Answer:
a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.
b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.
c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.
Step-by-step explanation:
For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?
The foreclosure rate is 1.31% for the Washington, DC area, which means that [tex]p = 0.0131[/tex]
We wanto to find, with [tex]n = 100[/tex]:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675[/tex]
[tex]P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226[/tex]
0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.
b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?
Foreclosure rate of 0.87% for the nation, which means that [tex]p = 0.0087[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174[/tex]
[tex]P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837[/tex]
0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.
c. Comment on the above findings.
The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.
Eli buys milk and lemons at the store.
He pays a total of $50.59.
He pays a total of $6.35 for the milk.
He buys 7 bags of lemons that each cost the same amount.
How much does each bag of lemons cost?
Answer:
$6.32
Step-by-step explanation:
m + L = total $
6.35 + 7L = 50.59
7L = 44.24
L = 6.32
what is 28.3 percent of 100?
Answer:
28.3%
Convert fraction (ratio) 28.3 / 100 Answer: 28.3%
You had it all along. If it is out of 100 then it is the same score you have.
Answer:
seems like a F if ur talking about grade wise. if not then its 28.3%.
help!!!!! will give big brain
mr. walter is remodeling his house and wants to design a rectangular garden in the backyard. the width of the garden, W(A), in feet, is modeled by this equation, where A is the area of the garden, in square feet. (equation shown in image)
What is the rate of change of the garden’s width when the garden’s are changes from 289 square feet to 400 square feet?
Answer:
Step-by-step explanation:
It’s d sir
Answer:
correct option is D
Step-by-step explanation:
If ABCD is a parallelogram, m
A
B
(3x + 4)º
D
xº
C
Equation:
X=
(PLEASE HELP)
Answer:
x is 44 because
3x+4+x=180
4x=180-4
4x=176
x=44
The graph of a power function in the form y = abˣ is shown below. Which of the following must be true about the values of a and b
a < 0 and b is odd
a > 0 and b is odd
a < 0 and b is even
a > 0 and b is even
Answer:
sorry i dont know this answer
Bella invested $7,400 in an account paying an interest rate of 5 3/8 % compounded continuously. Lily invested $7,400 in an account paying an interest rate of 5 3/4% compounded quarterly. After 17 years, how much more money would Lily have in her account than Bella, to the nearest dollar?
Answer:
$1078
Step-by-step explanation:
What is the total cost of a video game that is $59.99 with a sales tax of 7%?
Answer:
Your total will be $64.19
Step-by-step explanation:
I know this because 7% is $4.20 and so if i add $59.99 to $4.40 i will get $64.19:)
Mr. Herron drives for .9 hours (54 minutes) to reach El Rancho every day for work. If his average speed was 25 miles/hour, how far does Mr. Herron live from El Rancho?
Angela plans to buy new flooring for her bedroom. Her bedroom floor is a rectangle that is 7.9 meters by 6.2 meters. a. How many square meters of floor space does her bedroom have? meters squared b. Suppose the flooring costs $5.90 per square meter. How much will the flooring cost? (use a dollar sign and NO SPACES)
part A is 48.98 meters squared. part B is $288.982.
Step-by-step explanation:
To find the area of the flooring you multiply 7.9 and 6.2 which gives you 48.98 meters squared. Then for part B you take your product from part A and multiply it by $5.90, giving you $288.982.
I hope this helps
a salt container has the shape of cylinder the radius of the container is 1.5 inches and the height is 6 inches what is the surface area of the container?
Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
6 m
(5 m
15 m
15 m
Answer:
195 m
Step-by-step explanation:
Both shapes follow the formula: A = bh
The Big Square:
15 x 15 = 225
The Small Square:
6 x 5 = 30
225 - 30 = 195
what would the answer to this be?
Answer:
B because for ASA to work the side has to be surrounded with the angles and <ACD = <CAB has to be true and for
SAS to work the angle has to be surrounded by sides so
AD = BC has to be true.
