Given a normal distribution with a mean of 120 and a standard deviation of 12, what percentage of values is within the interval 96 to 144

Answers

Answer 1

Answer:

0.9545

Step-by-step explanation:

Given that :

Mean (m) = 120

Standard deviation (s) = 12

what percentage of values is within the interval 96 to 144

P(96 < x < 144)

P(x < 96)

obtain the standardized score (Z) :

Z = (x - m) / s

Z = (96 - 120) / 12 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 144)

obtain the standardized score (Z) :

Z = (x - m) / s

Z = (144 - 120) / 12 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

p(Z < - 2) - p(Z < 2) = 0.97725 - 0.02275 = 0.9545


Related Questions

Which expression is equivalent to 8(x + 2)?
(A was wrong) C 8x + 16
B 8 + x + 8 + 2 D 8x + 10

Answers

i believe it is C when you distribute: 8*x is 8x and 8*2 is 16
I’m 80% sure is C ....

ASAP!!!!!!!!!! List three figures that you have learned about estimating area

Answers

I need points too lol

Boden's account has a principal of $700 and a simple
interest rate of 3.7%. Complete the number line. How much
money will be in the account after 4 years, assuming Boden
does not add or take out any money?

Answers

Answer:

823.2

Step-by-step explanation:

Interest = 700 × 4.4/100 × 4 = 123.2

Balance = Principle + interest

700 + 123.2 = 823.2

Answer - 823.2

Hope this helps!!!

A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph of the equation is shown. Describe what the slope and y-intercept represent.

Answers

Answer:

y-intersept is the design fee

A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smal number
1. Define the variables: x = smaller number and y = larger number
2. Identify the key words: more than (addition), times (multiplication), is (equals)
3. Write the equations.

Which equation represents a larger number that is 2 more than 4 times a smaller number?
x=2+4y
x=4+2y
x=2+4x
y=4+2x

Which equation represents a larger number that is 8 more than 2 times a smaller number?

x=8+2y
x=2+8y
y=2+8y
y=8+2x​

Answers

Answer:

ad

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

I don't understand math please help me

Answers

Answer: I cant really read the questions.

Step-by-step explanation:

The questions are a bit blurry can you post again

Hi I rlly could use some help with this! I'm not the best at math and I'm rlly struggling with this assignment its a couple questions long! I will give brainiest and 10 given points!
Info:In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.
1.The first step in modeling this situation is to track how much money the baseball team will take in. Write an equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x. Ignore the setup cost.

2.The equation you wrote in part A accounts for money collected. However, it does not account for the money the baseball team spent to set up the car wash. What do you need to do to the equation in part A to account for the setup cost?

3.Now that you have an idea of how much money the baseball team will collect and how much it will spend, you’re ready to write an equation modeling the situation. Write an equation representing the profit made on the car wash in dollars, y, in terms of the number of cars washed, x, after expenses.

4.You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents this value? What does the y-value of this point mean in terms of the problem?

5.The baseball team will break even when the amount of money it has received equals the amount of money it spent. In other words, the team breaks even when the profit is equal to zero. How many cars does the baseball team have to wash to break even? What point represents this value? What does the x-value of this point mean in terms of the problem?

Pls help!!!

Answers

1. Let y represent the amount of money earned, and x the number of cars they wash. Then

y = 5x

Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that x car washes generate $5x.

2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).

3. Taking into account the setup cost of $75, the profit they make is given by

y = 5x - 75

4. When x = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.

5. Set the profit function equal to 0 and solve for x :

5x - 75 = 0

5x = 75

x = 75/5

x = 15

So the team has to wash at least 15 cars to break even.

Answer:

The setup cost is $75. To account for the setup cost, you need to subtract 75 from the right side of the equation obtained in part A.

Step-by-step explanation:

Ms. cooper goes to Panera Bread for dinner and orders the Green Goddess salad. Her total was $8.79. Ms. cooper gave the cashier $10, how much change did she receive?

