System of equations by elimination y=-7x-29 y=-3x-9

Answers

Answer 1

The solution to the system of equations y=-7x-29 and y=-3x-9 using elimination method is x = 5 and y = -64.

To solve the system of equations by elimination, we need to eliminate one of the variables by adding or subtracting the two equations. In this case, we can eliminate y by subtracting the second equation from the first. This gives us:

y - y = -7x - 29 - (-3x - 9)

0 = -4x - 20

Simplifying this equation, we get:

x = 5

Now that we have found the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use the first equation:

y = -7x - 29

y = -7(5) - 29

y = -64

To learn more about equations click on,

https://brainly.com/question/29775795

#SPJ4

Complete question is:

Solve the given System of equations by elimination method

y=-7x-29,  y=-3x-9


Related Questions

a normal distribution of exam scores has a standard deviation of 8. a score that is 12 points above the mean would have a z-score of: a score that is 20 points below the mean would have a z-score of:

Answers

The standard deviation of a normal distribution of exam scores is 8. A score that is 12 points above the mean would have a z-score of 1.5, and a score that is 20 points below the mean would have a z-score of -2.5.

What is the z-score?

The z-score can be calculated by dividing the difference between a data value and the mean of the data set by the standard deviation of the data set.

The z-score of a score that is 12 points above the mean in a normal distribution of exam scores with a standard deviation of 8.

z = (x−μ)/σ = (x−μ)/σ = (12−0)/8 = 1.5

The z-score of a score that is 12 points above the mean in a normal distribution of exam scores with a standard deviation of 8 is 1.5.

The z-score of a score that is 20 points below the mean in a normal distribution of exam scores with a standard deviation of 8.

z = {x-μ}/{σ}  = {-20-0}/{8}  = −2.5

The z-score of a score that is 20 points below the mean in a normal distribution of exam scores with a standard deviation of 8 is -2.5.

Learn more about Z-score here:

https://brainly.com/question/15016913

#SPJ11

The product of two consecutive positive even integers is 120. Find the value of the
lesser integer.

Answers

Answer:

10. Other number is 12.

Explanation:

The prime factors of 120 are 2*2*2*3*5

To end up with even numbers, the odd numbers must be multiplied by even numbers. The only even numbers are 2s, while there are two odd numbers, 3 and 5.

So we MUST be talking about 2*3 and 2*5 with a 2 left over. That’s 6 and 10, which are by no stretch of the imagination consecutive. But we can either double the 10 (giving us 6 and 20, even less “consecutive”) or the 6.

Double 6 and we have 12. 10 and 12 are consecutive even numbers, because you can add two to get the next one.

Select all numbers that are solutions to the inequality w < 1

Answers

In the case of the inequality w < 1, we found that the set of solutions is (-∞, 1), which represents all real numbers less than 1.

The inequality w < 1 means that w is less than 1. To identify all the numbers that satisfy this inequality, we need to look for values of w that are less than 1.

We can continue this process and substitute different values of w in the inequality w < 1 to find more solutions. For instance, if we substitute w = -1, we get -1 < 1, which is also true.

Therefore, -1 is a solution to the inequality w < 1. However, if we substitute w = 2, we get 2 < 1, which is false. This means that 2 is not a solution to the inequality w < 1.

Therefore, the set of all numbers that are solutions to the inequality w < 1 is the set of all real numbers that are less than 1. We can represent this set using interval notation as (-∞, 1), where (-∞) represents all numbers less than negative infinity and 1 represents the upper bound of the interval.

To know more about inequality here

https://brainly.com/question/28823603

#SPJ4

Write the product in standard form.

(x - 7)²

Answers

Answer:

x² - 49

Step-by-step explanation:

(x - 7)² =

(x - 7) * (x - 7) =

x * x - 7 * 7 =

x² - 49

Suav wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 19^{\circ}

angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest hundredth of an inch if necessary.

Answers

The ramp will rise from the ground at its highest end to a height of approximately 8.56 inches. Rounded to the nearest hundredth of an inch, this is 8.56 inches.

What is fiberboard?

