Given that one standard deviation below the mean is 24 and one standard deviation above the mean is 31, what is the mean l?

A)55
B)34
C)27.5
D)28

Answers

Answer 1

Answer:

C. 27.5

Step-by-step explanation:

since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.

we would first subtract the two values

31-24 = 7

we would then divide that number by 2 since we are finding the average between the two numbers

7/2 = 3.5

using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)

24+3.5 = 27.531-3.5 = 27.5

since both calculated numbers were equal, we know that we calculated the mean correctly.


Related Questions

What is the volume of a square pyramid that has a base lengthof 5" and a height of 9"__cubic inches

Answers

75 in is the answer

Arlene buys a phone case and charging cord for 15% off. The original cost of the phone case is $18. Her total discount is $4. 20.


Write and solve an equation to find the original price of the charging cord, x

Answers

The equation to find the original price of the charging chord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

Let the price of the phone case is x.

And the price of the charging cord is y.

Discounted price for phone case:  15% of x = 0.15x

Discounted price for charging cord = 0.15y

Now, according to the question, the total discount is $4. 20

⇒0.15x + 0.15y = 4.20

⇒0.15 * 18 + 0.15y = 4.20

⇒2.7 + 0.15y = 4.20

⇒0.15y = 4.2 - 2.7

⇒y = 1.5/0.15

⇒y = $10

Therefore the equation to find the original price of the cord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

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Donny is raising money for the school charity drive by mowing lawns for $9.75 per lawn. How much will he raise for the drive? its a liner equation.

Answers

Answer:

y = 9.75x

Step-by-step explanation:

y = the money earned

x = number of lawns.

The answer is 78 because according to my calculations George Washington is right

How many solutions does the system of equations below have?

y = -5x + 9
y = -5x + 9

A) no solution
B) one solution
C) infinitely many solutions

Answers

Answer:

C

Step-by-step explanation:

They are both the same equation

Answer:first answer

Step-by-step explanation:

In a math question, Magda correctly answered a question that asked for a typical measure of orange juice in a full family-size jug. Which was her answer

Answers

Magda said the typical measure of orange juice in a full family-size jug is 1 gal in value.

What is meant by mathematical expression?

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

The complete question is : In a math question, Magda correctly answered a question that asked for a typical measure of orange juice in a full family-size jug. Which was her answer?

a. 2 cups

b. 1 gal

c. 10 gal

d. 10 fl oz

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What is the smallest four-digit palindrome that is divisible by 4? (A palindrome is a number that reads the same forwards and backwards, like 61216.)

Answers

Answer:

1004 is the smallest four-digit palindrome that is divisible by 4.

2x+5=x+9
3x +2= 2 x +7

Answers

Answer:

explain?

Step-by-step explanation:

help help help plssssss

Answers

Answer:

SA = 108π cm²

Step-by-step explanation:

The surface area (SA) of a sphere is calculated as

SA = 4πr² ( r is the radius )

Thus the SA of a hemisphere is

SA = [tex]\frac{1}{2}[/tex] × 4πr² = 2πr²

The area of the circular base = πr²

Then total SA is

SA = 2πr² + πr² = 3πr² = 3π × 6² = 3π × 36 = 108π cm²

The table shows lunch
preferences recorded in a
school cafeteria.
What is the relative
frequency of a female
preferring chicken for lunch?
A) 42%
B) 16%
C) 20%
D) 55%

Answers

Answer:

D

Step-by-step explanation:

The ages of the players of the junior football team in years are 11,11,13,13,12,13,11,12,10,13 find the median age

Answers

Answer:

12

Step-by-step explanation:

11, 11, 13, 13, 12, 13, 11, 12, 10, 13

Put the numbers in ascending (increasing) order.

10, 11, 11, 11, 12, 12, 13, 13, 13, 13

If there is an odd number of numbers, the median is the number in the middle.

There are 10 numbers which is an even number of numbers.

For an even number of numbers, the median is the mean of te two middle numbers.

10, 11, 11, 11, 12, 12, 13, 13, 13, 13

The two middle numbers are 12 and 12.

The mean of 12 and 12 is (12 + 12)/2 = 12

Answer: 12

How do you find the slope of x =- 4?

Answers

The slope of x= -4 is unidentified.