Answers

1.21 would be the correct answer

Desmond bought 7 1/2 pints of ice cream for his party. He is going to serve each guest 3/4 pint

Answers

Answer:

10 guests

Step-by-step explanation:

Step one:

Desmond bought 7 1/2 pints of ice cream

each guest gets a 3/4 pint

Required

The number of guests that Desmond can serve

Step two:

let us convert  7 1/2 to a simple fraction

= 15/2

The number of guests to be served is

=15/2/3/4

multiply the numerator by the inverse of the denominator

=15/2*4/3

=60/6

=10 guests

1. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140x) – (30x + 1200) represents the profits for one week, where x is the number of products sold. Which statement is true?

a) The slope of the function is 110, and it represents the change in net profit per product sold.
b) The slope of the function is 140, and it represents the initial operating costs of the business
c) The slope of the function is 110, and it represents the initial operating costs of the business.
d) The slope of the function is 140, and it represents the change in net profit per product sold.

Answers

I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye

Bob bought the 24 fish for $51.36. How much did each fish cost him? Show your calculation.

Answers

Answer:

2.14

Step-by-step explanation:

2.14x24=51.36

Use the figure to find the measure of the angle.Explain your reasoning.

Answers

angle2=180-152=28

angle3=28

angle4=152

angle5=152

angle6=28

angle7=28

angle8=152

The values of the marked angles: angle 2, angle 3,  angle 4,  angle 5,  angle 6,  angle 7,  angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.

What is an angle?

When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.

Given, angle 1 = 152°

We know, angle 1 + angle 2 is 180°.     (supplementary angles)

Therefore, angle 2 = (180° - 152°) = 28°.

Again, angle 2 = angle 3.             (opposite angles)

Therefore, angle 3 = 28°.

Similarly, angle 1 = angle 4

Therefore, angle 4 = 152°.

Now, angle 1 = angle 5        (corresponding angle)

Therefore, angle 5 = 152°.

Now, angle 2 = angle 6        (corresponding angle)

Therefore, angle 6 = 28°.

Now, angle 3 = angle 7        (corresponding angle)

Therefore, angle 7 = 28°.

Now, angle 4 = angle 8        (corresponding angle)

Therefore, angle 8 = 152°.

Learn more about an angle here: https://brainly.com/question/18129828

#SPJ2

please help!!!


W +2/3 = -1/6

simplify your answer as much as possible

solve for W

Answers

Answer:

w= -5/6

Step-by-step explanation:

That the right answer

Which mapping diagram does not represent a function? ​

Answers

Answer:

A.

Step-by-step explanation:

The definition of a function is that each input has only 1 output. That does not mean that 2 different inputs can not have the same output. A. shows that the number 3 has 2 outputs. My explaining is not that good but trust me.

IM MARKING BRAINLIEST

Robert wants to make a scarf and matching hat for his sister. The patterns call for 4/6 yard of fabric for the scarf and 1/6 yard of fabric for the hat. How much fabric should robert buy?

Answers

5/6 yards

Step-by-step explanation:

[tex] \frac{1}{6} + \frac{4}{6} = \frac{5}{6} [/tex]

Answer:

5/6 yards of fabric

Step-by-step explanation:

4/6 yards + 1/6 yards = 5/6 yards

Help me ASAP plssssssss

Answers

Answer:

crackhead

Step-by-step explanation:

he plays to much and needs exercise

Answer:

can you help me with my recent question??? pleaseeee

At a bakery every 4th coustmer recives a free cookie snd every 10th customer recives a free drink. Which customer will be the first to recive a free cookie and a free drink

Answers

Answer:

40th costumer

Step-by-step explanation:

The 40th costumer will receive a free cookie and drink. You need to find factors of 4 and factors of 10. Then when you find 4 and 10 have the same factor that’s your answer. So you do 4,8,16,24,32,36,40,44,48, etc. (counting up by 4) now do it to 10,20,30,40,50,60,70, etc. (counting up by 10) Now you notice that the first number that is the same is 40. So that means the 40th costumer will be the first one to receive a free drink and cookie.

