The first quartile of the given data is 35. find the value of x.
X 0-20/20-40/40-60/60-80/80-100
F 2 x 8 5 1​

Answers

Answer 1

The given value of the first quartile is related to the value cumulative

frequency up to the class of the first quartile.

The value of x is 1

Reasons:

The first quartile is one of the five number summary.

The number of terms, N = 2 + x + 8 + 5 + 1 =16 + x

\(\displaystyle Q_1 = \frac{N+1}{4} \ th \ value = \mathbf{\frac{17 + x}{4} \ th \ value}\)

We have;

\(\displaystyle Q_1 = \mathbf{ L + \frac{ \left (\frac{N + 1}{4} - pcf \right) }{f} \times C}\)

Where;

The first quartile, Q₁ = 35

L = 20 in the first quartile class

PCF = The cumulative frequency of the first quartile class = 2 + x

f = The frequency of the quartile class = x

C = The class size = 10

Therefore;

\(\displaystyle Q_1 = 35 = \mathbf{ 20 + \frac{ \left (\frac{17 + x}{4} - (2 + x) \right) }{x} \times 10}\)

Which gives;

\(\displaystyle 35 = \mathbf{\frac{25 \cdot x + 45}{2 \cdot x}}\)

Therefore;

70·x = 25·x + 45

45·x = 45

x = 45 ÷ 45 = 1

x = 1

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Related Questions

can someone please help me ??! and show my steps i’m so lost and need this done. :( it’s geometry

can someone please help me ??! and show my steps im so lost and need this done. :( its geometry

Answers

Answer:

8.38 m^3

Step-by-step explanation:

The volumes are in proportion to the cubes of their radii.

Compare volumes in the form  big cone / small cone.

\(\frac{131}{V_\text{small}}=\frac{5^3}{2^3}\\\frac{131}{V_\text{small}}=\frac{125}{8}\)

"Cross multiply."

\(125V_\text{small}=8\cdot131\\125V_\text{small}=1048\\V_\text{small}=\frac{1048}{125}\approx 8.34\text{ cm}^3\)

Consider the following number line

Consider the following number line

Answers

Aaaaaaaaaaaaaaaaaaaaaaa it’s a

Frank has 6 red socks, 8 black socks, and 10 white socks in his sock drawer. If Frank blindly reaches into his sock drawer, what is the probability that he will select a white sock and then another white sock? Round to the nearest percent A. 9% B. 16% C. 41% D. 80%​

Answers

Answer:

B

Step-by-step explanation:

The first probability is 10/24, and the second is 9/23. If you multiply these two fractoins you get 15/92. 15/92 is approximately equal to 16%.

50 POINTS AND BRAINLIEST IF IT INCLUDES STEPS

Create and solve a multi-step equation WORD PROBLEM that includes at least THREE STEPS (three or
more mathematical operations), that will have a final answer of 12. THE EQUATION MUST INCLUDE A
VARIABLE

Answers

Answer:

3(x-6)+9=27

Step-by-step explanation:

1. Multiply 3 to x-6

3x-18+9=27

2. add -18 and 9

3x-9=27

3. add 9 to 27

3x=36

4. Divide 36 and 3

x=12

HELP ME please. i dont understand this.

HELP ME please. i dont understand this.

Answers

Answer:

Step-by-step explanation:

Perimeter add all the sides.

so let's walk around and combine like terms:

starting on the bottom moving to the left.

3x^2 + x^2= 4x^2 (there are no other squared terms)

back to the bottom moving left again:

-11x-3x+3x+x = -10x (-3x + 3x =0)

so -11x + x = -10x

now add all of the constants

-1 + 2 = 1

so your answer is

4x^2 -10x + 1

Kate multiplies 5 numbers. One of the numbers is 0. Is it possible to know the product of Kate's number?

Answers

Answer:possibly any number multiplied by 0 is always gonna be 0

Step-by-step explanation: so yes depending I’m only in 5th so yeah sorry if it’s wrong

If you deposite €250 in a high earning account paying 9% compound interest and leave it 3 years.what will be the balance on the account at the end of that time

Answers

Answer:

ok, here is your answer

Step-by-step explanation:

Using the formula for compound interest:

A = P (1 + r/n)^(nt)

where:

A = the total amount

P = the principal amount

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

Given:

P = €250

r = 9% = 0.09

n = 1 (compounded annually)

t = 3 years

Now, substituting the given values in the formula:

A = 250 (1 + 0.09/1)^(1*3)

A = 250 (1 + 0.09)^3

A = 250 (1.09)^3

A = 250 (1.29503)

A = €323.76 (rounded to two decimal places)

Therefore, the balance in the account at the end of 3 years would be €323.76.

mark me as brainliest

Twenty-six is what percent of 40?