Fiberboard is a type of engineered wood product that is made by combining wood fibers or other plant-based fibers with a binder or adhesive, and then compressing and heating the mixture to create a dense, flat panel

According to question:

We can use trigonometry to solve this problem. Let's call the height of the ramp "h" and the length of the base "b". We want to find "h".

First, we need to find "b". We know that the fiberboard is 27 inches long, so the base of the ramp will be the length of the hypotenuse of a right triangle. Using trigonometry, we can find:

b = 27 * cos(19°) ≈ 25.68 inches

Next, we can use trigonometry again to find "h". We know that the angle of elevation from the ground is 19°, so the angle of depression from the ramp to the ground is also 19°. This means we have a right triangle with the height "h", the base "b", and an angle of 19°. Using trigonometry, we can find:

tan(19°) = h/b

Solving for "h", we get:

h = b * tan(19°) ≈ 8.56 inches

Therefore, the ramp will rise from the ground at its highest end to a height of approximately 8.56 inches. Rounded to the nearest hundredth of an inch, this is 8.56 inches.

To know more about fiberboard visit:

https://brainly.com/question/29157662

#SPJ1

Solve the following: 2x + y = 15 y = 4x + 3​

Answers

We can solve for y first
2x+y=15
Y=-2x+15
We Can than substitute y
-2x+15=4x+3
-6x=-12
X=2

In 2008 , the population of a district was 39,700 . With a continuous annual growth rate of approximately 3%, what will the population be in 2033 according to the exponential growth function?

Answers

The population will be approximately 84,161 in 2033 according to the exponential growth function.

The given information in the problem is;Population in 2008 = 39,700

Annual growth rate = 3%

We need to find out the population in 2033.

The formula for continuous exponential growth is;P(t) = P₀e^(rt)

where;P₀ is the initial populationr is the annual growth rate (in decimal form)t is the time elapsed (in years)

We are given P₀ = 39,700r = 0.03t = 2033 - 2008 = 25 years

Put these values in the formula of continuous exponential growth;

P(25) = 39,700e^(0.03 x 25)P(25)

= 39,700e^(0.75)P(25)

= 39,700 x 2.1170000493605122P(25)

= 84,161.13

To know more about exponential growth click on below link:

https://brainly.com/question/12490064#

#SPJ11

Tell me pls what is the answer to this question? 3=x+3-5x??????????

Answers

Answer:

[tex]\boxed{x=0}[/tex]

Step-by-step explanation:

We need solve for x

[tex]3=x+3-5x[/tex]

substract 3 to both sides of the equation:

[tex]3-3=x+3-5x-3\\0=-4x[/tex]

divide both sides of the equation by -4

[tex]\frac{0}{-4}=\frac{-4x}{-4}\\0=x\\\equiv x=0[/tex]

The value of "x" that satisfies the equation is x=0,

[tex]\text{-B$\mathfrak{randon}$VN}[/tex]

polygon ABCD is similar to polygon ZYXW list the relationships between angles and sides

Answers

The corresponding sides and angles of two polygons ABCD and ZYXW must be proportionate if they are identical.

What does a polygon shape mean?

With straight sides around its perimeter, a polygon is really a circular, two-dimensional, flat of planar structure. Its sides are straight with no bends. Another term for a polygon's sides is its edges. The points at which two sides of a polygon converge are known as its vertices (or corners). These are numerous examples of polygonal geometry.

Has a polygon always had four sides?

A closed polygon is a form with more than three sides. A quadrilateral is a 4-sided polygonal shape. A quadrilateral is any closed 4-sided form, however there are six particular quadrilaterals with distinctive characteristics that give them their own names.

