given DEFY is a parallelogram. what’s the value of x and y?

find the area of the rectangle;

w x l = 8 x 10 = 80ft^2

circle;

pi(r)^2

r = 4

pi(4)^2

pi(16) = 50.24

80 + 50.24 = 130.24

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.

By Pythagoras' theorem,

(20)²+(48)²=x²

400+2304=x²

2704=x²

x=52

As we know, area of a triangle = 1/2 × b×h

                                           480= 1/2× 52 ×h

                                                  h=2×480/52

                                                  h= 18.46 = BD          

What is geometry?

Geometry with arithmetic is one of the oldest branches of mathematics. It deals with spatial properties such as distance, shape, size, and relative position of shapes. Mathematicians working in the field of geometry are called geometers.

Until the 19th century, geometry was mostly devoted to Euclidean geometry, which included the concepts of point, line, plane, distance, angle, area, and curve as basic concepts.

In the 19th century, several discoveries dramatically expanded the scope of geometry. One of the oldest discoveries of this kind is Carl Friedrich Gauss's Theorem Egregium ("Remarkable Theorem"), which loosely asserts that the Gaussian curvature of a surface is independent of any particular embedding in Euclidean space. I'm here. This meant that surfaces could be studied intrinsically, i.e., as spaces themselves, and extended to manifold theory and Riemannian geometry.

Therefore, A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.

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Ans (A)   P(CB/M) is  0.07

Ans (B)   P(CB ∩ M) is 0.0343

Ans (C)   P(CB) is 0.03634

Ans (D)   P(M/CB) is 0.94386

Let the population be 100.

Therefore,

No. of males (M) = 49

No. of females (F) = 51

No. of colourblind males =

[tex]\frac{7}{100} * 49 = \frac{343}{100} = 3.43[/tex]

No. of colourblind females =

[tex]\frac{0.4}{51} * 100 = 0.204[/tex]

Total colourblind people (CB) = 3.43 + 0.204 = 3.634

Ans (A)

P(CB/M) = P(CB ∩ M)/P(M) = 3.43/49 = 0.07

Ans (B)

P (CB ∩ M) = 3.43/100 = 0.0343

Ans (C)

P(CB) = 3.634/100 = 0.03634

Ans (D)

P (M/CB) = P(M ∩ CB)/P(CB) = 3.43/3.634 = 0.94386

These are the answers.

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The correct answer is $34900.

X : Average amount of loan of student debt by state .

X = N ( μ = $28500 , σ² = ( 3200 )² )

To find : What is the cutoff point that would place a state in top 2.5%

Let it be X

P( X > x ) = 0.025

P(X-μ/σ > X - 28500/3200) = 0.025

P(z >Z ) = 0.025

1 - P(z<Z ) = 0.025

P(z<Z ) = 0.975

φ(z) = 0.975

Z = φ⁻¹(0.975)

X - 28500/3200 = 1.96

X = 34772

i.e; P(X > 34772) = 0.025

Since, it is nearly equal to $34900 option b is correct.

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Answer: 3 of the squares should go down then 8 to the right.

Step-by-step explanation:

it just wants you to say how it was translated so take the corresponding points like p and p’ then count of many tiles it move to the right and then down to get from p to p’ you’ll see that it’s 8 right and 3 down.

hope this helps!

According to the given information $19.50 money did Bonnie spend on lunch.

The description of an equations in algebra is a quantitative expression that demonstrates the equality of two mathematical expressions. Thus instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which have been separated by the 'equal' sign.

The amount withdrew by Bonnie is $1200.

1/5 of the money withdrawn is used for travel arrangements.

the hardware shop for 2/3 of the remaining sum.

After lunch Bonnie had left with 300.50.

spent 1/5 on travel : 1/5(1200) = 1200/5 = 240

1200 - 240 = 960

she spent 2/3 on the hardware : 2/3(960) = 1920/3 = 640

960 - 640 = 320

320 - lunch = 300.50

320 - 300.50 = lunch

19.50 = lunch

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Answer:

Step-by-step explanation:

To find the probability that two students picked at random will wear hats of the same color, we can divide the number of successful outcomes by the total number of possible outcomes.

