A soft drink machine outputs a mean of 24 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 18 and 30 ounces

Answers

Answer 1

Answer:

The probability is 0.9545

Step-by-step explanation:

We start by using z-scores here

Mathematically;

z-score = (x-mean)/SD

mean = 24 ounces

SD = 3 ounces

For 18, we have

z-score = (18-24)/3 = -6/3 = -2

For 30, we have

z-score = (30-24)/3 = 6/3 = 2

So the probability we want to calculate is;

P( -2 < x < 2)

We can use the standard normal distribution table for this

From the standard normal distribution table;

P(-2 < x < 2) = 0.9545


Related Questions

Ashley has $20 to play games at the arcade. If each game cost .50 cents how many games can she play?

Answers

Answer: 40 games

Step-by-step explanation: 20/0.5=40

2/3 of a pizza was left over. A group of friends divided
the leftover pizza into pieces each equal to of the
original pizza. After each friend took one piece, of
the original pizza remained. How many friends were
in the group?

Answers

Answer:

4 friends were I'm the

Step-by-step explanation:

i think

3x + 8 = -1/2(2x + 4)

Answers

your answer would be X = -5/2

Find the value of x that makes lines u and v parallel. ​
Please help!

Answers

-1 + 9x = 8x + 9

1x = 10

x = 10

The value of x is 10.

Please help! Don't comment if you don't know it. Please.

Answers

Answer:

So what are you trying to figure out bc I may be able to help

Philip is allowed to watch 2 hours of television each day Monday through Thursday and 4 hours of television each day Friday through Sunday. Which of the following equations can be used to calculate the number of hours of television Philip is allowed to watch in x weeks?

Answers

Answer:

x(4 × 2) + x(3 × 4)

Step-by-step explanation:

The question says "which of the following equations" which infers you have already been given options. However, none were provided in the question so my answer may be slightly different than the given options as there's several ways to solve this problem.

Monday through Thursday = 4 days × 2 hours per day

Friday through Sunday = 3 days × 4 hours per day

To find the total for one week, add the two expressions together:

(4 × 2) + (3 × 4)

The question states for "x weeks" so:

x(4 × 2) + x(3 × 4)

This is one way the equation can be written

Another way is:

x[(4 × 2) + (3 × 4)]

If neither of these are answers for your mutliple choice question, then please provide the options and I will let you know which is correct

Camila’s box holds 363 balls. Each layer has 33 balls. How many layers does the box have?

Answers

Answer:

The box has 11 layers

Step-by-step explanation:

Since there are 363 balls and each layer has 33 balls, we have to divide 363 by 33.

363÷33= 11

So, there will be 11 layers in the box.

Hope this helps!

Solve for x.
2x-1+12=6x+3

Answers

Answer:

es pepo cumbia

o PVP TU PON LA SALA Y YO LA HUMILLACIÓN

Answer:

2x-1+12=6x+3

X = 2

Explain:

2x-1+12=6x+3

2x+11+6x+3

( 2x+11 )+(-11-6x)=(6x + 3) + (-11  - 6x)

so that means

X=2

-4x+7=2y-3 ordered pair

Answers

Answer:

its 2112121211111111111111111111111111111111111111

Step-by-step explanation:

1r

What is the value of x? X- 1/6 = 8

Answers

Answer:

wouldn't it just be 8 and 1/6?

Step-by-step explanation:

because 8 1/6 - 1/6 would be 8

A line contains the points 6,23 and 12, 39 what is the slope of this line

Answers

8/3

You use the slope formula

Y2-Y1
———
X2-X1


Plug in our numbers

39-23 16 8
——— = — = —
12-6 6 3

We simply slice then simplify to get our answer which is

8

3

0.01 is 1/10 of what?

Answers

Answer:

0.1

Step-by-step explanation:

multiply 0.01 by 10 and then you get the answer

The number is 0.1.

what is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

given:

0.01 is 1/10

let the number be x

x of 1/10 = 0.01

x* 1/10= 0.01

x= 0.01*10

x=0.1

Hence, the number is 0.1

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Complete the steps to find the value of X
PLZ HELP LOTS OF POINTS!!

