The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. What is the largest a bedroom can be and be among the smallest 25% of bedrooms in a home?

Answers

Answer 1

Answer:

197.095

Step-by-step explanation:

Mean, m = 219 ft²

Standard deviation, s = 32.5 ft²

For a bedroom to be among the smallest 25%

P(x < Z) = 0.25

From Z probability calculator, this corresponds to a Zscore of - 0.674

Recall :

Zscore = (x - m) / s

x = bedroom size

-0.674 = (x - 219) / 32.5

-0.674 * 32.5 = x - 219

-21.905 = x - 219

x = - 21.905 + 219

x = 197.095

Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095


Related Questions

percent error between 20 and 16

Answers

Answer:

25%

Step-by-step explanation:

[tex]\frac{(20-16)}{|16|}[/tex]|×100

 [tex]\frac{4}{16}[/tex]×100

=0.25×100

=25%

=25%error

3x2 = 30 a) + 10 b) + V10 c) + 15 d) 30.​

Answers

Answer:

x = √10

Step-by-step explanation:

3x² = 30

Divide both sides by 3.

x² = 10

x = √10

Amswer would be a 6+5=12

use mathematical induction to prove the statement is true for all positive integers n. 6 + 12 + 18 + ... + 6n = 3n(n + 1)​

Answers

Answer:

Step-by-step explanation:

6+12+18+....6n=3n(n+1)

Proof by induction

True for n = 1

6 = 3(1)(1+1)

Assume true for n = k

6+12+18+....6k=3k(k+1)

Then show that

6+12+18+....6(k+1)= 3(k+1)(k+1+1)

We add 6(k+1) to both sides of

6+12+18+....6k=3k(k+1)

6+12+18+....6k +6(k+1) =3k(k+1) + 6(k+1)

= 3(k+1)(k + 2)

= 3(k+1)(k+1+1)

So true for n = k+1

Since true for n=1 it is true for n=2,3,...

Thus true for all natural numbers n by mathematical induction

Which one is the even number:
116,318,162,230,180,155

Answers

Answer:

they are all even numbers except for 155

Step-by-step explanation:

Select the correct answer.
What is the least common multiple of the numbers 5, 25, and 15?
A.
25
B.
50
C.
75
D. 100
OE.
125

Answers

Answer:

C. 75

Step-by-step explanation:

First, list the multiples of each numbers and stop when you reach the least common multiple (the smallest number the numbers can multiply up to):

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75 . . .

25: 25, 50, 75 . . .

15: 15, 30, 45, 60, 75 . . .

5 times 15 is 75, 25 times 3 is 75, and 15 times 5 is 75. Their LCM is 75.

The answer is C. 75

Select the correct answer.
What is the inverse of function f?

Answers

the correct answer is b and a

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Volume=3.14(pi) r (radius)^2 h/3
3.14*3^2*8/3=75.39 cm

75.39cm

Answer:

I think it might be 301.59,im not completely sure tho

0.6x = 31.2 ( it's multiplication)​

Answers

X = 52 would be the answer you get.

Explanation you would divide both sides by 0.6 which leaves the x and by dividing 31.2 divided by 0.6 it gives you 52

0.23 is a whole number?​

Answers

Answer:

0.23 is a fraction and there is no way to represent it as a whole number.

hope it helps :)

Step-by-step explanation:

help PLZZZZZZZZ NUMBER 4

Answers

Answer:

I cannot see number 4

Step-by-step explanation:

r

This is what I have, positive it’s correct

Determine which measure of center best represents the data?

Answers

Answer:

Step-by-step explanation:

There is one value 9 which is a lot less than the rest of the values.

I would the median is the best.

A photographer charges $200 to take photos of a group of up to 6 people, and an extra $25 per additional person if there are more than 6 people. The function f(n) , the total cost in dollars, depends on n , the number of people in the group. Assuming that there are at least 6 people in the group, which function correctly represents this situation?
A
f(n)=200(n−6)+25

B
f(n)=25n+200

C
f(n)=25(n−6)+200

D
f(n)=200n+25

Answers

Answer:

C

Step-by-step explanation:

Function that represents the situation correctly is f(n)=25(n−6)+200.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given, a photographer charges $200 to take photos of a group of up to 6 people, and an extra $25 per additional person if there are more than 6 people.

