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Contact [7]
3 years ago
7

Rob measures his go-cart’s speed to be 250 inches per second. What is the go-cart’s speed in miles per hour (to the nearest tent

h) ?
A) 7.1 mph
B) 14.2 mph
C) 28.4 mph
D) 35.2 mph
Mathematics
2 answers:
babymother [125]3 years ago
6 0

Answer:

The cart’s speed in miles per hour is 14.2 miles per hour .

Option (B) is correct .

Step-by-step explanation:

As given

Rob measures his go-cart’s speed to be 250 inches per second.

As

1\ inch = \frac{1}{63360}\ miles

1\ second = \frac{1}{3600}\ hours

Now convert 250 inches per second into miles per hour .

250 inches\ per\ second = \frac{250\times \frac{1}{63360}}{\frac{1}{3600}}\ miles\ per\ hour

250 inches\ per\ second = \frac{\frac{250}{63360}}{\frac{1}{3600}}\ miles\ per\ hour

250 inches\ per\ second = \frac{250\times 3600}{63360}\ miles\ per\ hour

250 inches\ per\ second = \frac{900000}{63360}\ miles\ per\ hour

250 inches per second = 14.2(Approx) miles per hour.

Therefore the cart’s speed in miles per hour is 14.2 miles per hour .

Option (B) is correct .

adoni [48]3 years ago
4 0

Answer:

b.14.2 mph

Step-by-step explanation:


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Answer:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p represent the real population proportion of interest

\aht p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:  

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)

And replacing into equation (b) the values from part a we got:  

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

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Caroline's gross annual salary is $47,448 What is the max amount of rent she can afford to pay?
morpeh [17]

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As, 28/36 rule states that maximum of 28% of your monthly expenditure should be spent on housing finances.

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Answer: $1107.

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Help with this I don't know how to solve please please please!!
likoan [24]

Answer:

212.5

Step-by-step explanation:

Here's a theorem about triangle areas.

If two similar triangles have sides in the ratio x:y,

then their areas are in the ratio x2:y2

The triangles have sides in the ratio:

LP/LN = 10/25

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Sophia buys an apple that weighs 0.45 pound, a grapefruit that weighs pound, a navel orange that weighs pound, and a pear that w
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Answer:

The order of fruit from least to greatest weight is -

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Step-by-step explanation:

P.S - The exact question is -

Given - Sophia buys an apple that weighs 0.45 pound, a grapefruit that weighs \frac{3}{4} pound, a navel orange that weighs \frac{5}{8} pound, and a pear that weighs 0.5 pound.

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