To know more about polygons visit:

https://brainly.com/question/24464711

#SPJ1

Write the equation of a line that is perpendicular to y=-2/7+9 and that passes through the point (4,-6)

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{7}}x+9\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{-2}{7}} ~\hfill \stackrel{reciprocal}{\cfrac{7}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{7}{-2} \implies \cfrac{7}{ 2 }}}[/tex]

so we're really looking for the equation of a line whose slope is 7/2 and it passes through (4 , -6)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{7}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{ \cfrac{7}{2}}(x-\stackrel{x_1}{4}) \implies y +6= \cfrac{7}{2} (x -4) \\\\\\ y+6=\cfrac{7}{2}x-14\implies {\Large \begin{array}{llll} y=\cfrac{7}{2}x-20 \end{array}}[/tex]

Use the graph of f(x)=−8x-2x^2 to answer the question.
Is f(x) increasing, decreasing, or constant for -2

Answers

At x = -2, which is the vertex of the quadratic function, the function f(x) is constant.

How to classify a function as increasing, decreasing or constant?

To classify the graph of a function as increasing, decreasing, or constant, you need to examine the direction in which the graph is moving.

A function is considered increasing if its graph moves up and to the right as you follow it from left to right. In other words, if the y-values of the function increase as the x-values increase, then the function is increasing.A function is considered decreasing if its graph moves down and to the right as you follow it from left to right. In other words, if the y-values of the function decrease as the x-values increase, then the function is decreasing.A function is considered constant if its graph remains at the same level and does not move up or down as you follow it from left to right. In other words, if the y-values of the function do not change as the x-values increase, then the function is constant.

x = -2 is the vertex of the quadratic function, which is the turning point of the function, where it changes from increasing to decreasing, hence the function is considered to be constant at x = -2, as it has a derivative of zero at x = -2.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

On January 1,1999 , the average price of gasoline was $1.19 per gallon. If the price of gasoline increased by 0.3% per month, which equation models the future cost of gasoline? y=1.19(1.003)^(x) y=1.19(x)^(1.03) y=1.19(1.03)^(x)

Answers

Answer:

first one

Step-by-step explanation:

The equation that models the future cost of gasoline is y=1.19(1.003)^(x), where "y" represents the future cost of gasoline per gallon and "x" represents the number of months since January 1, 1999.

In this equation, the initial cost of gasoline is $1.19 per gallon, and the cost increases by 0.3% per month, which is represented by the factor of (1.003)^(x).

Using this equation, you can calculate the future cost of gasoline for any number of months after January 1, 1999. For example, if you want to calculate the cost of gasoline 24 months after January 1, 1999, you can plug in x=24 and calculate y as follows:

y = 1.19(1.003)^(24)

y = 1.19(1.08357)

y = 1.288 per gallon

Therefore, the predicted cost of gasoline 24 months after January 1, 1999 is $1.288 per gallon.

Jenny works at Sammy's Restaurant and is paid according to the rates in the following
table.

Jenny's weekly wage agreement
Basic wage $600.00
PLUS
$0.90 for each customer served.

In a week when Jenny serves n customers, her weekly wage, W, in dollars, is given by
the formula
W = 600+ 0.90n.

(i) Determine Jenny's weekly wage if she served 230 customers.

(ii) In a good week, Jenny's wage is $1 000.00 or more. What is the LEAST number
of customers that Jenny must serve in order to have a good week?

(iii) At the same restaurant, Shawna is paid a weekly wage of $270.00 plus $1.50 for
each customer she serves.
If W, is Shawna's weekly wage, in dollars, write a formula for calculating Shawna's
weekly wage when she serves m customers.

(iv) In a certain week, Jenny and Shawna received the same wage for serving the same
number of customers.
How many customers did they EACH serve?

Answers

Jenny works at Sammy's Restaurant and is paid according to the rates in the following

table.

Jenny's weekly wage agreement

Basic wage $600.00

PLUS

$0.90 for each customer served.

In a week when Jenny serves n customers, her weekly wage, W, in dollars, is given by

the formula

W = 600+ 0.90n.

(i) Determine Jenny's weekly wage if she served 230 customers.

(ii) In a good week, Jenny's wage is $1 000.00 or more. What is the LEAST number

of customers that Jenny must serve in order to have a good week?

(iii) At the same restaurant, Shawna is paid a weekly wage of $270.00 plus $1.50 for

each customer she serves.

If W, is Shawna's weekly wage, in dollars, write a formula for calculating Shawna's

weekly wage when she serves m customers.

(iv) In a certain week, Jenny and Shawna received the same wage for serving the same

number of customers.

