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dsp73
3 years ago
13

An auto maker estimates that the mean gas mileage of its sports utility vehicle is at least 20 miles per gallon. A random sample

of 36 such vehicles had a mean of 18 miles per gallon and a standard deviation of 5 miles per gallon. At α = .01 can you reject the auto maker's claim?
Mathematics
1 answer:
Nady [450]3 years ago
7 0

Answer:

Yes, we reject the auto maker's claim.

Step-by-step explanation:

H0 : μ ≥ 20

H1 : μ < 20

Sample mean, xbar = 18 ;

Sample size, n = 36

Standard deviation, s = 5

At α = 0.01

The test statistic :

(xbar - μ) ÷ s /sqrt(n)

(18 - 20) ÷ 5/sqrt(36)

-2 /0.8333333

= - 2.4

Pvalue from test statistic : Pvalue = 0.00819

Pvalue < α

0.00819 < 0.01

Hence, we reject the Null

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(40 points to the right answer) Matilda is selling hand-painted vases at a craft fair. She will have to pay $200 to rent a booth
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
The equation y = 43x represents the number of miles Alicia drives over time, where y is the number of miles and x is time in hou
spin [16.1K]
Alicia : y = 43 x
For x = 1 ( 1 hour ):
y = 43 miles,  v = 43 mph
Trish:  69 = v * 1.5
v = 69 : 1.5
v = 46 mph
Alicia: 43 mph
Trish: 46 mph
The woman who drives at a slower rate is :  A  ( Alicia )
8 0
3 years ago
Mr. Suarez drives at a speed of 60 miles per hour to visit his brother who lives 200 miles away from his home. Write an equation
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7 0
3 years ago
What is 87+x=100?<br> A. 13<br> B.41<br> C. 11<br> D. 20
Leto [7]

Hey there!

When we solve for x, we need to isolate x on one side.

This is just a one-step equation, meaning there is only one thing we need to do to solve for x, or isolate x.

Starting with 87 + x = 100:

Subtract 87 from each side.

87 <u>- 87</u> + x = 100 <u>- 87</u>

Simplify. Subtracting 87 from 87 makes it equal to 0.

x = 13

Your answer is A. 13.

Hope this helps!

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8 0
3 years ago
Read 2 more answers
PLEASE HELP!!! PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGH
Nadusha1986 [10]

Answer:

CD = 7.8

Step-by-step explanation:

Given:

Δ DBC is a right angled triangle.

\angle B = 90\°\\\\\angle C = 59\°

BC = 4

We need to find the value of CD

Solution:

Now we know that:

cos\  \theta = \frac{adjacent \ side}{hypotenuse}

So we can say that;

Cos \angle C =\frac{BC}{CD}

Substituting the given values we get;

Cos\ 59 = \frac{4}{CD}\\\\\\CD = \frac{4}{Cos\ 59} = 7.766

Rounding to nearest tenth we get;

CD = 7.8

Hence the Value of CD is 7.8.

8 0
3 years ago
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