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anzhelika [568]
3 years ago
7

The admission fee at fair is $1.50 for children and $4 for adults. On a certain day 2200 people enter the fair and $5050 is coll

ected. Write the system of equations for this scenario if a is the number of adults and c is the number of children
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0

1.50c +4A =2200$ would be the correct awnser

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A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a
max2010maxim [7]

Answer:

Option C - Reject H0. We have convincing evidence that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722.

Step-by-step explanation:

First of all let's define the hypothesis;

Null hypothesis;H0; μ = $48,722

Alternative hypothesis;Ha; μ > $48,722

Now, let's find the test statistic for the z-score. Formula is;

z = (x' - μ)/(σ/√n)

We are given;

x' = 48,722

μ = 49,870

σ = 3900

n = 50

Thus;

z = (49870- 48722)/(3900/√50)

z = 2.08

So from online p-value calculator as attached, using z = 2.08 and α = 0.05 ,we have p = 0.037526

This p-value of 0.037526 is less than the significance value of 0.05,thus, we reject the claim that that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722

8 0
4 years ago
What is the equation of the following graph?
boyakko [2]

Answer:

\frac{(x-1)^2}{5^2} -\frac{(y-2)^2}{2^2} =1

Step-by-step explanation:

Here you are require to find the equation of the hyperbola given that the center (h,k), the coordinates of the vertices and those of the co-vertices can be determined from the diagram given

The sharp turning points of the curves give the vertices at (-4,2) and (6,2)

Joining the vertices with a straight line will form the transverse axis with length 2a .

To find the length of the transverse axis 2a will be ; 6--4=10. 2a=10 hence a=10/2 =5

a=5

Find the center of the hyperbola at (h,k) by  finding the intersecting point of the diagonals of the rectangle in the diagram

The center identified will be (h,k) = (1,2)

To find the length of the conjugate axis 2b will be ; the length between points (1,4) and (1,0) which are the coordinates of the co-vertices in the hyperbola. 2b= 4-0=4 , b=4/2 = 2

b=2

The standard equation of the hyperbola with center (h,k) is written as ;

\frac{(x-h)^2}{a^2} -\frac{(y-k)^2}{b^2} =1

where  (h,k) is center of hyperbola, (h±a,k) is coordinate of the vertices and (h,k±b) are coordinates of co-vertices.

Substitute values of a, b, h, and k in equation as

\frac{(x-1)^2}{5^2} -\frac{(y-2)^2}{2^2} =1

7 0
3 years ago
How many additional kilowatt hours of<br> electricity are produced?
hodyreva [135]
28000 because the engry is hot and the Air condition in the house make it cool so it need more energy then it go to 70000000
7 0
3 years ago
I NEED THIS ASAP WHOEVER GIVES ME THE CORRECT ANSWER GETS BRAINLEST!!! The diagram below represents which percent?
monitta

Answer:

80%

Step-by-step explanation:

1 = 20%

4 = 80%

hopefully this helps you :)

pls mark brainlest ;)

5 0
4 years ago
Read 2 more answers
How many soultions does the equation 2(p+5) = 4 - 10p have? Explain how you found your answer.
ra1l [238]

Answer:

1, p = -0.5

Step-by-step explanation:

2(p+5) = 4 - 10p

2p+10 = 4 - 10p

2p + 10p = 4 - 10

12p = -6

p = -6/12

p = -0.5

2(-0.5+5) = 4 - 10(-0.5)

-1 + 10 = 4 + 5

9 = 9

3 0
3 years ago
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