How many customers did they EACH serve?

3 / 3

(i) If Jenny serves 230 customers, her weekly wage is

W = 600 + 0.90n = 600 + 0.90(230) = $807.00

Therefore, Jenny's weekly wage if she serves 230 customers is $807.00.

(ii) We want to find the least number of customers, n, that Jenny must serve in order to earn $1,000 or more. That is,

600 + 0.90n ≥ 1,000

0.90n ≥ 400

n ≥ 444.44

Since n must be a whole number, Jenny must serve at least 445 customers in order to earn $1,000 or more in a week.

(iii) Shawna's weekly wage, W, in dollars, when she serves m customers is given by the formula:

W = 270 + 1.50m

Therefore, Shawna's weekly wage when she serves m customers is $270.00 plus $1.50 for each customer she serves.

(iv) Let's assume that Jenny and Shawna received the same wage, W, for serving the same number of customers, x. Then we have:

Jenny's wage = 600 + 0.90x

Shawna's wage = 270 + 1.50x

Setting these two expressions equal to each other, we get:

600 + 0.90x = 270 + 1.50x

330 = 0.60x

x = 550

Therefore, Jenny and Shawna each served 550 customers.

4-77 Is the relationship shown in the 28+
graph at right below proportional? If
241
so, find the unit rate. If not, explain
why not.
The graph is/is not proportional
because
Unit rate:
Cost ($)
20
16-
12+
8
2 3 4 5
Number of Books
Purchased

Answers

Answer:

Step-by-step explanation:

A graph is proportional if the relationship between the two variables represented on the axes is constant, meaning that if one variable increases, the other variable also increases by the same factor. In other words, the graph forms a straight line that passes through the origin.

To find the unit rate, you need to look for the constant of proportionality, which is the ratio between the two variables represented on the graph. In this case, the variables are the number of books purchased and the cost in dollars.

If the graph is proportional, then the unit rate is the constant of proportionality, which is the cost per book. You can find the unit rate by dividing the total cost by the number of books purchased. For example, if the total cost for 4 books is $16, then the unit rate would be $4 per book.

If the graph is not proportional, then there is no constant of proportionality, and the unit rate cannot be calculated. The relationship between the two variables may be nonlinear, meaning that the rate of change between the variables is not constant.

A baby weighs 10 pounds at birth, and four years later the child's weight is 40 pounds. Assume that childhood weight W (in pounds) is linearly related to age t (in years).
(a) Express W in terms of t.

Answers

W in terms of t can be represented as W = 7.5t + 10.

When a baby weighs 10 pounds at birth and 40 pounds four years later, we must apply the linear equation to represent W in terms of t.

y = mx + b,

where

m indictaes the slope of the line while

b is the y-intercept.

The formula to find the slope of a line is as follows:

Slope (m) = (y2 - y1) over (x2 - x1)

Given that a baby weighs 10 pounds at birth, and four years later, the child's weight is 40 pounds, we can determine the slope of the line as:

Slope (m) = (40 - 10) over (4 - 0) = 30 / 4 = 7.5

Thus, the linear equation relating childhood weight W (in pounds) to age t (in years) is:

W = 7.5t + 10

Therefore, we can express W in terms of t as W = 7.5t + 10.

You can learn more about Slope at

https://brainly.com/question/3493733

#SPJ11

suppose a population grows according to a logistic model with initial population 200 and carrying capacity 2,000. if the population grows to 500 after one year, what will the population be after another three years?

Answers

Suppose a population grows according to a logistic model with initial population 200 and carrying capacity 2,000. If the population grows to 500 after one year, the population will be 852.78 after another three years.

What is the logistic model?

A logistic model, also known as the Verhulst-Pearl model, is a type of function used to describe population growth that is limited. It’s a form of exponential growth that takes into account the carrying capacity of an environment.

Population growth that is limited and slows down as the population approaches its carrying capacity is modeled using the logistic model. It is given by this equation:

[tex]P(t) = K / (1 + Ae^{-rt})[/tex]

where P(t) is the population at time t, K is the carrying capacity, A is the constant of proportionality, and r is the growth rate.