Answers

Step-by-step explanation:

72° + (7x + 24) = 180

7x + (72 + 24) = 180

7x = 180 - 96

7x = 84 divide both sides by 7

x = 12

I’ll mark you as brainliest if correct!

Answers

Answer:

1.

Step-by-step explanation:

Plug -2 in for x for both functions.

[tex]2(-2)^{2} + 4 = 12\\-4(-2) + 3 = 11\\[/tex]

Now, subtract the two functions (f-g) (aka (f(x) - g(x))

12 - 11 = 1

The answer is 1.

If (3x2 – 5x + 5y - 2) is subtracted from (2x” + x - 1), what is the coefficient of x in the result?
O A. 2
OB. 6
OC. 4
OD. -1

Answers

Answer: 4

Explanation: -5x + x = -4x

Solve ab - c= d for a

Answers

Answer:

a=(d+c)/b

Step-by-step explanation:

a*b-c=d

a*b=d+c

a=(d+c)/b

Answer:

c+d /b

Step-by-step explanation:

A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges? Think: how much will 1-lb of oranges cost?
A c = 1.25p B p = 1.25c
C c = 3.75p D p = 3.75c

Answers

Answer:

A

Step-by-step explanation:

It’s not B, because it’s saying each pound is 1.25 multiplied by the cost. We are looking for the cost, not the amount of pounds.

it isn’t C, because the oranges are sold in 3 pound bags, and the equation is comparing the cost of a 3 pound bag to 1 pound of oranges.

And it isn’t D, because D does the same thing as B, but with The cost of a 3 pound bag.

An equation is formed of two equal expressions. The correct option is A, c=1.25p.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the farm stand sells oranges in 3-lb bags for $3.75. Therefore, the cost of the oranges for a pound is,

Cost of a pound of oranges = $3.75 / 3

                                              = $1.25

Now, if the cost,c for p pounds of oranges is,

Cost, c = Cost of a pound of oranges × Number of pounds

            = $1.25 × p

      c = 1.25p

Hence, the correct option is A, c=1.25p.

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Which function is graphed?
y=3 cot(x) + 2
y = 3 cot(x+3)
y = 3 tan(x)+2
y = 3 tan(x+2)

Answers

Answer:

y = 3 tan(x)+2

Step-by-step explanation:

The function y = 3 tan(x)+2 is shown in the provided graph option 3th is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The missing figure is in the picture refer to the picture.

As we have a trigonometric function.

In the picture, the graph of a tanx is shown but 2 units up.

Thus, the function y = tan(x) + 2 is shown in the provided graph option 3rd is correct.

Learn more about trigonometry here:

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Need Help. ( Look at the picture). Will Mark Brainliest. Graph the step function over the interval. [ Please Show me on paper].​

Answers

Answer:

x = -3

Step-by-step explanation:

f(x)= x + 3

0 = x + 3

-x = 3

x = -3

What is 127x 958/ 3 x 35+67-9+12/2 (-25)=

Answers

Answer:

The answer to that is 1419344.66667

Step-by-step explanation:

Given m||n, find the value of x.
1580
70

Answers

Answer:

x=22

Step-by-step explanation:

180-158=22

22 good luckkkk!!!!

What is the largest three-digit number divisible by 5, 6, and 21?

Answers

Answer:

840

Step-by-step explanation:

You can divide by 5 and get 168

840/6 = 140

840/21 = 40

Answer:

The largest 3 digit number divisible by 5, 6, & 21 is 840.

Graph -9.2 + 5y = 45.

Answers

X intercept: (-4,0)
Y intercept : (0, 4/3)

A train goes at a constant speed. If it covers 150 miles in 2 1/2 hours. What distance will he cover in 3 hours?

Answers

Answer:

180 Miles?

Step-by-step explanation:

First divide 150 by 2 1/2 (or 2.5)

You'll end up with 60

Then times it by the amount of hours (3)

60 x 3 = 180

I believe this is the answer; if I am wrong, deepest apologies.

Help
8th grade math
And I’m Loki dum

Answers

Answer:

(0,5) or 5

Step-by-step explanation:

the y intercept is the point where the line crosses the y-axis. given this info, its given that the y intercept would be 5, or (0,5) in coordinates ^_^

Answer:

0,5

Step-by-step explanation:

So this is actually simpler than it looks. All you have to do is see what point starts out with the x coordinate at zero. The center of the graph is 0,0, so the y intercept is 0,5 because that is the first graph of y.  The order is 0,5 1,6 2,7 so on and so on. Hope my explanation made sense. There is a reason why I'm not a teacher. Lol.

