Answer:
The margin of error is of [tex]2.262\frac{6}{\sqrt{10}} = 4.29[/tex]
Step-by-step explanation:
We have the standard deviation for the sample. So the T-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.262
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.262\frac{6}{\sqrt{10}} = 4.29[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]
The given parameters are:
Sample size = 10Mean = 38Standard deviation = 6Confidence Interval = 95%The margin of error is calculated using:
[tex]E = z_y \times \frac{\sigma}{\sqrt n}[/tex]
So, we have:
[tex]E = z_y \times \frac{6}{\sqrt {10}}[/tex]
The quantile at 95% confidence interval is 2.262
So, the equation becomes
[tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]
Hence, the equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]
Read more about margin of error at:
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that 45% of adult Americans believe that the overall state of moral values in the United States is poor. (a) Compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans. (b) Interpret the mean. (c) Would it be unusual to identify 240 adult Americans who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans
Answer:
a) The mean is 225 and the standard deviation is 11.12.
b) It means that in samples of 500 adult Americans, the number of those who believe that the overall state of moral values in the United States is poor is expected to be around 225.
c) No, since 240 is less than 2.5 standard deviations from the mean.
Step-by-step explanation:
For each adult American, there are only two possible outcomes. Either they believe the overall state of moral values in the US is poor, or they do not. The adults are independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In the binomial distribution, a value is considered to be unusual if it is more than 2.5 standard deviations from the mean.
45% of adult Americans believe that the overall state of moral values in the United States is poor.
This means that [tex]p = 0.45[/tex]
(a) Compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans.
Sample of 500 means that [tex]n = 500[/tex]
Mean:
[tex]E(X) = np = 500*0.45 = 225[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.45*0.55} = 11.12[/tex]
The mean is 225 and the standard deviation is 11.12.
(b) Interpret the mean.
It means that in samples of 500 adult Americans, the number of those who believe that the overall state of moral values in the United States is poor is expected to be around 225.
(c) Would it be unusual to identify 240 adult Americans who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans
2.5 standard deviations above the mean is:
225 + 2.5*11.12 = 252.8
So 253 or more would be unusual, 240 no.
Help pleaseeeeeee and good morning
Answer:
1a w=-9 1b s=20/7
2a x=12 2b v=11
3a b=10 3b a=9/5
4a c=1 4b x=2
Step-by-step explanation:
Encuentra el saldo de la cuenta crédito y débito. Debe 100.000 450.000 500.000 650.000 haber 250.000 300.000 50.000 20.000
Answer:
can u translate that to English... i have no idea what you just said
Step-by-step explanation:
LOL
A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to
make a pie and a jar of applesauce. Yesterday, the farm picked 268 Granny Smith apples and 98 Golden
Delicious apples. How many pies and jars of applesauce can the farm make if every apple is used?
Needed for pie : 9 and 3
Needed for apple sauce : 4 and 2
Answer:
IF I am correct, 5
Step-by-step explanation:
98/ 18
1 point
7. The square below represents one whole. Express the shaded area as a
percent. (PLEASE WRITE THE PERCENT SYMBOL IN YOUR ANSWER). *
I would say 50%.
Hope I helped you!Success!
Write a linear regression equation for the following data, rounding all coefficients to
the nearest thousandth.
X. y
3 -5
7 11
10 23
14 45
15 49
16 47
If it took 30 minutes to give out 75 diplomas
last year, how long will it take to give
diplomas to the 90 graduates this year?
Hi king/quee/royalty. I have the answer: x=36
3
Which algebraic expression correctly translates the phrase below?
35 times the difference of a number and 6
O A. 35 x (n – 6)
B. 35 x,(6 = n)
O C. 6 - n x 35
O
D. (35 x n) - 6
4
And
I NEED IT NOW PLEASEEEEEE
Answer : A. 35x (n-6)
Step-by-step explanation
If you have 2/3 and 4/8 are they equivalent? No
Answer:
No is correct
Step-by-step explanation:
convert 2/3 into 6ths
4/6 = 8/12
so no, non of them equal to 4/8
Answer: No they are not
Step-by-step explanation:
What is the value of x in the figure? Enter your answer in the box.
145°
(2x + 15)°
Someone help me please hurry
The answer is x=65.
The step by step explanation is on the paper.
4-4x-9x how many terms
Answer:
3 terms
Step-by-step explanation:
4 4x and 9x
Shoes cost $20 a pair and boots cost $60 a pair. Arlene and Jerry spent $8000 and bought 3 times as many boots as shoes. How many pairs of each did they buy?
