Answer:
H0: p1=p2 against the claim Ha: p1≠p2
Step-by-step explanation:
Here the proportion of the people going for medical checkup before the program is p1= 0.76
The proportion of the people going for medical checkup after the program is p2= 686/880=0.78
Our null and alternate hypothesis will be
H0: proportion of the people going for medical checkup before the program is equal to the proportion of the people going for medical checkup after the program
against the claim
Ha: proportion of the people going for medical checkup before the program is not equal to the proportion of the people going for medical checkup after the program
Mathematically this can be written as
H0: p1=p2 against the claim Ha: p1≠p2
. The admission fee for a basketball game is $5 for students and $7 for adults. At one of the girl’s home games, 150 people attended the game and $866 was collected. How many students and how many adults attended the game?
Answer:
Adults =58, Students=92
Step-by-step explanation:
Someone plsssssssssssssssssssssssssssssssssssssssssss help (Becca’s dog walking business started with 1 dog. She walks 2 additional dogs each month. How many dogs does she walk in the third month?)
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Answer:
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A company estimates that 0.1% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $350. If they offer a 2 year extended warranty for $28, what is the company's expected value of each warranty sold?
Answer:
The expected gain per warranty is $27.65, crazy stuff
Step-by-step explanation:
If the estimate is right, there is a 0.1% probability for each extended warranty that the company has to shell out $350 (we disregard the situation where the replacement fails too, because there is no info that lets us deal with that).
This brings us to cost for the company equal to 0.1%*$350 per warranty sold.
0.1%*$350 = 0.001*$350 = $0.35
And the company gets $28 for each warranty sold, hence they earn
$28 - $0.35 = $27.65
on average.
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
10x+2y=64
3x - 4y = -36
O A. (4, 12)
B. (2,10)
o
C. (-5,8)
O D. (-3, 11)
9514 1404 393
Answer:
A. (4, 12)
Step-by-step explanation:
Adding the second equation to twice the first will eliminate y.
2(10x +2y) +(3x -4y) = 2(64) +(-36)
23x = 92 . . . . . . . . simplify
x = 4 . . . . . . . . . divide by 23
This value matches choice A: (4, 12).
Please help on both questions. I would appreciate it.
Answer:
first one is 4.5 second one is 45
Step-by-step explanation:
11r + 7s written form plz i need help
Answer:
eleven r plus seven s
Step-by-step explanation:
thats the written form
Sabrina read a total of 185 pages in three days.
On the first day, she read 85 pages
· On the second and third days, she read the same
How many pages did she read on the third day?
Answer:
Sabrina read 50 pages on the third day.
Step-by-step explanation:
Since Sabrina read a total of 185 pages in three days, and on the first day, she read 85 pages, while on the second and third days, she read the same amount, to determine how many pages did she read on the third day the following calculation must be performed:
(185 - 85) / 2 = X
100/2 = X
50 = X
Therefore, Sabrina read 50 pages on the third day.
Please solve for all three parts of the question.
Answer:
f(-5) = 25
f(0) = -2
f(5) = 16
Step-by-step explanation:
Given the functions;
To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero
at where x < 0, f(x) = x^2
f(-5) = (-5)^2
f(-5) = 25
b) For f(0), where the point where x = 0, f(x)= -2
Hence the value of f(o) = -2
c) For f(5), the function where x > 5 is f(x) = 2x+6
f(x) = 2x+6
f(5) = 2(5)+6
f(5) = 16
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
7.51 cm2
8.6251 cm2
o
10.5 cm
19.551 cm2
Answer: SA≈27.1.
The formula is SA=2πrh+2πr2.
The radius is 0.75 since 1.5 divided by 2=0.75.
Plug it in.
PLEASE HELP 9) (6 pts.) The perimeter of a rectangle is 100 feet. The length is 10 more than 3 times the width. Define variables and write a system of equations that could be used to find the length and width of the rectangle. For this problem you are NOT being asked to solve the system, just to set it up.
Step-by-step explanation:
sorry i am unable to understand what it is asking but if you inform me more i would love to help
You want to be able to withdraw $25,000 each year for 20 years. Your account earns 5% interest.
a. How much do you need in your account at the beginning? Do not include units!
b. How much total money will you pull out of the account? Do not include units!
