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2 years ago

A variable is normally distributed with mean 6 and standard 2 deviation .

1 answer:

8 0

The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.

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

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

A.) The percentage of all possible values of the variable that lie between 5 and 9.

P(5<X<9) = P(X<9) - P(5<X)

= P(z<1.5) - P(-0.5<z)

= 0.9332 - 0.3085

= 0.6247

= 62.47%

B.) The percentage of all possible values of the variable that exceed 1.

P(X>1) = 1 - P(X<-2.5)

= 1-0.0062

= 0.9938

= 99.38%

C.) The percentage of all possible values of the variable that are less than 4.

P(X<4) = P(X <4)

= P(z<-1)
= 0.1587

= 15.87%

Learn more about Normal Distribution:

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Show work/pls explain

Tamiku [17]

9+6(2^2+4)
9+6(4+4)
9+(6)(8)
9+48
=57

5 0

3 years ago

Can someone answer this

11111nata11111 [884]

Answer:

Well first see what the points are

Step-by-step explanation:

5 0

3 years ago

Mr. Black bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr. Black's

miss Akunina [59]

Answer:

$36.94

Step-by-step explanation:

Okay, so. This is what we do. There is two magazines and they cost 9.95 each multiply 9.95 times 2

9.95 x 2 = 19.90

Okay, then he buys a book for 14.95 we add 19.9. and 14.95

19.90 + 14.95 = 34.85

Then we have a sales tax of 6% we would multiply 34.85 time 6%

34.85 x 6% = 2.09

Then we would add. 34.85 + 2.09

34.85 + 2.09 = 36.94

Therefore your answer is $36.94

Hope this helps!!!

3 0

3 years ago

Read 2 more answers

If 1st and 4tg terms of G.p are 500 and 32 respectively it's second term is ?

bixtya [17]

Answer:

$T_{2} = 200$

Step-by-step explanation:

Given

Geometry Progression

$T_1 = 500$

$T_4 = 32$

Required

Calculate the second term

First, we need to write out the formula to calculate the nth term of a GP

$T_n = ar^{n-1}$

For first term: Tn = 500 and n = 1

$500 = ar^{1-1}$

$500 = ar^{0}$

$500 = a$

$a = 500$

For fought term: Tn = 32 and n = 4

$32 = ar^{4-1}$

$32 = ar^3$

Substitute 500 for a

$32 = 500 * r^3$

Make r^3 the subject

$r^3 = \frac{32}{500}$

$r^3 = 0.064$

Take cube roots

$\sqrt[3]{r^3} = \sqrt[3]{0.064}$

$r = \sqrt[3]{0.064}$

$r = 0.4$

Using: $T_n = ar^{n-1}$

$n = 2$ $r = 0.4$ and $a = 500$

$T_{2} = 500 * 0.4^{2-1}$

$T_{2} = 500 * 0.4^1$

$T_{2} = 500 * 0.4$

$T_{2} = 200$

<em>Hence, the second term is 200</em>

5 0

3 years ago

The figure below shows a rectangular lawn. 23ft 14ft (a) Use the calculator to find the perimeter and area of the lawn. Make sur

tamaranim1 [39]

The area and perimeter of the lawn will be 322 square feet and 74 feet. If the lawn will be mowed. Then the area will be used. If the lawn will be surrounded by a rope. Then the perimeter will be used.

<h3>What is a rectangle?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The figure below shows a rectangular lawn.

Then the area of the rectangle will be

Area = 23 × 14

Area = 322 square feet

Then the perimeter of the rectangle will be

Perimeter = 2 (23 + 14)

Perimeter = 2 × 37

Perimeter = 74 feet

If the lawn will be mowed. Then the area will be used.

If the lawn will be surrounded by a rope. Then the perimeter will be used.

More about the rectangle link is given below.

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4 0

2 years ago