Study the following frequency distribution table.
xi 15 17 20 30 10 + f
fi 4 4 6 5 6
If the mean of the data is 18.8, then the value of f is
(A) 4 (B) 3 (C) 2 (D) 1
PLS ANSWER THIS AS QUICKLY AS POSSIBLE

Answers

Answer 1

Answer:

Option C is correct.

f = 2

Step-by-step explanation:

The mean is the sum of variables divided by the number of variables

Mean = (Σfx)/(Σf)

xi | 15 | 17 | 20 | 30 | 10 + f

fi | 4 | 4 | 6 | 5 | 6

Σfx = (15×4) + (17×4) + (20×6) + (30×5) + [(10+f)×6] = 60 + 68 + 120 + 150 + 60 + 6f = (458 + 6f)

Σf = 4 + 4 + 6 + 5 + 6 = 25

Mean = 18.8

18.8 = (458+6f) ÷ 25

458 + 6f = 25 × 18.8 = 470

6f = 470 - 458 = 12

f = (12/6) = 2

Hope this Helps!!!


Related Questions

I need help with this

Answers

Answer:

when you square root a number it can be negative or positive. squaring a number is multiplying a number by itself so 2 negatives = a positive and 2 positives = a positive. ex. (-3)x(-3)=9 as well as 3x3=9.

Step-by-step explanation:

Answer:

Absolute Value

Step-by-step explanation:

Meaning that -3 and 3 are the same distance away from the starting number or Zero

A rectangular prism with a length of 14 meters, width of 5 meters, and height of 4.5 meters. A square pyramid with a base of 8 feet by 8 feet and height of 6 feet. Find the volumes of the three-dimensional figures. Rectangular prism: m3 Pyramid: ft3

Answers

Answer:

315 and 128

Step-by-step explanation:

Answer:

315 and 128

Step-by-step explanation:

Jims fish bowl contains x tetras, 3 goldfish, and 5 platies. He removes one fish from the fish bowl at random. If the probability of removing a gold fish from the bowl is 1 out of 3 , how many tetras does jim have.

Answers

Answer: x = 1

Step-by-step explanation:

we have

x tetras

3 goldfish

5 platies.

the total number of fishh in the bowl is x + 3 + 5

The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:

p = 3/(x + 3 + 5) = 1/3

3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3

9 = x + 3 + 5

x = 9 - 8 = 1

then wemust have that x = 1

because 1 + 3 + 5 = 9

and 3/9 = 1/3

Solve x^2 -24 = -80 by completing the square.


What is the solution set of the equation?


A.(2,40)


B.(4,20)


C.(5,16)


D.(8,10)

Answers

Answer:

B.(4,20)

Step-by-step explanation:

Given: [tex]x^2 -24x = -80[/tex]

To solve the quadratic equation by completing the square, we follow these steps.

Step 1: Divide the coefficient of x by 2

[tex]-\dfrac{24}{2}=-12[/tex]

Step 2: Square your result fro Step 1

[tex](-12)^2[/tex]

Step 3: Add the result form step 2 to both sides of the equation

[tex]x^2 -24x+(-12)^2 = -80+(-12)^2[/tex]

Step 4: Rewrite the Left hand side in the form [tex](x+k)^2[/tex]

[tex](x-12)^2=-80+144\\(x-12)^2=64[/tex]

Step 5: Take square roots of both sides

[tex]x-12=\pm \sqrt{64}[/tex]

Step 6: Solve for x

[tex]x=12\pm \sqrt{64}\\=12\pm8\\x=12+8$ or x=12-8\\x=20 or x=4.[/tex]

Therefore, the solution set of the equation is (4,20).

a circle has the diameter of 42 what is the circumference of that circle

Answers

Answer: 132

Step-by-step explanation:

C=2[tex]\pi[/tex]r

C=2[tex]\pi[/tex]21

C=131.88

NEED ANSWER ASAP
For the function
f(x) = |x|-2, find the value when x = -3

Answers

Answer:

1

Step-by-step explanation:

The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, [tex]\mid -3 \mid -2=3-2=1[/tex]. Hope this helps!