Suppose a population grows according to a logistic model with initial population 200 and carrying capacity 2,000. If the population grows to 500 after one year, substitute this information into the logistic model: [tex]P(1) = 500[/tex], [tex]K = 2000[/tex], and [tex]P(0) = 200[/tex].

[tex]500 = 2000 / (1 + Ae^{-r(1)})[/tex]

Now, solve for A by dividing both sides by 2000 / (1 + A):

[tex]1 + A = 4A = 3[/tex]

Substitute the value of A back into the logistic model equation:

[tex]P(t) = 2000 / (1 + 3e^{-rt})[/tex]

Solve for r by using the data provided in the problem for the first year (t = 1) and second year (t = 4):

[tex]P(1) = 500 = 2000 / (1 + 3e^{-r(1)})[/tex]

[tex]P(4) = ? = 2000 / (1 + 3e^{-r(4)})[/tex]

Solve the first equation for r:

[tex]500 = 2000 / (1 + 3e^{-r})\\1 + 3e^{-r} = 4e^{-r}\\1 + 3e^r = 4e[/tex]

Solve for e using the quadratic formula to get:

e = 0.4274 and e = 1.1713

Let e = 0.4274:

[tex]1 + 3e^{-r} = 4e^{-r}\\1 + 3(0.4274)^{-r} = 4(0.4274)^{r}\\1 + 0.5746^r = 1.7166^r[/tex]

Take the natural logarithm of both sides:

[tex]ln(1 + 0.5746^r) = ln(1.7166^r) - lnr\\ln(1 + 0.5746^r) = rln(1.7166) - lnr[/tex]

Use a graphing calculator to solve for r:

[tex]ln(1 + 0.5746^r) = rln(1.7166) - lnr[/tex];  -0.1568 < r < 0.7534

Solve for r using the second year’s data:

[tex]2000 / (1 + 3e^{-r(4)}) = P(4)\\2000 / (1 + 3(0.4274)^{-r(4)}) = P(4)\\P(4) = 852.78[/tex]

Thus, the population will be 852.78 after another three years.

Learn more about logistic model here:

https://brainly.com/question/30995760

#SPJ11

which number is greater? Explain. −−√70, 8

Answers

Answer:

Ans = 8

Step-by-step explanation:

because -- is + and  −−√70 is positive

so square root =8.366600265340757

and 8 is bigger as 8.366600265340757 is a decimal number.

-17.R Using Percents, Homework
Sarted: Mar 10 at 8:30pm
Question 1 of 9
The Quick Slide Skate Shop sells the Ultra 2002 skateboard for a price of $60.20. However, the Quick Slide
Skate Shop is offering a one-day discount rate of 45% on all merchandise. About how much will the Ultra 2002
skateboard cost after the discount?
$33.00
$87.00
$46.20
$27.00

Answers

The price after discount is $33 and option 1 is the correct answer.

What is a discount?

A discount is a drop in a product's or service's price. Discounts can be provided for a variety of purposes, such as to entice consumers to make larger purchases, to get rid of excess inventory, or to draw in new clients. Discounts can be represented as a set monetary amount or as a %, as in the example above. For instance, a shop may give customers $10 off any purchase of more than $50.

Given that, one-day discount rate of 45% is applied.

Thus,

Discount = 60.20 * 0.45 = 27.09

Price after discount = 60.20 - 27.09 = 33.11

Hence, the price after discount is $33 and option 1 is the correct answer.

Learn more about discount here:

https://brainly.com/question/16999193

#SPJ1

[amc10b.2011.7] the sum of two angles of a triangle is $\frac{6}{5}$ of a right angle, and one of these two angles is $30^{\circ}$ larger than the other. what is the degree measure of the largest angle in the triangle?

Answers

The degree measure of the largest angle is 72° in the triangle.

We have, The sum of two angles of a triangle is 6/5 of a right angle.

One of these two angles is 30° larger than the other.

Let A and B be the two angles of the triangle such that A = B + 30°.

We know that the sum of three angles in a triangle is 180°.