Answers

I believe it is 65 percent

Answer:

65%

Step-by-step explanation:

Percent means per hundred. So you could set up a ratio that shows 26/40 = x/100 and solve to give you the percent directly.

or just divide 26÷40 and change the decimal answer to a percent by moving the decimal point two places to the right. See image.

Twenty-six is what percent of 40?

Una relación cumple con la condición de que, a cada valor del ……………………….. le corresponde un valor del ………………………………….

Seleccione una:
a. codominio / conjunto de llegada
b. valor dependiente / rango
c. conjunto de partida / valor independiente
d. dominio / recorrido

Answers

Answer: d.  dominio / recorrido

Step-by-step explanation:

Una relación matemática mapea los elementos de un dado conjunto, en elementos de otro conjunto.

Los elementos de entrada vienen de un conjunto llamado dominio, y los elementos de salida son de un conjunto llamado rango.

Tal que un sinónimo de rango, es recorrido.

Entonces podemos decir que una relación mapea los elementos del dominio en elementos del recorrido.

La opción correcta es d

Question content area top Part 1 Kelsa is trying to improve her average lap time for a swim contest. In the first​ contest, her lap time was 45.26 seconds. Her time was 45.2 seconds in the second contest and 45.14 seconds in the third contest. If this pattern​ continues, what will​ Kelsa's time be in the fourth​ contest?

Answers

So, if the pattern continues, Kelsa's lap time in the fourth contest will be 45.08 seconds.

What is area in mathematics?

The area of an object is the space that it's edges enclose. A closed figure's area is determined by the number of unit squares that make up its surface. Area is measured in square meters and centimeters.

If Kelsa's lap time in the first three contests was 45.26, 45.2, and 45.14 seconds respectively, we can see that her lap time is decreasing by 0.06 seconds in each subsequent contest.

Therefore, her lap time in the fourth contest will be 45.08 seconds, obtained by subtracting 0.06 seconds from her lap time in the third contest:

45.14 seconds - 0.06 seconds = 45.08 seconds

So, if the pattern continues, Kelsa's lap time in the fourth contest will be 45.08 seconds.

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So, if the pattern continues, Kelsa's lap time in the fourth contest will be 45.08 seconds.

What does "area" in mathematics mean?

The region that an object's edges enclose is referred to as its area. The number of unit squares that make up a closed figure's surface determines how much surface area it has. Both millimeters and square meters can be used to measure area.

If Kelsa's lap time in the first three contests was 45.26, 45.2, and 45.14 seconds respectively, we can see that her lap time is decreasing by 0.06 seconds in each subsequent contest.

Therefore, her lap time in the fourth contest will be 45.08 seconds, obtained by subtracting 0.06 seconds from her lap time in the third contest:

45.14 seconds - 0.06 seconds = 45.08 seconds

So, if the pattern continues, Kelsa's lap time in the fourth contest will be 45.08 seconds.

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A and B are mutually exclusive events. P(A) = 0.20 and P(B) =
0.50.

What is P(A or B)?

Answers

the answer is .50 let me know if this helps

Which is the correct answer?

Which is the correct answer?

Answers

C because I said
So
Lol
Ahahha
Goggle

Mrs. Peters purchased 120 flowers. The total cost was $55.20. After planting all of the flowers, Mrs. Peters decided she needed an additional 18 plants. About how much should she expect to pay total for the additional flowers.

Answers

Answer: 39.13 for 18 plants

Step-by-step explanation:

120/55.20= 2.17 dollars per plant

18*2.17=39.13

An office is ordering pizza for two groups. Of the 25 workers in​ Accounting, 32​% want eggplant. The others in Accounting want pepperoni. Of the 50 people in​ Sales, 76​% want pepperoni. The others in Sales want eggplant. In​ all, how many workers want pepperoni ​pizza?

Answers

55 of the workers want pepperoni pizza.