The x= -4 is a vertical line and slope cannot be found.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. [1] The letter m is frequently used to represent slope; the reason for this usage is unclear, although it may be found in O'Brien's (1844)[2] and Todhunter's (1888][3] formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope.

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What is the volume of the composite figure? Leave the answer in terms of pi.

Answers

Answer:

33 pi

Step-by-step explanation:

113.1/2 = 56.55

56.55 + 47.12 = 103.67

103.67/ pi = 33

During the afternoon, an 18-foot tall tree casts a
shadow 25 feet long.
What is the approximate angle of elevation from the
end of the shadow to the top of the tree with respect
to the ground?

Answers

Using the slope concept, it is found that the approximate angle of elevation from the end of the shadow to the top of the tree with respect to the ground is of 35.75º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change.

It's also the tangent of the angle of depression.

In this problem, the vertical change is the height of the tree, of 18 feet, while the shadow of 25 feet is the horizontal change, hence:

[tex]\tan^{\theta} = \frac{18}{25}[/tex]

[tex]\theta = \tan^{-1}{\frac{18}{25}}[/tex]

[tex]\theta = 35.75[/tex]

The approximate angle of elevation from the end of the shadow to the top of the tree with respect to the ground is of 35.75º.

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Find the area. Simplify your answer.

Answers

Answer:

x^2+x-2

Step-by-step explanation:

To calculate the area of the shape we need to multiply height to the base

(x-1) * (x+8) = x^2+7x-8

What is the volume of the prism?

10 cubic inches
20 cubic inches
40 cubic inches
80 cubic inches

Answers

Answer:

20 cubic inches

Step-by-step explanation:

[tex]1 * 4 * 5 = 20[/tex]

In the figure below, what is m∠2if m∠4 = 120°?

Answers

aaaaaaaaaaaaaaaaaaaaaaaa

Use point-slope form to find the equation of the line with a slope of
[tex] - \frac{1}{2} [/tex]
Express your answer in slope-intercept form. that passes through the point (6,-4)?​

Answers

Answer:

y = -1/2 x - 1

Step-by-step explanation:

The expression in point-slope form is expressed as;

y-y0 = m(x-x0)

(x0,y0) = (6, -4)

slope m = -1/2

Substitute into the formula

y-(-4) = -1/2(x-6)

y+4 = -1/2(x-6)

2(y+4) = -(x-6)

2y+8 = -x+6

2y = -x+6-8

2y = -x-2

y = -1/2 x -2/2

y = -1/2 x - 1

Hence the answer in slope-intercept form is y = -1/2 x - 1

write an equation that expresses the following relationship p varies derectly with d and inversly with the square of u. In your equation use k as the proportionality

Answers

P= kd/u^2 is the equation which expresses the following relationship p varies derectly with d and inversly with the square of u.

What is Equation?

Equation is a mathematical statement that expresses the equality of two expressions. An equation is written as an expression containing an equal sign, with each side of the equal sign representing a mathematical expression. The purpose of an equation is to show the relationship between two or more variables, such as a change in one variable resulting in a change in another. Equations are used to solve problems in mathematics, physics, economics, and many other fields.

The equation states that p is directly proportional to d, and inversely proportional to u squared. This means that as d increases, p increases, and as u increases, p decreases. The constant of proportionality, k, is a measure of the strength of the relationship between p, d, and u.

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please help me figure this out

Answers

Answer:

me mataste

Step-by-step explanation:

Where is Point B on the number line? ?? im Stuck on this ????? ​

Answers

Answer:

-0.4

Step-by-step explanation:

............................

Solve for x.

A) 0.9
B) 160
C) 10
D) 1.1

Answers

Answer:

C .10

Step-by-step explanation:

C because it’s 10 in most cases

Factor the expression completely.
x^4-17x^2+72

Answers

Step-by-step explanation:

x^4-9x^2-8x^2+72

x^2(x^2-9)-8(x^2-9)

(x^2-8)(x^2-9)

(x^2-8)(x+3)(x-3)

A circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 4 m wide. Find
the area of the sidewalk in square meters. Use 3.14 for Pi
The area of the sidewalk is ____ m2.

Answers

Answer:

17m2

i think it is a right answer

Area of the circular sidewalk around flowerbed is 314 m² .

What is area?

Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.

