What's 0.7 multiplied by 9 Estimate Tell me estimation and answer in comments

Mathematics

2 answers:

kirill [66]3 years ago

8 0

Estimate:6
Answer:6.3

olga55 [171]3 years ago

8 0

Answer 6.3 estimate 6

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An automobile manufacturer claims that its van has a 40.3 miles/gallon (MPG) rating. An independent testing firm has been contra

vovikov84 [41]

Answer:

The value of the test statistic is -2.64.

Step-by-step explanation:

The test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the expected(claimed) mean, $\sigma$ is the standard deviation and n is the size of the sample.

An automobile manufacturer claims that its van has a 40.3 miles/gallon (MPG) rating.

This means that $\mu = 40.3$

After testing 250 vans, they found a mean MPG of 39.9. Assume the standard deviation is known to be 2.4.

This means, respectively, that:

$n = 250, X = 39.9, \sigma = 2.4$

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{39.9 - 40.3}{\frac{2.4}{\sqrt{250}}}$

$t = -2.64$

The value of the test statistic is -2.64.

7 0

3 years ago

HELP The minute hand of a clock is 5 inches long. to the the nearest tenth of an inch, how far does the tip of the minute hand t

faltersainse [42]

Answer:

18.326 inches

Step-by-step explanation:

The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing $\frac{210}{1} *\frac{\pi }{180}$ , and we ge that θ is $\frac{7\pi }{6}$ so ( $\frac{7\pi }{6}$ )(5)= 18.326 inches