scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. what is the minimum score you would need to be in the top 7%?a. 0.93b. 1.48c. 85.4d. 81.4

Answers

Answer 1

Answer:

I don’t understand

Step-by-step explanation:

I had the same one


Related Questions

Transcribed image text: I pts Assume a businessman has 6 suits and 8 ties. He is planning to take 3 suits and 4 ties with him on his next business trip. How many possibilities of selection does he have? Question 27 6 pts Records of a company show that 20% of the employees have only a high school diploma; 70% have bachelor degrees; and 15% have graduate degrees. Of those with only a high school diploma, 10% hold management positions; whereas, of those having bachelor degrees, 60% hold management positions. Finally, 85% of the employees who have graduate degrees hold management positions. a. Create a tree diagram representing the above situation. (2 points) b. What percentage of employees hold management positions? (2 points) Given that a person holds a management position, what is the probability that she/he has a graduate degree? (2 points) C. Upload Choose a File

Answers

a. The tree diagram representing the above situation is illustrated below.

b. The percentage of employees hold management positions is 10%

c. The probability that she/he has a graduate degree is 85%.

In this case, the businessman can choose any 3 suits and 4 ties, so the number of combinations is equal to the number of ways of choosing 3 suits multiplied by the number of ways of choosing 4 ties.

This is equal to 6 x 8 = 48.

The records of the company also provide us with some useful information about the probability of holding a management position.

We can see that 20% of the employees have only a high school diploma and 10% of those employees hold management positions.

This means that the probability of holding a management position given that a person has a high school diploma is 10%.

Similarly, of those having bachelor degrees, 60% hold management positions, meaning the probability of holding a management position given that a person has a bachelor degree is 60%.

Lastly, 85% of the employees who have graduate degrees hold management positions, so the probability of holding a management position given that a person has a graduate degree is 85%.

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Bonjour,
Pouvez vous m'aider s'il vous plait, c’est pour m’expliquer ceci: Il faut montrer que pour tout n de N, Un+1-Un=1/3(n+3-Un)
Je voudrais savoir comment on fait pour obtenir ceci: Un+1-Un= 2/3Un+1/3n+1 =-1/3Un+1/3n+1 =1/3(n+3-Un) Je ne comprends pas à partir de la 2eme ligne. Merci d’avance ^^

Answers

Bonjour !

Pour obtenir la deuxième ligne de l'équation que vous avez donnée, on peut tout simplement développer le terme Un+1 en utilisant la définition de Un+1 donnée par la relation de récurrence :

Un+1 = 2Un + 1/3(n+1)

En remplaçant Un+1 dans l'expression Un+1 - Un, on obtient :

Un+1 - Un = (2Un + 1/3(n+1)) - Un

On simplifie l'expression en combinant les termes similaires :

Un+1 - Un = 2Un - Un + 1/3(n+1)

Un+1 - Un = Un + 1/3(n+1)

Maintenant, pour obtenir la troisième ligne de l'équation, on peut factoriser Un - Un+1 en utilisant le signe moins :

Un - Un+1 = - (Un+1 - Un)

Un - Un+1 = - (Un+1 - 2Un - 1/3(n+1))

Un - Un+1 = - (-2Un - Un+1 - 1/3(n+1))

Un - Un+1 = 2/3Un + 1/3(n+1) - 1/3Un - 2/3Un - 1/3(n+1)

On simplifie à nouveau en combinant les termes similaires :

Un - Un+1 = -1/3Un + 1/3(n+1)

Enfin, pour obtenir la quatrième ligne de l'équation, on utilise l'associativité de l'addition pour regrouper les termes :

Un - Un+1 = -1/3Un + 1/3(n+1)

Un - Un+1 = 1/3(n+1) - 1/3Un

Un - Un+1 = 1/3(n+3 - Un)

J'espère que cela vous aide à comprendre la démonstration de cette relation de récurrence. N'hésitez pas à me poser d'autres questions si vous en avez besoin !

A fruit company packages its fruit into two types of boxes: large and small. This morning, the company made two deliveries. The table below shows the number
of boxes in each delivery and the total weight (in kilograms).