Let n= 6 means group of 6 people.

So substituting the value n= 6;

In the option A, f(6) = 25

In the option B , f(6) = 350

In the option C , f(6) = 200

In the option D , f(6) = 1225

Here, only option C matches with the given photographer's charges for 6 people.

Therefore, function that represents the situation correctly is f(n)=25(n−6)+200.

To learn more about the function;

brainly.com/question/28303908

#SPJ2

Simplify each expression.
a.
9x + 6 - 4x - 2x + 1 - 15
b.
(6x2 – 2x + 5) + (2x2 – 7x – 11)
С
7x2-5 - 2x - 3+ 5

Answers

Answer:

a) 3x-8 b) 8x^2-9x-6 c) 7x^2-2x-3

Step-by-step explanation:

a) 9x+6-4x-2x+1-15

9x-4x-2x+6+1-15

5x-2x+7-15

3x+7-15

3x-8

b) (6x^2-2x+5)+(2x^2-7x-11)

6x^2+2x^2-2x-7x+5-11

8x^2-9x-6

c) 7x^2-5-2x-3+5

7x^2-2x-8+5

7x^2-2x-3

if your car can travel 10km on every litre of petrol.how much petrol you will need to drive 1000 km??​

Answers

100 liters because 1000/10=100

please please please helpppp

Answers

840 in 2 hours is the answer

Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded.Then,an event is described as:the sum of the two up faces are recorded. Describe the random variable, X, in this event.Writethe sample space of this event. Calculatethe probability of rolling a 4, and probability of rolling a 12.

Answers

Answer:

1.The random variable X can take any value from( 2,- ----,12) in the event of the sample space.

2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3),  (2, 2),(3, 1),  (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6),  (2, 5),(3, 4),(4, 3),(5, 2), (6, 1),   (2, 6),(3, 5),   (4, 4), (5, 3), (6, 2),(3, 6), (4, 5),  (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6),  (6,5),(6,6)]

3. The probability of getting a 4 =   1/12

4. The probability of getting a 12 = 1/36

Step-by-step explanation:

There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .

The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]

The random variable X can take any value from( 2,- ----,12) in the event of the sample space.

The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3),  (2, 2),(3, 1),  (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6),  (2, 5),(3, 4),(4, 3),(5, 2), (6, 1),   (2, 6),(3, 5),   (4, 4), (5, 3), (6, 2),(3, 6), (4, 5),  (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6),  (6,5),(6,6)]

that is it has all the possible outcomes of both the dice.

The probability of getting a 4= Number of fav outcome/ no of possible outcomes=  3/ 36= 1/12

The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36

use the graph f(x)=-x²+8x+20 to determine the values of: p for which -x²+8x+p=0 will have equal roots​

Answers

According to the discriminant of the quadratic equation, it will have equal roots for p = -16.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 rational solutions.If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has equal roots.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.

In this problem, the equation is:

[tex]f(x) = -x^2 + 8x + p[/tex]

Hence the coefficients are a = -1, b = 8, c = p.

It has equal roots if [tex]\Delta = 0[/tex], hence:

[tex]b^2 - 4ac = 0[/tex]

[tex]8^2 + 4p = 0[/tex]

[tex]4p = -64[/tex]

[tex]p = -16[/tex]

More can be learned about the discriminant of a quadratic equation at https://brainly.com/question/19776811

Johnny has 6 times 3 bottles of Dawn dish soap, how much Dawn dish soap does he have? Why does he NEED that many Dawn dish soap.

Answers

Answer:

I was wondering the same thing! like what was Johnny using that much soap for....? btw I loI that video

This list shows the average annual rainfall, in inches, recorded by a weather station over a period of twelve years.



18, 2, 26, 1, 13, 4, 11, 12, 14, 9, 1, 4


Which box plot best represents the set of data?

