Answer:
Divide by 2
Step-by-step explanation:
2x - 6 = 18
→ Copy out the first step
x - 3 = 9
→ Think what could have been done to get from the original to first step
Divide by 2
The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure during the one-year period ending in February 2008 (The Washington Post, June 19, 2008). Over the past year, the number of foreclosures per 10,000 homes is 131 for the Washington area, while it is 87 nationally. In other words, the foreclosure rate is 1.31% for the Washington, DC area and 0.87% for the nation. Assume that the foreclosure rates remain stable.
Required:
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?
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?
c. Comment on the above findings.
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.
Which is the graph of the inequality: y is less than (1/2x - 2)^3
Answer:
A
Step-by-step explanation:
Name a straight triangle.
Answer:
A triangle
Step-by-step explanation:
The angles of a triangles are straight
therefore the triangle is a straight triangular shape
an athlete eats 55g of protein per day while training. how much protein will she eat during 17 days or training?
Answer:
935 grams
Step-by-step explanation:
1 day = 55 grams
17 days = 55 x 17 = 935 grams
PLEASE HELP WILL MARK BRANIEST IF RIGHT
s
Meet - fgo-cpwg-cnq
1. Luz rode her bike in the park
for 45 minutes and rode in her
neighborhood for 25 minutes . Luz
stopped riding her bike at 4:40 P.M.
12
11
10
9
60
2
3
8
5
7
6
Answer:
A. 3:30 pm
Step-by-step explanation:
45 + 25 = 70 --> 1 hour 10 minutes
4:40 minus 1 hour 10 minutes --> 3:30
Help asap plsssssssss
edit question_ stats
someone help me with this question plzzz
Answer:
Step-by-step explanation:
As per Janayda,
From the figure attached,
In ΔTRQ,
m∠TRQ + m∠RQT + m∠QTR = 180°
25° + m∠RQT + 35° = 180°
m∠RQT = 180° - 60°
m∠RQT = 120°
Since, m∠RQT + m∠PQT = 180° [Linear pair of angles]
m∠PQT = 180° - m∠RQT
= 180° - 120°
= 60°
In right angled triangle TPQ,
m∠TPQ + m∠PQT + m∠PTQ = 180°
90° + 60° + m∠PTQ = 180°
m∠PTQ = 180° - 150°
= 30°
Similarly, other angles can also be evaluated from the given information.
In ΔQTP and ΔNTP,
TP ≅ TP [Reflexive property]
NP ≅ PQ [Given]
ΔQTP ≅ ΔNTP [By LL postulate for congruence]
Therefore, Janayda is correct.
While Sirr is incorrect.
Since, there is not the enough information to prove ΔRTQ and ΔMTN equal, Isabelle is incorrect.
Parallel and Perpendicular
Answer:
parallel is like a road and perpendicular is like an x where the lines cross eachother
Step-by-step explanation:
my knocwlegde lol sorry if wron but im pretty confident its right
Answer:
parallel of lines, planes, surfaces, or objects) side by side and having the same distance continuously between them.
perpendicular of an angle of 90° to a given line, plane, or surface.
I need help plsssss ASP
Answer:
(From up to down)
1st box: 18
2nd box: 5
3rd box: 2
Answer:
x y
9 18
5 10
1 2
Step-by-step explanation:
have a nice day!!
What is g(x)?
A. g(x) = -2
B. g(x) = -11
C. g(x) = -x
D. g(x) = -x
WILL MARK BRAINIEST!!
Step-by-step explanation:
g(x) = -X^2
which isn't an option.
A cell phone company is proposing to offer a discount to seniors if there was evidence that their average call length was less than the overall population mean of 9.2 minutes. If the phone calls are too long and the discount is provided, the company will lose money. A random sample of the length of calls for 100 randomly selected seniors was determined.
(a) State the null and alternative hypotheses. Write 's' as '<=', '' as '>=', and '#' as '<>'.
(b) In context, explain what the Type I error is.
(c) In context, explain what the Type II error is.
(d) Which is worse for the seniors, a Type I error or a Type II error? Why?
Step-by-step explanation:
1. Null hypothesis:
h0: μ ≥ 9.2
alternative hypothesis
h1: μ < 9.2
2. the type 1 error is an error that occurs when we reject a true null hypothesis. in this question, the type 1 error is commited if we reject the null hypothesis that the population mean is greater than or equal to 9.2, then we have committed this error.
3. the type ll error is an error that o a false occures wehn we do not reject a false null hypothesis. We commit the type ll error in this scenario by saying that the population mean is greater than or less than 9.2 when it is actually false.
4. The type ii eror is actually worse here. we accept a false H0 in the type ii error which says that the mean is greater than or equal to 9.2. This means that these seniors are not going to get discount because they only get discount when their mean calls is less than 9.2 minutes.
A map represents every 4 miles with 1 inch. If a school and a bank are actually 12 miles apart, how far apart are they on the map? A . 3 B. 4 C. 7. D . 8
Answer:
Step-by-step explanation:
12mi(1in/4mi)=3in
Answer:
A) 3
Step-by-step explanation:
4/1=12/x
4/1=4
4=12/x
x=12/4
x=3
In ordering a café latte, you have a choice of whole, skim or soy milk; small, medium or large; and either one or two shots of espresso. How many choices do you have in ordering one
drink?
