Answer:
[tex]Mean = 48.6364[/tex]
[tex]s^2 = 331.8545[/tex] -- Sample Variance
[tex]s = 18.2169[/tex] --- Sample Standard Deviation
Step-by-step explanation:
Given
[tex]n = 11[/tex]
[tex]Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45[/tex]
Solving (a): The sample mean
[tex]Mean = \frac{\sum x}{n}[/tex]
So:
[tex]Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}[/tex]
[tex]Mean = \frac{535}{11}[/tex]
[tex]Mean = 48.6364[/tex]
Solving (b): Sample variance (s^2)
This is calculated as:
[tex]s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}[/tex]
Where:
[tex]\bar x = 48.6364[/tex]
So:
[tex]s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}[/tex]
[tex]s^2 = \frac{3318.54545456}{10}[/tex]
[tex]s^2 = 331.8545[/tex]
Solving (c): Sample Standard Deviation (s)
This is calculated as:
[tex]s = \sqrt {s^2[/tex]
[tex]s = \sqrt{331.8545[/tex]
[tex]s = 18.2169[/tex]
Any help anyone? Running out of time
ill mark brainlist plss help
Answer:
32 in
Step-by-step explanation:
area is the product of length and width
Find the value of x. Round the length to the nearest tenth.
A. 7.2 ft
B. 6.9 ft
C. 13.9 ft
D. 9.7 ft
Answer: 7.2ft
I explanation
The Venn diagram shows the number of elements in each set.
Find n (P'ng
Answer:
Option C. 10
Step-by-step explanation:
From the question given above, the following data were obtained:
P = {3}
Q = {10}
PnQ = {5}
(PuQ)ᶜ = {9}
PᶜnQ =?
Next, we shall determine the complement of P (Pᶜ).
Complement of P (Pᶜ) are elements found in the universal set but not found in the set P. The complement of P (Pᶜ) can be obtained as follow:
Universal set (U) = {3,5,10,9}
P = {3}
Pᶜ = {5,10,9}
Finally, we shall determine PᶜnQ. This can be obtained as follow:
Q = {10}
Pᶜ = {5,10,9}
PᶜnQ = Elements common to both Pᶜ and Q.
PᶜnQ = {10}
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $39,000 and $54,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. (Round your answers up to the nearest whole number.) What is the planning value for the population standard deviation
Answer:
The planning value for the population standard deviation is $3750.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
95% confidence interval between $39,000 and $54,000.
This means that $39,000 is two standard deviations below the mean, and $54,000 is two standard deviations above the mean. This means that between $39,000 and $54,000 there are four standard deviations. So
[tex]4\sigma = 54000 - 39000[/tex]
[tex]4\sigma = 15000[/tex]
[tex]\sigma = \frac{15000}{4}[/tex]
[tex]\sigma = 3750[/tex]
The planning value for the population standard deviation is $3750.
13 inches = __ ft
PLS HELP PLS
Answer:
1.083
Step-by-step explanation:
Please help!!!!!!!!!!!!
Help pls pls i beg i dont wanna fail
Answer:
1/2 < 3/4
2/6 > 2/8
Step-by-step explanation:
3/4 is bigger than 1/2 and 2/6 is bigger than 2/8.
Evaluate the equation: 27m=9.45
Answer:
m = 0.35
Step-by-step explanation:
Divide 9.45 by 27
Really need help thank you!
Answer:
x=28
Step-by-step explanation:
when the angles are supplementary add them together and set them to 180 after doing so you'll have
4x+2x+12=180
now you combine like terms and then solve for x
Find the total surface area of this cone.
Leave your answer in terms of n.
3 cm
h
4cm
SA = [? ]cm
Answer:
36
Step-by-step explanation:
I need help please.
Answer:
A
Step-by-step explanation: its questionable but i think its A
How do you solve 3n-4=14! I need it explained
Answer:
n=6
Step-by-step explanation:
3n-4=14
Add 4 to both sides;
3n-4+4=14+4
Simplify;
3n=18
Divide both sides by 3
3n/3=18/3
Simplify;
n=6
State whether each pair of expressions are equivalent. Show your work.
9 ( y - 2 ) and 18 - 9y=
Answer:
Step-by-step explanation:
9y - 18 and 18 - 9y are not equivalent because in the first equation 9 is a positive number while in the second equation its a negative number
Any Point Stealing Will Solution In A Ban.
Answer:
hi, the answer is b
Step-by-step explanation:
i dont know how to explain it but good luck!
<3
Answer:
I really only know second one
So for team a the median is 4
the upper is 5 and the lower is 2
the highest is 8 lowestis 0
The median for b is 8
upper is 9 lower is 6
lowest is 0 highest is 10
It can't be a because they don't have the same median. Team A DOES have a lower median. It is not C. I really am thinking B
Step-by-step explanation:
4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes??? someone help
Answer:
7 pairs of shoes costs $140
Step-by-step explanation:
80/4 = $20 per pair of shoes
20* 7 = $140
7 pairs of shoes costs $140
Answer: 140$ $80/4 is 20 so the cost for one pair of shoes is 20$ so 20$ times 7 is 140$
Step-by-step explanation:
What is the range of f(x) = (three-fourths) Superscript x – 4?
Answer:
What is the range of f(x) = (three-fourths) Superscript x – 4?