Answers

The weight of each box is 13.5 and 6.25 kg

What is equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is a system of equations,

8x+4y = 133....(i)

3x+2y = 53....(ii)

Solving the equations,

Multiplying the eq(ii) by 2 and subtracting by eq(i)

8x+4y = 133 - (6x+4y = 106)

2x = 27

x = 13.5

Put x = 13.5 in eq (ii)

3(13.5) + 2y = 53

2y = 12.5

y = 6.25

Hence, the weight of each box is 13.5 and 6.25 kg

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how to convert milliliters to cups

Answers

The conversion of millilitres to cups varies by nation because various countries define a cup differently.  but as per the US standards 1 cup = 236.588 ml.

In the United States, one cup equals 236.588 millilitres, but in the United Kingdom, one cup equals 284.131 millilitres.

As a result, we may write by the standard unit conversion that 1 cup = 236.588 ml.

For consistent outcomes in cooking and baking, exact ingredient proportions are essential. As a result, we apply the relation 1 cup = 236.588 ml to do the conversion as needed.  

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Your Aunt Ruth has $610,000 invested at 6.5%, and she plans to retire. She wants to withdraw $40,000 at the beginning of each year, starting immediately. How many years will it take to exhaust her funds, i.e., run the account down to zero? a) 46 years b) 36 years c) 43 years d) 33 years

Answers

18.42 years will it take to exhaust her annuity, i.e., run the account down to zero

Given the following information,

PV = $610,000

i = 6.5%

PMT = $40,000/year

The number of years for Ruth to exhaust all her funds from the account is 18.42

Using the financial calculator, we can easily find the value of n equals to 18.42 years in which the account finishes to zero.

n = 18.42 years

An annuity is a contract between you and an insurance company that requires the insurer to make payments to you, either incontinently or in the future. You buy an subvention by making either a single payment or a series of payments.

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Mara earned $25 for two hours of babysitting. How much can she expect to earn for 5 hours of babysitting? Explain your reasoning.

Answers

hello,

we already know that for 2 hours of babysitting, Mara earned $25.

to find how much she'd make for 5 hours of babysitting:

divide 25 by 2 which gets us 12.50.

if mara were to babysit for 5 hours, she'd make $62.50.

I hope this was helpful =]

Helpppp MEE
Pleaseee

Answers

(x+5)^2 + (x-2)^2 = 25 is the required equation of the circle

Determining the equation of a circle

The standard equation of a circle is expressed according to the equation below:

(x-a)^2 + (y-b)^2 = r^2

where

(a, b) is the centre

r is the radius

From the given digram, the center is at (-5, 2)

r^2 = (6-2)^2 + (-5+2)^2

r^2 = 4^2 + (-3)^2
r^2 = 16 + 9

r^2 = 25

Substitute

(x - (-5))^2+(x-2)^2 = 25

(x+5)^2 + (x-2)^2 = 25

Hence the required equation of the circle is (x+5)^2 + (x-2)^2 = 25

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The formula below, Newton's law of cooling, allows us to calculate the temperature of an object as it cools.

T = R + (T0 − R)e-kt
T = temperature of the object after t minutes
T0 = initial temperature
R = temperature of the surroundings
k = cooling rate (depends on the object and conditions)

Suppose the temperature in Denver, Colorado was 55°F when a 5°F arctic cold front moved over the state. Using k = 0.012, how long would it take a puddle of water to freeze? (Recall that water freezes at 32°F.)

Answers

It would  51.35 minutes take a puddle of water to freeze.

What is the initial temperature?

Initial temperature refers to the average interior temperature of the coldest processing container at the start of the thermal processing cycle, as determined after a thorough stir or shake of the filled and sealed container.

The given equation is T = R + (T₀ − R)[tex]e^{(-kt)}[/tex].

T = temperature of the object after t minutes

T₀ = initial temperature

R = temperature of the surroundings

k = cooling rate (depends on the object and conditions)

The initial temperature is 55°F. The water freezes at 32°F. Thus final temperature is 32°F. The value of k is 0.012.

