The manager of a children's puppet theatre has determined that the number of adult
tickets he sells for a Saturday afternoon show is a random variable with a mean of 28.3
tickets and a standard deviation of 5.3 tickets. The mean number of children's tickets he
sells is 42.5, with a standard deviation of 8.1.
(a) The adult tickets sell for $10. Let A = the money he collects from adult tickets on a
random Saturday. What are the mean and standard deviation of A?

Answers

Answer 1

Applying statistical concepts of multiplication of a variable by a constant, it is found that the mean of A is of $283, while the standard deviation is of $53.

When a constant is multiplied to each data in a variable:  

The mean is multiplied by this constant. The standard deviation is multiplied by this constant.

In this question, the variable has mean 28.3 and standard deviation of 5.3, and is multiplied by 10, hence:

[tex]28.3(10) = 283[/tex]

[tex]5.3(10) = 53[/tex]

The mean of A is of $283, while the standard deviation is of $53.

A similar problem is given at https://brainly.com/question/25639778


Related Questions

it has been suggested that the percentage of drivers in the us that use a blinker when changing lanes is58% you plan to observe 50 cars during a lane change. What type of distribution could you use to determine the number of cars you will observe before finding a car the does not use a blinker during a lane change?

Answers

Since the number of trials is not fixed, an inverse binomial distribution is used.

For each car, there are only two possible outcomes, either they use a blinker during lane change, or they do not. The probability of a car using a blinker during lane change is independent of any other car, which means that the number of cars that do not use a blinker during a lane change is a binomial variable.

However, we are counting the number of trials until observing a car that does not use a blinker during a lane change, hence, it is an inverse binomial variable.

A similar problem is given at https://brainly.com/question/25644451

help me out please i dont understand this

Answers

Answer:

x=7°

Step-by-step explanation:

From the picture it tells us that all side are equal

so that means every side is 60°

Let's make an equation

9x-3°=60°

add 3 on both sides

9x=63°

divide both sides by 9

x=7°

The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.

Answers

Answer:

Step-by-step explanation:

A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

What is Ratio?

Ratio is a concept in mathematics used to compare two things.

It is denoted by a : b.

A ratio can be represented as fractions also like a/b.

In the question, it is given that the ratio of boys to girls is 3 to 4.

A math class with 12 boys and 16 girls = 12/16 = 3/4An English class with 14 boys and 14 girls = 14/14 = 1A science class with 15 boys and 20 girls = 15/20 = 3/4A Spanish class with 20 boys and 15 girls = 20/15 = 4/3A band class with 75 boys and 100 girls = 75/100 = 3/4  

Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

To learn more about Ratio, click:

https://brainly.com/question/13419413

#SPJ2

The following data set has a mode of 2, a mean of 10, and a median of 7. Which of these three measures gives the best idea of the typical size of the numbers in the list?
2, 2, 2, 4, 6, 8, 10, 12, 14, 60
A. Median
B. Mode
C. Mean

Answers

Answer:

I should think the median

During the summer, many homeowners struggle to keep ant's out of their homes. In a specific
kitchen, the population of a colony of ants is given by
P(t) = 42(1.168)
where P(t) is the populationand t is the number of days after June 1st.
(a)What is the daily growth rate of this ant population?
Write your answer as a percent rounded to two decimal places.
(b)What is the continuous growth rate of this ant population?
Write your answer as a percent rounded to two decimal places.
(c)When will the population reach 500 ants? Use an algebraic solving process to show
that it will take 15.95 days to reach 500 ants.

Answers

hiiiiiiiiiiiiiiiiiiiiiiiii


Javad had a mix of yellow and red jellybeans as shown on the
graph. If there are 40 total jellybeans in his bag, how many
are red?

Answers

Hi there!!

The ratio of red jelly beans to yellow is 7:3.

There are 40 jelly beans.

7+3 is 10.

40/10 is 4.

7*4 is 28.

Therefore, 28 jelly beans are red.

1.79 ÷1.23=

A 1.31
B 1.35
C 1.5
D 1.38​

Answers

Answer:

1.45528455285

Step-by-step explanation:

Round it up to nearest 10. So it's C

Whats the answer to 2 1/6 + 3 4/9?

Answers

Answer:

4.61

did that help??

Step-by-step explanation:

[tex]2 \dfrac 16 + 3 \dfrac 49 \\\\\\= 2 + \dfrac 16 + 3+ \dfrac 49\\\\\\ = 5+\dfrac{11}{18}= 5 \dfrac{11}{18}[/tex]

Need the answer to this pls

Answers

Answer:

b

Step-by-step explanation:

y=-1/4 x -3

Consider the following equation.

x+4y=14
Determine the missing coordinate in the ordered pair (−2,?) so that it will satisfy the given equation.

