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hram777 [196]
3 years ago
11

Audra counted change collected for a class fundraiser. Audra wrote the equation 0.10x+0.25y=5.30 to represent the situation. Wha

t did she define as the variable x?
Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

Dimes collected

Step-by-step explanation:

I took the test on edge

zalisa [80]3 years ago
3 0
X is dimes as in ten cents




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Solve for x. Write your answer as “x=__”
BabaBlast [244]

Answer:

9x+3x=12x

180/12=15

9 x 15= 135

3 x 15= 45

135+45=180

x=15

Step-by-step explanation:

3 0
2 years ago
Ethan earns $41.25 in five hours. Oliver earns $30.00 in four hours. Fabianna's hourly rate is less than Ethan's, but more than
Lana71 [14]

Answer:

7.75

Step-by-step explanation:

41.25 divided by 5 is 8.25

30 divided by 4 is 7.5

7.75 > 7.5 but 7.75 < 8.25

I hope this helps!

6 0
2 years ago
Solve –vp + 40 &lt; 95 for v. Show your work.
vfiekz [6]
The answer is v>-55/p
When dividing or multiplying an inequality by a negative, the sign changes. If it was > it becomes <. If it was >= it becomes <=. Hope I was able to help

4 0
3 years ago
William is planning on driving his car to the family reunion. The diotance to
aliina [53]

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The answer would be D. 29.9 :)

8 0
2 years ago
Read 2 more answers
Alumni donations are an important source of revenue for universities. One fundraiser is trying create a model to predict alumni
amid [387]

Answer:

Step-by-step explanation:

Hello!

Given the variables

Y: Alumni donations

X₁: Graduation rate

X₂: percentage of classes with less than 20 students

X₃: student/faculty ratio

The multiple regression model is:

Y= β₀ + β₁X₁ + β₂X₂ + β₃X₃ + ε

1)

<u>The correct option is</u>

e. none of the above.

The measurement used to determine the validity of the test is the coefficient of determination R².

2)

The general interpretation of a regression coefficient βi is:

"quantifies the modification of the mean of Y when the response variable Xi increases one unit while all the other response variables remain constant"

^β₁= b₁= 0.748% represents the "graduation rate coefficient"

It is the modification of the average alumni donations when the graduation rate increases one unit while the  percentage of classes with less than 20 students and the student/faculty ratio remain constant.

<u>Correct option:</u> d. For each point increase in graduation percentage, alumni giving rate increases by .75%

3)

The intercept (b₀) is the value of the average of Y when all response variables are zero.

b₀= -20.72%

Using a general interpretation: -20.72% is the average alumni donation when the graduation rate, percentage of classes with less than 20 students and student/faculty ratio are zero.

<em>Of course this interpretation is theoretical, meaning, it does not have any practical application.</em>

<u>The correct option is:</u>

e. none of the above.

4)

To determine how does and increase of the student/faculty ratio you have to take a look at the estimation of the regression coefficient that corresponds to that variable:

b₃= -1.1920

This ratio means that every time the student/faculty ratio increases one unit, the giving rate decreases 1.192%

<u>Correct option:</u>

c. Alumni giving rate drops since the sign of the coefficient is negative

5)

I'll use the given p-values to check the significance of each individual hypothesis test. The decision rule for all of them is as follows:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, don't reject the null hypothesis.

I)

H₀: β₁ = 0

H₁: β₁ ≠ 0

α: 0.05

p-value: 4.8E-5 ⇒ Reject the null hypothesis.

II)

H₀: β₂ = 0

H₁: β₂ ≠ 0

α: 0.05

p-value: 0.835844 ⇒ Do not reject the null hypothesis.

III)

H₀: β₃ = 0

H₁: β₃ ≠ 0

α: 0.05

p-value: 0.003538 ⇒ Reject the null hypothesis.

<u>Correct option:</u>

d. Graduation rate & student/faculty ratio

6)

R²= 0.6999⇒ 69.99%

<u>Correct interpretation:</u>

c. approximately 70% of the change in alumni giving rate is explained by the change in the independent variables

7)

^Y= -20.72 + 0.748X₁ + 0.029X₂ - 1.192X₃

For X₁= 85, X₂= 52 and X₃= 12

^Y= -20.72 + 0.748*85 + 0.029*52 - 1.192*12= 30.064

<u>Correct option </u>

a. 30.08

I hope it helps!

5 0
3 years ago
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