C. How much of that money is interest? Do not include units!
Answer:
a. $311,555.26
b. $500,000
c. $188,444.74
Step-by-step explanation:
The computation is shown below:
a. Here we have to determine the present value
Given that
PMT = $25,000
NPER = 20
RATE = 5%
FV = $0
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
after applying the above formula, the amount that need in the beginning is $311,555.26
b. The total money should be
= $25,000 × 20 years
= $500,000
c. The amount of interest is
= $500,000 - $311,555.26
= $188,444.74
If the surface area of a cube is 150 cm2, what is the volume of the cube
Answer:
V = 125 in^3
Step-by-step explanation:
A cube has 6 sides, and the area of each is equal to the side length squared:
A = 6x^2
A is given as 150 cm^2, and so is equal to 6x^2. Thus, x = the side length = 5 cm.
The volume of the same cube is given by V = x^3, which here is 5^3 in^3, or V = 125 in^3
Solve for x: 3-a/x-a=1/a
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answer:
x= -a2(the 2 means squared)/1-3a+a2
Step-by-step explanation:
I rll hope this helps
Answer:
x= a^2
----------------
1 - 3a + a^2
Step-by-step explanation:
Please Help!!
No links or I’ll report you!
A. 11
B. 13
C. 8
D. 7
Answer:
The answer is 13.
Step-by-step explanation:
Angle ABC and PQR are equivalent, although angle PQR is just scaled down by a factor of 9. Line CA is 54, line PR is 6, 54/6=9. So, line PQ has to be equal to 9 because 81/9=9. So you input all values into the expression until you get the product of 9.
Work: 2(13)-17=9, so 13 is your answer.
- Yesterday Billy earned $30 trimming
hedges for Mrs. Gant. Today he will earn
$10 an hour for weeding her garden. If
he weeds her garden for 8 hours, how
much in all will he earn working for
Mrs. Gant?
What is the first error Zoe made in her proof?
a. Zoe used an invalid reason to justify the congruence of a pair of sides or angles
b. Zoe only established some of the necessary conditions for a congruence criterion.
c. Zoe established all necessary conditions, but then used an inappropriate congruence criterion.
d. Zoe used a criterion that does not guarantee congruence
iui
Answer:
a
Step-by-step explanation:
To prove congruence
1 ∠ A ≅ ∠ C → given
2 ∠ DEA ≅ ∠ BEC → vertically opposite angles
3. AE ≅ EC → given
We then have 2 angles and the included side ( side between the 2 angles )
congruent in both triangles, thus Δ AED ≅ Δ CEB ( ASA postulate )
Zoes' error was in assuming ∠ DEA ≅ ∠ BEC was given
Zoe used an invalid reason to justify the congruence of a pair of sides or angles.
Option a is correct.
From given diagram it is observed that,
Line segment AD and CB are parallel and AC is transversal line. So that alternate angles A and C are equal.
[tex]\angle A=\angle C[/tex]
When two lines intersect at any point then vertically opposite angles are equal.
So that, [tex]\angle DEA=\angle BEC[/tex]
Given that , [tex]AE=EC[/tex]
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Hence, both triangles are congruent to each other.
Learn more:
https://brainly.com/question/25920974
This is a scale drawing of a field. The scale is 1 in.: 10 ft. What is the actual length of the
longer side of the field?
7 in.
5 in.
50 ft
10 ft
70 ft
Answer:7ft
Step-by-step explanation:
i got it right
Use technology or a z-score table to answer the question.
The weights of members of a baseball league are normally distributed with a mean of 176 pounds and a standard deviation of 11.4 pounds. Consider a league membership of 120 members.
How many of the members will weigh 165 pounds or more?
A.)67
B.)76
C.)80
D.)100
Answer:
D. 100
Step-by-step explanation:
1. Find the z-score: 165-176/11.4 = -1.2
2. Find the percentage of the z-score. Here it's 16.85%
3. Because we are searching for the amount of members that weigh MORE than 165 pounds and not LESS, we need to find the greater percentage by subtracting 16.85% from 100% which is 83.15%. This is the percentage of people that weigh more than 165 pounds.