Answers

Answer:  4

Explanation:

We plug in x = -2 and solve for y

x+4y = 14

-2+4y = 14

4y = 14+2

4y = 16

y = 16/4

y = 4

Therefore, the point (-2, 4) is on the line x+4y = 14.

The area of a rectangle is 50 ft, and the length of the rectangle is 5 ft less than three times the width. Find the dimensions of the rectangle.

Answers

Answer:

L - 10 . W - 5

Step-by-step explanation:

Length = 3*width - 5

area = length * width

50 = (3w-5)* w

50 = 3w^2-5w

0 = 3w^2 - 5w -50

0= (3w+10)(w-5)

w = 5 , w can't equal -10/3 because width can't be negative

width is 5

Length = 3 * 5 - 5

Length = 10 , width = 5

Answer:

first lets say w is the width

50(area)=w(idth)+3(w-5)

50=w+3w+15

50=4w+15

35=4w

8.75=w

w equals 8 3/4

Hope This Helps!!!

Find all missing angles.

M21 =

m22

m23

57-

72•

4

m24

Answers

Answer:

4 better explanation inbox

Step-by-step explanation:

A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?

solve using a system of equations. will mark brainliest for correct answer and working

Answers

Answer:

2 6/7 km/h

Step-by-step explanation:

t - time spent by boat, s - speed of the raft

time  = distance / speed

Equations:

t = 20 / 12t + 5 h 20 m = 20 / s

Time the patrol-boat spent:

t = 20/12 = 5/3 h

Time the raft spent:

5 h 20 min + t = 5 1/3  + 5/3 =16/3 + 5/3 =21/3 =7 hours

The speed of the raft:

7 = 20/ss = 20/7s = 2 6/7 km/h

Rick’s Rentals is a car rental company that uses the function f(x)=22+0.10x to determine the to
tal cost of a rental as a function of how many miles a person drives. Penny’s Pencils is another company that uses a similar function g(x)=22+0.10x to determine the total cost of an order of personalized pencils as a function of the number of pencils ordered. Determine the domain and range of the company whose function is continuous and justify your answer.

Answers

Answer:

Step-by-step explanation:

The number of miles driven is sometimes written as a mixed number, and thus is a continuous variable (whereas the number of pencils purchased is not continuous (it's a whole number).

The domain of the continuous function are [0, n), where n represents the number of miles driven and is rarely over about 500 miles per day; the range is [$22, r), where r is ($0.10/mile)(number of miles driven), or approximately $50.  If the renter drove 600 miles the upper end of the range would be $60.  And so on.

What is the answer for my question

33.22 x 34.98 =

Answers

Answer:

1162.0356

Step-by-step explanation:

Find the measure of the supplement of an angle that measures 72º.
O 18°
O 36°
O 72°
O 108°

Answers

The answer is 108. Supplementary angles add up to 180 degrees.

Which rational number could be graphed between 0 and 1?


A number line going from negative 5 to positive 3 in increments of 1.

O Negative one-half

O One-fourth

O Three-halves

O 1.75

Answers

O NEGATIVE ONE-HALF ........

Answer:

answer is D

Step-by-step explanation:

the answer is 1.75

Enter values to write the function that matches the graph shown.

Answers

Answer:

Step-by-step explanation:

The curve crosses the x axis (has zeros) at -1 and -4

Therefore it has factors of (x + 1) and (x + 4) and possibly a constant factor C

y = C(x + 1)(x + 4)

plug in the known y intercept

16 = C(0 + 1)(0 + 4)

16 = 4C

C = 4

as they are looking for two factors and one is give as (x + 1), the other must be C(x + 4) = 4(x + 4) = 4x + 16

Find the lcm of 4 and 4?

Answers

Answer:

lowest common multiple of 4 and 4 is 4

To verify those for alpha and beta, simply substitute the known values:

sin 30° = cos 60° = 1/2

sin 60° = cos 30° = √3/2

cos 90° = sin 0° = 0

sin -30° = -1/2

sin 120° = √3/2

a.

cos 90° = cos 30° cos 60° - sin 30° sin 60°

0 = √3/2 * 1/2 - 1/2 * √3 / 2 = √3/4 - √3/4 = 0

verified

b.

sin -30° = sin 30° cos 60° - cos 30° sin 60°

-1/2 = 1/2 * 1/2 - √3/2 * √3/2 = 1/4 - 3/4 = -2/4 = -1/2

verified

c.

sin 120° = 2 sin 60° cos 60°

√3/2 = 2 * √3/2 * 1/2 = √3/2

verified

r^2- 3s^2; r= -2, s=3

2 – 3s^² =

Answers

Answer:

-23

-25

Step-by-step explanation:

r² - 3s² → (-2)² - 3(3)²  → 4 - 27  → -23

2 - 3s²  → 2 - 3(3)²  →  2 - 27  → -25

Write an equation for the nth term of the arithmetic sequence –1, –3, –5, –7,

Answers

Answer:

[tex]a_n=-1+(n-1)(-2)[/tex]

Step-by-step explanation:

The arithmetic sequence formula looks like this:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

Each consecutive term is decreased by 2 over the last, so d = 2. The first term is -1 of course, so you can write this equation:

[tex]a_n=-1+(n-1)(-2)[/tex]

Just to confirm:

[tex]a_n=-1+(n-1)(-2)\\a_3=-1+(2)(-2)\\a_3=-1-4\\a_3=-5[/tex]

And it works, -5 is the 3rd term in the sequence.

Answer:

[tex]a_{n}[/tex] = 1 - 2n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = a₂ - a₁ = - 3 - (- 1) = - 3 + 1 = - 2 , then

[tex]a_{n}[/tex] = - 1 - 2(n - 1) = - 1 - 2n + 2 = - 2n + 1 = 1 - 2n

Kobina sells apple pies for 10gh each.kojo sells beverages for ghc1 each.if kobina sells 23 apple pies and kojo sells 17 beverages,what is the total in sales for both producs combined?​

Answers

Answer:

680

Step-by-step explanation:

Based on the given conditions, formulate:  17  × ( 23  + 17 )  

Calculate the sum or difference: 17  × 40  

Calculate the product or quotient: 680  

get the result: 680

Answer: 680

(Hope this helps can I pls have brainlist (crown)☺️)

Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round two places past the decimal

Answers

Answer:

$199.89

Step-by-step explanation:

The bike costs 266.52

The parents are contributing one fourth of this (1/4)

We need to find 1/4th of 266.52

Divide 266.52 by 4 to find out how much Justin's parents are contributing to the bike

The answer is 66.63

Now subtract 66.63 from 266.52

Justin has to pay a total of 199.89

Who could help me out on these questions there is a store to it ! Asap pleaseee

Answers

where is the passage?

36=12d is a proportional or Non-proportional? Explain

Answers

Answer:

non-proportional

Step-by-step explanation:

This equation is non-proportional. A proportional equation contains 2 variables where one is proportional to the other. An example would be:

y = 5x

Y is proportional to the value of X at a rate of 5. 5 is the "constant of variation", or the "constant of proportionality"

36 = 12d is not proportional because there is only one variable. That variable can be solved for, giving only one solution.

proportional:

"corresponding in size, degree or intensity"

"having the same or a constant ratio"


Will all rational functions have at least one vertical asymptote? Justify your response with an
explanation

Answers

Answer:

  no

Step-by-step explanation:

A rational function is the ratio of two polynomials. It will have a vertical asymptote if there is a real denominator zero that is not matched by one in the numerator.

Polynomials in general may or may not have real zeros, and two polynomials may have the same zero. Hence conditions may exist for a rational function not to have any vertical asymptotes.

An example with no vertical asymptotes is ...

  f(x) = (x -1)/(x^2 +1)

100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!

Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Question 16 options:

A)

(1, 1)

B)

(–1, 1) and (1, 1)

C)

(–1, 1) and (0, 2)

D)

(–1, 1)

Answers

Answer:

  D)  (–1, 1)

Step-by-step explanation:

The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.

  y = y

  -x² +2 = x² +4x +4

  2x² +4x +2 = 0 . . . . . . . . . add x² -2

  2(x +1)² = 0 . . . . . . . . . factor

  x = -1 . . . . . . . . . . one solution that makes the factors zero

  y = -x² +2 = -(-1)² +2 = -1 +2 = 1

The only solution is (x, y) = (-1, 1).

If your financial goal is to save at least $40000 in 10 years What would be the least amount of money to save each month

Answers

Answer:

$334   to the nearest dollar.

Step-by-step explanation:

If you just stuff it under the bed that would be

40000/ 120          (as there are 120 months in 10 years)

= $334.333...

2 2/3, 2 6/15, 2 3/5, 2 4/9 sorted from least to greatest

Answers

Answer:

2 6/15, 2 4/9, 2 3/5, 2 2/3.

Answer:

2 6/15, 2 4/9, 2 3/5, 2 2/3

Step-by-step explanation:

2 6/15 = 2 2/5

8/3, 12/5, 13/5, 22/9

120/45, 108/45, 117/45, 110/45

Pete says the relationship between the amount he weighs and his age are proportional do you agree or disagree? explain

Answers

Answer:

Disagree

Step-by-step explanation:

I dont think this is a math question but answering it in a science point of view it would make sense to disagree with Pete. There is a lot of factors that go into the weight of a person such as gender, age, body frame, and height. Lots of people can vary which is why its not proportional

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