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zvonat [6]
4 years ago
5

If we have a normally distributed sample of ages ranging from 1 to 99 years, and we draw a score at random from this distributio

n, which of the following scores would we be most likely to draw?
A - 9
B - 22
C - 47
D - 86
Mathematics
1 answer:
svp [43]4 years ago
3 0

Answer:

C - 47

Step-by-step explanation:

In a normal distribution, the values are clustered around the center of curve. The center of the curve is the mean value of the distribution. As we go side ways the number of values decrease with respect to the mean.

A normal distribution is symmetric, the left and right hand side about the mean looks identical.

It is given in the problem that sample of ages follow normal distribution and the range is 1 to 99 years. The mean would most likely to be somewhere close to 50. Now lets assume that the mean of the distribution is indeed 50. Then it means that the number of people having age 50 would be greater than other ages. The number of people having ages 1 or 99 would be least. The closest number to 50 is 47 therefore, 47 is most likely to be drawn if we randomly draw one sample.  

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lesya692 [45]

Answer:

45

Step-by-step explanation:

using similar triangles

Let x be the boy's height

\frac{x}{27}=\frac{72}{43.2}

cross multiply to get 43.2x=1944

then divide by 43.2 both sides

to get x=45

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3 years ago
(-6,8),(10,-56)<br><br> find the slope and y-intercept and put it into slope-intercept form.
xxTIMURxx [149]

y=-4x-16

Step-by-step explanation:

3 0
3 years ago
How would l solve this question???!!
Daniel [21]

Answer:

a = 6

Step-by-Step Explanation:

9 + 8a = 57

8a = 57 - 9 (subtract 9 from both sides)

8a = 48 (then divide 8 from both sides to get "a" alone)

a = 48/8

a = 6

7 0
3 years ago
Someone help ASAP! Weill give brainliest. (Not a quiz or test or anything)
denpristay [2]

Answer:

17.8

Step-by-step explanation:

First:

put the equation together

(2x+3) * (x+2)=91

Secondly:

condense

parenthisis can be dropped and normal problem solving can be used.

5x+2=91

subtract 2 from either side of the =

this will give you 5x=89

next divide 5 from each side because it is multiplying the x

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8 0
3 years ago
Sample annual salaries​ (in thousands of​ dollars) for employees at a company are listed. ​(a) Find the sample mean and sample s
Helen [10]

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

The value is attached in the image file please find it.

In point a:

First, we calculate the find the mean,

Formula:

\to Mean (\bar{x}) = \frac{( \sum x)}{n}

                   =\frac{540}{13}\\\\ = 41.54

To calculate the standard deviation, subtract the mean value from all observations then square its value:

SD = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} \\   = \sqrt{ \frac{339.2308}{13-1}}

                             = \sqrt{ \frac{339.2308}{12}}\\\\= \sqrt{28.269}\\\\=5.31

please find attached file

In point b:

New x_i = 1 x_i + 0.05 x_i = 1.05 x_i

Calculate new mean:

\to \bar{x} = \frac{\sum x}{n} \\

       =\frac{567}{13} \\\\= 43.62

calculating the standard deviation:

SD = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} \\   = \sqrt{ \frac{374.0022}{13-1}}

                             = \sqrt{ \frac{374.0022}{12}}\\\\= \sqrt{31.16}\\\\=5.58

please find attached file

In point C:

Calculate new mean:

\to \bar{x} = \frac{\sum x}{n} \\

       =\frac{47.25}{13} \\\\= 3.46

calculating the standard deviation:

SD = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} \\   = \sqrt{ \frac{2.5975}{13-1}}

                             = \sqrt{ \frac{2.5975}{12}}\\\\= \sqrt{0.216}\\\\=0.46

please find attached file

In point d:

for b,

New \bar{x}= 1.05 \bar{x}= 1.05(41.54) =43.62

News= 1.05s= 1.05(5.31)=5.57

for c,

New\bar{x}= \frac{ \bar{x}}{12}= \frac{41.54}{12} = 3.46

New s = \frac{s}{ 12} = \frac{5.31}{12}= 0.44

4 0
4 years ago
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