Ms. Do Bee, the 8th grade mathematics teacher gives exams that are 20 multiple choice questions. Each question has for possible answers. Ms. Do Bee has a standing offer. if you get every question wrong, your grade on the exam is A.

a) supposed (especially having done no studying) you simply guess I each question. Find the probability you get none correct. Explain where this probability comes from.

b) does Ms. Do Bee’s offer make sense? Why or why not? explain.

Ms. Do Bee, The 8th Grade Mathematics Teacher Gives Exams That Are 20 Multiple Choice Questions. Each

Answers

Answer 1

In response to the stated question, we may state that As a result, the probability of correctly answering none of the 20 questions is roughly 0.0000262, or 0.00262%.

What is probability?

Probabilistic theory is a branch of mathematics that calculates the likelihood of an event or proposition occurring or being true. A risk is a number between 0 and 1, with 1 indicating certainty and a probability of around 0 indicating how probable an event appears to be to occur. Probability is a mathematical term for the likelihood or likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1 or as percentages ranging from 0% to 100%. In relation to all other outcomes, the ratio of occurrences among equally likely alternatives that result in a certain event.

The likelihood of getting any one question accurate is 1/4 if you merely guess on each question. The binomial distribution formula may be used to calculate the chance of correctly answering none of the 20 questions:

P(X=0) = (n choose X) * pX * (1-p) (n-X)

[tex]If n=20, X=0, and p= 1/4\\P(X=0) = (20 pick 0) (20 choose 0) * (1/4)^0 * (3/4)^20\\P(X=0) = 1 * 1 * 0.0000262\\P(X=0) = 0.0000262[/tex]

As a result, the probability of correctly answering none of the 20 questions is roughly 0.0000262, or 0.00262%.

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Related Questions

Assuming that the equation defines a differential function of x, find Dxy by implicit differentiation. 4)2xy-y2 = 1 5) xy + x + y = x2y2

Answers

For the equations 2xy - y^2 = 1 and xy + x + y = x^2y^2 using implicit differentiation the value Dxy is given by Dxy = (1 - 2xy + 3y^2)/(x - y)^3 and Dxy = (2y^2 - 2xy - 3y - 1)/(x - 2xy + 1)^3  respectively.

Equation 2xy - y^2 = 1,

Differentiate both sides of the equation with respect to x,

Treating y as function of x and then differentiate again with respect to x.

Using implicit differentiation,

First, differentiate both sides with respect to x,

2y + 2xy' - 2yy' = 0

Next, solve for y',

⇒2xy' - 2yy' = -2y

⇒y' (2x - 2y) = -2y

⇒y' = -y/(x - y)

Now, differentiate again with respect to x,

y''(x - y) - y'(2x - 2y) = y/(x - y)^2

Substitute the expression we obtained for y' in terms of y and x,

y''(x - y) - (-y/(x - y))(2x - 2y) = y/(x - y)^2

Simplify and solve for y'',

y''(x - y) + (2xy - 3y^2)/(x - y)^2 = 1/(x - y)^2

The expression for Dxy is,

Dxy = (1 - 2xy + 3y^2)/(x - y)^3

For the equation xy + x + y = x^2y^2,

Differentiate both sides of the equation with respect to x,

Using implicit differentiation,

First, differentiate both sides with respect to x,

⇒y + xy' + 1 + y' = 2xyy'

Solve for y',

⇒xy' - 2xyy' + y' = -y - 1

⇒y' (x - 2xy + 1) = -y - 1

⇒y' = -(y + 1)/(x - 2xy + 1)

Now, differentiate again with respect to x,

y''(x - 2xy + 1) - y'(2y - 2x y' + 1) = (y + 1)/(x - 2xy + 1)^2

Substitute the expression we obtained for y' in terms of y and x,

y''(x - 2xy + 1) - (-y - 1)/(x - 2xy + 1)^2 (2y - 2x y' + 1) = (y + 1)/(x - 2xy + 1)^2

Simplify and solve for y''

y''(x - 2xy + 1) - (2y^2 - 2xy - 2y)/(x - 2xy + 1)^2 = (y + 1)/(x - 2xy + 1)^2

The expression for Dxy is,

Dxy = (2y^2 - 2xy - 3y - 1)/(x - 2xy + 1)^3

Therefore , the value of Dxy using implicit differentiation for two different functions is equal to

Dxy = (1 - 2xy + 3y^2)/(x - y)^3 and Dxy = (2y^2 - 2xy - 3y - 1)/(x - 2xy + 1)^3

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Please indicate which is the best answer to complete the figure below.