Suppose Deandre places $5000 in an account that pays 8% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
(b) Find the amount in the account at the end of 2 years.

Answers

The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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Solve for x in the first equation, then solve the system using substitution. Write your answer as (x, y).
2x-6y=14
4x - y = 9

Answers

Answer:

( 18.4, 4.6 )

Step-by-step explanation:

2x - 6y  = 14

Add 6y to both sides

2x = 6y + 14

divide both sides by 2

             x = (3y + 7)

Substitute this ^ for x in the othe equation

4 (3y + y) - y = 9

distribute the 4

12y + 4y - y = 9

combine like terms

15y = 9

divide both sides by 15

y = 4.6

Now substitute this value for y in the equation we previously substituted .to find the value of x

x = 3 (4.6) + 4.6

x = 13.8 + 4.6

x = 18.4

Hope this makes sense and was helpful!

please answer number 2, show work

please answer number 2, show work

Answers

Answer:

its 48

Step-by-step explanation: its 48 because 6 x 8 is 48

If Farmer Jane tells you the number of rabbits on her farm starts at 100 (in year 0) and triples every year, complete the table below to show her how many rabbits she will have in 3 years.


What should the base be when something triples? ________
How do you know? Explain in words using your knowledge of exponents.

Answers

Answer:

An exponential function is written

y = abx

So we need to find a and b.

Notice that at the start of the problem, we are zero months in. In that case, x=0. Substitute zero into the exponential function, recall that (almost anything)0 equals 1 and notice that

y = ab0

y = a(1)

y = a.

Next, recall that at the start of the problem, y=10. So we have found a = 10.

Now, if the population doubles every month, what do you expect to get when x=1? Take your answer to that, along with x=1 and solve for the base b.

Find the perimeter of ABHG. Round your answer to the nearest tenth of an inch.

Find the perimeter of ABHG. Round your answer to the nearest tenth of an inch.

Answers

Answer:

Step-by-step explanation:

Find the perimeter of ABHG. Round your answer to the nearest tenth of an inch.

The juice dispenser in the cafeteria holds 30 1/3 pints of juice. The glasses in the cafeteria only hold of a pint of juice. How many full glasses can be served at breakfast?

The juice dispenser in the cafeteria holds 30 1/3 pints of juice. The glasses in the cafeteria only hold

Answers

Answer:

A) 91

Step-by-step explanation:

30 1/3 ÷ 1/3

91/3 × 3/1 = 91

What is the range of the function f(x) = 3x - 5, for the domain { -1, 2, 4}

Answers

Hope this helps!! Solved it step by step:)
What is the range of the function f(x) = 3x - 5, for the domain { -1, 2, 4}

Travel Expenses, Meals And Entertainment, Educational Expenses (LO 3.4, 3.5, 3.6) Bob is a self-employed lawyer and is required to take a week of continuing legal education every year to maintain his license. This year he paid $1,400 in course fees for his continuing legal education in a different city. He also paid $500 for airfare and a hotel room and paid $300 for meals, all of which were provided by the hotel’s restaurant. Bob also purchased a $10 bag of snacks from a newsstand while waiting for his plane in the airport because he missed lunch. What is the total amount he can deduct on his Schedule C related to these expenses? fill in the blank 1 of 1$

Answers

Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

How to calculate deductible amount?

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

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write each phrase as an algebraic expression:1) 13 added to

write each phrase as an algebraic expression:1) 13 added to

Answers

EXPLANATION

The algebraic expressions are:

1) n7

2) 4-y

3) 13 + x

4) x divided by 12

5) 10 times y

6) e added to 3

You will create an estimate in order to assist your boss in gaining the job!
The equation that is given by the customer for the pool is (units are in feet): x2 + y2 = 81
- Your performance needs to include the following calculations:
- Compute the radius and diameter of the pool.
- Compute the volume of water in the pool using the above calculations and a height of 4 ft.
- Assuming that water costs $0.22 per gallon and that pools cost $185 per foot of radius calculate the total cost of materials for the pool. Keep in mind that there are 7.48 gallons of water per square foot.
- Assuming that a pool will take 2.5 hrs. per foot of radius, compute the total labor hours for the pool.
- If you are to pay someone $19/hr, compute the total cost of labor.
- Find a total cost for the project.
- All of the above is done showing all work.
- A final paragraph that describes your steps and findings.