There are a total of 15 students, and we are picking two of them at random, so there are a total of 15 * 14 = 210 possible pairs of students.

There are 7 students wearing red hats, so there are 7 * 6 = 42 pairs of students who are both wearing red hats.

There are 6 students wearing green hats, so there are 6 * 5 = 30 pairs of students who are both wearing green hats.

There are 2 students wearing white hats, so there are 2 * 1 = 2 pairs of students who are both wearing white hats.

Altogether, there are 42 + 30 + 2 = 74 successful outcomes (pairs of students who are wearing hats of the same color).

The probability that two students picked at random will wear hats of the same color is therefore 74/210 = 37/105.

The data item that corresponds to the z-score of 2.5 is 450.

What is Standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance. Although less robust in practice, it is algebraically easier than the average absolute deviation. The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, makes it a valuable statistic.

As, x = z×s + u, where z=2.5, s=60, u=300

⇒ x = 2.5×60 + 300

⇒ x = 150 + 300

⇒ x = 450

The data item that corresponds to the given z-score is 450.

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Coefficient of determination ([tex]r^{2}[/tex]) = 0.527 and Coefficient of non-determination ( [tex]1-r^{2}[/tex]) = 0.473

The coefficient of correlation is the “R” value which is given in the summary table in the Regression output. R square is also called the coefficient of determination. To find the value of R squared, multiply R by R. In other words, the square of the correlation coefficient is the coefficient of determination. The coefficient of determination is a statistical measurement that examines how differences in one variable can be explained by the difference in a second variable when predicting the outcome of a given event.

The Coefficient of Non-Determination explains the amount of unexplained, or unaccounted-for, variance between two variables, or between a set of variables (predictors) in an outcome variable.

Given,

r = 0.726

Coefficient of determination ([tex]r^{2}[/tex]) = 0.527

Coefficient of non-determination ( [tex]1-r^{2}[/tex]) = 0.473

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x=4 is the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.

Given that,

Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x) = (4 - x)/x³ for x > 0

We have to find

(a)Discover the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.

We know that,

f'(x) = 4-x/x³ = 4/x³ - 1/x²

Critical point f'(x)=0

4-x/x³=0⇒x=4

Therefore, x=4 is the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.

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Answer:

D (-8, -16)

Step-by-step explanation:

(4+x)/2 = -2

4+ x = -2 · 2

4 + x = -4

x = -4 - 4

x = -8

(4 + y)/2 = -6

4 + y = -6 · 2

4 + y = -12

y = -12 - 4

y = -16

We can fill in the remaining fractions and percentages.
as

0                              4/10                     7/10          9/10    1
|-------|-------|-------|-------|-------|-------|-------|-------|-------|---------|
 0%  10%                    40%                                   90%   100%

What is a number line?

A number line is a straight line that is used to represent real numbers. The numbers are usually represented as points on the line, and the distance between the points corresponds to the magnitude of the numbers. The numbers can be positive or negative and are typically marked at regular intervals.

The missing parts are
0                              4/10                     7/10          9/10    1
|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|
 0%  10%                    40%                                   90%   100%

This is how we can fill in the remaining fractions and percentages.

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(a) The balance be at the end of the year is $502.53.

(b) The Effective annual interest rate is 0.5%.

(c) The Effective annual interest rate must be less than 6%.

What is effective annual interest rate?

The percentage of interest on a loan or financial product that would apply if compound interest built up over a year without any payments would be called the effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate.

Given:

P = $500,  n = 12,  r = 0.5% = 0.005, t = 1

So, the balance be at the end of year is,

[tex]A = P(1+\frac{r}{n})^n^t \\A = 500(1+\frac{0.005}{12})^1^2^*^1 \\A = 500(1.00042)^1^2\\A = 502.53[/tex]

Now to find the effective annual interest rate,

Effective annual interest rate = [tex]= (1+\frac{r}{n})^n-1 = (1+\frac{0.005}{12})^1^2 - 1= 0.005[/tex]

Effective annual interest rate = 0.5%

So, the Effective annual interest rate must be less than 6%.

Hence,

(a) The balance be at the end of the year is $502.53.

(b) The Effective annual interest rate is 0.5%.

