Answer:
A. 2.53
Step-by-step explanation:
20.24/8
Russell is purchasing a $175,000 home with a 30-year mortgage. He will put
down $15,000 down payment. Use the table below to find his monthly PMI
payment
Base-To-Loan %
Fixed-Rate Loan
30 yrs. 15 yrs.
ARM 2% + 1 Year Cap
30 yrs.
15 yrs.
95.01% to 97%
0.90% 0.79%
n/a
n/a
90.01% to 95%
0.78% 0.26%
0.92%
0.81%
85.01% to 90%
0.52% 0.23%
0.65% 0.54%
85% and Under
0.32% 0.19%
0.37% 0.26%
O A. $97.50
B. $1170
O c. $1248
O D. $104.00
104.00
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he heights of adults in a certain town have a mean of 65.42 inches with a standard deviation of 2.32 inches. A random sample of 144 adults living in the center of the town was selected and their mean height was found to be 64.82 inches. Find the probability that a sample of this size would have a mean of 64.82 inches or less.
Answer:
0.001 = 0.1% probability that a sample of this size would have a mean of 64.82 inches or less.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The heights of adults in a certain town have a mean of 65.42 inches with a standard deviation of 2.32 inches.
This means that [tex]\mu = 65.42, \sigma = 2.32[/tex]
Sample of 144:
This means that [tex]n = 144, s = \frac{2.32}{\sqrt{144}} = 0.1933[/tex]
Find the probability that a sample of this size would have a mean of 64.82 inches or less.
This is the pvalue of Z when X = 64.82. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{64.82 - 65.42}{0.1933}[/tex]
[tex]Z = -3.1[/tex]
[tex]Z = -3.1[/tex] has a pvalue of 0.001
0.001 = 0.1% probability that a sample of this size would have a mean of 64.82 inches or less.
Question 15
An item that originally costs $80 is discounted by 10%. Choose all the expressions that can
be used to find the new discounted price. *
800.90)
800.10)
80 - 80(0.10)
80(1 -0.10)
80(1 + 0.10)
A research group is interested in gauging perceptions about health club memberships among health club members. Specifically, they wish to determine the percentage of monthly paying members in the United States that believe health club memberships are not too expensive. They listed the members of the health club located nearby in alphabetical order and took every tenth member until they succeeded in contacting 150 members. What kind of sampling method have they used? Choose the correct answer below.
A. Cluster sampling
B. Multistage sampling
C. Stratified random sampling
D. Systematic sampling
Answer:
D. Systematic sampling
Step-by-step explanation:
Systematic sampling is a type of probability sampling method in which sample members of a large population are selected according to a random starting position and a constant, periodic interval. This interval, called the sample interval, is calculated by dividing the population size by the desired sample size.so correct option is D. Systematic sampling .Given g(x)
=
3x + 6
2
and g(x) = 15, solve for x.
Answer:
=x?15
Step-by-step explanation:
Answer:
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Step-by-step explanation:
44 = t - 10; 52, 53, 54
Your bill at a restaurant was for $36. You want to leave a 15 % tip. What would the tip amount be?
$5.40
$6.20
$4.17
$2.40
Help please! Thank you!!
Answer:
alternate exterior angle is answer
Answer:
Angle 2 and angle 8 are alternative exterior angles
There are 99 males and 121 females participating in a marathon. What percent of the participants are female? Enter your answer in the box
Answer:
55.
Step-by-step explanation:
121 is what percent of 220? = 55.
If (X + A) is multiplied times (X + B), the final term of the resulting trinomial will be:
Answer:
AB
Step-by-step explanation:
Using FOIL (first outer inner last) u can determine that the final term will be produced by multiplying the last terms in each bracket. These are A and B, so the final term of the resulting trinomial is AB.
You can check this by fully expanding (x + A)(x + B):
[tex](x + A)(x + B)\\= x^{2} + Bx + Ax + AB[/tex]
the terms B and A are usually numbers, so Bx and Ax tend to get added together to form a middle term. hope this helps!