Now putting T = 32°F, T₀ = 55°F, R = 5°F, k = 0.012 in the given equation:

32 = 5 + (55 − 5)[tex]e^{(-0.012t)}[/tex]

Subtract 5 from both sides:

27 = 50[tex]e^{(-0.012t)}[/tex]

Divide both sides by 50:

[tex]e^{(-0.012t)}[/tex] = 27/50

Taking natural logarithms on both sides:

ln[tex]e^{(-0.012t)}[/tex] = ln(27/50)

-0.012t = -0.616

t = 51.35

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A dish has an area of 400 square inches. What is the length of the radius rounded to the nearest tenth of an inch?

Answers

Answer:

11.3 inches

4th option

Step-by-step explanation:

Area of a circular object = πr² where r = radius

Given area = 400 square inches,

πr² = 400 square inches

r² = 400/π

r = √(400/π)

r = 20/√π

= 11.3 inches rounded to one decimal place(tenth)

When performing a statistical analysis, why do we usually work with a sample rather than an entire population?
Select one:
a. The p-values only work with samples, not populations.
b. A t-test doesn't produce results when a population is used.
c. We don't work with samples, we only work with entire populations.
d. We often lack the manpower and resources to gather an entire population for a statistical analysis

Answers

When performing a statistical analysis, we work with sample rather than the entire population because, we often lack manpower or resources to gather data. So option D is correct.

Statistical work is usually done with a sample. This is done because, if we try to include and collect data from the whole population, it will be very time consuming and need more manpower and resources. It will become a much tedious process.

So a sample which is representative of the whole population is needed. Selecting a sample size and determining the sample must follow certain criteria. They are population parameters we want to estimate, Cost of sampling, Variability of the population, how hard is it to collect data and how precise we want the final estimates to be. All these are taken into consideration and a sample that properly represent the population is determined without bias.

So, option D is the correct answer.

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Question content area top
Part 1
A​ person's blood type is denoted with the letters​ A, B, and​ O, and the symbols​ + and. The blood type​ A+ is read as A positive. The blood type B is read as B negative. Use the data to write a ratio for the comparison in 3 different ways. ​+ donors to ​+ donors
LOADING. Click the icon to view the data. Question content area bottom
Part 1
The ratio using the word​ "to" is

42 to

29. ​(Type whole​ numbers. )
Part 2
The ratio using a colon is

enter your response here​:

enter your response here. ​(Type whole​ numbers. )

Answers

By using the data table, a ratio for each comparison in three different ways should be written as follows;

The ratio of O+ donors to B+ donors is 9:2.

The ratio of A- donors to B+ donors is 21:20.

The ratio of AB+ donors to total donors is 6:195.

How to determine and write the ratio for each comparison?

In order to determine and write the ratio for each comparison, we would have to assign variables to the chosen blood group donors respectively:

Let the variable O represent O+ donors.Let the variable B represent B+ donors.Let the variable ABN represent AB- donors.Let the variable ABP represent AB+ donors.

From the information provided above, we have the following parameters:

O = 90 donors.

B = 20 donors.

Now, we can write the ratio as follows;

O:B = 90:20

Dividing by 10, we have the following ratio:

O:B = 9:2

ABN:ABP = 4:6

Dividing by 2, we have the following ratio:

ABN:ABP = 2:3

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Jamie rents a photocopier from a company that charges $20 each month plus $0.02 for each copy. Write a linear equation for the monthly charge, C dollars, in terms of the number of copies, n

Answers

The linear equation for the photocopier will be y = $20C + $0.02n.

Linear equation -

In a linear equation, a first-degree polynomial is defined as the sum of a group of terms, where each term is the product of a constant and the first power of a variable. An equation with n variables is said to be linear if it has the formula a0 + a1x1 +... + anxn = c, where x1,..., and xn are variables, the coefficients a0,..., and an are constants, and c is a constant. If there are multiple variables, some of the variables in the equation may be linear while others may not be.

Given,

Jamie rents a photocopier from a company that charges $20 each month

$0.02 for each copy

monthly charge = C

number of copies = n

So, the linear equation will be y = $20C + $0.02n

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PLS ANSWER HURRY!!!!! ILL GIVE BRAINLEIST
List three sides to a right triangle. Explain how you can use the Pythagorean theorem to know that your three sides will create a right triangle.