(c) The Effective annual interest rate must be less than 6%.

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Answer:

m∠2 = 110°

m∠4 = 110°

Step-by-step explanation:

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Transitive Property of Equality

If any angles are congruent to the same angle, then they are congruent to each other.

--------------------------------------------------------------------------------------

As line p is parallel to line q, according to the Corresponding Angles Postulate:

⇒ m∠2 = m∠10

According to the Vertical Angles Theorem:

⇒ m∠10 = m∠13

According to the Transitive Property of Equality:

⇒ m∠2 = m∠13

Therefore:

⇒ 8x + 14 = 10x - 10

⇒ 8x + 14 - 8x = 10x - 10 - 8x

⇒ 14 = 2x - 10

⇒ 14 + 10 = 2x - 10 + 10

⇒ 24 = 2x

⇒ 2x = 24

⇒ 2x ÷ 2 = 24 ÷ 2

⇒ x = 12

Substitute the found value of x into the expression for the measure of angle 2:

⇒ m∠2 = 8(12) + 14

⇒ m∠2 = 96 + 14

⇒ m∠2 = 110°

--------------------------------------------------------------------------------------

As line p is parallel to line q, according to the Corresponding Angles Postulate:

⇒ m∠12 = m∠4

⇒ 15y + 5 = 13y + 19

⇒ 15y + 5 - 13y = 13y + 19 - 13y

⇒ 2y + 5 = 19

⇒ 2y + 5 - 5 = 19 - 5

⇒ 2y = 14

⇒ 2y ÷ 2 = 14 ÷ 2

⇒ y = 7

Substitute the found value of y into the expression for the measure of angle 4:

⇒ m∠4 = 13(7) + 19

⇒ m∠4 = 91 + 19

⇒ m∠4 = 110°

Answer:

Answer: 0.4419

Step-by-step explanation:

Given: The birth weights of full-term newborn infants in the U.S. have an approximately normal distribution with a mean weight of 6.8 lbs and a standard deviation of 1.7.

i.e.

Let X denotes the birth weight.

Then, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is given by :-

Hence, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is 0.4419 .

Step-by-step explanation:

For given data the scatterplot is shown below and the linear correlation coefficient is r = 0.4693

In this question we have been given a data.

We need to use a scatterplot and the linear correlation coefficient r to determine whether there is a correlation between the two variables.

Given data is:

x| 0.8 1.6 2.7 3.3 4.2 5.8 6.5 7 8.9 9.3 10.8 11.3 12.4 13.7 14.9

y| 3.8 1.9 12.6 9.4 8.2 7.1 4.1 0.1 11.9 13.3 14.1 8.5 9.6 7.4 14.1

The scatter plot for given data is as shown below.

An equation of the line of best fit is: y = 0.4623x + 4.9176

And the coefficient of correlation is:

r = √0.2202

r = 0.4693

Therefore, the scatterplot of given data is shown below.

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The inverse of the equation is y = (5/x) + 1

From the question, we have the following parameters that can be used in our computation:

y = 5/(x - 1)

Start by swaping the positions of x an dy

So, we have the following representation

x = 5/(y - 1)

So, we have

x(y - 1) = 5

Divide both sides by x

y - 1 = 5/x

Add 1 to both sides

y = (5/x) + 1

Hence, the inverse is y = (5/x) + 1

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The missing angle in the parallel lines is as follows;

When parallel lines are cut by a transversal, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.

Therefore, let find angle m∠STW .

VX and SU are parallel lines. RY is the transversal line.

Hence,

m∠VWY = 125 degrees

m∠VWY =  m∠STW (corresponding angles)

Corresponding angles are congruent to each other.

Therefore.

m∠STW  = 125 degrees

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a; The Nash equilibria of this game are (AOC, AOC) and (CB, CB). Both of these are subgame-perfect Nash equilibria.

In this case, it is better to be the donor who goes first (donor 1). This is because donor 1 can choose the outcome they prefer, and donor 2 will then have to accept the choice made by donor 1.

b; The subgame perfect Nash equilibrium of this game is (AOC, CB, CB). This equilibrium implies that donor 1 backs AOC, donor 2 backs CB, and donor 3 also backs CB. In this case, donor 3 has more power than the other two donors, as they are able to influence the outcome even though they go last.