Answer:
They bought 40 shoes and 120 boots.
Step-by-step explanation:
So from the question itself we can make the following equation.
Let "x" be the number of shoes they bought, then...
20(x) + 60(3x) = 8000
20x + 180x = 8000
200x = 8000
x = 8000 / 200
x = 40
From here we know that..
# of shoes they bought = x = 40
# of boots they bough = 3x = (3)(40) = 120
What is the side of the square garden that has an area of 100
square feet?
A leaky 10-kg bucket is lifted from the ground to a height of 12 m at a constant speed with a rope that weighs 0.5 kg/m. Initially the bucket contains 36 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 12-m level. Find the work done. (Use 9.8 m/s2 for g.) Show how to approximate the required work by a Riemann sum. (Let x be the height in meters above the ground. Enter xi* as xi.)
Answer:
The work done is 3645.6 J or 3.6 kJ
Step-by-step explanation:
M1 = (0.5 kg/m)(12 - x m) = (6 - 0.5x) kg
At the height of x meters (0<=x<=12), the mass of the rope is,
M2 = (36kg/12m)(12 - x m) = (36 - 3x m) kg
At the height of x meters (0<=x<=12), the mass of the water is,
M3 = 10 kg
The mass of the bucket is 10 kg
Then, Total mass M is,
M = M1 + M2 + M3 = (6 - 0.5x) + (36 - 3x) + 10 = (52 - 3.5x) kg
From Force F = mass m * acceleration due to gravity g
Force = mass x gravity
F = 9.8(52 - 3.5x) Newtons
To get the work done W,
Follow the attached file,
The work done is 3645.6 J or 3.6 kJ
help me plzz i beg you plzz i appreciate the help
Answer:
B? - Hopes it helps
Step-by-step explanation:
Happy early valentines Day! - p.s mark me brainly and another bessing comes ur way!
A tech company bought a number of computers for its employees: 66 costing \$1600$1600 each, 44 costing \$1200$1200 each, and yy costing \$900$900 each, where yy is a positive odd integer. If the median price for all the computers purchased by the company was \$1200,$1200, what is the greatest possible value of yy
Answer:
5
Step-by-step explanation:
A tech company bought a number of computers for its employees: 6 costing $1600 each, 4 costing $1200 each, and y costing $900 each, where y is a positive odd integer. what is the greatest possible value of y
Solution:
The median of a group of numbers is the middle number when the group of numbers have been arranged either in ascending of descending other. The median of an even group of numbers is the average of the two most middle most numbers while the median of an odd group of numbers is the middle number.
Since there are 6 computers costing $1600, 4 computers costing $1200 each and y computers costing $900 each. Since y is odd, hence y + 6 + 4 would be odd and the median would be the middle number.
Given that the median price = $1200, this means that the middle of the group of numbers is $1200
900, 900, ..., 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
Since y is odd, for the median price to be $1200, y has to be 3 or 5.
If y = 3:
900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
median = $1200
If y = 5:
900, 900, 900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
Median = $1200
Therefore the greatest possible value of y is 5
By knowing that the median must be $1,200, we will see that the greatest possible value of y is y = 9.
We know that the company bought:
6 computers costing $1,6004 computers costing $1,200y computers costing $900We know that y is a positive odd number.
We also know that the median is $1200, now we want to get the maximum value of y such that the median is $1200. (Remember that the median is the value of the middle element of the set).
Then we will have the distribution:
{ y elements, $1200, the other 3 $1200 computers plus the 6 $1600 computers}
Notice that y (the number of elements at the left of the median) must be equal to the number at the right of the median.
At the right of the median, we have a total of 9 computers, then y must be equal to 9.
The greatest possible value of y is 9.
If you want to learn more, you can read:
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use the distributive property to rewrite each expression (2+g)8
Answer:
16+8g
Step-by-step explanation:
Just multiple everything by 8
Hope this helps (:
Answer:
8g+16
Step-by-step explanation:
I guess it can be kind of confusing when the number outside of the parentheses is on the right side of the equation? I don't know lol, but the same rules apply.