Given,

Diameter of flowerbed = 21m

radius = diameter/2 = 21/2 = 10.5 m

Area of flower bed A

= πr²

= 3.14(10.5)²

= 3.14(110.5)

= 346.185 m²

width of the sidewalk = 4m

radius of flower bed with sidewalk = 10.5 + 4 = 14.5m

Area of flower bed with sidewalk A'

= 3.14(14.5)²

= 3.14(210.25)

= 660.185 m²

Area of the sidewalk

= A' - A

= 660.185 - 346.185

= 314 m²

Hence, 314 m² is area of the circular sidewalk around flowerbed.

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Neegan paddles a kayak 21 miles upstream in 4.2 hours. the return trip downstream takes him 3 hours. what is the rate that neegan paddles in still water? what is the rate of the current?

Answers

The speed of Neegan paddles in still water will be 6 miles/Hr, while the rate of the current will be 1 mile/Hr.

Neegan paddles a kayak 21 miles upstream in 4.2 hours.

As he is moving in Upstream, so during returning the flow will be downstream

Downstream refers to the direction of the flow's termination, which is at the other end of the canal from the source. You are travelling upstream, for instance, if you are sailing from Kingston to Toronto. You are travelling downstream if you are moving from Kingston to Cornwall.

Let the speed of Neegan paddles in still water = x miles/Hr.

Let the rate of the current be = y miles/Hr.

As Speed = Distance/Time

So, for Upstream speed, Speed will be = x-y

For downstream, the speed will be = x+y

From question,

(x-y) = 21/4.2 = 5-----(i)

(x+y)= 21/3 = 7 -----(ii)

Solving (i) and (ii)

2x = 12

=> x = 6

So, the value of y (From (i), will be = (x-5) = 6-5 = 1

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Solve the expression below, when x = 8
(x - 4) + 12

Answers

Answer:

16

Step-by-step explanation:

Lets solve this step by step,

First we insert 8 in x's place:

(8 - 4) + 12

Now we solve:

8 - 4 = 4

(4) + 12

4 + 12 = 16

Answer: 16

Hope this Helps

A building with a height of 48 meter casts a shadow that is 30 meter long. A person standing next to the building casts shadow that is 0.8 meter long. How tall is the person

Answers

The height of the person is approximately 0.426 meters or 42.6 cm.

We can use the concept of similar triangles to solve this problem. The height of the building and the length of its shadow form a right triangle, with the height as the opposite side and the shadow as the hypotenuse. The person and their shadow also form a similar right triangle, with the height of the person as the opposite side and the shadow as the hypotenuse.

We can set up the following proportion:

(Height of building)/(length of shadow) = (height of person)/(length of shadow)

48/30 = h/0.8

Solving for h, we get:

h = (48/30) * 0.8 = 0.533 * 0.8 = 0.426

Therefore, the height of the person is approximately 0.426 meters or 42.6 cm.

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COME TO THIS QUESTION GIVES BRAINLIEST FOR FIRST GOOD ANSWER!
Can someone please explain this problem to me. It's only one probability problem for 30 points. Please no bad answers like I don't know, sorry I thought know, give me a moment, etc. No links please and please know what you are doing because sometimes Brainly decreases my grade instead of increases it. Thank you, correct answer gets brainliest!

Answers

Answer: 6 passwords

Step-by-step explanation:

When a calcium atom forms an ion, it loses two electrons. what is the electrical charge of the calcium ion? responses −2 negative 2 −1 negative 1 1 1 2

Answers

When a calcium atom forms an ion, it loses two electrons. The electrical charge of the calcium ion is +2

What do you meant by electrical charge of a calcium ion?

Calcium ions are net positive two charges. In calcium, when it has assumed its most stable state, the relationship between the quantity of protons (20) and the quantity of electrons (18) is represented by the +2 charge.

In the event that calcium (Z = 20) picks up two electrons, the resultant ion will have 18 electrons and 20 protons, giving it a charge of +2. (two more positive protons than negative electrons). It's a cation, this ion. Using the Ca2+ symbol, we can identify a calcium ion.

Atoms that lose electrons acquire a positive charge as there are fewer electrons left with negative charges to balance the positive charges of the protons in the nucleus. Positively charged ions are known as cations.

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What is the relationship between the circumference of a circle and its diameter?

A. The diameter is about 3 times the circumference.

B. The circumference is a little more than 3 times the diameter.

C. The diameter is about half the circumference.

D .It depends on the circle.

