Answer:
95% of house sizes lie between 955.7 and 1454.1 square feet.
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
In the above question,
Mean (μ)= 1204.9 square feet
Standard deviation (σ) = 124.6 square feet.
We are to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet.
Step 1
We have to find the number of standard deviation from the mean
μ – xσ
1204.9 - 124.6x = 955.7
1204.9 - 955.7 = 124.6x
249.2 = 124.6x
x = 249.2/124.6
x = 2
μ + xσ
1204.9 + 124.6x = 1454.1
124.6x = 1454.1 - 1204.9
124.6x = 249.2
x = 249.2/124.6
x = 2
Therefore from the calculation above, it is 2 standard deviations from the mean, hence: from the empirical formula above,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ
A bank's loan officer rates applicants using their FICO credit score. The ratings are normally distributed with a mean of 711 and a standard deviation of 80. Find the credit score which separates the lower 80% from the top 20%. g
Answer:
The answer is "778"
Step-by-step explanation:
Given value:
[tex]\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84[/tex]
The formula for z-score:
[tex]\to x = z \times \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x= 778.2\\\\ \to x= 778[/tex]
PLEASE HELP WILL MARK BRAINLEIST
If the graph of the linear equation ax-8y=15 has an x-intercept at (3,0), then what is the value of a?
-Please help me
Michelle is planting flowers in her garden. She wants the ratio of daisies to carnations to be 3 to 2. Michelle wants to plant a total of 30 flowers. How many daisies should she plant?
Answer:
18 Daisies and 12 Carnations
Step-by-step explanation:
The total amount of flowers adds to be 30 therefore the amount of daises plus the amount of carnations should equal 30 (d+c=30). Then your ratio of daises to carnations is 3 to 2. Which means that you are going to have three daisies for every 2 carnations.
y = 6x + 11
2x - 3y = 7
Evaluate 12²- 4 (6) + 1/ 11²
Answer:
On a calculator you would get 120.008264463
other wise know as 120 1/121
Find mzC.
B
(2x – 12)
(9x – 26)
(4x + 43)
Answer:
m<C = 119°
Step-by-step explanation:
Create an equation to find the value of x.
(9x - 26)° = (2x - 12)° + (4x + 43)° (exterior angle theorem of a ∆)
Solve for x
9x - 26 = 2x - 12 + 4x + 43
Add like terms
9x - 26 = 6x + 31
9x - 6x = 26 + 31
3x = 57
Divide both sides by 3
x = 19
✔️m<C = 4x + 43
Plug in the value of x
m<C = 4(19) + 43
m<C = 76 + 43
m<C = 119°
HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10
Answer:
I suggest you use Socratic, it solves questions like this.
Step-by-step explanation:
Math please help 20 points plus brainly if you can answer each question.
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be?
Write your answer in the space below.
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be?
Write your answer in the space below.
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Write your answer in the space below.
Answer:
number 1 is D
number 2 is distribute 2 into x and 14(multiplying) getting 2x+28=40
then subtract 28 from each side 40-28=12 after just simply divide 2x by its self and into 12 getting 6
number 3 is 12
number 4 is subtract 2 from both side
number 5 is divide
number 6 is 6
I hope this helps have a great day!
Step-by-step explanation:
Consider the inequity
Answer:
What inequality??
Step-by-step explanation:
Answer:
where?
Step-by-step explanation:
Cindy bought 3 burgers and 2 soft drinks for $10.50. At the same restaurant, Sean bought 4 burgers and 3 soft drinks for 14.50. How much does 1 burger cost
Answer:
To much to count
Step-by-step explanation:
What is definition of and INDEPENDENT Vairable?
Answer:
a variable (often denoted by x) whose variation does not depend on that of another.
Step-by-step explanation:
Answer:
An independent variable is exactly what it sounds like. It is a variable that stands alone and isn't changed by the other variables you are trying to measure. For example, someone's age might be an independent variable.
There were 30 cars and 20 trucks in the parking garage. What is the ratio of cars to total vehicles?
A. 3 to 2
B. 7 to 2
C. 3 to 5
D. 2 to 3
find the slope please help me
Answer: slope: 3 or 3/1
Step-by-step explanation:
Answer:
slope is 3 I think, I just started learning about this stuff too
Step-by-step explanation:
We are performing a one-sample z-test about mean. The sample size is 64, the sample mean 56.7, the sample standard deviation is 30, and the testing mean is 60. What is the value of the test statistic?