4. Multiply the percentage by the number of members: 83.15%*120 = 99.78
5. Round it to a whole number because someone can't be 0.78 of a person. You get 100 members.
Also, I took the test :)
How much will you pay for an item that is $13.35 on sale for 30% off?
$4.005
$9.33
$9.35
$10.35
Answer:
$9.35
Step-by-step explanation:
Find the sale price by multiplying 13.35 by 0.7, since this will be 70% of the original price
13.35(0.7)
= 9.345
This rounds to approximately 9.35
So, you will pay $9.35
Answer:
9.35 would be the answer!
Step-by-step explanation:
i would really appreciate a brainliest if this helped! <3
special triangles 45-45-90
9514 1404 393
Answer:
x = y = (√10)/2
Step-by-step explanation:
In an isosceles right triangle, the side lengths are equal, and they are equal to (√2)/2 times the hypotenuse length.
x = y = (√5)(√2)/2
x = y = (√10)/2
Answer:
x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{\sqrt{5} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = [tex]\sqrt{10}[/tex] ( divide both sides by 2 )
x = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Since the base angles are 45° then the triangle is isosceles with both legs congruent , thus
x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
what is the answer
-3x+6(2x+4)=15
Answer:
x=-1
Step-by-step explanation:
use math a way
NEED HELP ASAP FREE BRAINLIST
Answer:
D). 10699
Step-by-step explanation:
D is right the math is hard to explain.
A population has standard deviation o=17.5.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1? Round the answer up to the nearest integer. (Round the critical value to no less than three decimal places.) A sample size of is needed to be drawn in order to obtain a 99.9% confidence interval with a margin of error equal to 4.1.
Part 2 of 2
(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller? (Choose one) V , because the confidence level is (Choose one) V .
Answer:
a) A sample of 198 must be drawn.
b) Smaller, because the confidence level is smaller.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.999}{2} = 0.0005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0005 = 0.9995[/tex], so Z = 3.291.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1?
This is n for which M = 4.1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4.1 = 3.291\frac{17.5}{\sqrt{n}}[/tex]
[tex]4.1\sqrt{n} = 3.291*17.5[/tex]
[tex]\sqrt{n} = \frac{3.291*17.5}{4.1}[/tex]
[tex](\sqrt{n})^2 = (\frac{3.291*17.5}{4.1})^2[/tex]
[tex]n = 197.3[/tex]
Rounding up:
A sample of 198 must be drawn.
(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller?
We have that:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Solving for n
[tex]\sqrt{n} = \frac{z\sigma}{M}[/tex]
That is, n and z are directly proportion, meaning that a higher value of z(higher confidence level) leads to a higher sample size needed.
95% < 99.9%, so a smaller confidence interval.
Smaller, because the confidence level is smaller.
A standard number cube, labeled numbers 1-6 on each side, is rolled three times. Mary says the chance of rolling a 2 all three times is 1/8. But John disagrees and says the probability for rolling a 2 all three times is 1/216. Who calculated the correct probability or rolling a 2 the three times the n number cube is rolled? Show work to justify your reasoning.
Answer: john answer it correctly
Step-by-step explanation:
6.6.6_=216
5/16 divided by 3 1/5
Answer:
25/256
Step-by-step explanation:
(5/16) / (3 1/5)
(5/16) / (16/5)
(5/16) * (5/16)
5*5 / 16*16
25/256
In the data set below, what are the lower quartile, the median, and the upper quartile. 13, 16, 16, 17, 51, 57, 62, 72, 92, 97
Answer:
I'm rusty on this but I believe:
the median is 54
the lower quartile = 16
the upper quartile is 72
in triangle ABC, AC=12 in., BC= 1.5in., and m
Answer:
13.5
Step-by-step explanation:
I am not 100% sure but I really hope this helps you.
The radius of a. circular garden is 15 feet. About how much fencing will be needed to enclose the garden?
Answer:
94.2 ft of fencing
Step-by-step explanation:
To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.
Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.
1 hundredth+3 tenths equal what
.Answer:
The answer is .31
Step-by-step explanation:
When there is a “th” at the end of the number it signals that the number is to the right of the decimal.
Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.