Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 56 and 64? Round your
answer to the nearest tenth of a percent.

Answers

Answer 1

Answer:

62.5%

Step-by-step explanation:

(56 - 62) / 4 = -1.5 z score = 0.0668

(64 - 62) / 4 = 0.5 z score = 0.6915

0.6915 - 0.0668 = 0.6247

Rounded this becomes 62.5%

Answer 2

The probability for the data value in between 56 and 64 is 62.5%.

What is z-score?

The z-score of a value is the count of the numbers of standard deviations between the value and the mean of set.

How to calculate z-score?

z-score can be calculated by the formula

z = (x - μ)/σ

where,

μ is the mean

σ is the standard deviation

x is the data point

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur.

According to the given question

Mean of a normal distribution, μ = 62

standard deviation of a normal distribution, σ = 4

Now for the data value 56, the z-score will be

z = (56 - 62) / 4 = -1.5 z score = 0.0668

So, the area under normal distribution curve z = -1.5

P(z = -1.5) = 0.0668

Similarly,

For the data value 64, the z-score will be

z-score  = (64 - 62) / 4 = 0.5

The area under normal distribution curve z = 0.5 is given by

P( z = 0.5) = 0.69

Therefore, the probability for the data value in between 56 and 64 is given by

0.6915 - 0.0668 = 0.6247 =  62.5%

Hence, the probability for the data value in between 56 and 64 is 62.5%.

Learn more about the z-score and probability here:

https://brainly.com/question/25638875

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Related Questions

Describe how total job benefits and total employee compensation differ

Answers

Answer:

in my opinion they do not.

Step-by-step explanation:

Answer: Total compensation is everything the company provides an employee in exchange for working. It includes base salary, bonuses, benefits, perks and on-site amenities.Total compensation indicates that an employee is making two or three times his base salary.

Given this graph of the function f(x) a) b) c) d) please a need help

Answers

Answer:

a) 2

b) -2

c) -2

d) 1/2

Step-by-step explanation:

1) f(-4) means that x=-4 and you must locate the y value on the graph

2) f(2) means that x=2 and you must locate the y value on the graph

3) f(x)=4 means that y=4 and you must locate the x value on the graph

4) f(x)=-1 means that y=-1 and you must locate the x value on the graph

WILL GIVE THANK,BRAINLY,AND 5 STARS

The long sides of a rectangle measure 5 ft 6 in, and the short sides are 3 ft 4 in. What is the perimeter?

Answers

Answer:

I believe the answer is 17 ft and 8 inches

Step-by-step explanation:

correct me If im wrong

The radius of a circle is 6 inches. What is the length of a 135-degree arc?

Answers

14.14 inches

Convert 135° into radians. 135*2pi/360=3pi/4.
6*3pi/4=18pi/4=9pi/2=14.14

Another viable method is to do 2pi*6*135/360=14.14

HELP PLZZ!! ill give brainlist

Answers

Answer:

Step-by-step explanation:

The spinner should land on whatever color 25% of the time.

25% of 20 = 25/100 * 20 = 500/100 = 5

So the correct answer is the number of times the spinner lands on a color 5 times. Only white does that. All the other colors either go above 5 or below it.

Answer:

White

Step-by-step explanation:

to find the theoretical probability, you just divide the number of times you spin it, which is 20, by how many equal sides the spinner has which is 4.

So therefore you'll do:

20 ÷ 4 = 5

So since that is the same probability as white, the answer is white.

can somebody help me with this please​

Answers

Answer:

  2 bottles

Step-by-step explanation:

The 15 trees will need ...

  (15 trees)×(10.5 fl oz/tree) = 157.5 fl oz

This is about ...

  (157.5 fl oz)/(33.814 fl oz/L) ≈ 4.66 L

This is just slightly more than the quantity available in 1 bottle. It amounts to ...

  4.66 L/(4.1 L/bottle) ≈ 1.14 bottles

We assume that only whole bottles can be purchased, and that we do not have an inventory of fertilizer on hand.

2 bottles are needed to fertilize 15 trees

three pounds of bananas cost $1.95. Which of the following is not true?

