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Alenkinab [10]
3 years ago
8

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Novay_Z [31]3 years ago
8 0
I agree with the person above, I also believe it is B, have a nice day, Merry Christmas
You might be interested in
Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105 and a standard deviation sigma equa
Sindrei [870]

Answer:

0.7698

Step-by-step explanation:

If you call your random variable X, then what you are looking for is

P(87 \leq X \leq 123)

because you want the probability of X being <em>between 87 and 123.</em>

We need a table with of the normal distribution. But we can only find the table with \mu = 0 and \sigma = 1. Because of that, first we need to  <em>normalize </em>our random variable:

Z = \frac{X - \mu}{\sigma} = \frac{X - 105}{15}

(you can always normalize your variable following the same formula!)

now we can do something similar to our limits, to get a better expression:

\frac{87 - 105}{15} = \frac{-18}{15} = -1.2

\frac{123 - 105}{15} = \frac{18}{15} = 1.2

And we transform our problem to a simpler one:

P(87 \leq X \leq 123) = P(-1.2 \leq Z \leq 1.2) = P(Z \leq 1.2) - P(Z \leq -1.2)

(see Figure 1)

From our table we can see that P(Z \leq 1.2) = 0.8849 (this is represented in figure 2).

Remember that the whole area below the curve is exactly 1. So we can conclude that  P(Z \geq 1.2) = 0.1151 (because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then

P(Z \leq -1.2)= P(Z \geq 1.2) = 0.1151.

FINALLY:

P(Z \leq 1.2) - P(Z \leq -1.2) = 0.8849 - 0.1151 = 0.7698

5 0
3 years ago
A hot air balloon holds 74,000 cubic meters of helium, a very noble gas with the density of 0.1785 kilograms per cubic meter. Ho
mel-nik [20]
P=m/V
Where p is density,m is mass,v is volume
m=PV
m=74000×0.1785
m=13209kg
5 0
3 years ago
PLZZZZZZZZZZZZZZZZZ HELP!
zheka24 [161]

Answer:

-8

Step-by-step explanation:

5(x+12)=  20

5x+60= 20  

5x= -40

x= -8

3 0
3 years ago
PLEASE PLEASE PLEASE HELP ME ANSWER THIS QUESTION QUICK!! The picture of the question is down below.
torisob [31]

Answer:

Thr answer is B.

Step-by-step explanation:

x-1^2 = x^2 - 2x +1

Using forming a square shape via formaticals, yes.

5 0
3 years ago
Carla has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 10 inches long, and 7 cm de
solniwko [45]

Answer:

To determine the correct statement in the choices presented, we first have to solve the area of the tray. We assume it to be in a rectangular form so the area is:

Step-by-step explanation:

Area = 10 in x 10 in x 7/2.54 in = 275.59 in³ for the paint tray

1 gallon paint = 231 in³ paint

Therefore, the correct answer is the first option. The paint will not fill the tray by 44.59 in³

6 0
2 years ago
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