PLEASE HELP ME WITH BOTH QUESTIONS ASAP!!!!!!!!!
Answer:
I have #1, answer is 400
Step-by-step explanation:
80% of 500 is 400
Answer:
First one is 400
Step-by-step explanation:
2(10) + 2(x – 4) can someone help me with this problem
Answer:
2 x + 12
Step-by-step explanation:
Answer:
2x+12
Step-by-step explanation:
Multiply 2 by 10, and multiply 2 by x and -4 since x and -4 are in the parenthesis you just have to multiply them both by 2 separately.
2(10) + 2(x – 4)
20+2x-8
Subtract 20 by 8
2x+20-8
Finally, you have your answer!
2x+12
45 Tyrone is converting 50 to a percent. Which method should he use to find the percent? Divide the numerator and denominator of the fraction by 2. Subtract 40 from the numerator and denominator of the fraction. Multiply the numerator and the denominator of the fraction by 2. Add 50 to the numerator and denominator of the fraction.
Answer:
3. multiply the numerator and denominator of the fraction by 2
Step-by-step explanation:
Multiplying the numerator and denominator by 2 is like multiplying the fraction by 2/2. 2/2 is one so it doesn't change the value.
Answer:
❌Divide the numerator and denominator of the fraction by 2.
❌Subtract 40 from the numerator and denominator of the fraction.
✔️Multiply the numerator and the denominator of the fraction by 2.
❌Add 50 to the numerator and denominator of the fraction.
50 points! Please help fast I need this done ASAP!!! Only answer if you know it. Random answers will be reported!
Peter goes for a walk.
He walks 15 miles in 6 hours.
(a) Work out Peter’s average speed.
Give your answer in miles per hour.
Answer:
2.5 mph
Step-by-step explanation:
Peter walks 2.5 miles per hour
If he walks 15 miles in 6 hours then divide 15 by 6
15 divided by 6 is 2.5 so every hour peter walks 2.5 miles or 2 1/2
Find the percent of change. Round to the nearest whole percent & state whether the percent of change is an increase or a decrease.
If the regular price of a new bike is $115 and the sale price is $90, find the percent of decrease to the nearest whole percent.
Answer: 22% decrease
Step-by-step explanation:
Old price - sale price = 115 - 90 = 25
25/115 x 100 = 21.7% rounded to 22%
A ring-shaped region is shown below.
Its Inner radius is 11 cm, and its outer radius is 17 cm.
Find the area of the shaded region. Use 3.14 for pi. Do not round your answer.
Answer:
527.52 cm²
Step-by-step explanation:
Area of the shaded region = area of the outer circle - area of the inner circle
Area of circle is given as πr²
Radius of inner circle = 11 cm
Area of outer circle = 17 cm
π = 3.14
Thus:
Area of shaded region = 3.14*17² - 3.14*11²
= 907.46 - 379.94
= 527.52 cm²
The graph of r = -3 + 5cos theta is symmetric about the __________.
a.
y-axis only
c.
Origin only
b.
x-axis only
d.
No symmetry
The graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only
What is Symmetry?In mathematics, symmetry has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling.
Given that,
The graph of r = -3 + 5cosθ is symmetric about what?
When we plot the graph we can say that it is symmetric about x axis only.
Hence, the graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only
Learn more about Symmetry click;
brainly.com/question/16180199
#SPJ3
Billy can run 2100 meters in 15 minutes. At this rate, how many meters can he run in 120 minutes?
Group of answer choices
A)3333.33
B)55.56
C)140
D)730.77
E)92250.00
F)17.5
G)2005.00
H)16800
I)8400
Answer:
The answer is C)140
Which fraction is equivalent to (7-3)*3/10^4-10^2
A. 16/25
B. 1/25
C. 8/1125
D. 16/2475
Answer:
C.8/1125 is the answer......