If it helps, rewrite it as: (2+g)8 --> 8(2+g)
Now multiply: (8*2)+(8*g)
Simplify: 16+8g or 8g+16 (however you want to write it)
To test the effectiveness of a new, cholesterol-lowering drug, a group of researchers recruits 200 volunteers with high cholesterol to take part in a study. The researchers place the numbers 1 through 200 in a hat and have each participant select a number. Those who picked an odd number receive the new drug, while those who picked an even number receive a placebo. Which experimental design are the researchers using?
a. Representative Sample Design
b. Completely Randomized Design
c. Matched-Pair Design
d. Randomized Block Design
Answer:
c. Matched-Pair Design
Step-by-step explanation:
The experimental research study showcased above exhibits two different treatments groups ; the new cholesterol lowering drug and the placebo. The allocation of observations or subjects into groups was based on pair selection which is based on whether subjects picked an even or odd number. Subjects who picked the odd are moved to the treatment group of the new drug while those who picked an even number are referred to the placebo treatment group. This type of research design which involves two pairs of treatment and allotment pattern is called a matched pair research design
Answer:
Completely Randomized Design
Step-by-step explanation:
Rationale: When all patients aer assigned treatment or control randomly without considering other factors, this is called a cmpletely randomized design.
The value of a certain stock has decrease 5% per day for the past 10 days. The initial price of the stock was $30 per share. Which equation describes the value of the share price of the stock as a function of n the number of days elapsed during the 10 days period?
Your answer is:
V(n) = 30(0.95)^n
Why?
Well here is why!
Rate of decrease = 5%
Period, n = 10 days
Initial stock price = $30
Value of share price as a function of n:
Value, V(n)
Initial price = A
V(n) = Initial price(1 - rate)^n
V(n) = 30(1 - 0.05)^n
V(n) = 30(0.95)^n
Hope this helps if it did mark brainlist!
Solve x−1=8 Math Problem
Answer:
x = 9
Step-by-step explanation:
9 - 1 = 8
Answer:
x = 9
Step-by-step explanation:
Add 1 to each side:
x - 1 = 8
x = 9
What is
3 1/2 + 3/4 =
1. Which of the following is an example of a phenotype?
A. DD
B. Dd
C. dd
D. green seeds
I need help plz help me!!!!
I need Help please with this question. Giving brainliest
Answer:
Step-by-step explanation:
20
this is so the other person gets his/her/their well earned brainliest :)
I need help please I will give you brainliest
Answer:
Step-by-step explanation:
4a: x=729
4b: x=9/25
5a ln (2)
5b log2(24
PLEASE HELP!!!
question 1: What is the coefficient of the third term of the trinomial? (In other words, what is C?)
(2x + 3)(4x − 1) = 8x^2 +10x − C
Question 2: What is the coefficient of the second term of the polynomial? (In other words, what is B?)
(x + 2)(2x^2 + x − 1) = 2x^3 + Bx^2 + x − 2
question 3: What is the coefficient of the third term of the polynomial? (In other words, what is C?)
(x + 2)(x^2 −3x − 2) = x^3 −x^2 −Cx − 4
The value of C is -3 and the value of B is 5
ExpansionGiven the expression
(2x + 3)(4x − 1)
On expansion, ww will have:
(2x + 3)(4x − 1) = 8x^2 - 2x + 12x - 3
(2x + 3)(4x − 1) = 8x^2 + 10x - 3
Hence the value of C is -3
For the expression (x + 2)(2x^2 + x − 1)
Expnd
(x + 2)(2x^2 + x − 1) = 2x^3 + x^2 - x + 4x^2 + 2x - 2
(x + 2)(2x^2 + x − 1) = 2x^3+ 5x^2 +x - 2
Hence the value of B is 5
Learn more on expansion here: https://brainly.com/question/13602562
pls help soon make it in like 3 mins or less pls
What is the probability of pulling out a diamond card out of a standard deck and rolling a 5?
Answer:
1/24
Step-by-step explanation:
The probability of drawing a diamond is 1/4 and the prob. of rolling a 5 is 1/6. Multiply the two together
I NEED HELP ASAP Fanks luv
Answer:
P = 9; A = 3
Step-by-step explanation:
a)
1. ATC is similar to GDO
2. 12 / 3 = 4
3. Triangle A has to be divided by 4 to figure out what Triangle B is
4. GD = 3, GO = 4, DO = 2
5. P = 3 + 4 + 2 + 9
b)
1. B = 2, H = 3
2. Plug into given equation (A = 1/2bh)
3. A = 1/2*2*3
4. 1/2 * 6
5. A = 3
Find the area of this parallelogram. 12 inches 6 in. 7 in.
area of this parallelogram=b×h=13×6=72inches