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Galina-37 [17]
3 years ago
8

An automobile manufacturer has given its van a 39.0 miles/gallon (MPG) rating. An independent testing firm has been contracted t

o test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 120 vans, they found a mean MPG of 38.8. Assume the population standard deviation is known to be 2.2. Is there sufficient evidence at the 0.02 level to support the testing firm's claim? Make the decision to reject or fail to reject the null hypothesis.
a. Reject Null Hypothesis
b. Fail to Reject Null Hypothesis
Mathematics
1 answer:
swat323 years ago
6 0

I know that the value of the test statistic is z= -1.00 given the information I just read from your upload.

I want to say B. Fail to Reject Null Hypothesis

But I'm not a 100% sure it's actually B

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If 180°<α<270°, cos ⁡α= −8/17, 270°<β<360°, and sin β= −4/5, what is sin⁡(α+β)?
mars1129 [50]

Answer:

\sin(\alpha+\beta) = -0.153

Step-by-step explanation:

Let determine the angles behind each trigonometric expression:

\cos \alpha = -\frac{8}{17}

\alpha = \cos^{-1}\left(-\frac{8}{17} \right)

Given that 180^{\circ}< \alpha < 270^{\circ}, the value of \alpha is:

\alpha \approx 241.928^{\circ}

\sin \beta = -\frac{4}{5}

\beta = \sin^{-1}\left(-\frac{4}{5} \right)

Given that 270^{\circ}< \beta, the value of \beta is:

\beta \approx 306.870^{\circ}

The sine function of the sum of angles can be determined by the following identity:

\sin(\alpha + \beta)=\sin \alpha \cdot \cos \beta + \sin \beta \cdot \cos \alpha

If \alpha \approx 241.928^{\circ} and \beta \approx 306.870^{\circ}, then:

\sin (241.928^{\circ}+306.870^{\circ}) = (\sin 241.928^{\circ}) \cdot (\cos 306.870^{\circ}) + (\sin 306.870^{\circ})\cdot (\cos 241.928^{\circ})\sin(241.928^{\circ}+306.870^{\circ}) = -0.153

7 0
4 years ago
If you have two pennies, the probability of both coming up heads when flipped is _____.
aleksandr82 [10.1K]

one penny has a 50% chance for heads or tails so if you add one more penny it drops the chances for two heads by 50% again so in the ende you only have 1/4 the chancre of two heads up. hope it helps! :)

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3 years ago
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I need help with this ASAP
EastWind [94]

Given:

Radius of the circle = 6 inches

Central angle = 75 degrees.

To find:

The length of subtended arc, i.e., x.

Solution:

The formula for arc length is:

s=2\pi r\times \dfrac{\theta}{360^\circ}

Where, r is the radius and \theta is the central angle.

Putting s=x, r=6, \pi=3.14, \theta =75^\circ in the above formula, we get

x=2(3.14)(6)\times \dfrac{75^\circ}{360^\circ}

x=2(3.14)(6)\times \dfrac{5}{24}

x=7.85

x\approx 7.9

Therefore, the value of x is 7.9 inches.

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3 years ago
Properties of exponents. the answer is 1/2^12 i need help with the work
Vikentia [17]

Step-by-step explanation:

Answer in attached image...

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Which system of equation has a solution of approximately (-0.4, 1.1)
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The simplest system is:

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