A university has 1,000 computers available for students to use. Each computer has a 250-gigabyte hard drive. The university wants to estimate the space occupied on the hard drives. A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the probability that a sample mean is between 111 and 119 gigabytes

Answers

Answer 1

Answer:

0.9545

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/standard error,

where x is the raw score

μ is the population mean

Standard error = σ/√n

n = random number of samples

σ is the population standard deviation.

For x = 111

z = (x-μ)/standard error

= 111 - 115/20/√100

= -4 /20/10

= -4/2

= -2

Probalility value from Z-Table:

P(x≤ 111) = P(x = 111) = 0.02275

For x = 119

z = (x-μ)/standard error

= 119 - 115/20/√100

= 4 /20/10

= 4/2

= 2

Probability value from Z-Table:

P(x≤ 119) = P(x = 119) = 0.97725

The probability that a sample mean is between 111 and 119 gigabytes

P(-Z<x<Z)

= P(-2< x < 2)

= P(x = 119) - P(x = 111)

= 0.97725 - 0.02275

= 0.9545


Related Questions

Determine the value of y, if x is 5.
y = x2-7

Answers

Answer:

y=3

Step-by-step explanation:

y= x*2-7    x=5

y= 5*2-7

PEMDAS states you do multiplication then addition

y= 10-7

y= 3

Hope this helps!

what is the answer? x+300=500 Will mark brainliest for high quality answers

Answers

Answer: x=  

3

500

​  

=166.667

Step-by-step explanation:

This deals with adding, subtracting and finding the least common multiple.

Hey there!

ANSWER: [tex]x=200[/tex]EXPLANATION:

[tex]x+300=500[/tex]

To solve this, we can just do 500 - 300.

[tex]500-300=200\\x=200(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Consider the expression 2 3 (14x − 3) − 3x( 4 5 + 5). Which statements are true about simplifying this expression? Check all that apply. Using the distributive property, the Two-thirds would be multiplied to 14x and to –3. Combining Four-fifths + 5 can be done before multiplying it by 3x. Using the distributive property, 3x times Four-fifths is subtracted, but the 3x times 5 is added. Combining 14x – 3 can be done before multiplying by Two-thirds. Subtracting 3x is the same as adding –3x.

Answers

Answer:

1. using the distributive property, the two-thirds would be multiplied to 14x and to –3. 2. combining four-fifths + 5 can be done before multiplying it by 3x. 3. subtracting 3x is the same as adding –3x. (A, B, & E)

Step-by-step explanation:

just finished this lesson lol

Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.

Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.

What is an Expression?

An expression is a mathematical statement consisting of variables, constants, and mathematical operators.

The expression is

[tex]\rm \dfrac{2}{3} (14x -3) - 3x( \dfrac{4}{5} +5)[/tex]

Applying Distributive Property

[tex]\rm \dfrac{2}{3} * 14x - \dfrac{2}{3} *3 - 3x * ( \dfrac {4 + 25}{5})[/tex]

Therefore, Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.

Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.

To know more about Expression

https://brainly.com/question/14083225

#SPJ2

The freeman family is barbecuing veggi burgers corn on the cobs and mushrooms caps in their local park if 3/8 of the items are barbecued are veggie burgers and 1/3 of the items are barbecued are corn on the cobs what fraction of barbecued items are mushrooms caps

Answers

so you need to figure out what number can both eight and 3 go into (24) and then you are going to see that eight times three is 24 for the denominator and then times the numerator by 3 for 9/24 and then do the same for the veggie burgers, (8/24) so then add 9/24 and 8/24 to get 17/24 and then do 24-17 for and answer of 7. so the answer is 7/24 of the barbecued items are mushroom caps.

Answer:

7/24

Step-by-step explanation:


Which input value produces the same output value for
the two functions on the graph?

X = -1
X = 0
X = 3
X = 4

Answers

Answer:

x = 4

Step-by-step explanation:

The input values are the x-values represented in the graph while the output values are the y-values.

The x-coordinate of the point at which the line of the two functions intersect, f(x) and g(x), is the input values that produces the same output values for both functions.

Thus:

For f(x), when x = 4, y = 3. That is f(4) = 3.

Also, for g(x), when x = 4, y = 3. That is g(4) = 3.

Therefore, the input values that produces the same output values for both functions is x = 4.

Answer:

D: x = 4

Step-by-step explanation:

just took the test :-)

You and a friend are sharing a swing. You have swung 11 times while your friend has swung twice as many times. Which of the following is a good estimation of how many more times your friend has swung than you?

Answers

Answer:

10

Step-by-step explanation:

Write -0.35 as a mixed number in simplest form

Answers

Step-by-step explanation:

[tex] \huge - 0.35 = - \frac{35}{100} = - \frac{7}{20} [/tex]

Please help please help

Answers

Answer:

1/9 is the correct answer Hope this helps!!