Answer:
-0.880
Step-by-step explanation:
Mean X = 56.7
Sd = 30
N = sample size = 64
Null hypothesis:
H0:u = 60
Alternative hypothesis:
H1:u not equal to 60
This corresponds to a 2 tailed test. So we will have to use a z test with 1 mean, known population and standard deviation
Level of significance = 0.05
Z critical value = 1.96
The test statistic
Z = X - u/sd/√n
= 56.7 - 60/30√64
= -0.880
The test statistic is equal to -0.880
Solve the following system of equations.
2x +y = 3 = 3
2 = 2y - 1 - 1
Answer: or (1,1)
Step-by-step explanation:
You can apply the Method of substitution.
Knowing that (second equation), you can substitute it into the first equation and solve for the variable y:
Now you need to substitute into the second equation to calculate the value of the variable x. Then:
Then, the solution is:
or (1,1)
Choose all the expressions that are equal to 5/9 multiply 8
Answer:
4.44
Step-by-step explanation:
the real answer is 4.44444444444
Evaluate each arithmetic series described (find the sum).
15
(13 – 5n)
=
n=1
Helppppp
Answer:
120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
first figure out parenthesis
replace n for 1 then you get 13-5, and you get 8.
then you just have to multiply 15 x 8.
then you get 120
I don't know how to do this plz help
What is the value of the missing exponent in the equation 7.4 ÷ 10= 0.074?
the answer is 0.74 not 0.074
Step-by-step explanation:
7.4 ÷ 10 = 0.74Square root! Please explain!
Answer:
a number which produces a specified quantity when multiplied by itself.
Step-by-step explanation:
If you are buying at item at a store for a price of $66, and there is a 5.1% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
$69.37
Step-by-step explanation:
Before Tax Price: $66.00
Sale Tax: 5.10% or $3.37
After Tax Price: $69.37
What is the missing value for the probability distribution table ?
X 1 2 3 4 5
P(X) 0.05 0.35 0.15 0.2
Find the value of x
Please help
Answer:
x=67
Step-by-step explanation:
Two ways to solve it:
1st way: Just looking at it, x is definitely not 180° because it’s to big of an angle, it is definitely not 113° because it’s still to big of an angle, and it’s also not 90° because it doesn’t form a right angle. So it must be 67°.
2nd way: Since two angles in a straight line add up to 180°, you can subtract 113° from 180° to find what x is. You can tell that 180° - 113° is equal to 67°
So either way, the answer is: x=67
Hope this helped! :)
what is the slope of the line shown in graph
A. -2
B. -1
C. 1/-2
D. 1/2
Answer:
-1/2
Step-by-step explanation:
using rise over run its 1/-2 which is just -1/2
please help me
a piece of wire is 28cm in length is cut into two parts, each part bend to make a square. given that area of square is 416m^2. find the perimeter of each square.
Answer:
25.488 cm and 2.512 cmStep-by-step explanation:
Note: the area of squares is 41 cm² but not 416 m², typo
Let the sides of squares be x and y
Based on given we have equations:
4x + 4y = 28x² + y² = 41Simplify the first equation
4x + 4y = 28x + y = 7x = 7 - ySubstitute x to solve for y:
(7 - y)² + y² = 4149 - 14y + y² + y² = 412y² - 14y + 49 - 41 = 02y² - 14y + 8 = 0y² -7y + 4 =0Solving we get:
y= 6.372 cm or y= 0.628cmThen
x = 0.628 cm or x = 6.372 cmPerimeter of each square is:
4*6.372 = 25.488 cmand
4*0.628 = 2.512 cmA particle moves along a line so that its velocity at time t is
v(t) = t2 − t − 20
(measured in meters per second).
(a) Find the displacement of the particle during
3 ≤ t ≤ 10.
(b) Find the distance traveled during this time period.
Kiran says that a solution to the equation `x-7=3` must also be a solution to the equation `3x-21=9`.
Write a convincing explanation as to why this is true. Explain how these are equivalent equations.
Answer: This is true because everything in the first equation was multiplied equally to get to the second equation. Every part was multiplied by three. The first equation is x-7=3 and the second can be seen as 3(x-7=3). The three will not affect x seeing that the entire equation had the same thing done to it.
what is 20ft to 8yd in a fraction in simplest form
Answer:
5/6
Step-by-step explanation:
27 divided by (3/4) square
The answer is 48. Becuase you need to multipluy and also didived the numbers by the quatum number of X.