A population of five families is to be sampled. The incomes of the five families (in thousands of dollars) are: Family Income ($000) A 12 B 23 C 18 D 7 E 16 a. Find the population mean income of the five families. 2 point

Answers

Answer 1

The population mean income of the five families is their average income

The population mean income of the five families is #15.2

How to determine the population mean?

The income of the five families in a thousand dollars is given as:

A 12 B 23 C 18 D 7 E 16

The population mean is then calculated as:

[tex]\mu = \frac{\sum x}n[/tex]

So, we have:

[tex]\mu = \frac{12 + 23 + 18 + 7 + 16}5[/tex]

Evaluate the sum

[tex]\mu = \frac{76}5[/tex]

Evaluate the quotient

[tex]\mu = 15.2[/tex]

Hence, the population mean income of the five families is #15.2 thousand

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Related Questions

To make 5 pizzas, 1/2 cup of flour is used a. How much flour is needed to make one pizza? b.. How many cups of flour are needed to make 1 dozen pizzas? (1 dozen - 12) c. How many pizzas can you make with 5 2/3 cups of flour?​

Answers

Answer:

for a single pizza 1/10 a cup

for 12 pizzas 1 1/5 a cup

you can make 56 pizzas with 5 2/3 cups.

Step-by-step explanation:

for 5 pizzas you need 1/2 cup of flour, so to find out how much you'll need for a single pizza you'll need to divide it with 5. 1/2÷5=1/10

for a dozen pizzas you'll need to multiply that with 12. 1/10x12=12/10=1 1/5

Then to find out how many can we make with 5 2/3 cups we'll divide it with that 1/10

56/10÷1/10= 56 pizzas

Find the value of x in the figure below Assume that the lines are parallel

Answers

Answer:  15

Step-by-step explanation:

what is the value of 5/z when z =2?

Answers

Answer:

[tex]z = 2. \\ 5 \div z \\ 5 \div 2 \\ 2.5[/tex]

2.5 is the correct answer .

Thank you ☺️☺️

what is 1365in Egyptian numeral​

Answers

Answer:

I used an Egyptian numeral converter.

Step-by-step explanation:

Michael ran 450 miles this month preparing for a race. 40% of the miles
he ran were during bad weather. How many miles did he run during bad
weather?

Answers

Answer is 180, 40% of 450 is 180.

Answer:

180 miles

Step-by-step explanation:

You must find 40% of 450 and you can make the of into an x (multiplication symbol) like so:

40% x 450

Now, percent's are fractions, and 100% is equal to one whole or 1. To make 40% a fraction, simply just place a decimal in front of the 4, like so:

.40 or 0.40 or 0.4 or .4

Now place that in the equation:

0.40 x 450

Solve:

 450.00

x     0.40

___________

  180.00

       ^

(!Important! !Always bring down the decimal in the exact place it was at in first place!)

Check:

180 = 40%

450 = 100%

(To get 450 you must multiply 100 by 4.5, therefore you multiply 40 by 4.5 to get 180)

Answer:

Michael ran 180 miles in bad weather.

3.6(5x4)divided 3+5.0=

Answers

Answer:

29 Hope this helps

Step-by-step explanation:

"Given expression is :  

First we will simplify both numerator and denominator separately using order of operations. So....

Thus the expression.... "

-Sicista

Can someone help me with this real quick!

Answers

Answer:

519.50

Step-by-step explanation:

A = P [tex](1 + r)^{n}[/tex]

A = 300[tex](1 + .04)^{14}[/tex]

A = 300(1.7316764476)

A = 519.502934281

A = 519.50

NO LINKS!!

Two sensors are spaced 700 feet apart along the approach to a small airport. When an aircraft is nearing the airport, the angle of elevation from the first sensor to the aircraft is 20°, and from the second sensor to the aircraft is 15°. Determine how high the aircraft is at this time. ​

Answers

Answer:

711 ft (nearest foot)

Step-by-step explanation:

Create two equations using trig ratios and the information given (refer to the attached diagram).  Equate the equations and solve.