⇒ A + B + C = 180°

⇒ B + 30° + B + C = 180°

⇒ 2B + C = 150°

We also know that the sum of two angles of a triangle is 6/5 of a right angle.

⇒ A + B = 6/5 × 90°

⇒ B + 30° + B = 108°

⇒ 2B = 78°

⇒ B = 39°

C = 150° - 2B ⇒ 72°

A = B + 30° ⇒ 39° + 30° ⇒ 69°

Therefore, the degree measure of the largest angle in the triangle is 72°.

To know more about the "sum of two angles" of a triangle: https://brainly.in/question/19076450

#SPJ11

a researcher wishes to study railroad accidents. he wishes to select 3 railroads from 10 class i railroads, 2 railroads from 6 class ii railroads, and 1 railroad from 5 class iii railroads. how many different possibilities are there for his study?

Answers

There are, 6300 different possibilities for the researcher’s study.

How do we calculate the different possibilities?

Total number of class I railroads = 10Number of class I railroads selected = 3Total number of class II railroads = 6Number of class II railroads selected = 2Total number of class III railroads = 5Number of class III railroads selected = 1Number of different possibilities for selecting 3 class I railroads from 10 class I railroads = 10C3 = (10 x 9 x 8)/(3 x 2 x 1) = 120

Number of different possibilities for selecting 2 class II railroads from 6 class II railroads = 6C2 = (6 x 5)/(2 x 1) = 15Number of different possibilities for selecting 1 class III railroad from 5 class III railroads = 5C1 = 5Total number of different possibilities for selecting 3 class I railroads from 10 class I railroads, 2 class II railroads from 6 class II railroads, and 1 class III railroad from 5 class III railroads = 10C3 x 6C2 x 5C1= 120 x 15 x 5= 6300Therefore, there are 6300 different possibilities for the researcher’s study.

See more about calculate possibilities at: https://brainly.com/question/4658834

#SPJ11



Question

The average of three numbers is 16. If one of the numbers is 18, what is the sum of the other two

numbers?

12

14

20

30

Answers

If the average of three numbers is 16 and one of the numbers is 18, then the sum of the other two numbers is option (d) 30

Let's use algebra to solve this problem. Let x and y be the other two numbers we are looking for. We know that the average of the three numbers is 16, so we can write:

(18 + x + y) / 3 = 16

Multiplying both sides by 3, we get,

[(18 + x + y) / 3] × 3 = 16 ×3

18 + x + y = 48

Subtracting 18 from both sides, we get,

18 + x + y - 18 = 48

x + y = 30

Therefore, the correct option is (d) 30

Learn more about average here

brainly.com/question/1416374

#SPJ4

The ratio of distance runners to sprinters on a track is 5:3 how many distance runners and sprinters could be on the track team

Answers

Runners and sprinters could be on the track team is 25 distance.

Distance:

Distance is a qualitative measurement of the distance between objects or points. In physics or common usage, distance can refer to a physical length or an estimate based on other criteria (such as "more than two counties"). The term Distance is also often used metaphorically to refer to a measure of the amount of difference between two similar objects.

According too the Question:

Based on the based Information:

15× 5÷3

canceling all the common factor, we get:

5 × 5 = 25

Now, the Product or Quotient is 25.

Learn more about Distance:

https://brainly.com/question/15172156

#SPJ4

twenty percent of americans ages 25 to 74 have high blood pressure. if 16 randomly selected americans ages 25 to 74 are selected, find each probability. a. none will have high blood pressure. b. one-half will have high blood pressure. c. exactly 4 will have high blood pressure.