Answers

Answer:

i thin C could be wrong

Step-by-step explanation:

Answer:

It’s a

Step-by-step explanation:

Find the missing angles in the diagram below (pls help no links)

Answers

Step-by-step explanation:

here you have the answers

Michelle and matthew bake carrot cake at their bakery. For every 9 cups of shredded carrots they use, they use 6 cups of sugar. How many cups of shredded carrots will they use if they use 14 cups of sugar?

Answers

Answer: 21 cups of shredded carrots.

Step-by-step explanation:

For every 9 cups of shredded carrots they use, they use 6 cups of sugar.

To use one cup of sugar therefore, the number of cups of shredded carrot is:

= 9/6

= 1.5 cups of shredded carrot

For every 1.5 cups of shredded carrot, a cup of sugar is used.

If they were to use 14 cups of sugar, they would therefore use:

= 14 * 1.5 cups of carrot

= 21 cups of shredded carrot

Om escalação de R$ 3,8 bilhões, Brasil tem a 3ª seleção mais cara do mundo Os 11 titulares da equipe da CBF valem juntos 639 milhões de euros (R$ 3,8 bilhões) [...] Dentro do continente sul-americano, o Brasil sobra. Quem mais se aproxima do seu valor de mercado é a Argentina, décima colocada no ranking geral, que tem uma equipe avaliada em 406 milhões de euros (R$ 2,4 bilhões). Com escalação de R$ 3,8 bilhões, Brasil tem a 3ª seleção mais cara do mundo. Disponível em: . Acesso em: 08 out. 2020. De acordo com a reportagem, qual é a diferença, em reais, entre os valores de mercado das seleções brasileira e argentina? A 1 400 B 1 400 000 C 1 400 000 000 D 1 400 000 000 000

Answers

C the answer I think

Here is an inequality:
3x + 2
12
Select all of the values that are a solution to the inequality.
= -1
2= -3
x=0
C = -2
1
2= 2
2 = 3

Answers

The answer is 2=3 por nadaaaaa

what operation do you use to find the power of bases



please answer quick

Answers

i believe its exponent

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Answers

Answer:

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wasd is the moving mechanics in minecraft

What is the measure of the missing angle?

Answers

Answer:

25°

Step-by-step explanation:

These types of figures have 3 angles, which add up to 180°. If you found the 2 angles already, you can find the last one by adding both angles together and using 180° to deduct it with the total degree of thd 2 angles.

127 + 28 = 155

180 - 155 = 25

Alina drew a model of a square pyramid. The dimensions of the model are
shown in the diagram.

Answers

Answer:

400

Step-by-step explanation:

Volume=⅓*B*h

B=10×10=100

Bh=100×12=1200

then divide by

1200÷3=4

The volume of a pyramid with a square base is 400 cm³.

What is a pyramid?

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

Now,

Height = 12 cm

Base area = 10² = 100 cm²

Now,

Volume.

= 1/3 x 100 x 12

= 400 cm³

Thus,

The volume of a pyramid with a square base is 400 cm³.

Learn more about pyramid here:

https://brainly.com/question/17615619

#SPJ7

i am having a very hard time remembering Negative and Positive numbers adding, subtracting, multiplying, and dividing them.
Here are some examples :
-4+(-25)
-9-(-3)
4÷ - ( -8 )
(-15) (-7)

Answers

Answer:

Step-by-step explanation:

So negitive have the - besides it and + mean its negative .

Answer:

-29

-6

.5

105

Step-by-step explanation:

16 Apples cost $1.35 per kilogram
Work out the cost of 16 kilograms of apples​

Answers

I believe you just multiply 1.35 x 16.
Therefore your answer will be $21.60

What is the slope and rate of change brainliest 40 points

Answers

Answer:

slope: 3 for N and 1/2 for O

Step-by-step explanation:

Answer:

N. -3O. 2.5

Step-by-step explanation:

N

Use points (1, 5) and (2, 2)

m = (2 - 5)/(2 - 1) = -3

O

Use points (0, 10) and (2, 15)

m = (15 - 10)/2 = 5/2 = 2.5
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