Answers

Answer:

put the examples on the test or assignment so i can answer it

What is the equation please

Answers

Answer:

y = -2/5x - 2

Step-by-step explanation:

Answer:

y = 2/5x -2 or y = 0.4x -2

Explanation:

Step 1: Calculating Slope (m).

m =   [tex]\frac{y2-y1}{x2-x1}[/tex]

m =    [tex]\frac{0-(-2)}{5-0}[/tex]

m =  [tex]\frac{2}{5}[/tex]  

m = 0.4

Now putting value of m in equation (i)

y = 0.4x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (0,-2) for calculating y-intercept:

y = mx + b

-2 = 0.4(0) + b

-2 = 0 + b

-2 = b

b = -2

Now put the value of b in equation (ii)

y = 0.4x + -2

A line passes through the points (-2, 9) and (1, 3).

Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.

Answers

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

1) Find slope:

[tex]\frac{3-9}{1-(-2)}[/tex] =  [tex]\frac{-6}{3}[/tex] = -2

-2 = slope

2) Find y intercept trough point slope and slope-intercept forms

y - y1 = m (x - x1)

y - 9 = -2 (x + 2)

y - 9 = -2x -4

  + 9         + 9

y = -2x + 5

y = mx + b with b being the y-intercept

5 = y-intercept

The graph of a line passes through the points (0, 8) and (4, 0). What is the equation of the line?

Answers

Answer: y = -2x + 8

Step-by-step explanation:

gradient = change in y/ change in x = 8/-4 = -2

y = -2x + c

substitute values in

8 = 0 + c

c = 8

y = -2x + 8

The graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8

How to find the equation of a line

The line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b

m is the slopeb is the y-intercept

Find the slope

Slope = -8/4
Slope = -2

Determine the y-intercept

Since the y-intercept is the point where the line cross the y-axis, hence b = 8.

FInd the required equation

y = -2x + 8

Hence if the graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8

Learn more on equation of a line here: https://brainly.com/question/18831322

In triangle ABC, if angle A + angle B = 5 angle C, find angle C​

Answers

Answer:

30

Step-by-step explanation:

A + B = 5C

A + B + C = 180

since A + B is 5C we can rewrite with 5C

5C + C = 180

6C = 180

c = 30

It’s 30 trusttttttttt:———-

The area of a circular field is 16π square miles. What is the diameter of the field in miles.

Answers

Answer:

8

Step-by-step explanation:

1. Divide the area (in square units) by Pi (approximately 3.14159).

2. Take the square root of the result. This is the radius.

3. Now double the radius to get the diameter

Answer:

8 miles

Step-by-step explanation:

When given area, we use the formula of 2√(area/pi). It may look slightly complex, but in this equation, we are fortunate that pi is in our area. This essentially cancels out the pi in the equation, simplifying it to √(16), which is simply 8!

Hope this helps you!

2x²+3x-5=0 квадрані рівняння

Answers

Answer:

x = 1

x= -2.5

Step-by-step explanation:

we can use perfect square method quadratic method or solve it using a calculator directly

Convert 1 = 4 to polar form.

Answers

Answer:The inverse tangent of 14 is θ=14.03624346° θ = 14.03624346 ° . This is the result of the conversion to polar coordinates in (r,θ) form.

Step-by-step explanation: i think this may help you

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. Find the value of X

Answers

Answer:

x = 12.81

Step-by-step explanation:

A square with side length s has perimeter 4s. Nellie painted on a square canvas that is 10.5
inches on each side.
What is the perimeter of the picture?
Write your answer as a whole number or decimal.

Answers

Answer:

42inches

Step-by-step explanation:

Perimeter = 4s

where s is length of each side

when s is 10.5

Perimeter = 4 × 10.5

= 42

You went to a carnival. Each ride cost $2.50.
Let c represent the cost and n represent the
number of rides.

Answers

C=2.5r brainliest plz

Bus A and Bus B leave the the bus depot at 2 pm.

Bus A takes 15 minutes to complete its route once and bus B takes 25 minutes to complete its route once.