Hope this helped and brainliest please
Will give brainliest if you awnser all math questions
1. Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Which savings account is growing fastest?
They are growing at the same rate.
simple interest
compounded quarterly
2.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account A in 30 years.
$340
$350
$370
$400
3.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account B in 30 years.
$400
$410
$420
$450
4.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
What is the approximate difference between the two accounts in 20 years?
$100
$50
$25
$10
5.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Why is the amount much higher in the compounded interest account?
The account started with more money.
The account is in a better bank.
The interest rate is higher.
The account pays interest on both the principal and the interest accumulated.
Answer: Compounded quarterly, 350, 420, 25, the account pays interest on both the principal and the interest accumulated.
Step-by-step explanation:
Question 1: Compounded quarterly is growing fastest because it's broken down more than what simple interest does and therefore is faster instead.
Question 2: Account A in 30 years would be 350, I did this problem and eyeballed it. Trust me.
Question 3: Account B in 30 years would be 420.
Question 4: The approximate difference between the two accounts in 20 years would be 25.
Question 5: If the rate of interest is annual and the interest is compounded quarterly then the number of years is 4 times and the rate of annual interest is one-fourth. Therefore, the account pays interest on both the principal and the interest accumulated.
Hope this helps
The simple interest and compound interest are solved for both the curves
a) The compound interest is growing fastest
b) the amount in Account A in 30 years A = $ 350
c) The amount in Account B in 30 years is B = $ 420
d) The difference between the two accounts in 20 years = $ 25
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
a)
Let the 2 curves be represented as A and B
Now , the amount invested by A = $ 200
The rate of simple interest = 2.5 %
And , the amount invested by B = $ 200
The rate of compound interest = 2.5 %
So , we can say that since it is more thoroughly broken down than basic interest is, compounded quarterly growth is the quickest.
b)
The amount for A in 30 years is given in the graph
A = $ 350
c)
The amount for B in 30 years is given in the graph
B = $ 420
d)
The amount for A in 20 years is given in the graph = $ 300
The amount for B in 20 years is given in the graph = $ 325
The difference between the two accounts in 20 years = $ 325 - $ 300
The difference between the two accounts in 20 years = $ 25
Hence , the compound interest is solved
To learn more about compound interest click :
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BRAINLIEST! Please! Please! Please! I need help understanding how to figure it out!!!
Thanks
Given :
Volume of pyramid = 2,433,400 cubic meters
Height of pyramid = 138 meters
To find:
S = [tex]\sqrt{\frac{3v}{h} }[/tex]
Steps:
S = [tex]\sqrt{\frac{3v}{h} }[/tex]
S = [tex]\sqrt{\frac{3 * 2,433,400}{138} }[/tex]
S = [tex]\sqrt{\frac{2,433,400}{46} }[/tex] (dividing 138 by 3 gives 46)
S = [tex]\sqrt{\frac{1,216,700}{23} }[/tex] (dividing numerator and denominator by 2)
S = [tex]\sqrt{52900}[/tex]
S = 230 square meter
The equation is equal to 230 square meters
Happy to help :)
If you didn't understand any topic pls ask
Can I have help with this question?
Answer:
angle 1 will be 64° and angle 2 will be 116°
Brad has 24 strands of blue holiday lights and 32 strands of white holiday lights. He wants to make displays of lights for customer's yards. Each display must have the same number of strands in it. Without mixing colors, what is the greatest number of strands of lights that Brad can put in each display?
Answer:
He could make 8 strands of 3 blue strands and 4 white strands lights
2.
Suppose you are making a giant chocolate chip cookie for a raffle. You roll out
a square slab of cookie dough. Then you use a circular plate that touches the
edges of the square slab of cookie dough and cut the cookie out of the dough.
What is the area of the extra dough? Write your answer in factored form.
Please read "Step-by-step" if you're having trouble
Answer:
x²(1-[tex]\frac{1}{4}[/tex][tex]\pi[/tex])
Step-by-step explanation:
Each side of the cookie dough is x long, since there is no given number, the diameter of the plate is also x, its as long as the square is wide, making the radius 1/2x.