Answers

Then we will get the following odds

a.  None will have high blood pressure 0%b. One-half will have high blood pressure 20.2%c. Exactly 4 will have high blood pressure Similarly 23.6%

How do we calculate the probability?

a.  None will have high blood pressure. Let the probability of having high blood pressure be denoted by P(A) and the probability of not having high blood pressure be denoted by P(A'). Since none will have high blood pressure, it means all the sixteen Americans selected are healthy, and therefore P(A') = 1. Therefore

P(A) = 1 - P(A')= 1 - 1= 0

b. One-half will have high blood pressure. The probability that one-half of the sixteen Americans will have high blood pressure can be found using the binomial distribution formula that is given by the expression

[tex]P(X = r) = (nCr) * p^r * q^{(n-r)}[/tex]

Where

r = 8n = 16 p = 0.2 q = 1 - p = 0.8

Therefore

[tex]P(X = 8) = (16C8) * 0.2^8 * 0.8^8= 0.202[/tex]

c. Exactly 4 will have high blood pressure Similarly, the probability that exactly four of the sixteen Americans will have high blood pressure can be found using the binomial distribution formula as follows:

[tex]P(X = r) = (nCr) * p^r * q^{(n-r})[/tex]

Where

r = 4n = 16p = 0.2q = 1 - p = 0.8

Therefore

[tex]P(X = 4) = (16C4) * 0.2^4 * 0.8^{12}= 0.236[/tex]

See more about probability at: https://brainly.com/question/13604758

#SPJ11

Let Y be a binomial random variable with n trials and probability of success given by p. Use the method of moment-generating functions to show that U = n - Y is a binomial random variable with n trials and probability of success given by 1 - p.

Answers

U is a binomial random variable with n trials and probability of success given by 1 - p.

As Y is a binomial random variable with n trials and probability of success given by p. Using the moment-generating functions method, it can be shown that U = n - Y is a binomial random variable with n trials and probability of success given by 1 - p. The binomial distribution is described by two parameters: n, which is the number of trials, and p, which is the probability of success in any given trial. If a binomial random variable is denoted by Y, then:[tex]P(Y = k) = \binom{n}{k}p^{k}(1 - p)^{n-k}[/tex]

The method of generating moments can be used to show that U = n - Y is a binomial random variable with n trials and probability of success given by 1 - p. The moment-generating function of a binomial random variable is given by: [tex]M_{y}(t) = [1 - p + pe^{t}]^{n}[/tex]

The moment-generating function for U is: [tex]M_{u}(t) = E(e^{tu}) = E(e^{t(n-y)})[/tex]

Using the definition of moment-generating functions, we can write: [tex]M_{u}(t) = E(e^{t(n-y)})$$$$= \sum_{y=0}^{n} e^{t(n-y)} \binom{n}{y} p^{y} (1-p)^{n-y}[/tex]

Taking the summation of the above expression: [tex]= \sum_{y=0}^{n} e^{tn} e^{-ty} \binom{n}{y} p^{y} (1-p)^{n-y}$$$$= e^{tn} \sum_{y=0}^{n} \binom{n}{y} (pe^{-t})^{y} [(1-p)^{n-y}]^{1}$$$$= e^{tn} (pe^{-t} + 1 - p)^{n}[/tex]

Comparing this expression with the moment-generating function for a binomial random variable, we can say that U is a binomial random variable with n trials and probability of success given by 1 - p.

To learn more about "Binomial random variable": brainly.com/question/30657837

#SPJ11

. A circular fence is being used to surround a dog house. How much fencing is needed to build the fence?

Answers

45.53 ,fencing is needed to build the fence.

What is area?

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition polyhedra of arc length for one-dimensional curves and the definition of surface area for (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double much simpler mathematical concepts than the definition of surface area integration and is based on techniques used in infinitesimal calculus.sought a general definition of surface area.



Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.

2*3.14*14.5/2

45.53ft

learn more about area click here:

brainly.com/question/16519513

#SPJ1

In right triangle RST, with m∠S = 90°, what is sin T?

Answers

The ratio of the length of the side directly opposite the angle to the length of the hypotenuse is known as the sine of an acute angle in a right triangle.

Hence, the sine of angle T in the right triangle RST with a right angle at S is given by:

opposite side / hypotenuse = sin T

We must know the triangle's side lengths in order to calculate the value of sin T. We can use trigonometric ratios to calculate the lengths of the remaining sides.

if we know the length of the hypotenuse and the measurement of one acute angle.

thus, we cannot define the value of triangle RST.

