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LUCKY_DIMON [66]
3 years ago
14

Noelle can run 3 miles in the time it takes for Staycie to run 2 miles and Liam to run 1 mile. Noelle, Staycie, and Liam take pa

rt in a long distance relay where each person runs 1 mile. They finish the race in 33 minutes. How long does Staycie take to run ONE mile?
Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0

I didn't get to finishing the problem (I just got distracted from my exams lol) but here are the equations for each of the people, if it helps.

S=-6L-2n+198

L=-.25n+33

N=-3.2727L+118.8

Sorry I couldn't be of more help!

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Write an expression that is equivalent to 2 over 3 (4x + 9)
dybincka [34]

\frac{2}{12x+29}

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3 years ago
Joe's canoe charges an initial fee of $20 plus $4 an hour. Callie's canoe charges a flat rate of $14 an hour find the number of
irinina [24]
Initial fee charged by Joe's canoe = $20
Hourly charge of Joe's canoe = $4
Hourly charge of Callie's canoe = $14
No initial fee is taken by Callie's canoe.
Let us assume the number of hours after which both places charges will be the same = x hours
Then
20 + 4x = 14x
20 = 14x - 4x
20 = 10x
x = 20/10
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So after 2 hours the charges taken by both of them will be the same. I hope the procedure is easy and clear enough for you to understand.
3 0
3 years ago
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The table includes the size of roofs (x) and the cost to replace them (y). The summary points are (748, 7,048), (890, 8,385), an
Alexus [3.1K]

Answer:

5.6 and 3,043.2

Step-by-step explanation:

6 0
3 years ago
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 270 engines
marin [14]

Answer:

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the valve pressure is significantly different from 5.5 psi.

P-value = 0.04

Test statistic z=2.05

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the valve pressure is significantly different from 5.5 psi.

Then, the null and alternative hypothesis are:

H_0: \mu=5.5\\\\H_a:\mu\neq 5.5

The significance level is 0.02.

The sample has a size n=270.

The sample mean is M=5.6.

The standard deviation of the population is known and has a value of σ=0.8.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{0.8}{\sqrt{270}}=0.049

Then, we can calculate the z-statistic as:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{5.6-5.5}{0.049}=\dfrac{0.1}{0.049}=2.054

This test is a two-tailed test, so the P-value for this test is calculated as:

\text{P-value}=2\cdot P(z>2.054)=0.04

As the P-value (0.04) is bigger than the significance level (0.02), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the valve pressure is significantly different from 5.5 psi.

7 0
3 years ago
What percentage of the calories in the product come from protein? How did you arrive at your answer?
-Dominant- [34]
20percent


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2 years ago
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