Answers

Answer:

Step-by-step explanation:

A RIGHT triangle has TWO LEGS and a HYPOTENUSE ( the longest side)

Pythagorean Theorem for right triangles states:

Hypotenuse ^2  =  Leg1 ^2 + Leg2 ^2    

    if you sub in the three sides of the triangle and this is TRUE , it is a RIGHT triangle .

3 3/4 divided by 3/8

Answers

Answer:

[tex] \to \green{3\dfrac{3}{4}} \red\div \blue{ \dfrac{3}{8} }[/tex]

[tex] \to \rm \green{ \dfrac{15}{4} } \red \times \blue {\dfrac{8}{3} }[/tex]

[tex] \to \green{ \dfrac{ \cancel {15}^{5} }{ \cancel4}}\red\times\blue{\dfrac{ \cancel {8}^{2} }{ \cancel3} }[/tex]

[tex] \huge\boxed{\rm \color{cyan} \to10} [/tex]

[tex] \colorbox{gold}{Answer By} \: \: \: \\ \underbrace \colorbox{cyan}{ \color{purple}{SublimeRanter}}[/tex]

Answer:

10.

3 3/4 can be changed to 15/4.

Then you can use the, "Keep, Change, Flip" method:

15/4 * 8/3

Then multiply the numerators and denominators together:

15 * 8 = 120

4 * 3 = 12

Resulting with = 120/12

Now divide thew numerator by the denominator to get you final product:

120 / 12 = 10

The final answer is 10!

Step-by-step explanation:

Hope it helps! =D

A games console costs £255 in the uk. The same one costs 300 euros in france.
The exchange rate is £1 - €1.16
is it cheaper to buy the games console in the uk or france
show your working

Answers

It is cheaper to buy the games console in the UK.

What is Measurement unit?

Measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

A games console costs £255 in the UK.

And, The same one costs 300 euros in France.

Here, The exchange rate is,

⇒ £1 = €1.16

Hence, The cost of games console in UK is,

⇒ £1 = €1.16

⇒ £255 = €1.16 × 255

              = €295.8

Thus, It is cheaper to buy the games console in the UK.

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take a look at the pic help meeeeee

Answers

Answer:

No

Step-by-step explanation:

The way to show this expression is 6(4+5) because "and" is showing the distributive property.

The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is
recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been
found to be 69 with a standard deviation of 7.6. Assume that the distribution is approximately normal.
Find the probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg.
Find the probability that an elite athlete has a maximum oxygen uptake of at most 58.36 ml/kg.
Find the probability that an elite athlete has a maximum oxygen uptake of 58.36 ml/kg.

Answers

The probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg is 0.0217.The probability that an elite athlete has a maximum oxygen uptake of at most 58.36 ml/kg is 0.0869.The probability that an elite athlete has a maximum oxygen uptake of exactly 58.36 ml/kg is 0.Solving for the Probabilities , we have:

We are given that the distribution of maximum oxygen uptake for elite athletes is approximately normal with mean 69 and standard deviation 7.6.

To find the probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg, we need to standardize the value using the formula:

z = (x - μ) / σ

where,

x = the value of 84.2 ml/kg

μ = the mean of 69 ml/kg

σ = the standard deviation of 7.6 ml/kg.

Plugging in the values, we get:

z = (84.2 - 69) / 7.6

    = 2.03

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being greater than or equal to 2.03 is 0.0217. Therefore, the probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg is 0.0217.

To find the probability that an elite athlete has a maximum oxygen uptake of at most 58.36 ml/kg, we again need to standardize the value:

z = (58.36 - 69) / 7.6

   = -1.36

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being less than or equal to -1.36 is 0.0869. Therefore, the probability that an elite athlete has a maximum oxygen uptake of at most 58.36 ml/kg is 0.0869.

Finally, to find the probability that an elite athlete has a maximum oxygen uptake of exactly 58.36 ml/kg, we need to use the fact that the normal distribution is a continuous distribution, which means that the probability of a specific value is zero. Therefore, the probability that an elite athlete has a maximum oxygen uptake of exactly 58.36 ml/kg is 0.

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The perimeter of a regular hexagon is 90 feet.

What is the area of the hexagon?

rounded to the nearest tenth in the box.

Answers

We know that the area of the given hexagon whose perimeter is 90ft is 584.56715 ft².