Answers

Answer:b

Step-by-step explanation:

Can someone please tell me what 5 divided by 1/3 is?

Answers

Answer:

15.

The trick to working out 5 divided by 1/3 is similar to the method we use to work out dividing a fraction by a whole number.All we need to do here is multiply the whole number by the numerator and make that number the new numerator. The old numerator then becomes the new denominator.

So, the answer to the question "what is 5 divided by 1/3?" is
15!


Also, please mark me as Brainliest! It would really be appreciated :D (just click the little crown)

5/(1/3)

3/3 x 5/1 / 1/3 =15/3 / 1/3 = 15

answer: 15

find a polynomial function with the following zeros: double zero at -4 simple zero at 3.

Answers

f(x) = (x+4)^2(x-3) has polynomial function with the following zeros: double zero at -4 simple zero at 3.

If a polynomial has a double zero at -4, it means that it can be factored as (x+4)^2.

If it also has a simple zero at 3, then the factorization must include (x-3).

Therefore, the polynomial function with these zeros is :-

f(x) = (x+4)^2(x-3)

This polynomial has a double zero at -4, because $(x+4)^2$ has a zero of order 2 at -4, and a simple zero at 3, because $(x-3)$ has a zero of order 1 at 3.

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A bicycle wheel is 63m in diameter. how many metres does the bicycle travel for 100 revolutions of the wheel. (pie=²²/⁷​

Answers

Answer:

19782m

Step-by-step explanation:

1  revolution = circumference

circumference = π * diameter

π = 3.1416

Then

circumference = 3.1416 * 63

= 197.92m

1 revolution = 197.82m

100 revolutions = 100*197.82m

= 19782m

Answer:

19.8 km

Step-by-step explanation:

To find:-

The distance travelled in 100 revolutions .

Answer:-

We are here given that,

diameter = 63m

We can first find the circumference of the wheel using the formula,

[tex]:\implies \sf C = 2\pi r \\[/tex]

Here radius will be 63/2 as radius is half of diameter. So on substituting the respective values, we have;

[tex]:\implies \sf C = 2\times \dfrac{22}{7}\times \dfrac{63}{2} \ m \\[/tex]

[tex]:\implies \sf C = 198\ m \\[/tex]

Now in one revolution , the cycle will cover a distance of 198m . So in 100 revolutions it will cover,

[tex]:\implies \sf Distance= 198(100)m\\[/tex]

[tex]:\implies \sf Distance = 19800 m \\[/tex]

[tex]:\implies \sf Distance = 19.8 \ km\\[/tex]

Hence the bicycle would cover 19.8 km in 100 revolutions.

I’m having a hard time understanding how to get the Domain and Range. If you help please

Answers

Answer:

[-1,inf) and [-2,inf)

Step-by-step explanation:

Domain is all the X coordinates that the function will pass through. it starts at -1 and goes to inf so [-1,inf) is the domain. The range is all the Y coordinates the function will pass through. It starts at -2 and goes up to inf so [-2,inf) and that is your answer

TRUE OR FALSE to calculate the average of the numeric values in a list, the first step is to get the total of values in the list.

Answers

The given statement 'to calculate the average of the numeric values in a list  the first step is to get the sum of all the given values ' is a true.

Average of the numeric values in a list,

First step is to get the sum of values in the list.

It is not the total number of values.

Once we have the sum, we can divide it by the number of values to get the average.

Here is an example,

Suppose we have a list of numeric values are as follow,

[2, 4, 6, 8, 10].

To calculate the average of these values, we first find their sum,

2 + 4 + 6 + 8 + 10 = 30

Next,

divide the sum by the number of values in the list

Number of values = 5

30 / 5 = 6

This implies,

The average of the values in the list is 6.

Therefore, to get the average first step is to get the total of all values is true statement.