First equation

Let y = horizontal distance between sensor 1 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

angle = 20°side opposite the angle = hside adjacent the angle = y

[tex]\implies \mathsf{\tan(20)=\dfrac{h}{y}}[/tex]

Rearrange to make y the subject:

[tex]\implies \mathsf{y=\dfrac{h}{\tan(20)}}[/tex]

Second equation

Let y + 700 = horizontal distance between sensor 2 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

angle = 15°side opposite the angle = hside adjacent the angle = y + 700

[tex]\implies \mathsf{\tan(15)=\dfrac{h}{y+700}}[/tex]

Rearrange to make y the subject:

[tex]\implies \mathsf{y=\dfrac{h}{\tan(15)}-700}[/tex]

Now equate the 2 equations and solve for h:

[tex]\implies \mathsf{\dfrac{h}{\tan(20)}=\dfrac{h}{\tan(15)}-700}}[/tex]

[tex]\implies \mathsf{700=\dfrac{h}{\tan(15)}-\dfrac{h}{\tan(20)}}[/tex]

[tex]\implies \mathsf{700=\dfrac{h\tan(20)-h\tan(15)}{\tan(15)\tan(20)}}[/tex]

[tex]\implies \mathsf{700=\dfrac{\tan(20)-\tan(15)}{\tan(15)\tan(20)}h}[/tex]

[tex]\implies \mathsf{h=\dfrac{700\tan(15)\tan(20)}{\tan(20)-\tan(15)}}[/tex]

[tex]\implies \mathsf{h=710.9678247...}[/tex]

Therefore, the height of the aircraft is 711 ft (nearest foot)

Nicholas sold pounds of shrimp in 4 hours. So, he sells shrimp at a rate of pounds of shrimp per hour. At this rate, he would sell pounds of shrimp in 9 hours.

WILL RECIEVE BRAINLIST

Answers

Answer:

9 pounds of shrimp will be sold in 9 hours i think.

i dont realy understand the way u wrote it but pls put brainliest

Answer:

yea i thik hes right

Step-by-step explanation:

can someone help please

Answers

Answer:

I think it might be A, it seems most reasonable. I'm probably wrong tho

Step-by-step explanation:

Answer:

it is D

Step-by-step explanation:

just multiplay

6.1/5(12b+5) for b = 5/6​

Answers

Answer:

Step-by-step explanation:

6.1 / 5 ( 12b + 5 )

b = 5/6

by substituting,

6.1 / 5 ( 12 × 5/6 + 5 )

1.22 × 15

= 18.3

Hope this helps

plz mark as brainliest!!!!!!!

Stay safe!!

Your younger sibling can run 3/8 of a mile in 1/8 of an hour. How long will it take him to run one mile? How far could he run in one hour?

Answers

9514 1404 393

Answer:

1/3 hour per mile3 miles per hour

Step-by-step explanation:

Time per mile can be found by dividing hours by miles:

  (1/8 h)/(3/8 mi) = 1/3 h/mi

It will take him 1/3 hour to run 1 mile.

__

Miles per hour can be found by dividing miles by hours (or by finding the reciprocal of the above value):

  (3/8 mi)/(1/8 h) = 3/1 mi/h = 3 mi/h

He could run 3 miles in one hour.

A line passes through the point (-9,-6) and has a slope of -(2)/(3).

Answers

Answer:

[tex]\displaystyle y + 6 = -\frac{2}{3}(x + 9)[/tex]

Explanation:

In the Point-Slope formula, [tex]\displaystyle y - y_1 = m(x - x_1),[/tex]−C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with those minus symbols.

I am joyous to assist you at any time.

Write a linear equation given the point and slope. (-7, 13); slope = -2

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

The linear equation is generally written in y = mx + b form. Since m (the value of the slope) is already given, only the value of b must be determined. To do this, plug in x, y, and m for their values in the equation to get:

13 = -2 (-7) + b

Then, simplify.

13 = 14 + b

b = -1

Once you find the b value, plug everything back in and get y = -2x + 1.

what is the y-intercept of f(x)=(1/3)^x

Answers

Answer:

1.

Step-by-step explanation:

To find the y-intercept of an equation, you substitute 0 for x in the function.

f(x)=(1/3)^x

f(x)=(1/3)^(0)

f(x)=1

Ms. Kim has 1 full class plus 8 extra students going on the field trip. if she has 40 students going on the field trip, how many students are there in her full class?

Answers

Answer:

32 students

Step-by-step explanation:

Find the vertex of the graph of the function
f(x)= -2x^2-16x-34

Answer Choices:
-2,-4
-4,-2
3,5
5,3

Answers

Answer:

(-4,-2)

Step-by-step explanation:

What is the measure of the unknown angle? n 120°​

Answers

n = 240°

Since a full circle equals 360°, you would subtract 120° from 360° and get 240°.

Help help help help

Answers

Answer:

c; infinite solutions

Step-by-step explanation:

to solve this system of equations you can use elimination

you can divide all of the top by 2

you get

3x + y = 6

and then

-3x - y = -6

but then when you subtract them you get 0 = 0

this means it is infinite solutions

another way to tell that it is infinite solutions is by seeing if the equations are the same

-3x - y = -6 is just 3x + y = 6 but everything is multiplied by -1

Answer:

INFINITE SOLUTIONS

Step-by-step explanation:

So let's solve this system using elimination

we can convert the second equation to

-6x-2y = -12

6x+2y = 12

if we add these to equations we get 0 = 0

therefore, there are infinite solutions to this system

joe has read 30​% of a book. He has 56 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

80 pages

Step-by-step explanation:

If Joe has read 30% and 56 pages is 70% of the book. We divide 56 by 7 and get 8 meaning that 10% of the book is 8. Once we know this we multiply 8 x 10 and get the amount of pages in the book 80

Answer:

There are 80 pages left.