I have 8 red Valentine card and 2 pink. How many reds and pinks would I need to add to my collection so that the proportion of pink is 44%? ​

Answers

Answer:

88%

Step-by-step explanation:

Question 5- Please help. Using a piece of pizza explain what arc length and area of the sector mean in two to three sentences.

Answers

Answer:

You'd have to look at the size of the pizza and then measure the size of the arc for each slice. The slice of pizza is how many topping is on it. The sector is how much pizza you are consuming from the center to the crust. The arc is the crust around the pizza.

Write 21 9/1000 in decimal form

Answers

Answer:

the answer in decimal form is 21.009

Answer:

= 21.009

Step-by-step explanation:

First change it to an improper fraction

= 1000 x 21 + 9

= 21009/ 1000

You then divide it by 1000 without leaving a remainder.

= 21.009

The mean of a set of 5 numbers is 7

What is the sum of the numbers?


(This is a quiz for ‘Integers and Data Management’)

Answers

Answer:

you put a postive between your numbers

Step-by-step explanation:

[tex]\int\limits^a_b {x} \, dx[/tex] thats how it is :) XD lol

Answer:

35

Step-by-step explanation:

They told you that the mean is 7.

You know there are 5 numbers

Mean = (number 1 + number 2 + number 3 + number 4 + number 5) / 5 = 7

Sum = 7 x 5

= 35.

A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour. A. What is the price per share after 5 ​hours? B. What will it be after 23 hours if this rate​ continues? C. Explain what the signs of the answers mean in this context.

Answers

Answer: A.) $19.48

B.) -$1.40

C.) The sign in B, the negative, means that if the price of the share were to continue dropping, then it will become negative.

Step-by-step explanation:

A. The price per share after 5 ​hours will be $19.48.

B. It will be $19.48 per share after 23 hours if this rate​ continues.

C. The sign indicates the company is at a loss.

What is the rate of change?

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that, A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour.

1 hour =  ​$1.16

5 hour =5 × $1.16

5 hours =$ 5.8 per share

The price drops per share after 5 ​hours are,

=$25.28-$ 5.8

=$19.48

B)

If the price drops by ​$1.16 each hour. The price after 23 hours will be,

1 hour =  ​$1.16

23 hour =23 × $1.16

23 hours =$ 26.68 per share

=$25.28 -$ 26.68

=-$1.40 per share

Thus, the price per share after 5 ​hours will be $19.48, It will be $19.48 per share after 23 hours if this rate​ continues and the sign indicates the company is at a loss.

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ5

Solve
8- (2x - 9) = 17 - 2x
Nchey

Answers

Answer: Infinite solutions

Step-by-step explanation:

[tex]8-(2x-9)=17-2x[/tex]

Begin by distributing the negative into the parenthesis.

[tex]8-2x+9=17-2x[/tex]

Combine like terms;

[tex]17-2x=17-2x[/tex]

Subtract 17

[tex]-2x=17-17-2x[/tex]

[tex]-2x=-2x[/tex]

Add 2x

[tex]-2x+2x=0\\0=0[/tex]

Equation: 8 - (2x - 9) = 17 - 2x

First, we distribute the - sign.

8 -2x + 9 = 17 - 2x

Then, we combine like terms if there any on both sides.

17 - 2x = 17 - 2x

Now, we can see the equations are equal to each other.

However, we can go a step further and solve for x.

17 - 2x = 17 - 2x

Subtract 17 from both sides.

-2x = -2x

Divide both sides by -2.

x = x

Therefore, x has no value or is 0.

Which equation are correct set ups to solve for the hypotenuse ** 2 answers

(Solve and Round decimal to the nearest hundredths )

Answers

Answer:x^2=2^2+4^2. x=4.47

Step-by-step explanation:

Opposite=m=2

Adjacent=n=4

Hypotenuse=x

x^2=m^2+n^2

x^2=2^2+4^2

x^2=4+16

x^2=20

x=√20

x=4.47

Find an equation, in slope-intercept form, that passes through the point (−4,3) with a slope of −3.