If x = -3, find
pls answer
Answer:
x² - 1 = 8
Step-by-step explanation:
Given the following algebraic expression;
x² - 1
When x = -3
Substituting the value of x, we have;
x² - 1 = (-3)² - 1
x² - 1 = 9 - 1
x² - 1 = 8
Method II.
x² - 1 = (x - 1)(x + 1)
Substituting the value of x, we have;
x² - 1 = (-3 - 1)(-3+ 1)
x² - 1 = -4(-2)
x² - 1 = 8
Use substitution to determine whether the system below has no solution, infinitely many solutions or one solution.
15x + 5y = 20
y = 8 - 3x
Answer:
No solution
y= -3x +4
y= -3x +8
Verizon Wireless charges
$0.09 for every 5 text
messages sent. How much
is your bill if you send 75
texts?
Make this into a equation
Answer:
$1.35
Step-by-step explanation:
$0.09/5 = $0.018
75 x $0.018 = $1.35
can i be brainiest...
You and 3 friends go to a concert. In how many different ways can you sit in the assigned seats? 06 ways O 12 ways 024 ways O 10 ways
Answer:
12 ways
Step-by-step explanation:
In a study, Phoenix Marketing International identified Bridgeport, Connecticut; San Jose, California; Washington, DC; and Lexington Park, Maryland, as the four U.S. cities with the highest percentage of millionaires (Kiplinger website). Consider a sample of data that show the following number of millionaires for samples of individuals from each of the four cities. City Bridgeport,San Jose,Washington,Lexington Park, MillionaireCTCAD.C.MD Yes45333634 No455267364366 a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)
Answer:
The estimate of the percentage of millionaires in each of these cities:
Bridgeport San Jose Washington Lexington Park
CT CA D.C. MD
Percentage of
Millionaires 9% 12% 9% 8.3%
Step-by-step explanation:
Data and Calculations: City
Bridgeport, San Jose, Washington, Lexington Park,
Millionaire CT CA D.C. MD
Yes 45 36 36 33
No 455 264 364 367
Sample 500 300 400 400
Percentage of
Millionaires 45/500 36/300 36/400 33/400
= 0.09 0.12 0.09 0.0825
= 9% 12% 9% 8.3%
Using the percentage concept, it is found that the estimate of the percentage of millionaires in these cities is of 9.25%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
Researching the problem on the internet, it is found that:
A total of 45 + 34 + 37 + 32 + 455 + 266 + 363 + 368 = 1600 people were surveyed, hence b = 1600.Of those, 45 + 34 + 37 + 32 = 148 are millionaires, hence a = 148.Then:
[tex]P = \frac{148}{1600} \times 100\% = 9.25\%[/tex]
The estimate of the percentage of millionaires in these cities is of 9.25%.
More can be learned about the percentage concept at https://brainly.com/question/10491646
Kevin is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 15 feet and its width is 12 feet. Suppose each bag of fertilizer covers 20
square feet. How many bags will he need to cover the garden?
Answer:
9 bags.
Step-by-step explanation:
If you find the area of the garden ( 15 times 12) and divide the area by 20 (the size of one bag) you get 9 bags.
Answer:Kevin will need 9 bags
Step-by-step explanation:
15 x 12
=180
180 by 20
= 9
Plzzzzz helppppppppppppppp
Answer:
i just want my points.....
Step-by-step explanation:
equations similar to 4x + 12
Answer:
2(2x+6) is the same problem in a different format.
Step-by-step explanation:
Distribute the 2 to each place which gives you 4x+12
Answere : 4 times (x + 3)
Which equation is represented by the graph below?
Answer:
y = [tex]\frac{2}{3}x[/tex] + 6
Step-by-step explanation:
what is the length of the hypotenuse
Answer:
65 ft
Step-by-step explanation:
You can find the length of the hypotenuse using the formula a^2+b^2=c^2 where c is the hypotenuse and the other two sides are a and b.
16^2=256
63^2=3969
256+3969=4225
4225=c^2
Get c by itself by taking the square root of both sides.
This leaves you with c=65