* {y | y > –4}
** Left-brace y vertical line y greater-than three-fourths right-brace
*** {y | y < –4} <<<correct
**** Left-brace y vertical line y less-than three-fourths right-brace
Step-by-step explanation:
Edge 2021
A questionnaire is developed to assess women's and men's attitudes toward using animals in research. One question asks whether animal research is wrong and is answered on a 7-point scale. Assume that in the population, the mean for women is 5, the mean for men is 4, and the standard deviation for both groups is 1.5. Assume the scores are normally distributed. If 12 women and 12 men are selected randomly, what is the probability that the mean of the women will be more than 1.5 points higher than the mean of the men
Answer:
0.2061 = 20.61% probability that the mean of the women will be more than 1.5 points higher than the mean of the men
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Women:
Mean 5, standard deviation 1.5.
Sample of 12.
So
[tex]\mu_{W} = 5[/tex]
[tex]s_{W} = \frac{1.5}{\sqrt{12}} = 0.433[/tex]
Men:
Mean of 4, standard deviation 1.5.
Sample of 12.
So
[tex]\mu_{M} = 4[/tex]
[tex]s_{M} = \frac{1.5}{\sqrt{12}} = 0.433[/tex]
What is the probability that the mean of the women will be more than 1.5 points higher than the mean of the men?
This is:
[tex]P(W - M) \geq 1.5[/tex]
Subtraction:
[tex]\mu_{W-M} = \mu_{W} - \mu_{M} = 5 - 4 = 1[/tex]
[tex]s_{W - M} = \sqrt{s_{W}^2+S_{M}^2} = \sqrt{0.433^2+0.433^2} = 0.6124[/tex]
The probability is 1 subtracted by the pvalue of Z when X = 1.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
In this distribution
[tex]Z = \frac{X - \mu_{W-M}}{s_{W - M}}[/tex]
[tex]Z = \frac{1.5 - 1}{0.6124}[/tex]
[tex]Z = 0.82[/tex]
[tex]Z = 0.82[/tex] has a pvalue of 0.7939
1 - 0.7939 = 0.2061
0.2061 = 20.61% probability that the mean of the women will be more than 1.5 points higher than the mean of the men
ill mark brainlist plss help
Which number line shows all the values of x that make the inequality -3x+1<7 true?
Answer: the answer is b
Step-by-step explanation: because open is< or >
The number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.
What is the number line?The number line is the way of representation of number and digits in a arranged form to understand the data batter.
The given inequality in the problem is,
[tex]-3x+1 < 7[/tex]
Subtract 1 both side of the equation and solve it further,
[tex]-3x+1-1 < 7-1\\-3x < 6[/tex]
Divide with number 3,
[tex]-x < \dfrac{6}{3}\\-x < 2[/tex]
Change the sign of the inequality by filliping the inequality sign,
[tex]x > -2[/tex]
Here, the inequality is greater than the number negative 2. The value of x is greater than, thus, the arrow will point towards left and there will be open circle. This is shown in the option D.
Thus, the number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.
Learn more about the number line here;
https://brainly.com/question/24644930
#SPJ2
Phil wants to enlarge a photo that is 6 inches wide and 8 inches tall. The enlarged photo keeps the same ratio. How tall is he enlarged photo if it is 12 inches wide
Answer:
The file contains the solution to the question
6 in
5 in
14 in
Area =
Answer:
184
Step-by-step explanation:
2*(6*5+6*14+5*14)=184
pls help me asapp quick easy 10 points
Please help I don’t know these questions
Please help me out quick..
Answer:
A
Step-by-step explanation:
When you remove the top layer, you lose 9 squares. So now there are only 18 squares left. The length is 3 beacuse, now it is only 3 sqaures long. And it is still 3 wide. The only change is in height as it is now 2 squares high.
I hope this helps!!
Rewrite 10x - 5y = -30 in slope-intercept form.
somebody help me wit dis
Answer:
y = 2x + 6
Step-by-step explanation:
10x - 5y = -30
-5y = -10x - 30
y = 2x + 6
The points T(1,5), U(-5,1), and V(4,-2) are the midpoints of the sides of triangle ABC. Graph the three midsegments. Complete the coordinates of each vertex of triangle ABC. Pls answer quick
Answer:
use your instincts
Step-by-step explanation:
trust your gut that is what my idiot dad told me to do
write 194.218 in expanded form
The weight of a puppy is 1.6 kg and the weight of a kitten is 750 g. What is the difference in their weights (measured in g)?
Answer:
850g difference
Step-by-step explanation:
1 kilograms is equal to 1000 grams and every 0.1 kilogram is 100, so 1.6 kilograms into grams is 1600 grams. 1600-750=850
And accounts receivable manager process 200 chicks per day with an average processing time of 15 working days what is the average number of accounts receivable checks being processed in her office what if through information technology she reduces the process time from 15 days to 10 days to 5 days what are the advantages and disadvantages of adopting this technology explained?
Answer:
Given that an accounts receivable manager process 200 checks per day with an average processing time of 15 working days, to determine what is the average number of accounts receivable checks being processed in her office, the following calculation must be performed:
200 x 15 = X
3,000 = X
Thus, the average number of accounts receivable checks being processed in her office is 3,000.
In turn, if through information technology she reduces the process time from 15 days to 10 days to 5 days, the advantages and disadvantages of adopting this technology would be less work time and greater processing speed, although in contrast the times of effective work would be saturated.