All categories

2 years ago

Find P(x > 120) provided that it is known that

Mathematics

1 answer:

tresset_1 [31]2 years ago

3 0

The probability when x is greater than 120 is 0.0367. Then the correct option is D.

<h3>What is a normal distribution?</h3>

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be

The z-score will be

z = (120 - 95)/ 14

z = 1.7857

Then the probability will be

P(x > 120) = P(z > 1.7857)

P(x > 120) = 1 - P(x<120)

P(x > 120) = 1 - 0.96293

P(x > 120) = 0.0367

More about the normal distribution link is given below.

brainly.com/question/12421652

#SPJ1

You might be interested in

Help please/////////////////////

Wewaii [24]

i dont understand the question

7 0

2 years ago

For a craft project, Jackie spent 45 minutes beading, 10 minutes painting, and 25

anygoal [31]

Answer:

1 hour and 20 minutes

Step-by-step explanation:

45+25+10=80 minutes which equal 1 hour and 20 minutes

3 0

2 years ago

A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol

k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

$W = 3 + L$ ......equation 1

$H = 4 + L$ ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

$Volume = length * width * height$ .....equation 3.

Substituting the values into equation, we have;

$224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}$

Rearranging the polynomial, we have;

$L^{3} + 7L^{2} + 12L - 224 = 0$

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

$(x - 3) = 0\\x = 3$

$P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0$

We would try with 4;

$P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0$

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0

2 years ago

When two geometric figures (angles, rectangles, etc.) have the same size and shape, they are called ____.

e-lub [12.9K]

When two geometric figures (angles, rectangles, etc.) have the same size and shape, they are called <u>Congruent.</u>

7 0

3 years ago

Read 2 more answers

Steve's sister is 25 years old. her age is 5 years more than 4 times his age.

Virty [35]

Answer:

Steve is 5

Step-by-step explanation:

Steves sister is 25, she is 5 years more than 4 times steve is.

5 * 4 = 20 and the sister is 5 years older so,

Steve is 5

6 0

2 years ago