Answer:
Can you show a picture? Or like tell us the options?
John invests $15,000 in a savings account that pays 2.5% simple interest. If John makes no
withdrawals or deposits into the account, how much will be in the account after 9 years?
Answer:
18,375
Step-by-step explanation:
3. P343. 13. A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who has changed jobs within the past years. (a) In the absence of preliminary data, how large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05? (b) In a sample of 100 workers, 20 of them had changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who have changed jobs within the past year. (c) Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within ±0.05.
Answer:
a) A sample of 385 must be taken.
b) The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).
c) A sample of 246 is needed.
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Absence of preliminary data:
This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05?
A sample of n must be taken.
n is found when [tex]M = 0.05[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96*0.5[/tex]
Dividing both sides by 0.05
[tex]\sqrt{n} = 1.96*10[/tex]
[tex](\sqrt{n})^2 = (19.6)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up,
A sample of 385 must be taken.
Question b:
In a sample of 100 workers, 20 of them had changed jobs within the past year.
This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.1216[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.2784[/tex]
The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).
Question c:
Same procedure as question a, just with [tex]\pi = 0.2[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.05}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.2*0.8}}{0.05})^2[/tex]
[tex]n = 245.8[/tex]
Rounding up
A sample of 246 is needed.
Find the measure of _PUQ.
49
52
369
U
41
43
53
499
Answer:
43 is the answer ok I hope you helped
Write and equation and solve it for the following:
Seven more that twice a number is 25. What is the number?
Answer: Equation: 2n+7=25 Number: n=9
Step-by-step explanation: Twice a number is 2 × n= 2n. 7 more is +7. Hence we get 2n+7=25. Subtract 7 from both sides then divide by 2 and we get 9!
Answer:
9
Step-by-step explanation:
Work backwards
25 - 7 = 18
18 ÷ 2 = 9
You can solve the problem normally to check.
9 × 2 = 18
18 + 7 = 25
That proves that the answer is right. Hope this helps you! Let me know how you did!
1 Which expression can be used to find the volume, in cubic centimeters, of the solid shown? Choose all that apply. 3 cm 4 cm 7 cm 5 cm 9 cm A (3 X 4 X 5) + (3 X 5 X 9) B (3 X 5 X 6) + (5 X 4 X 3) C (9 X 5 X 3) + (3 X 5 X 7) D (7 X 5 X 3) + (6 X 5 X 3) E (3 X4 X 7) + (6 X 5 X 4)
Answer:
I think its D
Step-by-step explanation:
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answer:
D
Step-by-step explanation:
They are trying to see how long it takes people to complete the writing portion of the test.
A rectangle has length 5.5 meters and width 7.5 meters. Select the area of the rectangle.
Answer:
41.25
Step-by-step explanation:
(1) area = 5.5 × 7.5
(2) area = 41.25
:)
Answer:More than nine-in-ten Hispanics identify with a specific religion. That, along with several other measures of belief and behavior, means that Hispanics as a group are highly religious. How does this affinity for spirituality vary among Latinos with different demographic characteristics or religious affiliations? And how precisely do the religious beliefs of Latinos set them apart from the rest of the population?
Step-by-step explanation:
If the rate of change of the graph of a linear equation is 4 and the y-intercept is (0, 8), what is the linear equation that represents the graph?
Answer:
y = 4x + 8
Step-by-step explanation:
The linear equation can be written in the form y = mx + b. "y" and "x" stay as they are. The "m" is the slope or rate of change. The b is the y-intercept.
Hope it helps!!!
(May I have brainliest if it's correct please?)
"An education researcher recorded the number of books students read over the last year and the number of vocabulary words that students defined correctly on a test of 100 vocabulary words. The resulting data were used to conduct a hypothesis test to investigate whether there is a positive linear relationship between the number of books read and the number of vocabulary words defined correctly. What are the correct hypotheses for the test?"
Answer:
B
Step-by-step explanation:
PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B
Answer:
because cfd eaquls a+b lllllllllll
Answer:
Step-by-step explanation:
IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.
