At King Kong High School, the average weight of senior boys is 168 lbs. with a standard deviation of 7 lbs. The average weight for senior girls is 117 lbs. with a standard deviation of 5 lbs. Suppose a new distribution is created by adding the boys' weights and the girls' weights together. Assuming that the weights for boys and girls are independent, which of the following is true?

I. The mean of this new distribution is 168 + 117.

II. The standard deviation of this new distribution is 5+ 7.

III. The variance of this new distribution is 52 + 72

A) I only

B) II only

C) I and II only

D) I and III only

E) I, II, and III

Answers

Answer 1

Answer:

I and III only. Got it correct on Stats test.

Answer 2

Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.

Given that, at King Kong High School, the average weight of senior boys is 168 lbs.

What is standard deviation?

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Here, a new distribution is created by adding the boys' weights and the girls' weights together.

So, the new average weight of senior boys and girls

= 168+117

= 285 lbs

The new standard deviation is 5+7

= 12 lbs

Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.

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Related Questions

In ΔSTU, s = 36 cm, ∠T=58° and ∠U=68°. Find the length of u

Answers

Answer:

IM YOUR ANSWER

Step-by-step explanation:

(6 x 10^8) divide (1.5 x 10^-4)

Answers

Answer:

Step-by-step explanation:

the answer is A OK

Answer:

Step-by-step explanation:

(6 x 10^8) =600,000,000

(1.5 x 10^-4) = 0.00015

________________________________________

600,000,000 ÷ 0.00015 = 4 ×10^12

find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)

f(x)=√(4-x), [-5,4]​

Answers

Answer:   c = 7/4

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

Work Shown:

Compute the function value at the endpoints

[tex]f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\[/tex]

With a = -5 and b = 4, we have

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\[/tex]

So,

[tex]f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\[/tex]

Use algebra to solve for c

[tex]-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\[/tex]

The number of students who bring lunch is 45 fewer these the number of students who eat the school lunch. There are more than 485 students who bring lunch. Write an inequality to find the possible number of students,n, who eat the lunch

Answers

Answer:

83

Step-by-step explanation:

there is many ways to do it!! HOPE YOU ACE IT

The number of students, n that possibly eat lunch at school, n = 531 or more students.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that the number of students who bring lunch is 45 fewer these the number of students who eat the school lunch. There are more than 485 students who bring lunch.

The number of students who bring lunch, is;

B > 485 students

The number of student who eat lunch in school, E = B + 45

Thus, E > 485 + 45

The number of student that possibly eat lunch in school, E > 530 students.

The number of students, n that possibly eat lunch at school, n = 531 or more students.

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Can you help me please

Answers

(2, -3)

The Answer is A

Draw a Picture Cynthia has a piece of wood
that is 6 feet long. She cuts it into 3-foot pieces.
How many pieces does she have? Use the
number line to help you solve the problem.
0
2
3

Answers

You may divide the entire length of the wood by the length of each piece to get how many pieces she has: 6 feet / 3 feet / piece equals two parts. Cynthia therefore has 2, 3 foot long pieces of wood.

What does math divide mean?

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

How do you multiply by four?

There is a method for dividing by 4 that you can use: the the rule is to divide by 2 twice. For example, if you want to divide 12 by 4, you simply divide 12 by 2, which gives you 6, and then divide that number by 2, which, in this case, gives you 3.

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PLEASE HELP ME I NEED AN ANSWER ASAP WILL MARK BRAINLY​

Answers

It’s an obtuse angle …
Hope it helps :)

Solve by factoring.
X2-9x-52=0

Answers

Answer:

Step-by-step explanation:

x^2-9x-52=0  What 2 numbers when multiplied equal -52 and added equals -9? -13 and 4

(x-13)(+4)

Answer number 6 pleaseeeee

Answers

Answer:C and D I hope that helps

Step-by-step explanation:

How many 1/2's are in 5 1/2?

Answers

Answer:

11

Step-by-step explanation:

1/2 * 2 = 1, 5 1/2 * 2 = 11.

ASAP PLS HELP ME WILL MARK U AS BRAINLIST

Answers

The measure of angle ABC is 132°.

The total measure of ABC and BCD is 180° because it is a straight angle.

If BCD is 48°, they ABC is 132°. You get this because you subtract 180° by 48°.

Instructions: Find the missing side. Round your answer to the nearest tenth.

Answers

Answer:

x ≈ 74.3

Step-by-step explanation:

Using the tangent ratio in the right triangle, that is

tan22° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{x}[/tex] ( multiply both sides by x )

x × tan22° = 30 ( divide both sides by tan22° )

x = [tex]\frac{30}{tan22}[/tex] ≈ 74.3 ( to the nearest tenth )

Mason had $24 to spend on 5 snacks. After buying them he had $4 left. How much did each snack cost?

Answers

Answer:

$4 each snack

Step-by-step explanation:

Answer:

x= 4.8

Step-by-step explanation:

5x = 24 and  24/5 = x

What is the value of h(3) multiplied by h(7)

P.S. I will give brainliest to the best answer

Answers

Answer:

21

Step-by-step explanation:

Because h(3) times h(7) is equal to 21.

Hope it helps!

When working, Peter makes $16 an hour. Write a function to represent how much money he will make based on the number of hours he works. Then, calculate how much money he made after working for 6 hours.