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Consider the line segment AB
shown. Which of the following
locations for point C makes ABC a right triangle with hypotenuse AB?
A - C(7,9)
B - C(1,4)
C - C(2,3)
D - C(8,7)

Answers

Consider the line segment AB shown the locations for point C makes ABC a right triangle with hypotenuse AB

C - C(2,3)

How to find point C with hypotenuse AB

In a coordinate pair the points are as represented as (x, y).

The point that forms the right triangle is located by tracing the point on the x axis of of the point A and the point on the y axis of the point B.  This is done below

A (2, 1) point on x axis here is 2B (9, 3) point on y axis here is 3

therefore we can say that the point C that forms the right triangle is

C (2, 3)

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true/false. when the population variance is not known (i.e., must be estimated from data), we use a z-statistic instead of a t-statistic for our hypothesis tests.

Answers

The given statement " when the population variance is not known (i.e., must be estimated from data), we use a z-statistic instead of a t-statistic for our hypothesis tests. " is false. Because in distribution of sample means, population variance is unknown.

When the population variance is not known and must be estimated from the data, we use a t-statistic instead of a z-statistic for our hypothesis tests.

This is because the distribution of the sample means follows a t-distribution when the population variance is unknown, whereas it follows a standard normal distribution (z-distribution) when the population variance is known.

The t-distribution has fatter tails than the z-distribution to account for the extra uncertainty introduced by estimating the population variance from the sample.

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6TH GRADE MATH, SOMEONE PLS FIND THE SLOPE IN THIS EQUATION TY

Answers

Answer:

slope is -2

Step-by-step explanation:

100% correct :)

The slope is what is next to the x in y=mx+b

so if it was like this y=3x + 2

3 is the slope

hope that makes sense

Let S be the universal set, where:
S={1,2,3,...,18,19,20}
Let sets A and B be subsets of S, where:

Answers

The elements in the set  (A∩B¹) = {2,11,12,} and (B∩A¹) ={5,7,8,9,13,15,16,18}

What is set theory?

You should understand that Set theory is a branch of mathematical logic that studies sets, which can be informally described as collections of objects such as numbers, alphabets and variables.

The universal set

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

A = {1,2,6,11,12,19,20}

B = {1,5,6,7,8,9,13,15,16,18,19,20}

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

B¹ = {2.3.4.10.11.12.14.17)

A = {1,2,6,11,12,19,20}

(A∩B¹) = {2,11,12,}

The elements of (B∩A¹) is

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

A = {1,2,6,11,12,19,20}

A¹ = {3,4,5,7,8,9,10,13,14,15,16,17,18}

B = {1,5,6,7,8,9,13,15,16,18,19,20}

(B∩A¹)  = {5,7,8,9,13,15,16,18}

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in a class if 108 students, 60 like football, 53 like Tennis and 10 like neither. calculate the number of students who like football but not tennis​

Answers

Answer:

60 - 10 = 50

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what is the range of function m?

Answers

The range of the function m is [1, ∞). Thus, B is correct option.

What are a function's range and domain?

The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.

Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.

Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).

As a result, the function m has a range of [1, ∞).

We can write: in interval notation:

m ∈ [1, ∞) range.

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Consider the following algebraic statements and determine the values of x for which each statement is true. On a number line, show the set of all points corresponding to the values of x.

4=|-2x|

Answers

Your question is incomplete. The complete question is: Consider the following algebraic statements and determine the values of x for which each statement is true. On a number line, show the set of all points corresponding to the values of x.

|x| = 7

4=|-2x|

The values of x for which each statement is true are:

|x| = 7: x = -7 or x = 7

4 = |-2x|: x = -2    or x = 2

How to determine the values of x for which each statement is true?

a) |x| = 7

-x = 7 or x = 7

x = -7 or x = 7

This statement is true for two values of x:

x = -7 and x = 7.

b) 4 = |-2x|

4 = -2x or 4 = 2x

x = -2    or x = 2

This statement is true for two values of x:

x = -2 and x = 2.

The number line is shown in the image attached.

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mr.woodstock has a plot of land 36 meter long and 16 meters wide. he uses the land for mixed farming- rearing animals and growing crop? what length of wire does mr woodstock need to fence his land​

Answers

To calculate the amount of wire needed to fence Mr. Woodstock's land, you will need to use the formula for the perimeter of a rectangular shape. The formula for perimeter is Length + Width x 2.

