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gtnhenbr [62]
2 years ago
7

Solve using the pathagorean theorem​

Mathematics
1 answer:
REY [17]2 years ago
4 0

Answer:

b=45^1/2

Step-by-step explanation:

a^2+b^2=c^2\\6^2+b^2=9^2\\b^2=81-36\\b^2=45\\b=\sqrt{45}

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Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel align
sasho [114]

Answer:

Step-by-step explanation:

Hello!

The given data corresponds to the variables

Y:  Annual Maintenance  Expense ($100s)

X: Weekly Usage  (hours)

n= 10

∑X= 253; ∑X²= 7347; \frac{}{X}= ∑X/n= 253/10= 25.3 Hours

∑Y= 346.50; ∑Y²= 13010.75; \frac{}{Y}= ∑Y/n= 346.50/10= 34.65 $100s

∑XY= 9668.5

a)

To estimate the slope and y-intercept you have to apply the following formulas:

b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{9668.5-\frac{253*346.5}{10} }{7347-\frac{(253)^2}{10} }= 0.95

a= \frac{}{Y} -b\frac{}{X} = 34.65-0.95*25.3= 10.53

^Y= a + bX

^Y= 10.53 + 0.95X

b)

H₀: β = 0

H₁: β ≠ 0

α:0.05

F= \frac{MS_{Reg}}{MS_{Error}} ~~F_{Df_{Reg}; Df_{Error}}

F= 47.62

p-value: 0.0001

To decide using the p-value you have to compare it against the level of significance:

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

If p-value > α, do not reject the null hypothesis.

The decision is to reject the null hypothesis.

At a 5% significance level you can conclude that the average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

b= 0.95 $100s/hours is the variation of the estimated average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

a= 10.53 $ 100s is the value of the average annual maintenance expense of the computer wheel alignment and balancing machine when the weekly usage is zero.

c)

The value that determines the % of the variability of the dependent variable that is explained by the response variable is the coefficient of determination. You can calculate it manually using the formula:

R^2 = \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]} = \frac{0.95^2[7347-\frac{(253)^2}{10} ]}{[13010.75-\frac{(346.50)^2}{10} ]} = 0.86

This means that 86% of the variability of the annual maintenance expense of the computer wheel alignment and balancing machine is explained by the weekly usage under the estimated model ^Y= 10.53 + 0.95X

d)

Without usage, you'd expect the annual maintenance expense to be $1053

If used 100 hours weekly the expected maintenance expense will be 10.53+0.95*100= 105.53 $100s⇒ $10553

If used 1000 hours weekly the expected maintenance expense will be $96053

It is recommendable to purchase the contract only if the weekly usage of the computer is greater than 100 hours weekly.

4 0
3 years ago
When converted to a household measurement, 9 kilograms is approximately equal to a
kondaur [170]

Answer:

9 kilograms is = 9000 grams

9 kilograms=317.466 ounces

Step-by-step explanation:

4 0
2 years ago
Number 11 and 12. Solve for x and y. Please and thank you.
vlada-n [284]

Answer:

11. x=18, y=5

12. x=17, y=9

Step-by-step explanation:

Use the angle property https://www.proprofs.com/quiz-school/story.php?title=angle-properties-parallel-lines (REFER TO THIS LINK)

4 0
2 years ago
PLEASE HELP TIMED TEST HELP!!!!!!!!
Lelu [443]

Answer:

Step-by-step explanation:

The equations that she wrote are

6x+8y=133

2x=y

The following statements about the system are true

1.Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133

5. The second equation is correct because there are more 6 inch pies and 2 times a number is always more.

The following statements are wrong because,

2. Because there was no relationship between the number of pipes sold and the size of each pipe.

3. x=2y shows that there are more 8 inches pipes

4. 6 and 8 are just size descriptions. It is only the cost of each size of pipe that related to the total cost

6 0
3 years ago
What is the measure for the following ∠?<br> m∠BOA<br><br> 20<br> 40<br> 60
ad-work [718]

The answer to your question is 40

7 0
3 years ago
Read 2 more answers
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