If both buses continue to repeat their route, at what time will they be back at the bus depot together?

Assume the buses have have no breaks in between routes.

Give your answer as a 12-hour clock time.

Answers

Answer:

3:15 pm

Step-by-step explanation:

You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.

Simplify
4^33 8^37
—————-
4^15 8^21

A. 4^18 8^58
B. 4^18 8^16
C. 8^48 16^58
D. 16^18 64^16

Answers

Answer:

A

Step-by-step explanation:

pleaseeee help me ………

Answers

Answer:

number 2

Step-by-step explanation:

One number exceed another by 11, the sum of the two numbers is 5. What are the numbers?​

Answers

Answer:

The first number is -3, the second number is 8

Step-by-step explanation

Let x = the first number

exceeded means add, so the second number is x+11

sum means add, so the equation is x+x+11=5

combine like terms to get 2x+11=5

subtract 11 on both sides, 2x=-6

divide by 2 on both sides, x= -3

second number was x+11, so -3+11 = 8

Bailey and Elena compete in a swim race. Their times are
shown below.
Round each time to the nearest whole second. Then estimate how
many seconds Bailey won the race by.
50-m Freestyle Results
Time
Swimmer
(seconds)
Bailey 35.78
DONE
Elena
39.51
11
Complete
&
ty

Answers

Answer:

3.7

Step-by-step explanation:

39.5 - 35.8 is 3.7

[tex]39.51=40\\ 35.78=36\\\\ 40-36=16 more seconds more than Bailey.[/tex]

if its any number from 5 and larger, you can round it up to a whole.  

find the slope of the line that passes through (3,1) (4,9)

Answers

Answer:

+8

Step-by-step explanation:

The slope here would be 8 using rise over run formula which puts y/x and gives you 8

pls someone help me.

Answers

AB=EF

ABEF=ABF+AEF

NOW CONTINUES THE SOLUTION

A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same direction at a rate of 54km/h. At what time will the van catch up with the truck?

Answers

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Find out more on speed at: https://brainly.com/question/3004254

Answer:

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Calculate the average speed of an airplane, in miles per hour, if it travels 1,000 miles in 2

2 1 2

hours.

Answers

speed=distance ÷time1000m÷212 hours 4.71698m i hope this helps

The average speed of the airplane which travels the given distance and time is 400mph.

Speed

Speed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.

It is expressed as;

s = distance / time = d / t

Given the data in the question;

Distance travelled d = 1000miTime taken t = 2 and 1/2 hrs = 2.5hrsAverage speed; s = ?

To determine the average speed of the airplane, we substitute our given values into the expression above.

s = d / t

s = 1000mi / 2.5hrs

s = 400mph

Therefore, the average speed of the airplane which travels the given distance and time is 400mph.

Learn more about Speed and Velocity here: https://brainly.com/question/10566304

Can someone help me?

Answers

Answer:

d

Step-by-step explanation:

A money market account dropped to 5/8 its original value of $7.200. What is its current value?

A. 180
B. 450
C. 1,152
D. 4,500
E. 11,520

Answers

Answer:

Which claim most accurately describes the energy transformation taking place while he practices his guitar?

Sound energy is converted into elastic energy.

Kinetic energy is converted into thermal energy.

Mechanical energy is converted into sound energy.

Electrical energy is converted into mechanical energy.

Step-by-step explanation:

Answer:

C. 4,500

Step-by-step explanation:

Since we have 5/8 of the original 7200, we can multiply and divide.7200*5=3600036000÷8=4500Therefore, the answer is c, 4,500

If a = 5i and b
-2 + i, then find the value of ab in fully simplified form

Answers

42. 51 $\♤ ●gd rgbdyfurudgdhsuxu

9+3x=18-6x find for x

Answers

Answer:

Hiya There!!!

_________________________

Isolate the variable by dividing each side by factors that don't contain the variable.

x =  1

_________________________

“The harder you fall, the heavier your heart; the heavier your heart, the stronger you climb; the stronger you climb, the higher your pedestal.”

― Criss Jami, Killosophy

_________________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

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