Plugging in the given dimensions for Length (36 meters) and Width (16 meters) will give us the following calculation:

36 + 16 x 2 = 88 meters

Therefore, Mr. Woodstock will need 88 meters of wire to fence his land.

When two unequal forces act on an object, it causes the object to move.
These forces are called:

Answers

Answer:

resultant force

Step-by-step explanation:

the body will move to the direction where greater force is applied

HELP ASAP PLEASE! A yard plan includes a rectangular garden that is surrounded by bricks. In the drawing, the garden is 7 inches by 4 inches. The length and width of the actual garden will be 35 times larger than the length and width in the drawing.

What is the perimeter of the drawing? Show your work.

What is the perimeter of the actual garden? Show your work.

What is the effect on the perimeter of the garden with the dimensions are multiplied by 35? Show your work.

Answers

The perimeter of the garden in the drawing is 22 inches and the perimeter of the actual garden is 770 inches

The perimeter of the drawing

The perimeter of the garden in the drawing is calculated as

Perimeter of garden in drawing = 2(length + width)

So, we have

Perimeter of garden in drawing = 2(7 inches + 4 inches)

Evaluate

Perimeter of garden in drawing = 22 inches

So the perimeter of the garden in the drawing is 22 inches.

The perimeter of the actual garden

For the perimeter of the actual garden, we have

Perimeter of actual garden = 22 inches * 35

Perimeter of actual garden = 770 inches

The effect on the perimeter

We can see that the perimeter of the actual garden is 35 times larger than the perimeter of the garden in the drawing.

This makes sense since the length and width of the actual garden are 35 times larger than the length and width in the drawing, so the perimeter (which is the sum of the lengths of all four sides) would also be 35 times larger.

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use the equation that you wrote in excerise 21 to find the number of vertices of a cube, which has 12 edges and 6 faces

Answers

The cube has 8 vertices. Exercise 21 states that for a polyhedron with V vertices, E edges, and F faces, the following equation holds:

V - E + F = 2

To use this equation to find the number of vertices of a cube with 12 edges and 6 faces, we first need to identify the values of E and F.

A cube has 12 edges, as given in the problem statement, and it has 6 faces since a cube has 6 square faces.

Substituting these values into the equation, we get:

V - 12 + 6 = 2

Simplifying this equation, we have:

V - 6 = 2

Adding 6 to both sides, we get:

V = 8

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If z=x+y ;where x varies p Square and y varies 1/p, find the equation connecting z and p . If z=5 when p=2 ,and z=6 when p=4 find z when p=6

Answers

The equation connecting z and p is:

z = x + (1/p)

To find z when p = 6, we can use the values of x and y when p = 2 and p = 4 to calculate the corresponding value of z when p = 6.

When p = 2, x = 4 and y = 1, so z = 5

When p = 4, x = 16 and y = 0.25, so z = 16.25

Therefore, when p = 6, x = 36 and y = 0.167, so z = 36.167

Please help !!!! Given m∥n, find the value of x.

(3x+5) (x-25) = 180 degrees

Answers

Answer:

Step-by-step explanation:

[tex](3x+5)+(x-25)=180 \text{ \ (angles on a straight line are supplementary)}[/tex]

                 [tex]4x-20=180[/tex]

                         [tex]4x=200[/tex]         (+20 both sides)

                           [tex]x=50[/tex]           (÷4 both sides)

3x+5+x-25
4x-20=180
4x-20+20=180+20
4x=200
Divide both sides by the same factor

Cancel terms that are in both the numerator and denominator
Divide the numbers
4
x
4
=
200
4
4

4
=
2
0
0
4
x
=
50

=
5
0

Jason invested $5,500 in an account paying an interest rate of 1 7/8 ​ % compounded quarterly. Kayden invested $5,500 in an account paying an interest rate of 1 3/8 ​ % compounded annually. After 8 years, how much more money would Jason have in his account than Kayden, to the nearest dollar?

Answers

Using compounding we know that the additional amount Jason has more than Kayden is $249.48.

What is compounding?

Calculating interest on the principal borrowed as well as any prior interest.

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one.

