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
use the graph f(x)=-x²+8x+20 to determine the values of: p for which -x²+8x+p=0 will have equal roots
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
percent error between 20 and 16
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
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?
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
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.
Answer:
I was wondering the same thing! like what was Johnny using that much soap for....? btw I loI that video
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!!!!!!
Answer:
I think it might be 301.59,im not completely sure tho
use mathematical induction to prove the statement is true for all positive integers n. 6 + 12 + 18 + ... + 6n = 3n(n + 1)
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
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?
Answer:
i thin C could be wrong
Step-by-step explanation:
Answer:
It’s a
Step-by-step explanation:
please please please helpppp
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
Select the correct answer.
What is the inverse of function f?
what operation do you use to find the power of bases
please answer quick
0.6x = 31.2 ( it's multiplication)
Find the missing angles in the diagram below (pls help no links)
Step-by-step explanation:
here you have the answers
What is the measure of the missing angle?
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
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
if your car can travel 10km on every litre of petrol.how much petrol you will need to drive 1000 km??
Alina drew a model of a square pyramid. The dimensions of the model are
shown in the diagram.
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
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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.
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
16 Apples cost $1.35 per kilogram
Work out the cost of 16 kilograms of apples
help PLZZZZZZZZ NUMBER 4
Answer:
I cannot see number 4Step-by-step explanation:
r
0.23 is a whole number?
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:
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
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
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Which one is the even number:
116,318,162,230,180,155
Answer:
they are all even numbers except for 155
Step-by-step explanation:
What is the slope and rate of change brainliest 40 points
Answer:
slope: 3 for N and 1/2 for O
Step-by-step explanation:
Answer:
N. -3O. 2.5Step-by-step explanation:
N
Use points (1, 5) and (2, 2)
m = (2 - 5)/(2 - 1) = -3O
Use points (0, 10) and (2, 15)
m = (15 - 10)/2 = 5/2 = 2.53x2 = 30 a) + 10 b) + V10 c) + 15 d) 30.
Answer:
x = √10
Step-by-step explanation:
3x² = 30
Divide both sides by 3.
x² = 10
x = √10
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
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.
Determine which measure of center best represents the data?
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.
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)
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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wasd is the moving mechanics in minecraft
Simplify each expression.
a.
9x + 6 - 4x - 2x + 1 - 15
b.
(6x2 – 2x + 5) + (2x2 – 7x – 11)
С
7x2-5 - 2x - 3+ 5
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