What is a hexagon?

A hexagon, also known as a hexagon, is a six-sided polygon that forms the shape of a cube in geometry.

Any simple hexagon has 720° of internal angles in total.

No matter what kind of hexagon it is, they all have six sides.

This implies that all types of hexagons—regular, irregular, concave, and convex—have six sides apiece.

So, we know that the perimeter of the hexagon is 90ft.

Formula: 6a

Then, calculate the side as follows:

P = 6a

90 = 6a

a = 90/6

a = 15

Then, the area of the hexagon:

= 3√3/2a²

= 3√3/2*15²

= 584.56715

Therefore, we know that the area of the given hexagon whose perimeter is 90ft is 584.56715 ft².

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a kite is held by a taut string pegged to the ground. the string is 40 feet long and makes a 33 degree angle with the ground. supposing that the ground is level, find the vertical distance from the ground to the kite.

Answers

Answer:

height = 21.8 ft from ground

Step-by-step explanation:

see photo for explanation.

what is the solution for the following system of equations? -y + 3x = 6 and y = -6x + 12

Answers

The answers to the equations y = -6x + 12 and y = -y + 3x = 6 are x = 2 and y = 0, respectively.

What does "system solution" mean?

A location that satisfies every equation in a system of linear equations is the system's solution. You can graph a set of linear equations and find their points of intersection, or you can use algebra to figure out the variables.

Using substitution, we may solve by replacing y in the first equation with the second equation:

-(-6x + 12) + 3x = 6

Share the ominous symbol

6x - 12 + 3x = 6

combining similar terms

9x - 12 = 6

Separate the variable and add 12 to both sides to find the value of x:

9x = 18

x = 2

Substitute 2 with x in any equation to find the value of y:

-y + 3(2) = 6.

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solving systems of equations by substitution examples 3x + y = 13. 5x -2y = 7.

Answers

Answer:

x = 3, y = 4

Step-by-step explanation:

3x + y = 13

5x - 2y = 7

To solve by substitution, you solve one of the equations for a variable, and then plug it into the other equation.

I'm going to choose to solve the first equation for y, as that will be the easiest.

y = -3x + 13 (subtract 3x from both sides)

Now we plug this equation into the y in the second equation and solve for x.

5x - 2(-3x + 13) = 7 (distribute)

5x + 6x - 26 = 7 (combine like terms)

11x - 26 = 7 (add 26 to both sides)

11x = 33

x = 3

Now that we know x is 3, we can plug it in a solve either equation for y.

y = -3(3) + 13

y = -9 + 13

y = 4

The function f is defined by f(x)=e^(−x )(x^(2)+2x). At what values of x does f have a relative maximum?
A) x=−2+√2 and x=−2−√2
B) x=−√2 only
C) x=−2 and x=0
D) x=√2 only

Answers

At the value of x = [tex]-\sqrt{2}[/tex] only f has a relative maximum. So option B is correct.

To find the relative maximum of a function, we need to look for the values of x where the derivative of the function is zero or does not exist. Therefore, we need to find the derivative of the function f(x) first.

[tex]f(x) = e^{(-x)} * (x^2 + 2x)[/tex]

[tex]f'(x) = e^{(-x)} * (2 - x^2)[/tex]

To find the critical points of f(x), we need to solve the equation f'(x) = 0.

[tex]e^{(-x)} * (2 - x^2) = 0[/tex]

This equation is satisfied when [tex]2 - x^2 = 0[/tex] or [tex]e^{(-x)} = 0[/tex].

The equation [tex]2 - x^2 = 0[/tex] has two solutions: [tex]x = -\sqrt{2}[/tex] and [tex]x = \sqrt{2}[/tex].

The equation [tex]e^{(-x)} = 0[/tex] has no solutions.

Now, we need to determine whether each critical point is a relative maximum or a relative minimum. We can use the second derivative test for this.

[tex]f''(x) = e^{(-x)} * (x^2 - 4)[/tex]

At x = [tex]-\sqrt{2}[/tex], [tex]f''(- \sqrt{2}) < 0[/tex], so f has a relative maximum at [tex]x = -\sqrt{2}[/tex].