Answer:
3 choices is the answer i think
There were 48 blue, 48 green, and 48 yellow crayons. Also there were 72 red crayons and 120 colored pictures. What is the largest number of identical sets can be made of these crayons and pictures?
Answer:
24
Step-by-step explanation:
For this problem, you need to find the greatest common factor because you need to divide all of the materials equally into identical sets.
If you factor out the numbers 48, 72, and 120, (same # of blue, green, and yellow crayons) you'll get the GCF of 24.
48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
72 - 1, 2, 3, 4, 18, 6, 8, 9, 12, 24, 36, 72
120 - 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The greatest common factor in all of these lists is 24.
Therefore, the largest number of identical sets is 24.
(2 blue crayons, 2 green crayons, 2 yellow crayons, 3 red crayons, 5 colored pictures)
Answer:
24
Step-by-step explanation:
if you don't know the answer to one of the problems you can just answer how every many you know and btw ill mark you!!
Answer:
#2 is correct.
#3 is correct, mammals are vertebrates, which means cows counts, also frogs, since they have to jump a lot, they have 10 vertebrae. Also, hawks, since they're vertebrates, and all vertebrates have backbones.
$4 is correct.
If you like my answer, please mark me brainliest.
The lengths of two sides of a triangle are 4
and 6. The third side cannot be
tec
a) 6
b) 4
c) 3
d) 2
3. ¿Cuál es el peso de un (dm) de agua?
I need help I will mark brainiest no spam or report
Answer:
C
Step-by-step explanation:
Hey There!
The range is subtracting the highest value from the lowest value
the highest in the set is .87 and the lowest is .05
so we subtract
.87-.05=.82 so the range is .82
can somebody help me
On Monday in Minneapolis,Minnesota it’s was 0°F outside. On Tuesday it’s was 15 degrees colder. What was the temperature and Tuesday?
Answer:
-15º F.
Step-by-step explanation:
Given that on Monday in Minneapolis, Minnesota it’s was 0 ° F outside, while on Tuesday it was 15 degrees colder, to determine what was the temperature on Tuesday the following calculation must be performed:
0 - 15 = X
-15 = X
Thus, the temperature on Thursday was -15º Fahrenheit, which is equal to -26.11º Celcius.
I have a few question:
Calculate the following (compound annually): $62,500 at 3.4% for 3 years, calculate the following (compounded annually): $5,000 at 1.5% for 4 years, Calculate the following using simple interest:$2,000 at 7.8% for 15 years, and lastly, Calculate the following at 1.8% for 8 years. (please show me how you did it step-by-step)
Step-by-step explanation:
simple interest
I=prt
I= 2000×(7.8/100)×15
I=2340
Which statement best describes the relationship between x and y in the graph?
y is two more than x.
y is one half of x.
y is two less than x.
y is twice x.
how do I answer this?
Determine the vertex of the function f(x)=2(x+1)(x+7). You must show all algebraic steps for full marks
Answer:
vertex (-4,-18)
Step-by-step explanation:
f(x)=2(x+1)(x+7)
f(x)=2(x^2+8x+7)
f(x)=2x^2+16x+14
f(x)=2(x^2+8x)+14
f(x)=2(x^2+8x+4^2-4^2)+14
f(x)=2(x^2+8x+4^2)+2(-4^2)+14
f(x)=2(x^2+8x+4^2)+2(-4^2)+14
f(x)=2(x^2+8x+4^2)-18
f(x)=2(x+4)^2-18
vertex form:
f(x)=a(x-h)^2+k
h=-4
k=-18
vertex (-4,-18)
What is the determinant of K=[6 8 0 3]
–18
–8
10
18
D) 18
Correct on Edge
A farmer plans to grow wheat and corn. Each acre of wheat requires 4 hours of labor and $20 of capital, and each acre of corn requires 16 hours of labor and $40 of capital. The farmer has at most 800 hours of labor and $2400 of capital available. If the profit from an acre of wheat is $80 and from an acre of corn is $100, how many acres of each crop should she plant to maximize her profit?
Answer:
To maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.
Step-by-step explanation:
Given that a farmer plans to grow wheat and corn, and each acre of wheat requires 4 hours of labor and $ 20 of capital, and each acre of corn requires 16 hours of labor and $ 40 of capital, and the farmer has at most 800 hours of labor and $ 2400 of capital available, if the profit from an acre of wheat is $ 80 and from an acre of corn is $ 100, to determine how many acres of each crop should she plant to maximize her profit the following calculation must be performed:
Knowing that each acre of wheat has a 50% lower capital cost, 75% lower hours and a 20% lower profit, in principle this would be the crop to be planted to obtain better yields.
2400/20 = 120
120 x 4 = 480
120 x 80 = 9,600
Thus, to maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.
can y’all help me please I will mark you brainlist
Answer:
C: 22
Step-by-step explanation:
So for this problem, I have a very simple method to solve it. Just count the squares. It's as easy as that. The number of full squares I counted were 18, and I saw a little bit here and there, so I rounded the extra pieces to 22.
fsfdaaffsfsad 598 × 4
Answer: 2,392
Step-by-step explanation:
Answer:
2392
Step-by-step explanation: