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3 years ago

For a normal distribution what percentage of data falls within one standard deviation of the mean

Mathematics

1 answer:

3241004551 [841]3 years ago

8 0

Answer:

For a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean

Step-by-step explanation:

A normal distribution's graph is a bell shaped curve that is completely described by its mean and standard deviation. Standard deviation is measured in terms of distance from mean.

34% of data is covered in one standard deviation from mean on one side.

Therefore, for a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean ..

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the solutions to the inequality y > −3x 2 are shaded on the graph. which point is a solution? a). (0, 2) b). (2, 0) c). (1, −

PolarNik [594]

we have

$y> -3x+2$

The solution is the shaded area above the dotted line

we know that

If a point is a solution of the inequality, then the coordinates of the point must satisfy the inequality

We will verify all cases to determine the solution of the problem

Case A) Point $(0,2)$

$x=0\\y=2$

Substitute the value of x and y in the inequality and verify

$2> -3*0+2$

$2>2$ -------> is not true

therefore

the point $(0,2)$ is not a solution of the inequality

Case B) Point $(2,0)$

$x=2\\y=0$

Substitute the value of x and y in the inequality and verify

$0> -3*2+2$

$0>-4$ -------> is true

therefore

the point $(2,0)$ is a solution of the inequality

Case C) Point $(1,-2)$

$x=1\\y=-2$

Substitute the value of x and y in the inequality and verify

$-2> -3*1+2$

$-2>-1$ -------> is not true

therefore

the point $(1,-2)$ is not a solution of the inequality

Case D) Point $(-2,1)$

$x=-2\\y=1$

Substitute the value of x and y in the inequality and verify

$1> -3*(-2)+2$

$1>8$ -------> is not true

therefore

the point $(-2,1)$ is not a solution of the inequality

therefore

the answer is the Point B

$(2,0)$

To better understand the problem see the attached figure

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2 years ago

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Ms. Johnson was grading Drake's test. Drake got 27 out of 30 questions correct. What percent is equivalent to the fraction of th

andreev551 [17]

27/30 as a percentage is 90%

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2 years ago

Order of Operations

Rzqust [24]

Answer:

answers are 3 and 62

Step-by-step explanation:

the answers were give above. If further instruction needed lmk :)

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2 years ago

MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold fo

Vaselesa [24]

Answer:

A = 80 S =70

Step-by-step explanation:

#Adults tickets = A

#Students tickets = S

A + S = 150

5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether

3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether

5A + 3S = 610 (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)

Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.

A + S = 150

5A + 3S = 610

Substitution:

A = 150 - S (Rearrange the first equation by moving S to the other side)

Substitute into the other equation

5 (150 - S) + 3S = 610

750 - 5S + 3S = 610 Combine like terms : -2S = -140

Solve for S = 70

Substitute into A + S = 150 A + (70) = 150

A = 80

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2 years ago

Mr. McGregor went to Target to buy four pairs of dress socks. There was a 30% off sale on the socks, and his total bill before t

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Answer:

Each pair of socks cost $4.55

Step-by-step explanation:

14*.30=4.2

14+4.2=18.2

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2 years ago

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