To learn about triangle RST visit:

https://brainly.com/question/28738706?referrer=searchResults

#SPJ4

Choose the true statement 

Answers

The first one is correct

Answer: First one (the one you selected in the photo)

Step-by-step explanation:

If you need help draw a number line.

-8 is not equal to 8, as one is negative and the other is positive.

On a number line, -8 is to the left, meaning it is less, so the second one is false.

This means the first one is correct.

A(-2,6) B(2,3) C(2,-2) D(-2,1) whats the most descriptive name for this quadrilateral? justify your conclusion

Please help!!​

Answers

Answer:

Parallelogram

Step-by-step explanation:

a quadrilateral (4 sides figure) whose opposite sides are parallel.  The opposite sides have the same length and opposite angles are equal.

Helping in the name of Jesus.

a cyclist rides her bike at a speed of 21 kilometers per hour. what is this speed in kilometers per minute? how many kilometers will the cyclist travel in 2 minutes? (do not round the answer)​

Answers

Answer:

see the answer and explanation in the attached figure below

Step-by-step explanation:

GIVING BRAINLIST SO HURRY!!!!
What is the median of the data set represented by the dot plot?

Answers

Answer:

14

Step-by-step explanation:

scores  10 10 12 13 14 15 18 19 19     Median score is the one in the middle

Other Questions
Four reasons why not following changes in the job market may result in unemployment why miriam ferguson ran for governor of texas after her husband? what is the main product of the fermentation of protein-rich foods? the heart and soul of any company's strategy are the actions and moves in the marketplace that managers are taking to a simple and powerful tool for assessing a company's overall situation and sizing up its competitively relevant strengths and weaknesses, its market opportunities, and external threats to its future well being is widely known as 3.3. Illustrate why the following statements are gender myths. tesne 3.3.1. A woman cannot say no to sex in a heterosexual marriage or committed relationship. 3.3.2. Men are expected to be the breadwinners and providers of the house. 3.3.3. Women are naturally naturing and are always good at being mothers. paul made his first contact with corinth during which missionary journey? What we lose on the rooms we make on the sandwiches A certain half-reaction has a standard reduction potential EPod=-0.75 V. An engineer proposes using this half-reaction at the cathode of a galvanic cell that must provide at least 0.90 V of electrical power. The cell will operate under standard conditions. Note for advanced students: assume the engineer requires this half-reaction to happen at the cathode of the cell. Is there a minimum standard reduction potential that the half-reaction used at the anode of this cell can have? Is there a maximum standard reduction potential that the half-reaction used at the anode of this cell can have? By using the information in the ALEKS Data tab, write a balanced equation describing a half reaction that could be used at the anode of this cell. Note: write the half reaction as it would actually occur at the anode. Please help, this is due in 10 minutes, im giving 35 points for it. Modular design, an operations process for manufacturing products, does not allow products to be repaired quickly, thus increasing the cost of labor.True or False the development and persistence of the two-party system in the united states is best accounted for by Write 3-5 sentences containing ONE claim + 2-3 supporting details to answer the following question:Should the US have used the atomic bomb against Japan?All sentences should start with a capital letter and end with punctuation. Write an expression that can be a rule for the number sequence below.5, 9, 13, 17, 21, If Julie drives from York to corby via Derby. How many miles will she drive Brendan buys items at a cost of $23 each and sells them at $56 each.His profit per item is The instructional design process concludes with the. A. Implementation of the training program. B. Evaluation of the training program's results A nurse in teaching a group of clients who are planning to have bariatric surgery. Which of the fullowing statements by a client indicates an understanding of the teaching - I will consume 48 ounces of carbonated beverages daily prime to the surgery- I will need to lose 25 percent of my excess body weight a priod to surgery- I should wait 30 minutes after eating solid foods to drink beverages following surgery- "I should reduce my daily calorimetry alone to love 2 pounds each week after surgery" in the limbic system, the two most important structures for emotion are the insula and the amygdala. how to identify the actions associated with either the insula of the amygdala. F= (y + 2x, 2x + 5z, 7y + 8x), C is the circle with radius 5, cen- ter at (2,0,0), in the plane x = 2, and oriented counterclockwise as viewed from the origin (0,0,0).