Answer:
Tortured and kidnapped white colonists, and some started wars.
A 95% confidence interval of 17.6 months to 49.2 months has been found for the mean duration of imprisonment, mu, of political prisoners of a certain country with chronic PTSD. a. Determine the margin of error, E. b. Explain the meaning of E in this context in terms of the accuracy of the estimate. c. Find the sample size required to have a margin of error of 11 months and a 99% confidence level. (Use sigmaequals45 months.) d. Find a 99% confidence interval for the mean duration of imprisonment, mu, if a sample of the size determined in part (c) has a mean of 36.5 months.
Answer:
a) [tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]
b) For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.
c) [tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]
So the answer for this case would be n=112
d) [tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]
[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]
Step-by-step explanation:
Part a
For this case we know that the cinfidence interval for the true mean is given by:
[tex] \bar X \pm E[/tex]
Where E represent the margin of error. For this case we have the confidence interval at 95% of confidence and we can estimate the margin of error like this:
[tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]
Part b
For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.
Part c
The margin of error is given by this formula:
[tex] ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (a)
And on this case we have that ME =11 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex] (b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The critical value would be [tex]z_{\alpha/2}=2.58[/tex], replacing into formula (b) we got:
[tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]
So the answer for this case would be n=112
Part d
The confidence interval for the mean is given by the following formula:
[tex]\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (1)
Replcaing the info given we got:
[tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]
[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]
Which statement describes a cause of screwed data
a sample that excludes subjects that are not part of the population being measured.
اذا كانت س زاويه حاده و كان جاس= ٣/٥ فان ظا س=؟؟
what is the area of the figure below
Answer:
58
Step-by-step explanation:
Answer: 58 in.^2
Step-by-step explanation:
U
14 poi
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team? *
Answer:
36960 people
Step-by-step explanation:
Answer:
36,960 people
Step-by-step explanation:
[tex]\frac{is}{of}=\frac{percent}{100}[/tex] is the formula to solve for this equation, here plugging in all our numbers gives us [tex]\frac{x}{480,000} = \frac{77}{100}[/tex].
We do not know our "is" so we replace it for x and solve → [tex]x=(480,000)(\frac{77}{100} )[/tex] = 36,960 people
A 25 lb. bag Balkfoods Small Red Beans cost $52.92. What is the unit price
per Ib?
Answer:
$2.1 per pound
Step-by-step explanation:
price/pounds
52.92 / 25 = 2.1
The Cortes’ have a monthly combined take-home pay of $3,750. The Cortes’ recorded the following housing expenses for the month of August: $878.65 for mortgage payment; $52.50 for insurance premium; $266.67 for real estate taxes; $94.52 for electricity; $45.03 for telephone service; and $42.65 for water. How much are their housing costs over or under the FHA guidelines?
1 point
$67.52 under
$67.52 over
$2,369.98 under
$2,369.98 over
Answer:
I can't say over or under because I don't know the FHA guidelines but they had $2369.98 left over after the housing costs ($1380.02)
Step-by-step explanation:
Expenses for August= 878.65 + 52.50 + 266.67 + 94.52 + 45.03 + 42.65
= $1380.02
Income-Expenses= 3750-1380.02= 2369.98
:
What is 475.189 rounded to the nearest hundredth?
Answer:
It is:475.19.
HOPE THIS HELPED
Answer:
475.19.
Step-by-step explanation:
The hundredths place is two places to the right of the decimal, or (0.01).
In the number given, the number to the right of the hundredths place is larger than 5, meaning we will round up giving us:
475.189 --> 475.19.
Mark wants a new car that costs $30000. He only has $500 in his savings account and $300 in his checking account. Which financing option should he chose
Answer: He should choose the savings account because he can earn more interest and the money in his savings account is more than the money in his checking account.
Step-by-step explanation:
Can someone help me with this
Answer:
(y-b) /x = m
Step-by-step explanation:
y = mx+b
Subtract b from each side
y -b = mx+b-b
y-b = mx
Divide each side by x
(y-b) /x = mx/x
(y-b) /x = m
It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. It can be described with the equation -4h=-14. What value of h makes the equation true?
The equation is -4h = -14
To find h, divide both sides of the equation by -4:
H = -14 / -4
H = 3.5 hours.