Answers

Answer:

y=16x

96

Step-by-step explanation:

a family of six goes to the local sandwich shop. all six people order the combination meal, which includes a drink and a sandwich for 6.99. one person thinks the total bill for the family of six will be around 30.00.

is this a reasonable estimate?

Answers

Answer:

No it wouldn’t be

Step-by-step explanation:

Well lets say the cost of 6.99 is rounded up to 7 since its a penny short.

There are 6 people and 6*7=42

So the answer would be about 42 dollars which is 12 dollars off.

Even if we round down the 6.99 to 6 it would still be 6 dollars off and thats still a low estimate

A pair of pants was on sale for 40% off. The sale price of the pants was $18.00. What was the original price of the pants?

Answers

Answer:

The original price of the pants was $30.

Step-by-step explanation:

Let x be equal to the original price of the pants.

Because the pants are 40% off, their final price was 60% of the original price. 60% as a decimal is 0.6. Using this information, we can set up the following equation and solve:

0.6x=18

Divide both sides by 0.6

0.6x/0.6=18/0.6

x=30

I hope this helps!

What is the value of N?

Answers

Answer:

85

Step-by-step explanation:

Since the exterior angles of a triangle always add up to 360:

360 - 133 - 142 = 85

Step-by-step explanation:

all 3 indicated angles are outside angles of a triangle.

the sum of all outside angles of any polygon is 360°.

so,

N = 360 - 133 - 142 = 85°

jamie had 20 marbles 5 marbles were green and 15 were blue what percent of the marbles were blue?

Answers

Answer:

Step-by-step explanation:

15/20 X 100% = 75%

Therefore 75% of marbles were blue

Which number on the number line shows the solution of 6x-12>-6?

Answers

Answer:

B

Step-by-step explanation:

We start by finding a solution to the linear inequality

6x-12 > -6

6x > -6 + 12

6x > 6

x > 6/6

x > 1

The correct number line is one with value at 1, facing the right and unshaded

What is the slope of a line that is parallel to the line y = 3/4 x + 2?

Answers

Answer:

[tex]m=\frac{3}{4}[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Symbol: m

[tex]m=\frac{3}{4}[/tex]

Triangle C has vertices (2, −1), (2, 2), and (1, −1). Which triangle is similar to triangle C? Triangle X with vertices (−2, 2), (2, 4), and (1, −2) Triangle W with vertices (4, −3), (4, 0), and (2, −3) Triangle Z with vertices (4, −2), (4, 4), and (2, −2) Triangle Y with vertices (4, 1), (2, 3), and (2, 2)

Answers

Answer:

not triangel Z ill come back with an update

Step-by-step explanation:

They have nothing in common

Answer: Triangle Y

Step-by-step explanation: it’s the same triangle just double the size

3(6 - 8)2 + 8÷2 what is the answer?

Answers

Answer:

16.

Step-by-step explanation:

3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2

        = 3 * 4 + 8÷2

        = 3 * 4 + 4

        = 12 + 4

            =16

Answer:

-8

(using PEMDAS)

3(6-8)2+8/2

3(-2)2+8/2

-6*2+8/2

-12+4

-8

(this is if the 2 is NOT an exponent)

Describe how to find the LCM ( least common multiple ) for a set of numbers.

Answers

Answer: i explained it

Step-by-step explanation:

list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Given the quadratic equation: f(x) = x2+4x-21

What are the factors of the quadratic (factored form/intercept form)? Show your work.
PLEASE HURRY

Answers

[tex]f(x)=x^2+4x-21\\f(x)=(x+7)(x-3)[/tex]

These are x-intercepts form. So the answer is (x+7)(x-3).

Can someone help me?

Answers

Answer:

it's D

Step-by-step explanation:

4x represents the hours and A, B, and C doesn't make sense especially c because it has a -4 so the correct answer is D I'm sure

Answer:

Choice D  y = 4x -12

Step-by-step explanation:

Since Kevin owes his brother $12, we can clarify that b=-12. He also has a babysitting job where he receives $4 an hour which we can express as 4x; let x represent the amount of hours he works.

The graph equation is y=mx + b

so, y = 4x -12

If ∡P and ∡Q are complementary angles (90°), m∡P = 7x + 3, and m∡Q = 16x – 5, find m∡P.

Answers

Answer:

23

Step-by-step explanation:

Helpppppppppppppppppppppppppppppp Asapppppppppppppp

Answers

Answer:

x = 185

Step-by-step explanation:

Given:

Plan A

Fixed cost = $14.80

variable cost = 10 cents per min = $0.1 per minute

Plan B

Fixed cost = $18.50

variable cost = 8 cents per min = $0.08 per minute

Computation:

Assume

Plan A cost = Plan B cost

14.80 + 0.1x = 18.50 + 0.08x

x = 185

Which rectangle is similar to a rectangle 12 inches wide and 18 inches long?

Answers

Answer:

Step-by-step explanation:

the answer is b add 8 to each side

The points (9,4) and (7,w) fall on a line with a slope of 5. What is the value of w?

Answers

Answer:

-6

Step-by-step explanation:

Equation .......

[tex] \ slope\: = \frac{different \: \: in \: y}{different \: in \: x}[/tex]

So ,. [tex] \: \: \: \: \: \: \ \: \ \: \: \: \:5 = \frac{(y1 - y2)}{(x1 - x2)} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 = \frac{(4 - w)}{(9 - 7)} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 = \frac{4 - w}{2} [/tex]

5 × 2 = 4 - w 10 = 4 - w W = 4 - 10 W = -6 ..........

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