x = 5, AB = 14, BC = 8
=====================================================
Explanation:
The triangles are similar, which can be proven through the angle angle theorem.
The similar triangles allow us to form the proportion below.
EB/DB = AB/BC
7/4 = (2x+4)/(x+3)
7(x+3) = 4(2x+4)
7x+21 = 8x+16
21-16 = 8x-7x
5 = x
x = 5 is part of the answer
Then we can use that x value to find the following
AB = 2x+4 = 2*5+4 = 14 is the length of AB
BC = x+3 = 5+3 = 8 is the length of BC
A cylinder has a radius of 14 yards. Its volume is 9847. 04 cubic yards. What is the height of the cylinder
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=9847.04\\ r=14 \end{cases}\implies \begin{array}{llll} 9847.04=\pi (14)^2 h\implies \cfrac{9847.04}{\pi (14)^2}=h \\\\\\ 15.99\approx h \end{array}[/tex]
What is the probability that client H, the 80-year old you’re considering for a 10-year policy, lives to be 90 years old? Client H is a non-Hispanic white female, so look at the data in table 15.
Using it's concept, it is found that the probability is found looking at the table, considering that:
The number of desired outcomes is the number of non-Hispanic white females who lived to be 90 years old.The number of total outcomes is the number of non-Hispanic white females who are 80 years old.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, these numbers of outcomes are taken from the data in the table, and the formula is applied.
More can be learned about probabilities at https://brainly.com/question/14398287
Answer:
Client H will have a 30.596 percent chance of living to 90 years old.
Step-by-step explanation:
[tex]\frac{30596}{100000} =0.30596\\\\\\0.30596= 30.596[/tex]
A popular video game claims that the average time needed to reach level 10 paladin is 3 hours with a standard deviation of 0.4 hours. james thinks that he and his four friends are more skilled than the average gamer because it took them an average of only 2.5 hours. which of the following is the most restrictive level that would validate his claim? upper-tail values a 5% 2.5% 1% critical z-values 1.65 1.96 2.58 1% 2.5% 5% 10%
The probability that the claim of James is correct is 1%.
What is a standard error?The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is its standard error. The standard error of the mean is the term used when the statistic is the sample mean.
In order to know if the claim of James is correct or not, firstly we need to determine the standard error. The standard error is the ratio of the standard deviation and the square root of the sample. Therefore, the standard error can be written as,
[tex]\rm Standard\ Error, SE =\dfrac{\sigma}{\sqrt n} = \dfrac{0.4}{\sqrt5} =0.178[/tex]
Thus, the standard error is 0.178.
Further, The z-score is defined as the distance from the sample to the population mean in units of standard error. Therefore, the z-score can be written as,
[tex]z = \dfrac{X-\mu}{SE}=\dfrac{(3- 2.5)}{0.178} = 2.81[/tex]
Using the Z-table in order to know the probability of the claim of James is correct or not, therefore, at this z-score, the probability is 0.9974≈1.00%.
Hence, the probability that the claim of James is correct is 1%.
Learn more about Standard Error:
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A Machine produces 374 bolts and 33 minutes at the same rate how many minutes will it take to produce 272 bolts
Answer:
it would take the machine 24 minutes to produce 272 bolts.
express 0 in the form of x+iy..
Let's do
[tex]\\ \rm\Rrightarrow x+iy[/tex]
Put 0[tex]\\ \rm\Rrightarrow 0+0i[/tex]
Anything multiplied by 0 is 0Use the distributive property to write an expression that is equivalent to the expression below. 8(-x-1/2)
Answer:
I think is -8x-4 let me know if im right
Step-by-step explanation:
The diagram shows rectangles 1, 2, 3, and 4. WHICH ARE SIMILAR
The given rectangles 2 and 3 are similar.
What are similar figures?Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.
From the rectangle 2 and 3,
18/40 = 36/80
9/20 = 9/20
So, figure 2 and 3 are similar
Learn more about the similar figure here:
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janet works at a computer supply store and earns 4.5% commission on her total sales.last week she earned $130.50 in commission.caculate her total sales for last week.
Divide the amount of commission by the percent:
130.50 / 4.5%
130.50 / 0.045 = $2,900
Answer: $2,900
2 1/3 - 1 1/2
Answer this for 15 points
Answer:
5/6
Step-by-step explanation:
2 1/3=2 2/6
1 1/2= 1 3/6
2 2/6- 1 3/6=5/6
Answer:
The answer is -19/6
Step-by-step explanation:
Hope that helps!
