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Alexxx [7]
2 years ago
11

Mike is making a cross-country trip, It is 2,240 miles to his destination. He will return home using the same route. His car get

s 28 miles per gallon.
How many gallons of gasoline will Mike need to purchase for his round trip? (He is going 4,480 miles.)

A)
110 gallons;


B)
124 gallons


C)
150 gallons


D)
160 gallons
Mathematics
2 answers:
Anna71 [15]2 years ago
7 0

Answer:

d) 160

Step-by-step explanation:

antoniya [11.8K]2 years ago
5 0
D) 160 gallons because you get the total miles and divide it by mpg
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It will be 90.000 the 9 in 290.846

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A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two
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Felix spends $150 each month for his gym membership plus $30 each week for a personal trainer. A new gym charges $255 a month, w
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2 years ago
A marketing manager samples 150 people and finds that 87 of them have made a purchase on the internet within the past month. a.
expeople1 [14]

Answer:

a) \hat p = \frac{87}{150}= 0.58

b) We assume for this case a confidence level of 95%

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{0.58(1-0.58)}{(\frac{0.03}{1.96})^2}=1039.793  

And rounded up we have that n=1040

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".  

The population proportion have the following distribution

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

Solution to the problem

Part a

For this case the estimated proportion of people who have made a purchase on the internet within the past month is given by:

\hat p = \frac{87}{150}= 0.58

Part b

We assume for this case a confidence level of 95%

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:

t_{\alpha/2}=-1.96, t_{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 0.03 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{0.58(1-0.58)}{(\frac{0.03}{1.96})^2}=1039.793  

And rounded up we have that n=1040

4 0
2 years ago
A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an order of
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Answer:

It would be A, or the first graph

Step-by-step explanation:

So we’ve now created an equation

2x + 3y ≤ 6

From here, we can convert this into something easier to read

y ≤ -2/3x + 2

Now, we know that the y-intercept is 2 so either A or B

We also know the shaded area should be below the line (because the smallest part of the “≤” is facing the y).

Therefore, the answer is A

5 0
2 years ago
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