The mean of a normally distributed dataset is 12, and the standard deviation is 2. what percent of the data points lies between 8 and 16?

Answers

Answer 1

Answer: $\mathbb P(8<X<16)=\mathbb P\left(\frac{8-12}2<\frac{X-12}2<\frac{16-12}2\right)=\mathbb P(-2<Z<2)$

The empirical rule states that approximately $95\%$ of a normal distribution lies within two standard deviations of the mean.

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Factor the polynomial.

54c3d4 + 9c4d2

Answers

$54c*3d^4+9c*4d^2$

$162cd^4+9c*4d^2$

$162cd^4+36cd^2$

Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?

Answers

The sum of the interior angles of the polygon = (n - 2) x 180 .

(n - 2) x 180 = (n x 150)

180n - 360 = 150n

Add 360 to each side:

180n = 150n + 360

Subtract 150n from each side:

30n = 360

Divide each side by 30 :

n = 12

A puppy will grow 28 in it is currently 1 foot tall

Answers

♥ If he will grow to 28inches and he is currently 1ft tall, then he needs to grow 16 more inches to get his full height.
♥ I did this by solving what was in 1ft (12 inch) so 28-12=16.
♥ Therefore he needs to grow 16 more inches.
♥Hope this helps♥

so 1+28in so 3ft4in would be correct idk just using the metric system

Number # 11 please !!!

Answers

I am pretty sure it is Quadrant 1 (Quadrant I)

Hope this helped!!

In what quadrant on the coordinate plane is the point (5,-2) located? Your answer would be : Quadrant I V

Complete the solution of the equation find the value of y when x equals -11 5x+6y=-37

Answers

Answer:

x = - 11

y = 3

Step-by-step explanation:

5x + 6y = - 37

x = - 11

5( - 11) + 6y = - 37

- 55 + 6y = - 37

- 55 + 55 + 6y = - 37 + 55

6y = 18

6y ÷ 6 = 18 ÷ 6

y = 3

Solve the inequality. |4x + 2| < 26 A. –32 < x < 20

B. –7 > x > 6

C. –6 < x < 6

D. –7 < x < 6

Answers

Hello,
Answer D

1) if 4x+2>0 then |4x+2|=4x+2
==> 4x+2<26
==>4x<24
==>x<6

2) if 4x+2<0 then |4x+2|=-(4x+2)=-4x-2

==>-4x-2<26
==>-4x<28
==>x>-7

thus -7<x<6

Answer:

D. –7 < x < 6

Step-by-step explanation:

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