So, the amount of Jason after 8 years:

Amount: $5500

Interest: 1.875%

Compounded: Quarterly

Using a compounding calculator:

Amount after 8 years: $6,387.85

The amount of Kayden:

Amount: $5500

Interest: 1.375%

Compounded: Quarterly

Using a compounding calculator:

Amount after 8 years: $6,138.37

The additional amount Jason got: 6,387.85 - 6,138.37 = $249.48


Therefore, using compounding we know that the additional amount Jason has more than Kayden is $249.48.

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Answer:253

Step-by-step explanation:

Write the function in factored form. Check by multiplication.
y = - 4x³ - 16x² +84x
y= (Factor completely.)

Answers

Answer:

Step-by-step explanation:

We can factor out a common factor of -4x from the equation:

y = -4x(x² + 4x - 21)

To factor the quadratic expression in the parentheses, we need to find two numbers that multiply to -21 and add to 4. These numbers are 7 and -3:

y = -4x(x + 7)(x - 3)

To check our work, we can multiply the three factors:

y = -4x(x + 7)(x - 3) = -4x(x² + 4x - 21) = -4x³ - 16x² + 84x

So the factored form is y = -4x(x + 7)(x - 3), and the check shows that we have factored the equation correctly.

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Since ∠1 ≅ ∠3 and ∠3 ≅ ∠7, then:

A) ∠6 ≅ ∠7
B) ∠7 ≅ ∠8
C) ∠1 ≅ ∠7

Answers

Answer:

C) ∠1 ≅ ∠7

Step-by-step explanation:

If ∠1 = ∠3, then ∠3 = ∠7, behind there is written ∠1 = ∠3, so it's A) ∠1 = ∠7.

Sorry if photo is side ways or upside down

Answers

Hi! For question 4:

1 gallon = 8 pints, therefore 2 gallons = 16 pints.

10 members = 10 pints drank, which means 16-10=6 pints left (A).


For question 5:
PART A
1 step = 1 meter
1km = 1,000 meter, hence
5km = 5,000 steps.


PART B
1 step = 0.5 meters
1km = 2,000 steps, hence
5km = 10,000 steps.

Hope this helped you!

Next > Pretest: Essential Learning 13 Select the correct answer. What is the simplified form of this expression? (5x² + 2x + 11) − (7 + 4x - 2x²) ​

Answers

Answer:

7x² - 2x + 4

Explanation:

(5x² + 2x + 11) − (7 + 4x - 2x²) ​

= 5x² + 2x + 11 - 7 - 4x + 2x²

= 7x² + 2x + 11 - 7 - 4x

= 7x² - 2x + 11 - 7

= 7x² - 2x + 4

So, the answer is 7x² - 2x + 4

The figure to the right shows the results of a survey in which 1007 adults from Country A, 1005 adults from
Country B, 1016 adults from Country C, 1016 adults from Country D, and 1000 adults from Country E were
asked whether national identity is strongly tied to birthplace.
National Identity and Birthplace
People from different countries who believe national
identity is strongly tied to birthplace
Country A
Country B
Country C
Country D
Country E
34%
22%
29%
50%
14%
Construct a 99% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed.

Answers

99% confidence interval is that the true population proportion of adults who say national identity is strongly tied to birthplace in Country A is between 30.7% and 37.3%.

What is confidence interval?

The confidence interval is a set of values that, with a given level of certainty, contains the real population parameter. The likelihood that the genuine population parameter falls inside the interval is represented by the degree of confidence. In this instance, we created 99% confidence intervals for the percentage of individuals in each demographic who claim that national identity is highly correlated with birthplace. This indicates that 99% of the intervals we build would include the genuine population percentage if the survey were to be repeated numerous times.

The confidence interval is given using the formula:

CI = p ± z*(√((p*(1-p))/n))

Using the given values for different intervals the 99% for different countries are:

For Country A we have:

p = 0.34

n = 1007

z = 2.58 (based on a 99% confidence level)

CI = 0.34 ± 2.58*(√((0.34*(1-0.34))/1007)) = 0.307 to 0.373

For Country B we have:

p = 0.22

n = 1005

z = 2.58

CI = 0.22 ± 2.58*(√((0.22*(1-0.22))/1005)) = 0.187 to 0.253

For Country C we have:

p = 0.29

n = 1016

z = 2.58

CI = 0.29 ± 2.58*(√((0.29*(1-0.29))/1016)) = 0.259 to 0.321

For Country D we have:

p = 0.5

n = 1016

z = 2.58

CI = 0.5 ± 2.58*(√((0.5*(1-0.5))/1016)) = 0.469 to 0.531

For Country E we have:

p = 0.14

n = 1000

z = 2.58

CI = 0.14 ± 2.58*(√((0.14*(1-0.14))/1000)) = 0.108 to 0.172.

