The final exam grade of a statistics class has a skewed distribution with mean of 79 and standard deviation of 8.2. If a random sample of 35 students selected from this class, then what is the probability that average final exam grade of this sample is between 76 and 82

Answers

Answer 1

Answer:

0.9696

Step-by-step explanation:

Given that:

Mean, m = 79

Standard deviation, s = 8.2

Sample size, n = 35

Probability that final exam grade of the sample is between 76 and 82

P(76 < x < 82)

P(x < 82) - P(x < 76)

Using the relation :

Z = (x - m) / (s/sqrt(n))

s / sqrt(n) = 8.2/sqrt(35) = 1.3860529

P(x < 82) - P(x < 76)

P[(82 - 79) / 1.3860529] - P[(76 - 79) / 1.3860529]

P(Z < 2.1644) - P(Z < - 2.1644)

Using the Z probability calculator :

0.98478 - 0.015217

= 0.969563

Hence, probability = 0.9696


Related Questions

The cost of a party is $250. The price per person is 13.50 how many people attend the party. ​

Answers

Answer:

18

Step-by-step explanation:

250 / 13.5 = 18.51

How are the concepts of markup and markdown related to the percent equation?

Answers

Answer:

Markup is how much to increase prices and markdown is how much to decrease prices. If we are given a markdown percentage, we multiply the percentage with the original price to find how much of a decrease we are getting, then we subtract this difference from the original price to find the marked down price.

Step-by-step explanation:

9514 1404 393

Explanation:

Markup is the name given to the difference between a cost price and a selling price:

  cost price + markup = selling price

Markdown is a name given to the difference between a list price or tag price and the actual selling price.

  list price - markdown = selling price

Markup and markdown are actual currency amounts. Often, sellers relate them to the cost price or the list price using percentages. That is, the percentage markup can be figured as ...

  percent markup = (markup)/(cost price) × 100%

Similarly, the markdown may be expressed as a percentage of the selling price:

  percent markdown = (markdown)/(selling price) × 100%

__

Additional comments

These representations as percentages are often used because a seller is usually interested in having a specific percentage return on money invested. By making the markup a specific percentage of the cost price, that return can be ensured.

Markdown percentages are often important to a buyer. They look for sales that offer a large percentage discount (markdown), sometimes not paying so much attention to the list price.

2/3 x 2/3 x 2/3 / = fraction

Answers

Answer:

8/27

Step-by-step explanation:

2/3 × 2/3 × 2/3

= 8/27

Answer: 0.4444 in decimal form

Step-by-step explanation:

At this point just give me the answer so I can move on lol I know how to work it but this one I can’t seem to get‍♀️

Answers

Answer:

888/155

Step-by-step explanation:

Answer:

x= 888/155

Step-by-step explanation:

What is the total length of all meteors that are 1 6/8 inches?

Answers

Answer:

3 4/8

Step-by-step explanation:

Which of the following must be true for the parallelogram shown below?

Answers

Answer:

DAB = BCD

Step-by-step explanation:

DAC = BAC = 90 degrees and DAB = ABC = 90 degrees don't work because they're both equilateral triangles and don't have a right angle that would equal 90. DAB = ABC are clearly not congruent so the answer is DAB = BCD. Also DAB = BCD share the same midsection line.

9. The side of a rectangle was 56 feet long. It is now 8 feet long. What was the scale factor was
used?
8 ft
56 ft

Answers

Answer:

56ft

Step-by-step explanation:

because 还是故事还是vs酒吧睡觉把书本上

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1

Why isn’t a good idea to study in bed?


Answer;
because you can get tired and start falling a sleep. their should be a place where you work with lights so you dont go to sleep.


100% edg

Answers

Why isn’t a good idea to study in bed?

Answer: Working or doing homework in bed will reduce one's focus because most people tend to associate their beds with comfort and sleep. Doing such activities in bed can lead to a deviation of the brain to become more lazy and possibly fall asleep.

Disadvantages of studying in bed includes issues related to posture and concentration. Hence, studying in bed often ;

Induces sleep and weariness

Inappropriate posture required for studying and assimilation.

A bed is primarily meant for sleeping while desks and chairs are made for studying. The difference in the build is due to the purpose of nature of each activity. Studying in an environment meant for sleeping would most likely induce sleep.

Similarly the structure or design of a bed isn't appropriate for studying and may likely affect the rate of assimilation.

Learn more :https://brainly.com/question/19119932

Find the value of each expression.
-22+5

Answers

The answer to -22+5 equals -17

Answer:

-17

Step-by-step explanation:

Factor out the negative sign

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger.

-(22 - 5)

Subtract

-(22 - 5) = - 17

In this figure triangles LMN and PQR are congruent

Answers

Answer:

6

Step-by-step explanation:

Since they are congruent, they would have the same length measures for their corresponding sides.