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Answer:

what we cookin ma boi

Step-by-step explanation:

The monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.

The given table is:

                          Df          SS                     MS                F

Regression          1          555,420          555,420          7.64

Residual              27       1,962,873         72,699

Total                    28        2,518,293

                    Coefficients         Standard Error         t-stat        p-value

Intercept          784.92                322.25                    2.44           0.02

Service             9.19                     3.20                      2.87           0.01

We have to find the monthly salary of an employee that has worked for 48 months at the bank.

Salary = β(0)+ β(1) Service

y = β(0)+ β(1)x

where, Service = x(in months)

Service = y(in $)

From the table

y = 784.92+9.19x

If x=48 months

Then, y = 784.92+9.19(48)

y = 784.92+441.12

y = 1226.04

Hence, the monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.

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Answer:

27.29 honestly this is a wild guess

Step-by-step explanation:

7.35% of 147.25 = 10.82

147.25-10.82=136.43

20% of 136.43 = 27.286(27.29)

The total accumulated value if $1000 is deposited starting from 2017: (a) using the investment year value is $1897 and (b) Using the portfolio method is $1280.50

You should be aware that the investment year rates are divided into three. Therefore, sum the rates to get the total rate for the years

(a)

Using the investment year method

Total rate for the investment year is

10.0%+10.0%+9.9%=29.9%

The investment value is=$1000

=29.9%*$1000

=0.299*1000

=$299*3 years= $897

After three years = $(1000+897)

=$1897

(b) Using the portfolio method

rate=9.35%

Value=$1000

=9.35%*1000

0.0935*1000

=$93.5

After 3 years, from 2017 = $[1000+(3*93.5)]

=$(1000+20.5)

=$1280.5

In conclusion, the total accumulated value if $1000 is deposited starting from 2017: (a) using the investment year value is $1897 and (b) Using the portfolio method is $1280.50

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Answer:

the square root function stretched by 2 and shifted so that its turning point is located at (3,-5) is h(x) = 2 * sqrt(x + 3) - 5.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

B: It translates the graph 9 units to the right.

Step-by-step explanation:

The value 9 has the effect of translating the graph of function f(x) = |x| 9 units to the right. This is because the transformation g(x) = |x - 9| is obtained from f(x) = |x| by subtracting 9 from the argument of the absolute value function. This has the effect of shifting the graph of f(x) to the right by 9 units.

Therefore, the correct answer is B: It translates the graph 9 units to the right.

The table that represents a linear equation is the first one, and the line is:

y = 5x + 5

To check which table represents a linear function, you need to identify the increases in x, and check that al the increases/decreases in y are constant.

For example, if you look at the last table:

x = 0, 1, 2, 3

y = 1, 2, 4, 8

First x goes from 0 to 1, so 1 unit increase.

y goes from 1 to 2, 1 unit increase.

Then x goes from 1 to 2, 1 unit increase.

y goes from 2 to 4, 2 units increase.

The increase is not constant, thus it is not a linear equation.

The tables 2 and 3 can be discarded because have both increases/decreases.

Table 1 is the one that represents a linear equation:

x: 0, 1, 2, 3

y: 5, 10, 15, 20

Where the increases in y are always of 5 units, and the linear equation is:

y = 5*x + 5

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To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result

The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line

To find the slope of the curve at a given point

First differentiate the given equation of the curve with respect to x

That is dy / dx.

The derivative of the equation of the curve  is the slope of the curve.

In next step substitute the value of x in the slope of the curve

The result will be the slope of the curve at a given point

Therefore, these are the steps to find the slope of the curve

I have answered the question in general, as the given question is incomplete

The complete question is:

How to find the slope of a curve at a given point?

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Because the sample population is normally distributed, it is safe to apply the Central Limit Theorem, even if the sample size for each sample is 15.

(this means that option c is correct).

The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], with mean and standard error given as follows:

The Central Limit Theorem can be applied when at least one of these two conditions is true.

In this problem, the sample size is of 15, which is less than 30, meaning that the Central Limit Theorem can be applied only because the underlying population is normally distributed, meaning that option c is correct.

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