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Anuta_ua [19.1K]
3 years ago
12

The Marine Corp is ordering hats for all the new recruits for the entire next year. Since they do not know the exact hat sizes t

hey will use statistics to calculate the necessary numbers, assume the numbers are normally distributed. This is the data from a sample of the previous recruits: 7.2, 6.8, 6, 6.9, 7.8, 6.2, 6.4, 7.2, 7.4, 6.8, 6.7, 6, 6.4, 7, 7, 7.6, 7.6, 6, 6.8, 6.4
a. Display the data in a line plot and stem-and-leaf plot. (These plots don’t need to be pretty; just make sure I can make sense of your plots.) Describe what the plots tell you about the data.
b. Find the mean, median, mode, and range.
c. Is it appropriate to use a normal distribution to model this data?
d. Suppose that the Marine Corp does know that the heights of new recruits are approximately normally distributed with a mean of 70.5 inches and a standard deviation of 1.5 inches. Use the mean and standard deviation to fit the new recruit heights to a normal distribution and estimate the following percentages. d1. What percent of new recruits would be taller than 72 inches?
d2. What percent of new recruits would be shorter than 67.5 inches?
d3. What percent of new recruits would be between 69 and 72 inches?
d4. Between what two heights would capture 95% of new recruits??
Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0
B I think sorry if I'm wrong
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Solve and state any extraneous solutions
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\frac{3x}{x - 1}  + 2 =  \frac{3}{x - 1}

\frac{3x}{x - 1} +  \frac{2(x - 1) }{ x - 1}   =  \frac{3}{x - 1}

\frac{3x}{x - 1}  +  \frac{2x - 2}{ x - 1}  =  \frac{3}{x - 1}

\frac{3x + 2x - 2}{ x - 1}  =  \frac{3}{x - 1}

3x + 2x - 2 = 3

5x - 2 = 3

5x = 3 + 2

5x = 5

x =  \frac{5}{5}

x = 1

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3 years ago
Can someone help with this and explain answer please.
photoshop1234 [79]

Because the triangles are similar the ratio of all the sides would be the same. So you need to find the ratio of the common sides and then use that ratio to find the unkown side.

In this picture sides FG = 52, FV would be the same side and is 24.

Dividing 24/52 = 0.461, so the unkown side WV would be 0.444 of it's common side HG.

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3 years ago
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Find the diameter when the circumference is 47.1 in
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There are 50 cupcakes and 160 cookies to be sold at the school bake sale. What is the greatest number of packages of baked items
Sav [38]

The greatest number of packages of baked items that can be sold is 10

<em><u>Solution:</u></em>

Given that there are 50 cupcakes and 160 cookies to be sold at the school bake sale

To find: greatest number of packages of baked items that can be sold

Each package has the same number of cupcakes and same number of cookies with none left over

So, we have to find the greatest common factor of 50 and 160

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 50 and 160:</u></em>

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Then the greatest common factor is 10

So the greatest number of packages sold is 10

<em><u>Each package will contain:</u></em>

Given that there 50 cupcakes and 160 cookies

<em><u>Number of cupcakes in 1 package:</u></em>

\rightarrow \frac{50}{10} = 5

<u><em>Number of cookies in 1 package:</em></u>

\rightarrow \frac{160}{10} = 16

So each package has the same number of cupcakes and same number of cookies with none left over

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