Write an Integer for each situation. Moving 5 spaces back on a game board

Answers

I think it would just be -5 Bc an integer is positive or negative and if you’re moving backwards it’s negative

Fill in the blanks


The number 2000 is__________times as much as the number 200.


The number 0.5 is_________as much as the number 5.

Answers

The number 2000 is 10 times as much as the number 200.

The number 0.5 is 1/10 as much as the number 5.

For both, they’re 10. 2000/200= 10 ; 5/0.5=10

What is the area of the composite figure? 13 cm 5 cm 2 cm O 70 cm2 0 100 cm2 O 105 cm2 O 130 cm2 5 cm 5 cm 14 cm​

Answers

Answer: b: 100cm^2

Step-by-step explanation:

took the test :)

The area of the composite figure that is formed from a rectangle and triangle is 100 cm²

Area of the composite figure

The area of the composite figure is the sum of the area of the whole figure.

Therefore, the composite figure can be divided into a triangle and a rectangle.

Hence,

area of rectangle = lw

where

l = lengthw = width

area of the rectangle = 14 × 5 = 70 cm²

area of triangle = 1 / 2 bh

where

b = baseh = height

Therefore,

area of a triangle = 1 / 2 × 12 × 5

area of a triangle = 30 cm²

area of the composite figure = 30 + 70 = 100 cm²

learn more on composite figure here: https://brainly.com/question/22999999

#SPJ5

The cost of renting a canoe to use on River Y costs ​$38. The cost of renting a canoe to use on River Z costs ​$4 per hour plus a ​$14 deposit. The total​ cost, c, of renting a canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same on both rivers.

Answers

Answer:

see the attachment

Step-by-step explanation:

The cost for River Y is a constant (not dependent upon hours), so is c = 41.

The cost for River Z is the sum of the deposit and the hourly cost, so is ...

 c = 13+4n

These equations and their graphs are shown in the attachment. The graphs cross where n=7, indicating you have to rent a canoe for 7 hours for the cost to be the same on both rivers.

Sheldon needs to buy 8 gallons of ice cream for a family reunion. The table shows the prices for different sizes of two brands of ice cream.

Answers

Answer:

theres no picture so how will we know

Step-by-step explanation:

post the picture first

How many tens equal 7000 ones ?

Answers

My answer was wrong, I'm am very sorry

There are 600 children in a Mathematics Club. 450 of them are boys and
the rest are girls. Find the percentage of the children in the Mathematics
21.
club who are girls.​

Answers

Answer:

25%were girls.

hope it helps..

25% shsjshsjddbdhsjjdjdbsnd

Which is the best buy?
A. 4 oz for $3.76
B. 6 oz for $5.70
C. 3 oz for $2.88
D. 2 oz for $1.92
Will mark brainliest pls help

Answers

I would say the answer is A hope u have a good day

Answer:

A.

Step-by-step explanation:

You divide prices by the number of oz to find out what the price is per ounce

John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What is the sale price? * A.$22.50
B.$65.00
C.$67.50
B.$112.50 ​

Answers

Can’t John solve this himself? He probably has a calculator on hand too.

Answer: C. $67.50

Explanation:

1. Convert 25% into a decimal (0.25)

2. Multiply 90 by 0.25 to get the amount of money discounted. (90x0.25=22.5=$22.50)

3. Subtract 22.5 from 90 to get the sales price. (90-22.5=67.5=$67.50)

Hiroshi found that 3/5 of his class prefers vanilla ice cream, 26% prefers chocolate ice cream, and 0.14 prefers strawberry ice cream. Put the numbers in order from least to greatest. Which kind of ice cream do the least number of students prefer?

help asappp!!!

Answers

Answer:

The kind of ice cream the least number of students prefer is Strawberry ice cream.

Step-by-step explanation:

We convert all given values to decimal

Hiroshi found that:

a) For vanilla ice cream

3/5 of his class prefers vanilla ice cream

3/5 to decimal = 0.6

b) For Chocolate ice cream

26% prefers chocolate ice cream

26% to decimal = 0.26

c) For strawberry ice cream

0.14 prefers strawberry ice cream

0.14 = 0.14

Arranging the numbers in order from least to greatest, we have :

0.14, 0.26 , 0.6

The kind of ice cream the least number of students prefer is Strawberry ice cream.

4. If two times a number increased by 5 equals 9, then find the number

Answers

2x + 5 = 9
2x = 4, x = 2
Solution: the number is 2

Answer: x = 2

Step-by-step explanation:

Let x represent the unknown number:

2x + 5 = 9

Subtract 5 from both sides

2x = 4

Divide both sides by 2

x = 2

how dose north america achieve 480VAC with 3 pole 120VAC

Answers

Answer:

There are a variety of factors driving the

adoption of 415/240VAC distribution. First,

distributing at these increased voltages

enables overall efficiency to be enhanced

by eliminating the need for a voltage

transformation along the power path. For

example, in a 415V system, the L-N voltage

is 240V, which is compatible with most all IT

loads. By shifting the UPS output distribution

voltage to 415/240 V three-phase (L-L/

L-N), most of the existing servers today can

be powered with 240V single-phase (L-N)

without any intermediate transformation.