Customer first to receive a free cookie and a free drink is 20th number customer

Given that;

Number of customer received free cookie = 4th

Number of customer received free drink = 10th

Find:

Customer first to receive a free cookie and a free drink

Computation:

Customer first to receive a free cookie and a free drink = LCM of 4 and 10

Customer first to receive a free cookie and a free drink = 20th number customer

Learn more:

https://brainly.com/question/1879445?referrer=searchResults

What is the z-statistic for the sample? Round the answer to the nearest hundredth. z =

Answers

Answer:

What is the z-statistic for the sample? Round the answer to the nearest hundredth.

z =  

2.07

Step-by-step explanation:

on edge :)

Answer:

2.07

Step-by-step explanation:

3) In what quadrant is the point (5, −8) located?
A) I
B) II
C) III
D) IV

Answers

Answer:

D) Quadrant IV

Answer:

Quadrant IV

Step-by-step explanation:

Given an array of points:

Quadrant I := [x > 0, y > 0]

Quadrant II := [x < 0, y > 0]

Quadrant III := [x < 0, y < 0]

Quadrant IV := [x > 0, y < 0] (our case)

in [tex]P(5, -8)[/tex] [tex]x > 0, y < 0[/tex]

The results of a survey of 150 students about whether they
own an electronic tablet or a laptop are shown in the two-way
frequency table.

Answers

Answer:

its either quantitive data ( numerical measurements) or categorical data (cannot be expressed using numbers)

Two way frequency table: Pairs categorical values to list frequencies  

Step-by-step explanation:

For example: One hundred students were surveyed about which beverage they chose at lunch. Some of the results are shown in the two-way frrequency table below.

Lunch Bevarage

genders               Juice.           Milk.         Water.     Total

Girl :                     10                  13              17            40

Boy:                     15                  24             21            60

Total:                   25                 37             38      =    100

An entire pumkin pie (16 Slices ) has 3,840 calories. If the pie is cut into 16 slices how many calories are in each slice?

Answers

Answer:

240

Step-by-step explanation:

Answer:

240 calories

Step-by-step explanation:

3,840 divided by 16 is 240 :)

So how do I graph y=2/5x+3

Answers

I believe you would graph it like this

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x

Answers

This question is incomplete, the complete question is;

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x  = y = z.

Answer:

the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Step-by-step explanation:

Given that;

line x = y = z and point ( 3, 1, 2 )

the given line can be written as;

[x-0 / 1] = [y-0 / 1] = [z-0 / 1]

if two lines are parallel directional ratios are equal.

so DIRECTIONAL RATIOS  of given line is ( 1, 1, 1 )

therefore required line is;

[x-3 / 1] = [y-1 / 1] = [z-2 / 1] = t

⇒ [x-3 / 1] = t

x = t+3

[y-1 / 1] = t

y = t+1

[z-2 / 1] = t

z = t+2

Therefore the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Before your trip to the mountains your gas tank was 7/9 full. When you returned home, the gas gauge registered 1/3 of a tank. If your gas tank holds 18 gallons did you use to drive to the mountains and then back home?

Answers

That means it would be 20/17

4200 with a 35%markdown

Answers

Answer:

2,730

Step-by-step explanation:

4200 x 0.35 = 1470, 4200 - 1470 = 2730

Answer:

35% markdown of 4200 mean;

4200 - 35% of 4200

= 4300 - 1470 = 2730

christian has six grades from tests and IXL. they are all weighted equally. if christian grades are 100,96,96,88,70 and 100, what is the current average grade (round to the nearest whole number)

Answers

Answer:

His average grade would be 91.6... (or 92% if you're rounding up)

Step-by-step explanation:

Add 100, 96, 96, 88, 70, and 100 to get 550, then divide by 6 because there are 6 total grades.

The slope of a line on the coordinate plane can be calculated using any two points on the line and one outside point.
O True
O False

Answers

Answer:

true i think

Step-by-step explanation:

Yes I believe that it is also true

Order -3/4, 3/8, -1 1/8, -1/2 from least to greatest.Which is correct?

-1 1/8, -3/4, -1/2, 3/8

-1/2, -3/4, 1 1/8, 3/8

3/8, 1 1/8, -3/4 , -1/2​

Answers

Answer:

the first one

Step-by-step explanation:

because the negative number is the least, and the positive is the greatest

g(x) = -4x2 + 4x – 2
What is the maximum or minimum step by step

Answers

Ok for this answer you use a calculator for the times part and for g x you get the times you count too

We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]

Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.

To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:

[tex]g'(x)=-8x+4[/tex]

To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have

[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]

So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.

[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]

Therefore, the maximum point [tex]M[/tex] of the function is

[tex]\boxed{M=(0.5,-1)}[/tex]

 Glad to help! Wish you great studies.

If you found this helpful consider giving this answer brainliest ;)

what is the equation of the line in slope intercept form.​

Answers

The correct answer is D
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