Answers

Answer:

y = -3x - 9

Step-by-step explanation:

Equation of line in point slope form is given as:

[tex]y - y_1 = m(x-x_1) \\

y - 3= - 3\{x - (-4)\}\\

y - 3 = - 3(x + 4)\\

y =- 3x - 12 +3\\

y = - 3x - 9\\ is \: the \: required \: equation \\ [/tex]

pls help me fill this out thanks

Answers

Answer:

6 meters

Step-by-step explanation:

This is a 30-60-90 triange.

This triangle follows a special rule:

It's side lengths are always in the ratio of [tex]1:2:\sqrt{3\\}[/tex]

The shortest edge is 1, the hypotnuse is 2, and the longer leg is root 3.

In this triangle 3 meters corresponds with 1 part.

We are trying to find what 2 parts are.

2*3=6

So v is 6 meters.

I agree with the dude or girl above. 6 because of 30-60-90.

Please help! This is Quadratic Formula and the discriminant. The answer is -3+3 square root symbol 5 over 2. Every time i try to get that answer I get a different one. Please help asap

Answers

Answer:

See explanation

Step-by-step explanation:

[tex]n^2+3n-7=2[/tex]

Subtract 2 from both sides:

[tex]n^2+3n-9=0[/tex]

Using the quadratic formula:

[tex]n=\dfrac{-3\pm\sqrt{9+36}}{2}=\dfrac{-3\pm \sqrt{45}}{2}=\dfrac{-3\pm 3\sqrt{5}}{2}[/tex]

I agree with you on the answer, have you tried both adding and subtracting the root? That is important, because there are two solutions to this problem. Feel free to discuss more and I can try to help!

Lizzie goes to the Lakeside Mall with friends. She spends $25 and returns home with $45. How much money dd in dollars does Lizzie start with? Write an equation to show the amount of money Lizzie starts with.​

Answers

Answer:

$25+$45=$70

Step-by-step explanation:

The only thing you have to do is add $25 and $45 hope this helps :)

An author published a book which was being sold online. The first month the author
sold 15800 books, but the sales were declining steadily at 5% each month. If this
trend continues, how many total books would the author have sold over the first 11
months, to the nearest whole number?

Answers

Answer:

7110 books

Step-by-step explanation:

5%*15800=0.05*15800=790

790*11=8690

15800-8690=7110

Therefore, 7110 books

Answer: 86,900

Step-by-step explanation:

I changed the 5% into decimal form and made it 0.5. Next, I multiplied 0.5 by 11, which gave me 5.5.

15,800 x 5.5 = 86,900

So, the author would’ve sold 86,900 books in the first 11 months.

(Sorry if wrong. Yeah I think I’m wrong now because I’m not even in high school. Just ignore this lol)

Factor the expression 4x^2 - 12x - 7

Answers

Answer:

(2x+1) (2x-7)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   4 • -7 = -28

Find two factors of  -28  whose sum equals the coefficient of the middle term, which is   -12

(  -28    +    1    =    -27  

     -14    +    2    =    -12  )

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  2  

                    4x2 - 14x + 2x - 7

Add up the first 2 terms, pulling out like factors :

                   2x • (2x-7)

             Add up the last 2 terms, pulling out common factors :

                    1 • (2x-7)

Add up the four terms :

                   (2x+1)  •  (2x-7)

What is the percent composition of sulfur in SO2?

