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

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

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

what operation do you use to find the power of bases



please answer quick

Answers

i believe its exponent

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

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:

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

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

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

please please please helpppp

Answers

840 in 2 hours is the answer

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

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

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

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

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

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

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

Answers

Step-by-step explanation:

here you have the answers

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

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

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

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

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

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:

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Answers

Answer:

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wasd is the moving mechanics in minecraft

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

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.

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

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

Answers

the correct answer is b and a

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:

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

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:

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