The area of the cookie dough is x², the area of the plate is 1/4[tex]\pi[/tex]x².
You have the equation x²- [tex]\frac{1}{4}[/tex][tex]\pi[/tex]x²the equation has a Greatest Common Factor of x² so your factored equation is x²(1-[tex]\frac{1}{4}[/tex][tex]\pi[/tex])
A. Write an inequality for which 3, -4, 0, and 2,300 are solutions B. How many total solutions are there to your equality?
Answer:
-4 ≤ x ≤ 2,300
If x is a real number, we have infinite solutions.
if x is an integer number, we have 2,305 solutions.
Step-by-step explanation:
We want to write an inequality such that the numbers:
3, -4, 0, and 2,300 are solutions.
If we order these numbers from smallest to largest, we get:
{-4, 0, 3, 2,300}
Then we can write an inequality like:
-4 ≤ x ≤ 2,300
You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.
Now, how many solutions does this inequality has?
if x is a real number, then we have infinite solutions.
if x is an integer, then the total number of solutions will be equal to:
number of negative solutions (4)
number of positive solutions (2,300)
the number zero (1)
Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.
Then the inequality solution will be -4 ≤ x ≤ 2,300. If x is a real number, we have infinite solutions. if x is an integer number, we have 2,305 solutions.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A. Write an inequality for which 3, -4, 0, and 2,300 are solutions that will be
If we order these numbers from smallest to largest, we get:
{-4, 0, 3, 2,300}
Then we can write an inequality like:
-4 ≤ x ≤ 2,300
You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.
B. The number of the solution to the inequality will be
We have limitless solutions if x is a real number.
If x is an integer, the set of possible solutions will be
The number of negative solutions (4)
The number of positive solutions (2,300)
The number zero (1)
Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.
More about the inequality link is given below.
https://brainly.com/question/19491153
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Lauren is going to invest $740 and leave it in an account for 9 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Lauren to end up with $920?
Answer:
2.4
Step-by-step explanation:
How do you solve this? Or what’s the answer?
Answer:
6.7
Step-by-step explanation:
Make a proportion (similar triangles):
(15) / (10+x) = 6/x
15x = 60 + 6x
9x = 60
x = 6.7
Espanos
Estimate a 10% tip on a bill of $132.17 by first rounding the bill amount to the nearest ten dollars.
Answer:
Tip= $13
Step-by-step explanation:
Giving the following information:
Tip rate= 10% = 0.1
Bill= $132.17
First, we need to round the bill by the nearest ten dollars. In this case, we round to the lower tenth:
Bill= 132.17 = 130
Now, we can determine the tip:
Tip= bill*tip rate
Tip= 130*0.1
Tip= $13
If 3/4 container of paint covers 3/5 of a wall, which statement is true? a.It takes 114 containers of paint to cover the entire wall because 34÷35=114. b.It takes 229 containers of paint to cover the entire wall because 34÷35=229. c.The entire container of paint covers 920 of the wall because 35÷34=920. d.The entire container of paint covers 23 of the wall because 35÷34=23.
Answer:
Step-by-step explanation:
i nedd the answers
cual es la antiderivada de f (x)=3x-4?
what is the slope of the line 8y = -16
Answer: y=-2
Step-by-step explanation:
8y=-16
divide by 8 on each side
y=-2
what fraction has the same value as 8/24
Answer:
8/24 = 1/3
Step-by-step explanation:
divide numerator and denominator by 8
help. plz. i really need it
1. A train at a carnival covers a distance of 4 miles in 20 minutes. How
far does the train travel in 80 minutes?
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
Answer:
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
Round to the nearest tenth
Answer:
Step-by-step explanation:
Pythagorean theorem: b² + 6² = 14²
b² = 14² - 36² = 160
b = 4√10
sin(A) = 6/14 = 3/7
∠A = arcsin(3/7) ≈ 25.4°
∠B ≈ 90° - 25.4° = 64.6°