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Talja [164]
3 years ago
15

In rectangle JKLM, JK is equal to 10 feet and MN is equal to 25 feet, find JL.

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

we know that

if JKLM is a rectangle

then

diagonals

MK=JL

so

MK=2*MN------> MK=2*25 ft------> MK=50 ft

JL=MK----> JL=50 ft


therefore


the answer is

JL is 50 ft

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14. Is 25 percent
15. 20 percent
16.
5 0
3 years ago
An automobile manufacturer has given its car a 52.6 miles/gallon (MPG) rating. An independent testing firm has been contracted t
Arte-miy333 [17]

Answer:

Null hypothesis:\mu = 52.6  

Alternative hypothesis:\mu \neq 52.6  

z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976    

p_v =2*P(z>1.976)=0.0482  

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

Step-by-step explanation:

Information provided

\bar X=52.8 represent the sample mean  for the MPG of the cars

\sigma=1.6 represent the population standard deviation

n=250 sample size  of cars

\mu_o =52.6 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test

Hypothesis

We need to conduct a hypothesis in order to check if the true mean of MPG is different from 52.6 MPG, the system of hypothesis would be:  

Null hypothesis:\mu = 52.6  

Alternative hypothesis:\mu \neq 52.6  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Calculate the statistic

Replacing we have this:

z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976    

Decision

Since is a two tailed test the p value would be:  

p_v =2*P(z>1.976)=0.0482  

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

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3 years ago
PLEASE HELP ASAP
aleksklad [387]

Answer:

5 units because 5 times 5 is 25

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=what%20%5C%3A%20is%20%5C%3A%20the%20%5C%3A%20formula%20%5C%3A%20of%20%5C%3A%20volume%20%5C%3A%
rusak2 [61]

Answer:

volume of cylinder= πr²h

8 0
3 years ago
Read 2 more answers
Sean tried to drink as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy
loris [4]

a. Sean drank at a rate of 5 milliliters per second.

b. It took Sean 55 s to drink all the slushy.

<h3>a. How to find the rate at which Sean drank?</h3>

Since Sean darnak at a constant rate and originally there were 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters of slushy remained.

The rate at which Sean drank, r = Change in volume of slushy/time for change

= (275 mL - 210 mL)/13 s

= 65 mL/13 s

= 5 mL/s

So, Sean drank at a rate of 5 milliliters per second.

<h3>b. How long did it take Sean to drink all the slushy?</h3>

The time it takes Sean to drink all the slushy is given by

T = V/r where

  • V = total volume of slushy = 275 milliliters and
  • r = rate of drinking by Sean = 5 mL/s

So, T = V/r

= 275 mL/5 mL/s

= 55 s

So, it took Sean 55 s to drink all the slushy.

Learn more about rate here:

brainly.com/question/8728504

#SPJ1

7 0
2 years ago
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