At x = [tex]\sqrt{2}[/tex], [tex]f''(\sqrt{2}) > 0[/tex], so f has a relative minimum at [tex]x = \sqrt{2}[/tex].

Therefore, the answer is B)  x=−√2 only.

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if 2 distinct numbers are chosen from the set below at random, what is the probabilityt that their sum will be greater than 100?
( 1, 5, 10, 100 )

Answers

Answer:0.50

Step-by-step explanation:

{1 , 5 , 10 , 100)

Two numbers can be chosen from the above set of four numbers in 4C2 ways.

4C2 = 4!/(2!*2!) = (4*3*2!)/)2*2!) = 12/2 = 6

Two numbers can be chosen from the above set of four numbers in 6 ways.

The pair of numbers which give a sum greater than 100 is (1,100) , (5,100) , (10,100).

3 pairs out of 6 total pairs will give a sum greater than 100.

P(sum > 100) = 3/6 = 1/2 = 0.50

P(sum > 100) = 0.50

0.50

Can someone help me on this?

Answers

The correct linear equation for the table is,

⇒ y = - 5x - 2

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The table is shown in figure.

Now, Let two points from the table are (4, - 22) and (3, - 17).

Hence, Equation of linear function is,

⇒ y -  (- 22) = (- 17 - (-22)) / (3 - 4) (x - 4)

⇒ y + 22 = (5/- 1) (x - 4)

⇒ y + 22 = - 5 (x - 4)

⇒ y + 22 = - 5x + 20

⇒ y = - 5x + 20 - 22

⇒ y = - 5x - 2

Thus, The correct linear equation for the table is,

⇒ y = - 5x - 2

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Statistics and probability maths question, should be easy. Working out is required please. 25 pts.

Answers

Answer:

................ ⅓........

Due nowww please help mee

Answers

Answer:

Step-by-step explanation:

I cant see

Find the value of each markup or discount. 1. original $10.00 percent of markup: 20%​

Answers

The value of the markup is $12

How to determine the value of the markup

From the question, we have the following parameters that can be used in our computation:

Original $10.00 percent of markup: 20%​

The markup price is calculated as

Markup Price = Original; * (1 + Markup)

Substitute the known values in the above equation, so, we have the following representation

Markup Price = 10 * (1 + 20%)

Evaluate

Markup Price = 12

Hence, the price is $12

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14. A manager of an apartment complex conducts a survey of the teenagers
in the building about what new activities they would like to see happen in the
community room on Saturdays for teens.

a. Are the data numerical or categorical?

Answers

Answer:

The data in this scenario would most likely be categorical, as the responses would likely consist of categories or labels that describe the different activities that the teenagers would like to see in the community room on Saturdays.

Step-by-step explanation:

For example, the responses might include categories such as "video games," "board games," "movie nights," "sports activities," "arts and crafts," and so on. These categories are not numerical values, but rather descriptive labels.

What is the probability of at least one head in two coin tosses?

Answers

From the given information, the probability of getting at least one head in two coin tosses is 3/4 or 0.75.

A coin toss is a random event in which a coin is flipped and the outcome is either heads or tails. The outcome of a coin toss is not dependent on any previous tosses, and each toss is considered to be independent of the others.

The probability of getting at least one head in two coin tosses can be calculated as follows:

There are four possible outcomes when tossing two coins: HH, HT, TH, and TT, where H represents heads and T represents tails. Out of these four outcomes, three have at least one head (HH, HT, TH), and only one has no heads (TT).

Learn more about probability here: brainly.com/question/14192140

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Find the value x given angles? ​

Answers

Answer:

x=60

Step-by-step explanation:

180 is the some of the angle of an triangle

in the left triangle the angle is = 180-70-75=35

in the right triangle the angle is=180-35-60=85

x=180-80-45=60

Answer:

Step-by-step explanation:

Remember: The three interior angles of a triangle will always add up to 180 degrees.

In order to solve for x, we need to solve for other missing angles

1) Solve for the missing angle on the triangle to the left.

180 - 75 -70 = 35 degrees.

2) Solve for the missing angle on the triangle to the right (not x).

180 - 60 - 35 = 85 degrees

3) Finally, solve for the x angle by subtracting 45 and 85 from 180. x = 50 degrees.

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