She used 25 equally sized stones to make a path that is 12 feet long. How long is each stone
Answer:
The length of each stone is
L = 12/25 = 0.48 ft
Hope this helps!
:)
Each stone measures 0.48 feet.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here, the number of stones is 25 and it is used to construct 12 feet long then measure of each stone =12/25
=0.48 feet
Hence, Each stone measures 0.48 feet.
Learn more about the unitary method here:
https://brainly.com/question/22056199
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Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 10 in. The soup can has a diameter of 4 in. and a height of 5 in. How many cans of soup will it take to fill up the pot?
Answer:
28.125 cans
Step-by-step explanation:
Step 1: Determine the Volume of the Pot
Diameter= 15 inches, therefore Radius=15/2=7.5 Inches
Height =10 Inch
Volume of a cylinder =[tex]\pi r^2h[/tex]
Volume of the Pot [tex]=\pi*7.5^2*10=562.5\pi[/tex] cubic inches.
Step 2: Determine the Volume of each can
Diameter= 4 inch, therefore Radius=4/2=2 Inches
Height =5 In.
Volume of a cylinder =[tex]\pi r^2h[/tex]
Volume of one can [tex]=\pi*2^2*5=20\pi[/tex] cubic inches.
Step 3: Divide the Volume of the Pot by the Volume of the can
To obtain the number of cans that will fill the pot, we divide the Volume of the Pot by the Volume of the can.
Volume of the Pot÷Volume of one can
[tex]=562.5\pi \div 20\pi\\=28.125 \:cans[/tex]
Therefore, we conclude that it takes 28.125 cans to fill up the cylindrical pot of soup.
Audrey collected 4⁄5 pint of blueberries. Addison collected 12 times as many pints of blueberries as Audrey. How many pints of blueberries did Addison collect?
Answer:
48/5≈ 9 3/5
Step-by-step explanation:
12 is the same thing as 12/1
so your multiply fractions
4/5 times 12/1
numerator=top
denominator=bottom
so to multiply a fraction you multiply the numerator times the numerator
so in that case your multiplying 4 times 12
=48
to find the bottom half you multiply the denominator times the denominator
in that case is 5 times 1
=5
numerator/denominator
48/5
if you want to simplify it further simply divide 48/5
5 goes into 48 about 9 times
and were left with 3/5
so 9 and 3/5
pls mark me brainliest
Tommy purchased a new vacuum for $1,150 at the Best Buy. He has a 15% coupon. How much will he save?
Answer:
$172.50
Step-by-step explanation:
1150 * 0.15 = 172.5
Answer:
the answer is 172.50
Step-by-step explanation:
So is the price for the the vacuum 1.150 and the coupon is 15% then u multiply them and get 172.50 which is your answer
Step-by-step explanation
1150 * 0.15 = 172.5
If it was helpful can u mark me brainliest pls!!!!!!!!!!!
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
f is the correct option pls mark me as the brainliset
Answer:
D, E, F
Step-by-step explanation:
because you need to do this when you are gathering resources
a man received a salary of 4920 in two years what is his monthly salary?
Answer:
$205 per month
Step-by-step explanation:
Answer:
$205
Step-by-step explanation:
there are 24 months in 2 years
4920/24= 205
the driveway in front of the brown house is 35 feet long and the driveway of the red house is 7 yards and 9 feet long. which house has a long driveway? by how much
Answer:
The brown house has the longer driveway
Step-by-step explanation:
So we would need to convert both of these units of measurements to feet in order to compare them.
There are 3 feet in 1 yardConverting yards to feet, wee need to multiply the number of yards by 3
7 yards = 21 feetSince the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet
Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.
The brown house has the longer driveway
Factor the expression. d2 + 12d+ 36
Answer:
the factored expression is
(d+6)(d+6) or (d+6)^2
Step-by-step explanation:
Not sure on how to do these questions
Answer:f(8)=g(8)
Step-by-step explanation:
So in these problems f(8) means that you look at the f(x) function (function 1) and plug in 8 for x. Then since it says g(8), you look at the g(x) function and substitute x for 8. If we do that, f(x)=2(8)-3 which is 13. g(x)=3/2x+1=13. The two of them are equal when x=8. So the answer is the third choice
Answer:
f(8)=g(8)
Step-by-step explanation:
Just put the values of given functions in the equation
A tire manufacturer has 1000 units of raw rubber to use in producing radial tires for passenger cars and tractor tires. Each radial tire requires 5 units of rubber; each tractor tire requires 20 units. Labor costs are $80 for a radial tire and $120 for a tractor tire. Suppose the manufacturer does not wish to pay more than $15,000 in labor costs and wishes to make a profit of $100 per radial tire and $250 per tractor tire. How many of each kind of tire should be made in order to maximize profit
Answer:
180 Passenger Car Tires and 5 Tractor Tires should be produced in order to maximize profit.
Step-by-step explanation:
Here, we can form two equations from the given situation.
First, we are given that the total raw tube units are 1000. And 5 units are required for passenger car tire, while 20 units are required for tractor tire. So, the equation becomes:
5 x + 20 y = 1000 -------- eqn (1)
where,
x = no. of passenger car tires produced
y = no. of tractor tires produced
Another condition is given that, maximum labor cost should be $ 15,000. Since, the labor cost is $80 for a passenger tire and $120 for a tractor tie. Thus, the equation becomes:
80 x + 120 y = 15000 -------- eqn (2)
Solving eqn (1) and eqn (2), simultaneously, we get:
x = 180
y = 5
Therefore,
No. of Passenger Car Tires Produced = x = 180
No. of Tractor Tires Produced = y = 5
Drag the item from the item bank to its corresponding match.
Match the prism or cylinder with its volume.
Answer:
i cant help you because i cant see the things on the picture if u get a better picture i can help
Step-by-step explanation:
The quarterback Tom Brady completes 60% of his passes. To simulate the outcome of a single pass we use the digits 0, 1, 2, 3, 4, and 5 to represent the outcome "the pass is completed" and the digits 6, 7, 8, and 9 to represent the outcome "the pass is not completed." To be confident that our simulation is accurate, one needs to :
A. Repeat the simulation several more times
B. Assign new digits to represent outcomes
C. Take the average of the results of Line 134 and Line 101
Answer:
A. Repeat the simulation several more times
Step-by-step explanation:
The purpose of the simulation model is to represent the effectivity of the passes.
The proportion of successful passes is 60%.
As we have 10 digits available, 6 (digits from 0 to 5) are used for the outcome "the pass is completed" and 4 (digits 6, 7, 8, and 9) to represent the outcome "the pass is not completed". This is correct, as it represents a probability of 60% of having a successful pass.
But to have a representative distribution of the possible and probable results, the simulation have to run enough times to have a stable distribution of the results.
given h(x)=-2x+5, find h(-6)
This question is easy! it's simply asking to plug in -6 instead of the variable x.
h(-6)=-2(-6)+5
=12+5
=17
17 is your final answer.
five more than the quotient of y and 2 is -3
Answer:
y/2 + 5 = -3
y/2 = -8
y = -16
Step-by-step explanation:
word problem of addition or subtraction
Answer:
subtraction
Step-by-step explanation:
In order to find out how many more flowers you need, you need to subtract both of the numbers to get the difference.
Answer:19
Step-by-step explanation:subtract 27 from 8.
a(b+c) =a.b+a.c, where a, b, and c are real numbers. Use the distributive property to simplify the expression 8(3+4)=24+ ?
Answer: 32
Step-by-step explanation:
All you have to do is is multiply 8 by the numbers in the parentheses. So you multiply 8 by 3, which equals 24. Then multiply 8 by 4, which is 32. Hope this helps! :)
Answer:
The answer is 32 and the next one is C, 24x+32.
Step-by-step explanation:
. The pet store salesman told Evan to feed his dog 8 ounces of food per day. The food is sold in pounds. How many pounds does Evan need to buy for 2 weeks of feeding his dog? (16 ounces = 1 pound)?
Help !!! I got -15 & it’s wrong !
Answer:
-11
Step-by-step explanation:
I substitute x in ( put parenthesis around x so it makes it clear)
-9-6-18+9+4+9
simplify
-33+22
-11
Answer: -11
Step-by-step explanation:
That polynomial simplifies to -2x^2-x+4
If we plug in -3 for x, we get -2(-3)^2-(-3)+4 and thats -11
Which description matches finding the volume of the solid ?
Square prism + Triangular prism. Hope it helps.