Answers

Answer:

50.052%

Step-by-step explanation:

Answer:

              32.1 g

            -----------     x 100%

(32.1 g + 16.0 g + 16.0 g)  

Explanation:

A P E X :)

Please help asap! Correct answers only!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

Step-by-step explanation:

i=prt

p=principal=$90,000

r=3%=0.03 annual

t=3 years

i=90,000×0.03×3=8100 $

Answer:

$98100

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 90000 × 3/100 × 3

I = $8100

He saves = 8100 + 90000 = $98100

Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. PRIYA MADE A MISTAKE: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the MEDIAN of the data set? *

Answers

Answer:

1,2,4,6,8

And the median can be calculated from the value in the position 3th and we got 4

[tex] Median =4[/tex]

And now using the correct dataset is: 1, 18, 6, 2, 4. And if we order the dataset we got:

1,2,4,6,18

And the median for this case again would be the value in the 3th position and we got:

[tex] Median =4[/tex]

So then we can conclude that the median is unaffected by the change of 18 instead of 8

Step-by-step explanation:

For this case we have the original dataset given:

1, 8, 6, 2, 4

And the median for this dataset can be calculated with the following dataset ordered:

1,2,4,6,8

And the median can be calculated from the value in the position 3th and we got 4

[tex] Median =4[/tex]

And now using the correct dataset is: 1, 18, 6, 2, 4. And if we order the dataset we got:

1,2,4,6,18

And the median for this case again would be the value in the 3th position and we got:

[tex] Median =4[/tex]

So then we can conclude that the median is unaffected by the change of 18 instead of 8

help please!! 10 points <3

Answers

Answer:

x = 5

Step-by-step explanation:

15 / 3 =5

X=5 exactly like that person said.

x/4+9=15 I'm doing a math assignment.

Answers

Answer:

x = 24

Step-by-step explanation:

x/4+9=15

Subtract 9 from each side

x/4+9-9=15-9

x/4 = 6

Multiply each side by 4

x/4*4 = 6*4

x = 24

Answer:

[tex]x = 24[/tex]

Step-by-step explanation:

[tex] \frac{x}{4} + 9 = 15 \\ \\ \frac{x}{4} = 15 - 9 \\ \frac{x}{4} = 6 \\ 4 \times \frac{x}{4} = 6 \times 4 \\ x = 24[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

a square with an area of 9cm2. If each side has its length doubled, what is the new area?

Answers

Answer:

36

Step-by-step explanation:

A truck driver makes a trip that covers 2,380 km in 28 hours. What is the driver’s average speed?

Answers

Answer:

85km/h which is 52.82mph

Step-by-step explanation:

A) y=1.1x+23
B) y=1.25x+20
C) y=1.25+40.67
D)y+1.4+40.67

Answers

Answer:

I believe C is the correct answer because the graph starts above 40 on y axis and D is incorrect because of the y + not y=

I NEED HELP PLEASE

The improper fraction 8/3 says there are eight parts
and each part is 1/3 of a whole. What mixed number

is equivalent to 8/3 explane

Answers

Answer:

2 2/3

Step-by-step explanation:

8/3= 2 2/3

Find out how many times 3 goes into 8.

3 goes into 8: 2 times

Because

3x2=6

8-6=2

Then you keep the Denominator, 8.

Answer:

For example, since the denominator of the improper fraction 8/3 goes into its numerator 2 times—in other words, since 8 ÷ 3 = 2 remainder 2—we know that the whole number part of the mixed fraction representing the improper fraction 8/3 is 2. That's half the answer

Step-by-step explanation:

Hope this helps!!!!

A pond is initially stocked with 1000 catfish, and the fish population is then sampled each month to estimate its size. It is determined to be increasing at a rate of 1.5% each month. What is the projected population after one year?Which function represents exponential decay?

Answers

Answer:

A year is 12 months long. 1.5 percent each month would total 18 percent in a year. 18 percent of 1000 is 180. The final number of fish is 1180

Step-by-step explanation:

It's spaghetti night at Carley's house. She has 1/2 of a cup of grated cheese to sprinkle equally over 3 bowls of spaghetti. How many cups of cheese does she put in each bowl ?

Answers

Answer:

1/6 a cup on each bowl

Step-by-step explanation:

1/2 divided by 3 is 1/6

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