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A block of mass 2kg is attached to the spring of spring constant 50Nm −1. The block is pulled to a distance of 5 cm from its equilibrium position at x=0 on a horizontal frictionless surface from rest at t = 0. The displacement of the block at any time t is thenA. x= 0.05sin5tmB. x= 0.05cos5tmC. x= 0.5sin5tmD. x= 5sin5tm

Answers

The displacement of the block at any time t is then x= 0.05cos5tm. (option b).

Now, when the block is released, it starts oscillating back and forth about its equilibrium position due to the force exerted by the spring. This motion is described by the equation of motion for a simple harmonic oscillator:

x = Acos(ωt + φ)

The angular frequency ω of the oscillation is given by:

ω = √(k/m)

where k is the spring constant and m is the mass of the block.

Substituting the given values of k and m, we get:

ω = √(50/2) = 5 rad/s

The phase angle φ depends on the initial conditions of the system, i.e., the initial displacement and velocity of the block. Since the block is initially at rest, its initial velocity is zero and the phase angle is zero as well.

Therefore, the equation of motion for the displacement of the block is:

x = 0.05cos(5t)

Hence, option B, x = 0.05cos(5t), is the correct answer.

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PLEASE HELP!!! 40 points.

Answers

Answer:

D. 7/5

Step-by-step explanation:

In right triangle ABC with right angle C,

sinA = 4/5 = cosB

cosA = 3/5 = sinB

sinB + cosB = 3/5 + 4/5 = 7/5

a water park sold 1679 tickets for total of 44,620 on a wa summer day..each adult tocket is $35 and each child ticket is $20. how many of each type of tixkwt were sold?

Answers

Therefore , the solution of the given problem of unitary method comes out to be  the attraction sold 943 child tickets and 736 adult tickets on that particular day.

What is an unitary method?

It is possible to accomplish the objective by using previously recognized variables, this common convenience, or all essential components from a prior malleable study that adhered to a specific methodology. If the expression assertion result occurs, it will be able to get in touch with the entity again; if it does not, both crucial systems will undoubtedly miss the statement.

Here,

Assume the attraction sold x tickets for adults and y tickets for kids.

Based on the supplied data, we can construct the following two equations:

=>  x + y = 1679 (equation 1, representing the total number of tickets sold)

=>  35x + 20y = 44620 (equation 2, representing the total revenue generated)

Using the elimination technique, we can find the values of x and y.

When we divide equation 1 by 20, we obtain:

=>  20x + 20y = 33580 (equation 3)

Equation 3 is obtained by subtracting equation 2 to yield:

=>  15x = 11040

=>  x = 736

When we enter x = 736 into equation 1, we obtain:

=>  736 + y = 1679

=> y = 943

As a result, the attraction sold 943 child tickets and 736 adult tickets on that particular day.

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What is the measure of angle R?

A) 17 degrees
B) 25 degrees
C) 34 degrees
D) 65 degrees

Answers

Answer: D) Angle R is 65 degrees

Step-by-step explanation:

In the given figure, we have a right-angled triangle PQR.

Using the property of angles in a triangle, we know that the sum of angles in a triangle is 180 degrees. Therefore,

∠QRP + ∠QPR + ∠PRQ = 180 degrees

Since ∠PRQ is a right angle (90 degrees), we have:

∠QRP + ∠QPR = 90 degrees

Now, we are given that ∠QPR is 25 degrees. Substituting this in the above equation, we get:

∠QRP + 25 = 90 degrees

Solving for ∠QRP, we get:

∠QRP = 90 - 25 = 65 degrees

Therefore, the measure of angle R is 65 degrees, which is option (D).

Answer:

Answer is D

Step-by-step explanation:

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