40 Points! Brainliest for correct answer! A student in a local high school prepared a survey question asking each student what his or her favorite male and female actors are. Which of the following methods will provide a sample that will represent the population of students as a whole?
A. Posting the question on the Internet.
B. Instant messaging every 9th person on the phonebook
C. Mailing a questionnaire to every student’s home.
D. Drawing 50 names from a hat containing the names of every student in the school.
Answer:
D. Drawing 50 names from a hat containing the names of every student in the school.
Sample which represents the population of students as a whole is given by drawing 50 names from a hat containing the names of every student in the school.
What is sample?" Sample is the method of representing a small set of data to give overall picture of whole data. It is used in research."
According to the question,
Survey was conducted on students to know their favorite male and female actors.
As per the options given,
A. Posting the question on the internet does not give any sample. Here no number of students is mentioned. No sample is collected.
Option(A) is not the correct answer.
B. Instant messaging every 9th person on the phonebook also not provide any small set of group. No conclusion can be taken out from this information. It does not represent a sample.
Option(B) is not the correct answer.
C. Mailing a questionnaire to every student's home does not provide any number of students for sampling.
Option(C) is not the correct answer.
D. Drawing 50 names from a hat containing the names of every student in the school. Here 50 samples of students are taken to represents a population of students as a whole.
Hence, Option(D) is the correct answer.
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PLEASE HELP WILL GIVE BRIANLIEST!!!
Point A is an outlier because if we were to put the best fit line along with the points according to the most amount of points, point A is the farthest away from the line and thus is the outlier.
Hope that helps!
Which values are solutions to 90 < –30p + 15? Check all that apply.
p = –10
p = 0
p = –2.5
p = 3
p = –5
p = 7.6
Answer:
p = -10 and p = -5
Step-by-step explanation:
p must be less than -2.5So, the possible value of p from the given options are,p = -10 and p = -5.
I have a headache. I need help ASAP- PLEASE!!!!!!
The diagram shows a pair of parallel lines crossed by two 
intersecting transversals.
a Work out the size of angle a. Give a reason for your answer.
b Work out the size of angle b. Give a reason for your answer.
c Work out the size of angle c. Give a reason for your answer.
d Work out the size of angle d. Give a reason for your answer.
e Work out the size of angle e. Give a reason for your answer
Which of the following z-values, standard deviations, and sample sizes produce a margin of error of 0.95? m e = startfraction z times s over startroot n endroot endfraction z = 2.14; s = 4; n = 9 z = 2.14; s = 4; n = 81 z = 2.14; s = 16; n = 9 z = 2.14; s = 16; n = 81
The z-values, standard deviations, and sample sizes that produce a margin of error of 0.95 is z = 2.14; s = 4; n = 81.
What is the margin of error?The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
The formula of the margin of error is given by the formula,
[tex]MOE = Z_{\gamma}\times \dfrac{\sigma}{\sqrt{n}}[/tex]
A.) z = 2.14; s = 4; n = 9
The margin of error is,
[tex]MOE = Z_{\gamma}\times \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]MOE = 2.14\times \dfrac{4}{\sqrt{9}}\\\\\\MOE =2.85[/tex]
B.) z = 2.14; s = 4; n = 81
The margin of error is,
[tex]MOE = Z_{\gamma}\times \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]MOE = 2.14\times \dfrac{4}{\sqrt{81}}\\\\\\MOE =0.9511[/tex]
C.) z = 2.14; s = 16; n = 9
The margin of error is,
[tex]MOE = Z_{\gamma}\times \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]MOE = 2.14\times \dfrac{16}{\sqrt{9}}\\\\\\MOE =11.413[/tex]
D.) z = 2.14; s = 16; n = 81
The margin of error is,
[tex]MOE = Z_{\gamma}\times \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]MOE = 2.14\times \dfrac{16}{\sqrt{81}}\\\\\\MOE =3.80[/tex]
hence, the z-values, standard deviations, and sample sizes that produce a margin of error of 0.95 is z = 2.14; s = 4; n = 81.
Learn more about Margin of Error:
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Answer:
B
Step-by-step explanation:
On edge
HELP ASAP ⚠️
ITS IXL
Answer:
4 I think
Step-by-step explanation:
If im thinking this out correctly you would divide 32 by the number of q which would be 32 divided by 8 which is 4.
I HOPE THIS HELPS!!