Step-by-step explanation:

Answer:

1/9 or .111111111111111

Step-by-step explanation:

8i to the power of 62

Answers

Answer: -8

Step-by-step explanation:

Below are the pre-image and image a trapezoid. Choose the correct name of the transformation used to create the image. Group of answer choices Reflection Rotation Translation

Answers

Answer:

I think it's a 90 degree rotation

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for black, 1/5 for yellow,1/15 for blue, and 1/10 for white. What is the probability of pulling a black or yellow card, written as a reduced fraction?

Answers

Step-by-step explanation:

P(black or yellow) = P(black) + P(yellow) − P(black and yellow)

P(black or yellow) = 1/25 + 1/5 − 0

P(black or yellow) = 6/25

help me plz 50 points and ill give brainliest if you answer all​

Answers

Answer:

11) [tex]2x=-4[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]

[tex]x=-2[/tex]

12) [tex]2^3\cdot \:2^1=2^{3+1}=2^4[/tex]

([tex]2^4=16)[/tex] if you wanted the exact value.

13) [tex]-3+10=x[/tex]

Switch sides:

[tex]x=-3+10[/tex]

Rearrange:

[tex]x=10-3[/tex]

[tex]x=7[/tex]

14) [tex]10^2-64[/tex]

[tex]10*10-64[/tex]

[tex]100-64[/tex]

[tex]36[/tex]

15) [tex]\sqrt{100}-5^2[/tex]

[tex]10-5^2[/tex]

[tex]10-5*5[/tex]

[tex]10-25[/tex]

[tex]-15[/tex]

16) [tex]\frac{1}{4}x=-10[/tex]

Multiply both sides by 4:

[tex]4\cdot \frac{1}{4}x=4\left(-10\right)[/tex]

[tex]x=-40[/tex]

17) [tex]\left(2^3\right)^2=2^{3*2}=2^6[/tex]

[tex](2^6=64)[/tex] if you wanted the exact value.

18) [tex]\left(2^3\right)\left(2^2\right)=2^{3+2}=2^5[/tex]

[tex](2^5=32)[/tex] if you wanted the exact value.

Bonus Question:

Terrorist attacks took place against the United States in September 11 2001.

This is named "September 11 attacks" and you can search more about it online.

Answer:

10. x = -2

12. 16

13. x = 7

14. 36

15. -15

16.  x = -40

17. 64

18. 32

Friday 9/11 The plane hijackings that struck the World Trade Center, the Pentagon, and a Pennsylvania field killed 2,977 people.

Step-by-step explanation:

Which of the following can be represented by the equation y=2x

Answers

What are the equations?

Answer:

table a

Step-by-step explanation:

because just look

Two pounds of sugar cost $1.40. How much sugar do you get per dollar? Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

1.429 lbs per dollar of sugar

Step-by-step explanation:

multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up

Based on the cost of two pounds of sugar, we can calculate the quantity of sugar to a dollar to be 0.7 pounds.

Sugar per dollar

You can find out the quantity of sugar you get per dollar using the formula:

= Price of sugar / Number of pounds

Solving gives

= 1.40 / 2

= 0.7 pounds

In conclusion, you get 0.7 pounds.

Find out more about cost per unit at https://brainly.com/question/24398532.

Juan ran the lemonade stand for 3 more days

Answers

Answer:

We need more information to be able to answer your question.

During a recent beetle infestation, two-thirds of the ash trees in the area were destroyed. If 130 trees were destroyed, how many ash trees were originally in the area?

Answers

195.

set this up as a proportion with 2/3 = 130/x
130 x 3 = 390
390 / 2 = 195

Answer:

195 Trees

Step-by-step explanation:

2/3 is just 2 of 3 parts

2 parts of the trees is 130,

so divide 130 by 2, and that's 65.

Since you know 65 + 65 is the same as 2 out of 3

Then just add 65 one more time to equal 195.

Since, 65*3 is the same as saying 1 * 3 parts

130 is equal to 2/3, so 195 is equal to 3/3.

Which of the following can not be used to express the number 8?
eight below zero
positive eight
+8
eight more than zero

Answers

Answer:

A positive number or a number that is greater than zero

Step-by-step explanation:

The football team has a total of 50 jerseys There are 30 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

60%

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

because 30/50 × 2 =60/100 =60%

The rose garden’s boundary can easily be turned over to create a mirror image of the garden’s shape. If Vincent reflects the original rose garden across the x-axis, what will the coordinates of the rose garden’s vertices be after the reflection? Use the terms A', B', C', and D'.

Answers

Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)

Step-by-step explanation:

Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).

*edmentum answer*

please help me solve this math problem, tryna graduate here

Answers

Answer:

141°

Step-by-step explanation:

Dana saved 450 for food for her upcoming vacation. The breakfast was included with their hotel, but lunch and dinner are not. When Dana cooks lunch or dinner it costs on average 10 . When the family goes to a restaurant for lunch or dinner it costs on average 40 . Let c represent meals that Dana cooks and let r represent meals the family goes to restaurants for. Write an inequality to represent the situation.

