All categories

2 years ago

The graph shows a distribution of data with a standard deviation of 6.

Mathematics

2 answers:

MrRissso [65]2 years ago

4 0

The mean of the standard normal graph shown is the middle point about which the graph is symmetric.

Hence, mean is 75.

Also, given that standard deviation is 6.

What is 1 standard deviation from the "mean" mean?

75+6=81 and 75-6=69

So a value within 69 and 81 would be called within 1 standard deviation of the mean.

So, calculating 2 standard deviation from the mean as:

75+6+6=87 and 75-6-6=63

So a value within 63 and 87 would be called within 2 standard deviation of the mean.

84 falls in this category, so we can say answer choice B is correct.

ANSWER: B

Agata [3.3K]2 years ago

3 0

B. It is within 2 standard deviations of the mean.

You might be interested in

Solve this x²+8/10 -x = 10/2

AysviL [449]

$x^2+\frac{8}{10}-x=\frac{10}{2}\\
x^2-x+\frac{8}{10}-\frac{10}{2}=0\\
x^2-x+\frac{8}{10}-\frac{50}{10}=0\\
x^2-x-\frac{42}{10}=0\\
x^2-x+\frac{1}{4}-\frac{1}{4}-\frac{42}{10}=0\\
(x-\frac{1}{2})^2=\frac{1}{4}+\frac{42}{10}\\
(x-\frac{1}{2})^2=\frac{5}{20}+\frac{84}{20}\\
(x-\frac{1}{2})^2=\frac{89}{20}\\
x-\frac{1}{2}=\sqrt{\frac{89}{20}} \vee x-\frac{1}{2}=-\sqrt{\frac{89}{20}}\\
x=\frac{1}{2}+\frac{\sqrt{89}}{\sqrt{20}} \vee x=\frac{1}{2}-\frac{\sqrt{89}}{\sqrt{20}}\\


$
$x=\frac{1}{2}+\frac{\sqrt{89}}{2\sqrt{5}} \vee x=\frac{1}{2}-\frac{\sqrt{89}}{2\sqrt5}}\\
x=\frac{1}{2}+\frac{\sqrt{445}}{10} \vee x=\frac{1}{2}-\frac{\sqrt{445}}{10}}\\
x=\frac{5+\sqrt{445}}{10} \vee x=\frac{5-\sqrt{445}}{10}}\\$

7 0

3 years ago

A) Find the lowest common multiple (LCM) of 36 and 48

dezoksy [38]

144 is the lowest hoped this helped

8 0

2 years ago

Read 2 more answers

Divide line segments

ser-zykov [4K]

tis noteworthy that the segment contains endpoints of A and C and the point B is in between A and C cutting the segment in a 1:2 ratio,

$\bf \textit{internal division of a line segment using ratios} \\\\\\ A(-9,-7)\qquad C(x,y)\qquad \qquad \stackrel{\textit{ratio from A to C}}{1:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{1}{2}\implies \cfrac{A}{C}=\cfrac{1}{2}\implies 2A=1C\implies 2(-9,-7)=1(x,y)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill$

$\bf B=\left(\cfrac{(2\cdot -9)+(1\cdot x)}{1+2}\quad ,\quad \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}\right)~~=~~(-4,-6) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -9)+(1\cdot x)}{1+2}=-4\implies \cfrac{-18+x}{3}=-4 \\\\\\ -18+x=-12\implies \boxed{x=6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}=-6\implies \cfrac{-14+y}{3}=-6 \\\\\\ -14+y=-18\implies \boxed{y=-4}$

6 0

3 years ago

If the point A at (5, 3) is rotated clockwise about the origin through 90o, what will be the coordinates of the new point?

evablogger [386]

The point (5, 3) is in first quadrant, then after the 90° clockwise the point will be in fourth quadrant and the coordinate will get swap. Then the coordinate will be (3, -5).

<h3>What is a transformation of a point?</h3>

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

If the point A at (5, 3) is rotated clockwise about the origin through 90°.

Then the coordinates of the new point will be

The point (5, 3) is in first quadrant, then after the 90° clockwise the point will be in fourth quadrant and the coordinate will get swap.

Then the coordinate will be (3, -5).

More about the transformation of a point link is given below.

brainly.com/question/27224339

#SPJ1

7 0

2 years ago

In the first generation there are 4 monkeys on an island. Every generation after that the monkey population doubles. In generati

UNO [17]

Answer:

Step-by-step explanation:

6 0

3 years ago