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defon
3 years ago
7

The gas mileage for a particular model car is known to have a standard deviation of σ = 1.0 mile per gallon in repeated tests in

a controlled laboratory environment at a fixed speed. For a fixed speed, gas mileages in repeated tests are Normally distributed. Tests on three cars of this model at 65 miles per hour give gas mileages of 24.3, 24.9, and 24.8 miles per gallon. What is the z statistic for testing H0: μ = 25miles per gallon based on these three measurements? (Round your answer to three decimal places.)
z= _________
Mathematics
1 answer:
Alik [6]3 years ago
7 0

Answer:

z = -0.577

Step-by-step explanation:

sample mean = ( 24.3 + 24.9 + 24.8 ) / 3 = 24.667

n = 3

σ = 1.0

Test statistic:

z = ( 24.667 - 25 ) / ( 1/SQRT(3) )

z = -0.577

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Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left fo
zmey [24]

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

6 0
3 years ago
Does Emiliano need more than 1 stick of butter or less than 1 stick of butter for the corn bread and the apple muffins?
Nookie1986 [14]

Answer:

Emilio needs less than 1 stick of butter

Step-by-step explanation:

Emilio needs 1/2 stick of butter to make cornbread . He also needs 1/4 stick of butter to make apple muffins . Does Emilio need more than I stick of butter to make both recepes or less than 1 stick of butter ? How do you know?

Cornbread = 1/2 stick of butter

Apple muffins = 1/4 stick of butter

Total sticks of butter = cornbread + apple muffins

= 1/2 + 1/4

= (2+1) / 4

= 3/4 stick of butter

= 0.75 stick of butter

0.75 stick of butter is less than 1 stick of butter

Therefore,

Emilio needs less than 1 stick of butter

4 0
3 years ago
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Scorpion4ik [409]
<h2>Answer: -50.4</h2>

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Step-by-step explanation:

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