Answers

The solution has been explained below.

We will use the following equation, x² + y² = 81, where x and y are the pool's dimensions in feet, to determine the necessary estimations for the pool project.

1. Calculate the pool's diameter and radius:

We can infer that the radius of the pool is equal to the square root of 81 because the equation depicts a circle. As a result, r = 81 = 9 ft.

The pool's diameter is simply equal to twice its radius, or d = 2r = 18 feet.

2. Calculate the amount of water in the pool:

Since the pool is 4 feet high, we can determine its volume by multiplying the area of its circle-shaped base by the height.

The formula A = πr² can be used to calculate the area of the pool's base,

Therefore, V = Ah = πr²h = 1017.87 cubic feet represents the volume of water in the pool.

3. Determine the pool's total material cost:

There are 7.48 gallons in a cubic foot and a gallon of water costs $0.22.

As a result, Cw = V × 7.48 × 0.22 = 1017.87 × 7.48 × 0.22 = $1,619.72 is the entire cost of water for the pool.

If the radius of the pool is $185 per foot, then the cost of the materials is Cm = r × 185 = 9 × 185 = $1,665.

4. Calculate the pool's total labour hours:

A pool's construction is estimated to take 2.5 hours for every foot of its radius.

So, L = r × 2.5 = 9 × 2.5 = 22.5 hours of labour would be needed to complete this pool.

5. Calculate the total cost of labour for the project:

If you pay someone $19 per hour, Cl = L × 19 = 22.5 × 19 = $427.5.

6. Find the project's overall cost:

The project's overall cost is the product of its labour and material costs:

Cost as a whole equals Cm + Cw + Cl, which is 1,665 + 1,619.72 + 427.5, or $3,712.22.

In conclusion, the pool has an 18-foot diameter and a 9-foot radius according to the supplied equation. There are roughly 1017.87 cubic feet of water in the pool. Water and building supplies are included in the pool's projected material cost of $3,284.72. 22.5 hours of labour in total are needed, with a labour cost estimate of $427.5. Consequently, $3,712.22 is the expected final cost of the pool renovation.

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Identify the algebraic rule that would translate a figure 3 units left and 2 units up.

Identify the algebraic rule that would translate a figure 3 units left and 2 units up.

Answers

The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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NOT ARITHMETIC SEQUENCE

Answers

Answer:

its ok

Step-by-step explanation:

Use the model below to calculate
2
3
×
3
4
.

A rectangle is shown divided into 3 rows and 4 columns. 3 of the 4 columns are shaded blue.

A.
3
12
or
1
4
B.
12
12
or
1
C.
4
12
or
1
3
D.
6
12
or
1
2

Answers

Answer:

D

Step-by-step explanation:

i already did the test

Answer:

d

Step-by-step explanation:

Graph: f(x) = |x – 2| – 4

Step 1: Identify the translation. The parent absolute value function is translated 2 units. and 4 units

Step 2: The vertex of the parent is (0, 0). Plot the vertex of the translated function two units to the right and four units down from (0, 0).

Step 3: Evaluate the function at one more point to the left of the vertex.
f(1) =

Step 4: Use symmetry to find another point. Another point is

Step 5: Plot the points (1, -3) and (3, -3).

Step 6: The straight lines through these points show the graph of the function
__________________
Step 1: to the right; down
Step 3: -3
Step 4: (3,-3)​

Graph: f(x) = |x 2| 4 Step 1: Identify the translation. The parent absolute value function is translated

Answers

This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.

Graphing modulus function

Modulus of a function are positive value of a function. Given the modulus expression as shown

f(x) = |x – 2| – 4

This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.

The resulting graph of the function is as shown below;

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Graph: f(x) = |x 2| 4 Step 1: Identify the translation. The parent absolute value function is translated

Regina deposits $4,500 in a savings account that pays 7 1/2% interest, compounded semiannually. How much interest does the account earn in the second six months?

Answers

Answer:

uh I'm going to say it's 3,000 sorry if I'm wrong

Step-by-step explanation:

Evaluate the algebraic expression for the given values of the variables

Evaluate the algebraic expression for the given values of the variables

Answers

Answer: substitute the given number for the variable in the expression and then simplify the expression using the order of operations

Step-by-step explanation:3a2 - 4b2 for a = -3/4 and b = 1/2

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