Find the value of f(2).
y = f(x)
10
8
6
4
-10
-8
-6
-4
-2
2
4
6
8
10
-2
4
-6
-8
-10

Answers

Answer:

the answer is d

Step-by-step explanation:

no explanation i did it before lol

Find the slope and the y-intercept of the line.
y=8x-9

Help please

Answers

Answer:

slope=8

y intercept=-9

Step-by-step explanation:

the equation is in the form y=mx+b

where m is the slope and b is the y intercept.

The mean cost to repair the smoke and fire damage that results from home fires of all causes is $11,389 (HomeAdvisor website, December 2014). How does the damage that results from home fires caused by careless use of tobacco compare? The DATAfile named TobaccoFires provides the cost to repair smoke and fire damage associated with a sample of 55 fires caused by careless use of tobacco products. Using past years' data, the population standard deviation can be assumed known with σ = $3,027.

Answers

Answer:

The alternative is characterized in the interpretation section following the table, as per the case mentioned.

Step-by-step explanation:

According to the question:

The sample mean will be:

⇒ [tex]\bar{x}=\frac{\Sigma x}{n}[/tex]

      [tex]=\frac{1050500}{55}[/tex]

      [tex]=19100[/tex]

The critical value of z ([tex]z_e=1.96[/tex]) seems to be the 95 % confidence interval. So the required confidence interval will be:

=  [tex]\bar{x} \ \pm \ x_{critical}\frac{\sigma}{\sqrt{n} }[/tex]

= [tex]19100 \ \pm \ 1.96.\frac{3027}{\sqrt{25} }[/tex]

= [tex]19100 \ \pm \ 800[/tex]

Consequently, the average cost of repairing flames and smoke injury can outcomes from household fires started by careless tobacco is therefore estimated at quite a 95 percent confidence interval ($18300, $19900). The 95 percent confidence interval indicates that the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.

The 95% confidence interval is ($18300 , $19900) and according to the confidence interval, the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.

Given :

The mean cost to repair the smoke and fire damage that results from home fires of all causes is $11,389.Sample size, n = 55.The population standard deviation can be assumed known with σ = $3,027.

First, find the sample mean by using the following formula:

[tex]\rm \bar{x}=\dfrac{\sum x}{n}[/tex]

[tex]\rm \bar{x}=\dfrac{1050500}{55}[/tex]

[tex]\rm \bar {x} = 19100[/tex]

Now, for 95% confidence level, the confidence interval will be:

[tex]= \rm \bar{x} \pm x_{critical} \dfrac{\sigma}{\sqrt{n} }[/tex]

[tex]\rm = 19100\pm 1.96\times \dfrac{3027}{\sqrt{55} }[/tex]

[tex]=19100\pm 800[/tex]

The 95% confidence interval is ($18300 , $19900).

According to the confidence interval, the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.

For more information, refer to the link given below:

https://brainly.com/question/20747890

HELP!!! GIVING BRAINLEST

Answers

Answer:

It’s to blurry for me ☹️

Step-by-step explanation:

I need my glasses

What is the area of a triangle with vertices at (-3,3), (2, 3), and (4,7)?
5 square units
10 square units
20 square units
40 square units

Answers

Answer:

Choice B

Step-by-step explanation:

The area of the triangle is 10 square units, the correct option is B.

What is a Triangle?

A triangle is a polygon with three sides, angles, and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of equality of the length of the sides.

The vertices of the triangle are at:

(-3,3), (2, 3), and (4,7).

The area of the triangle has to be determined.

The length of the sides will be calculated using the distance formula.

side 1 = [tex]\rm \sqrt { (3-3)^2 + ( 2 +3)^2}[/tex] = 5 units

side 2 = 2√5 units

side 3 = √65 units

The height of the triangle is determined by calculating the distance from (4, 7) to (4, 3).

The height of the triangle = 4 units

The area of a triangle is given by,

A = (1/2) * base * height

A = (1/2) * 5 * 4

A = 10 square units

To know more about Triangle

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