Step-by-step explanation:

100% - 30% = 70%

70% = 56 pages

Insert x into a equation.

0.7x = 56

Multiply by 10 on both sides to get rid of the decimal.

0.7x = 56

· 10     ·10

Divide by 7 on both sides to get x by itself.

7x = 560

     7

x = 80

thanks again everyone ​

Answers

Points are

(10,-8)(-5,-7)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{-7+8}{-5-10}[/tex]

[tex]\\ \rm\rightarrowtail m=-\dfrac{1}{15}[/tex]

Given the polynomial, f(x)= x³ + kx² - 2x + 1, and that f(x) is divided x-k the remainder is k, find the possible values of k.​

Answers

Answer:

k=1

Step-by-step explanation:

According to the remainder Theorem, if we have a polynomial then if it divided by (x-a), the remained will be equal to

[tex]f(a)[/tex]

So we know that the factor is

[tex](x - k)[/tex]

So plug in k into the polynomial

[tex]f(k) = k {}^{3} + k(k) {}^{2} - 2(k) + 1 = k[/tex]

[tex]k {}^{3} + k {}^{3} - 2k + 1 = k[/tex]

[tex]2k {}^{3} - 3k + 1 = 0[/tex]

Solve for k.

Using Rational Roots Theorem, one possible root is 1 so we have

[tex]2k {}^{2} + 2k - 1 = 0[/tex]

Since that is irreducible over reals, 1 is our only factor so k=1.

4,5,6,6,7,7,8,8,8,8,8,9,9

What is the mean and range of the number sequence?

Answers

Answer:

The mean is 7 and the range is 5

Step-by-step explanation:

To find the mean, just add up the scores and divide the total by the number of scores.

To find the range, subtract the lowest value from the highest value.

Volume with Fractional Length - Quiz. Level F
If the box holds 24 of these sugar cubes, what is
the total volume of the box?
24 in
12 in
6 in
3 in

Answers

volume of sugar cube are 1/8
24 cubes=1/8×24
=3
so the volume is 3in^3

Area and perimeter of the triangle

Answers

Perimeter is 0.8333yd
Area is 15yd

5. Which of the following best describes a negative linear association?*
A Variables have no relation to each other when plotted.
B As one variable increases so does the other
CA data set that includes both negative and positve numbers
D As one variable decreases, the other increases

Answers

D. As one variable decreases, the other increases.

A negative linear association means that as one variable decreases, the other variable increases. This indicates an inverse relationship between the two variables.

As the value of one variable decreases, the value of the other variable tends to increase consistently and vice versa. This pattern can be observed when plotting the data points on a scatter plot, where the points tend to form a downward sloping line.

Option A is incorrect because a negative linear association implies a clear relationship between the variables, unlike no relation. Option B is incorrect because it describes a positive linear association, where both variables increase together.

Option C is incorrect because the presence of both negative and positive numbers does not necessarily indicate a negative linear association. The key characteristic of a negative linear association is the inverse relationship between the variables as described in option D.

for such more question on variable

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∠A and ∠B are complementary. The measure of ∠A is 21°.

What is the measure of ∠B?

Enter your answer in the box.

Answers

<B be y

We know that complementary angles have sum 90°

[tex]\\ \sf\longmapsto y+21=90[/tex]

[tex]\\ \sf\longmapsto y=90-21[/tex]

[tex]\\ \sf\longmapsto y=69°[/tex]

<A=69°

Answer:

The measure of ∠B is 69°

Step-by-step explanation:

Given :

=> ∠A + ∠B = 90°

=> 21° + ∠B = 90°

=> ∠B = 90°- 21°

=> ∠B = 69°

Write an equation of the line that passes through (0, 5) and (−1.5, 1).

Answers

Answer:

y = 2.667x + 5

A set of high school student heights are normally distributed with a mean of 161 centimeters and a standard deviation of 15 centimeters. Mikio is a high school student with a height of 191 centimeters. What proportion of student heights are higher than Mikio's height?

Answers

Answer:

0.0228

Step-by-step explanation:

Trust <3 like fr I just did it on Khan

What is the solution to the equation x2 = 16? Explain.

Answers

Answer:

x = ±4

Step-by-step explanation:

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4

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