??????????? help please
need help this is due soon and thank you
Answer:
6.9
0.1
Steve, 0.3 metres
5% 1/5 0.5
If f(x) = 3(x+5) +-, what is f(a+2)?
xx, (a?
X
Given a defined function
f(x), we can evaluate the function at any constant by replacing every x
with that constant.So if f(x)=3x+5x, then f(a+2)=3(a+2)\+5a+2
Which function is shown on graph? (see image i posted)
Answer:
Hi, it would be A. f(x)=-1/2cos x
Step-by-step explanation:
Hope it helps!
Special right triangles please help!
Find the variable
Answer:
11. s = 14
12. k = 24
Step-by-step explanation:
There are two "special" right triangles that show up in trig and geometry problems.
The isosceles right triangle has angles of 45°-45°-90°, and side length ratios 1 : 1 : √2.
The half-equilateral triangle has angles of 30°-60°-90°, and side length ratios 1 : √3 : 2.
You will do yourself a favor if you remember and learn to recognize these triangles.
__
11.)The hypotenuse of the isosceles right triangle is 14√2. This tells you the basic ratio has been multiplied by 14. The side length is ...
s = 14
__
12.)The half-equilateral triangle has middle-length side 12√3. This means the basic ratio has been multiplied by 12. The triangle short side is 12, and the long side is twice that:
k = 24
I know I might be asking too much of math qns..
Question:
A party pack consists of x chocolate bars and x cans of drinks. Each chocolate bar costs $3 and each can of drink costs $1. The total cost for the chocolate bars and drinks in a party pack is more than $10. Find the minimum number of choclate bars in a party pack.
Btw, my teacher told me that the ans was 3. I'm kind of confused.
Answer:
3
Step-by-step explanation:
Your teacher is correct. The reason is because it is the total cost of both the chocolate and the can… if the choc is $3 and can is $1, you can have 3 chocolate bars because when you add the one can which is one dollar, it equals $10
3x3 = 9
9+1 = 10
Therefore 3 is the answer
The sides of a triangle are 20, 51, and 50. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse. The triangle is because the square of the largest side the sum of the squares of the other two sides.
Answer: Obtuse Triangle
Step-by-step explanation:
It is not right, because a^2 + b^2 doesn’t equal c^2. It is Actually obtuse because a^2 + b^2 is greater than c^2 because 20^2+50^2 =2900 which is greater than 2601 or 51^2.
Cuantos son 47 millones de pesos mexicanos a dolares?
Answer:
47,000,000 Mexican Peso equals 2,308,164.50 United States Dollar
Which of the following is a binomial with degree 2?
A)2x^3 + xy
B)2xy^2
C)3x + 3x^2
D)2 + 5x-3x^3
Answer:
the answer should be C. 3x + 3x^2
$15 Sale: 20% off What is the new cost of the shirt?
Answer:
$12
Step-by-step explanation:
20 percent of 15 is 3, so if there were to be 20 percent off, the answer would be 12.
Answer:
$12
Step-by-step explanation:
Given:
$15 sale
Sale: 20% off
New cost of the shirt
Solve:
$15 × 20% = 3 {Discount price/off}
$15 - 3 = $12 {New Cost of the shirt}
Hence, the new cost of the shirt is $12.
~Lenvy~
How do I evaluate |4/18| ?
Answer:
Step-by-step explanation:
Note*
To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. To evaluate, substitute 3 for x in the expression, and then simplify.
Math, Please Help 15 points
Step-by-step explanation:
(5x - 2y³)² = (5x - 2y³)(5x - 2y³) =
25x² - 10xy³ - 10xy³ + 4y⁶ = 25x² - 20xy³ + 4y⁶
so, the third answer option is correct.
A car rental costs $50 plus $0.17 per mile driven. Write an
expression that gives the total cost in dollars for driving m miles. Then
find the cost for driving 150 miles
The total cost for driving 150 miles would be $75.50.
A merchant bought a table for ₹8250 and spent ₹175 on its transportation. He
sold the table for ₹7500. Find its gain or loss?
Answer: Loss of 925
==============================================
Work Shown:
Total cost = 8250+175 = 8425
Total revenue = 7500
Profit = revenue - cost = 7500 - 8425 = -925
Profit = -925
The negative profit means the merchant lost money.
Answer: The merchant lost 575 dollars or whatever you call them.
Step-by-step explanation:
7500+175=7675
8250-7675= 575