On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .02 .31 .25 .19 .13 .10 1.00 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.) Mean Standard deviation (b) Describe the shape of this distribution. multiple choice Skewed to the right Skewed to the left Symmetric
Answer:
Mean = 2.40
Standard deviation = 1.356
Step-by-step explanation:
Given the data:
X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total
P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00
The mean [E(X)]
Σx*p(x)
(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4
The standard deviation :
Std(x) = sqrt[VAR(x)]
Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2
Var(X) = 7.6 - 5.76 = 1.84
Std(X) = sqrt(1.84) = 1.356 (3 decimal places)
Factor out the common terms: 24a + 12b - 40c
I'll give brainliest
Answer:
4(6a+3b-10c)
Step-by-step explanation:
Answer and Step-by-step explanation:
All of the terms have a common factor of 4.
4(6a + 3b - 10c)
#teamtrees #PAW (Plant And Water)
HELPPP PLSSS
ANSWER ALL PLS HELP AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answer:
1. 64
2. 36
3. 32
4. 20
5. 33
6. 30
Step-by-step explanation:
Sorry I can't see the symbols on questions 7-9
Using the following data, calculate the mean absolute deviation: 7 2 8 5 9 9 5 6 8 1 What is the mean absolute deviation for these data? (4 points)
Answer:
The mean absolute deviation is 2. Hope this helps
Step-by-step explanation:
7+2+8+9+9+5+6+8+1=5.5
7-5.5=1.5
5.5-2=3.5
8-5.5=2.5
9-5.5=3.5
9-5.5=3.5
5.5-5=0.5
6-5.5=1.5
8-5.5 2.5
5.5-1=4.5
1.5+3.5+2.5+3.5+3.5+0.5+1.5+2.5+4.5=2
Answer is 2.
I hope this can help!
Have a nice day :)
~Amy
A consumer group surveyed the prices for white cotton extra-long twin sheet sets in five different department stores and reported the average price as $16 with standard deviation $3.81. Assume that the population is normal and has a standard deviation equal to $3.81. 9. Provide a 95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets. z* is 1.96
Answer:
95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.
(12.6604 ,19.3396)
Step-by-step explanation:
Step(i):-
Given that mean of the sample = 16
Given that the standard deviation of the sample = 3.81
The standard deviation of the Population = 3.81
Level of significance = 0.05
Step(ii):-
95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.
[tex](x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )[/tex]
([tex](16 - 1.96 (\frac{3.81)}{\sqrt{5} } , 16 +1.96 (\frac{3.81)}{\sqrt{5} })[/tex]
( 16 - 3.3396 , 16 + 3.3396)
(12.6604 ,19.3396)
Final answer:-
95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.
(12.6604 ,19.3396)
The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each
A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4. What is the probability of spinning a 3?
Answer:
1/6 or 0.166666...
Step-by-step explanation:
1 out of 6, so 1/6
Factor by removing a common
1. 3a +9ab
Answer:
3a(1+3b)
Step-by-step explanation:
First step is to find the greatest common factor between these two terms, which is 3a. Next you'll need to divide the two terms by that factor, which would give you what would be in the parenthesis, placed the factor in front to signify the multiplication of those terms and voila, you got the fully factored form.
In triangle PQR, find the measure of angle P .
Answer:
P=0.94619355852°
Step-by-step explanation:
Use cos:
cosA=adjacent/hypotenuse
cosP=33.8/57.8
P=arccos(0.5847750865)
P=0.94619355852°
Answer:
54.1
Step-by-step explanation:
If you put the reverse cos sign and divide 33.8 by 57.6 you get 54.069…
that’s the answer. In the calculator it should look like this (check attached image)
Solve percent problems (if anyone has done this test can you please screen shot it or just type the answers) Thank you very much!