Answers

Answer:B

Step-by-step explanation:

Find a circle. Measure the diameter and circumference.

You can use a tape measure, a piece of string or roll the circle along a ruler.

In every case you will find the circumference is a little more than three times bigger than the diameter.

The more accurate your measurements are, the closer you will get to pi = 3.14159...

Answer is B I think

what is −809 in radians? I tried -809pi/180 but it was marked incorrect

Answers

Answer:

-14.120 Radians

Step-by-step explanation:

To convert, use this angle degrees to radians formula:

Radians = Degrees x ( Pi / 180)

Try using this formula

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A 3-column table with 5 rows. The first column is labeled State with entries Florida, Michigan, New York, California, Texas. The second column is labeled Republican Primary with entries 12. 8%, 16. 5%, 1. 4%, 22. 9%, 12. 8%. The third column is labeled General Election with entries 63. 5%, 64. 7%, 53. 1%, 55. 2%, 49. 7%. Look at the table. What information is missing from the table that could help someone draw the most accurate conclusion about voter turnout in primaries and general elections?the year in which this election took placethe candidates running for President*the percentage of Democratic primary votersthe states of New Jersey and Arizona Exercise 4 Unit 1 - Writing Effective Sentences Classify each of the following sentences as simple, compound, complex, or compound- 1. During the late 1800s, H.J. Lewis drew political cartoons for The Free man, which was the first illustrated African American newspaper. 2. Through his cartoons, Lewis frequently criticized the U.S. government's racial policies; however, he also produced nonpolitical ink drawings, sketches, and chalk plates. 3. If you examine the following self-portrait of Lewis, you can see evidence of his artistic versatility, and you can get a sense of the atmosphere in which he worked. Lewis was born into slavery in Mississippi, and he was blinded in one eye and badly 4. burned when he was a toddler. 5. As a young man he worked at various menial jobs until a Little Rock newspaper artist taught him how to draw. 6. Lewis made sketches for archaeological studies in Arkansas, Mississippi, Tennessee, and Louisiana in 1882 and 1883. 7. Throughout his life, Lewis produced drawings for various publications. 8. Upon Lewis's death in 1891, The Freeman, the newspaper that had made him famous, praised his talent and mourned his loss. Exercise 5 Dry ice is solid carbon dioxide that is used in the transport of food and medicine. dry ice becomes a gas at 78.5c without becoming a liquid first. what change of state is being described? A man can do 1/2 part of a work in 1 hour 50 minutes. How many hours and minutes does he take to complete the whole work? The figure below is divided into 100 squares of equal size.What percent of the figure is shaded? Jin is a world-renowned toxicologist. He is sometimes called in to zoos, wildlife refuges, and other facilities to help when an animal is sick. For which situation would Jin MOST likely be asked to consult? A. an aviary has an outbreak of polyomavirus among their macaws B. a herd of wild buffalo began to exhibit vomiting after spending time in a valley C. a circus has an elephant that is nearing the end of a difficult pregnancy D. a city zoo has an 89-year-old tortoise that shows signs of gout in what tissues, cells and organ does ependymoma first start PLEASEEEEEEE HELP GUYS THIS MY FIRST BTOLOGY CLASS!! 2 How is the number of Electoral College seats per state determined? A. by the number of party delegates assigned to the state B. by the total number of Summarize what the speaker is saying in the first stanza of "The Little Boy Found. " Use details from the poem to write two or three sentences explaining what has happened to the little boy in the second stanza. Support your understanding both from ideas that are directly stated and ideas that you have inferred from clues in the text. This question is in studysync and is with the poem The Little Boy Lost/The Little Boy Found 8.How do animal and plant viruses acquire an envelope?A.They synthesise it.B. From the culture growth mediumC.D.E. It is part of a wall of the bacterial cell.From the nuclear membrane of the host cellThey take it from other viruses. find the volume please help! Use 3.14 for pi, and round to the nearest hunredth when necessary. Match each section of a rsum to the information that would be listed in that section What are the 4 requirements for the production of goods and services explain with examples? If 7/8 is multiplied by 4/5, will the product be greater than wait her of the two factors Explain. How many one-half cubes with dimensions of One-half times 1 times 1 fit in a unit cube?1246 Is mobility and movability same thing? Is hereditary a controllable risk factor? How many grams of chromium are in 2.0 x 1024 atoms Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm of air, to the nearest tenth of a centimeter?