Removing the need for a transformer

streamlines the power path and can increase

efficiency approximately 1.5 percent.

The adoption of a 415/240VAC distribution

model also can yield additional savings at

the device-level in the form of increased

efficiency for server power supplies. As

previously mentioned, today’s power

supplies can handle a wide range of incoming

voltages. Based on the actual voltage being

fed into the power supply, efficiencies can

range from as low as 80 percent (at 100V

nominal) to as much as 94 percent (at 240V

nominal) across all manufacturers.

Furthermore, while the typical efficiency

differential between 240V and 208V gained

at the server power supply today is a relatively

minimal, only 0.3 percent across most of

the load range, the efficiency differential

between 240V and 120V servers can be as

much as 2 percent for a given power supply.

It is this value that often gets overstated by

some manufacturers when comparing 415V

distribution to “traditional methods,” as

there are relatively few servers or peripherals

installed today that are operating at 120V.

Step-by-step explanation:

The circle below is centered at the point (4, 3) and has a radius of length 5.
What is its equation?

Answers

Answer:

[tex](x-4)^{2} + (y-3)^{2} = 5^{2}[/tex]

Step-by-step explanation:

Equation is circle is given as

[tex](x-x_1)^{2} + (y-y_1)^{2} =r^{2}[/tex]

Here [tex](x_1. y_1)=(4, 3)[/tex] and [tex]r=5[/tex]

Equation of circle with center at (4, 3) and radius 5 can be written as

[tex](x-4)^{2} + (y-3)^{2} = 5^{2}[/tex]

A farmer is going to divide her 30 acre farm between two crops. Seed for corn costs $15 per acre. Seed for wheat costs $30 per acre. The farmer can spend at most $750 on seed.If wheat brings in a profit of $110 per acre, and corn brings in a profit of $100 per acre, how many acres of each crop should the farmer plant to maximize her profit

Answers

Answer:

$3200

Step-by-step explanation:

The total area of land is 30 acre. Let x represent the area in acre that corn is planted and y represent the area in acre that wheat is planted. Therefore:

x + y = 30               (1)

Also, the farmer can spend at most $750 on seeds. Corn cost $15 per acre, maize cost $30 per acre. Hence:

15x + 30y ≤ 750      (2)

Also, x and y > 0

The profit is given by the function:

Profit = 100x + 110y

Graphing equation 1 and equation 2 and solving, we get the points:

(10, 20)

Hence the maximum profit is at:

Max profit = 100(10) + 110(20) = $3200

Help need this fast graphs

Answers

Answer:

Step-by-step explanation:

Positive linear :). It’s going in a higher of direction so when the Y value rises the of thIt’s going in a higher of direction so when the Y value rises the X value also rises

The type of match to use in a Vlookup() function to assess the resort fee as a possible additional cost for a particular room is: Group of answer choices A fuzzy match An approximate match An exact match None of the answer sections are correct

Answers

Answer:

An approximate match

Step-by-step explanation:

The vlookup (vertical lookup) function is a search function in excel used in locating values in an excel table.

The vlookup syntax is written as:

=VLOOKUP(value, table, col_index, [range_lookup])

The range_lookup is an optional parameter which is used to indicate if the search should be for an exact match or approximate match. Since a column, resort fee will be used as a possible additional cost; the search would be required to return an approximate search rather than an exact match in other for the search condition to be adequately implemented.

The type of match to use in a Vlookup() function to assess the resort fee as a possible additional cost for a particular room is

B. An approximate match

An Approximate Match

This refers to the possible cost when the Vlookup() function is used as it is used as a search function to find the values which are in a database table.

With this in mind, we can see that the syntax looks like:

VLOOKUP(value, table, col_index, [range_lookup])

Therefore, the correct answer is option B

Read more about approximate match here:

https://brainly.com/question/17125750

Identify the vertex of the function, Ax) = 3(x - 1)2 + 5.
O (-1,5)
(1,5)
O (5,-1)
O (5,1)
Which one?

Answers

Answer:

The third one I think, O (5,-1), but I'm not sure if I'm correct or not.

Step-by-step explanation:

Answer:

O(5,1)

Step-by-step explanation:

It's O(5,1) function

Can someone help me?

Answers

Answer:

DE/AB=12.5/5

DF/AC=3/1.2

EF/BC=6.5/2.6

look at picture and answer pls

Answers

Answer:

(3.2= the second line after 3) (4.7= the 7th line after 4)

Step-by-step explanation:

Simplify the expression.
2x+)+(+1 8x - 3

Answers

If there are no parentheses then 20x-3 but it is hard to understand where u were trying to put the parentheses
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