Question 5 of 10 How does a low credit score affect a person who applies for a loan? O A. It causes banks to charge the person higher interest rates on the loan. OB. It makes it easier for the person to get a loan with a poor debt-to- income ratio. O C. It allows banks to give the person a loan without checking his or her tax records. OD. It makes banks more likely to give the person a large, long-term loan. SUBMIT
It's def not c or d, I think it's a.
Which is the graph of x - y = 1?
y
y
5
5
4
4
3
3
3
2
2
2
1
1
4
3
1 2
5
5
4-3-2-1,
1 2 3 4 5 X
4
1 2 3
5-4-3-2-11
5-4-3-2-1
2
-2
2-
-3
3
4
4
5
5
ly
5
4
3
Answer:
the 3rd graph
Step-by-step explanation:
The graph which represents x-y = 1 is; The 3rd graph.
Graph of a straight lineFrom the task content, the given equation of the line is; x - y = 1.
By rearranging the equation to take the slope-intercept form;.
y = x - 1.Hence, slope of the graph is 1 and the y-intercept of the graph is -1.
On this note, only the 3rd graph satisfies the conditions above.
Read more on graph of a straight line;
https://brainly.com/question/14323743
help lol i can’t do math and everything is due at midnight
Which sign makes this number sentence true?
|-6| __ |6|
A. >
B. <
C. =
D.
Answer:
C. =
Step-by-step explanation:
whenever you have | | It will always be positive so -6 turns to 6 and that makes it equal.
Question 6 of 10 What is the slope of the line that contains the points (-2, 2) and (3, 4)? O A. 01N B. 5 C. 5 2 D. 2 SUBMIT
Answer:
I don't know what those answer choices are but the answer should be: [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
4-2 = 2
3 - (-2) = 5
Put the y values over the x
[tex]\frac{2}{5}[/tex]
What are the solutions of the quadratic equation 4x2 - 8x – 12 = 0?
Answer:
see bottom
Step-by-step explanation:
divide through by 4
x2 - 2x - 3 = 0
x2 - 3x + x - 3 = 0
(x2 - 3x) + (x - 3) = 0
x(x - 3) + 1(x - 3) = 0
(x + 1) (x - 3) = 0
x + 1 = 0 and x - 3 = 0
x = -1 and x = 3
-7x+4y=32
-5x-2y = -16
elimination method explain please
Answer:
(0,8)
Step-by-step explanation:
-7x+4y=32
-10x-4y=-32
-17x=0
x=0
-5×0-2y=-16
y=8
(0,8)
17.
Which pair of numbers is relatively prime? *
7 & 21
4 & 15
ОООО
6 & 9
9 & 27
Answer:
9 & 27
Step-by-step explanation:
since all prime numbers above 5 end in 1,3,7 and 9then to find a prime number between say 70 and 80 the only possibilities are 71,73,77,79
Answer:
9 & 27
Step-by-step explanation:
Plz mark as Brainliest...
A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?
Answer:
$6510
Step-by-step explanation:
First thing that should come to mind is: What is 7% of $7000?
Well, if you don't know how to find a percent of something, this is the formula you use:
7000 x 0.07 = 490.
In the first year, they will receive 490 out of the 7000 they've invested.
7000 - 490 = 6510.
Therefore, the account balance at the end of the first year will be 6510.
The account balance at the end of first year will be equal to $6510.
What do you mean by percentage ?
Percentage is the relative value indicating one hundredth part of any quantity.
It is given that a retiree invests $7000 in a savings plan which pays 7% per year. So , it meant that we need to calculate that what is the value 7% of $7000.
So , 7% of $7000 is :
= 7000 × [tex]\frac{7}{100}[/tex]
= $490
It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.
So , the account balance at the end of first year will be :
= 7000 - 490
= $6510
Therefore , the account balance at the end of first year will be equal to $6510.
Learn more about percentage here :
brainly.com/question/22091903
#SPJ2
5. A book of length 20 cm and breadth 5 cm is kept on a table, its area is
(a) 50 cm
(b) 100 cm
(c) 150 cm
(d) 200 cm