Answers

Answer:

[tex]10d + 40r \leq 450[/tex]

Step-by-step explanation:

Given

[tex]Savings = 450[/tex]

[tex]Dana\ Cooks, d = 10[/tex]

[tex]Restaurant, r = 40[/tex]

Required

Represent this as an inequality

When Dana cooks;

[tex]Cost\ per\ meal = 10[/tex]

[tex]Cost\ per\ d\ meals = d * 10[/tex]

[tex]Cost\ per\ d\ meals = 10d[/tex]

At Restaurant

[tex]Cost\ per\ meal = 40[/tex]

[tex]Cost\ per\ r\ meals = 40 * r[/tex]

[tex]Cost\ per\ r\ meals = 40 r[/tex]

Add these two results:

[tex]Result = 10d + 40r[/tex]

To represent as an inequality, the above result must be less than or equal to Dana's total savings

i.e.

[tex]10d + 40r \leq 450[/tex]

Find the intercepts of the equation.
4x + 7y = - 84

Answers

x-intercept is (-21,0)
y-intercept is (0,-12)

To find the x and y intercepts, we have to plug 0 into x and y respectively.

4(0) + 7y = -84

Simplify.

7y = -84

Divide both sides by 7

y = -12

The y-intercept = (0, -12)

4x + 7(0) = -84

Simplify.

4x = -84

Divide both sides by 4

x = -21

The x-intercept = (-21, 0)

Find two consecutive whole numbers that 56 lies between.
(NEED ASAP PLEASE !!)

Answers

the 56 whole number
Do u have a imagine of the problem :)

Find the extraneous solution of the equation |4x−42|=−10x.

Answers

Answer:

x=3 is the extraneous solution

Step-by-step explanation:

|4x-42| = -10x

Since it's absolute value and we know that there are two possibilities, we need two equations to set up to solve for x.

1st equation:

4x - 42 = -10x

2nd equation:

4x - 42 = 10x

Solve both equations for x:

1st equation:4x - 42 = -10x14x-42 = 014x=42x = 32nd equation:4x-42=10x-6x-42=0-6x=42x=-7

Plug in both values for x in the original equation to find the extraneous solution:

x=-7

|4x-42|=-10x|4(-7)-42|=-10(-7)|-28-42|=70|-70|=7070=70

x=3

|4x-42|=-10x|4(3)-42|=-10(3)|-30|=-3030≠-30

I bought three pencils costing 18 cents each. how much change did I get from $1​

Answers

Answer:

15 pencils

Step-by-step explanation:

18c/3

x/1

cross multiply then divide

Answer:

46 cents

Step-by-step explanation:

18 x 3 = 54

100 - 54 = 46

A candy jar has 24 candies. One-third of the candies are chocolate of the leftover candies, half are gummy bears and the other half is skittles. How many skittles are in the jar

Answers

Answer:

8

Step-by-step explanation:

one third of 24 is 8 and then you have 16 leftover so you divide 16 by 2 and you will get 8

Maggie's brother is 8 years younger than twice her age. The sum of their ages is 25.
How old is Maggie?
Maggie is
years old.

Answers

Answer:

the sum is 25 not 24?

Step-by-step explanation:

7. In name the bisected angles 1 and 2. If is 4x  3y, can be determined in terms of x and y? If so, state in terms of x+ y expression and explain your reasoning.

Answers

Answer:since there is no diagram i will answer to the best of my ability.

Step-by-step explanation:

If an angle is bisected then it is divided into 2 equal angles which i think they are naming 4x and 3y. In this case, 4x=3y. Solving for x, we get x= (3y)/4. Solving for y we get y= (4x)/3. Now if we substitute (4x)/3 for y in the equation x= (3y)/4 then x= (3(4x)/3)/4 = 4x/4=× so then we can say x÷y = measure of original angle that was bisected. Or znother way it can be said is x+y = 2x or x+ y =2y.

At a school there are six lessons in a day.
In total, the six lessons last for five hours.

Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?

Answers

Answer:

the answer is about 50 minutes

Step-by-step explanation:

5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins

-does anyone understand Stand this also does anyone else need help

Answers

Answer:

I think its j

Step-by-step explanation:

Answer: Choice F) [tex]x \le -5[/tex]

====================================================

Explanation:

One long rectangle represents x. Four of them represent 4x

One tiny unshaded square represents a unit 1. Specifically this value is positive. We have 2 columns and 6 rows, so there are 2*6 = 12 tiny squares.

So the stuff in the first box (the four long rectangles and the 12 tiny unshaded squares) represent the expression 4x+12

The stuff in the second box is -8 since we have 8 shaded squares each shaded square being -1.

----------------

The inequality we need to solve is [tex]4x+12 \le -8[/tex]

We'll subtract 12 from both sides, then divide both sides by 4 to fully isolate x

This is what the steps would look like:

[tex]4x+12 \le -8\\\\\\4x+12-12 \le -8-12 \ \text{ subtract 12 from both sides}\\\\\\4x \le -20\\\\\\\frac{4x}{4} \le \frac{-20}{4} \ \text{ Divide both sides by 4}\\\\\\x \le -5\\\\\\[/tex]

The inequality sign does not flip since we did not divide both sides by a negative number.

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