Answer:
Option D.
Step-by-step explanation:
Suppose that we have a set of N values:
{x₁, x₂, ..., xₙ}
The median is the value in the middle, and the mean is calculated as:
[tex]M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}[/tex]
Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k" (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)
Now we add 7 to all the values greater than the median
We subtract 7 to all values smaller than the median.
Then the median remains unchanged (because we did not add nor subtract anything to the median).
The new mean will be:
[tex]M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N} = \frac{(x_1 + x_2 + ... + x_n)}{N} = M[/tex]
So the mean does not change.
Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.
Finally, the standard deviation is computed as:
[tex]SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }[/tex]
Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)
Then the only value that does not have the same value in both the original and new data sets is the standard deviation.
Fifty seven percent (57%) of the students applying to a university are accepted. In other words, there is a 57% probability of being accepted. A sample of 12 applicants has been selected. Using Excel, answer the questions below. Please, round your solutions to 4 decimal places (if your answer has less than 4 decimals, it is okay to leave it as it is).
A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. (Round your answer to 4 decimal places.) What is the process capability index for the process
Answer:
For this process, the capability index is 0.4444
Step-by-step explanation:
Given the data in the question;
Lower specification limit = 22.8 mm
Upper specification limit = 23.2 mm
The standard deviation σ = 0.15 mm
Mean μ = 23
capability index Cpk = ?
Now, Using the formula;
Cpk = min{ [(USL - μ)/3σ], [(μ - LSL)/3σ]
where USL is the Upper specification limit, LSL is the Lower specification limit, σ is the standard deviation, μ is the mean
so we substitute
Cpk = min{ [(23.2 - 23 )/(3×0.15)], [(23 - 22.8)/(3×0.15)] }
Cpk = min{ [0.2 / 0.45 ], [0.2 / 0.45] }
Cpk = min{ [ 0.4444 ], [0.4444] }
Therefore, for this process, the capability index is 0.4444
Question 6 of 15
Which of the following is a polynomial?
Answer:
A
Step-by-step explanation:
Fifteen students were asked how many board games they played last week. The responses are summarized in the table.
Number of
Board Games
Played
Number of
Students
0
5
6
1
2.
3
3
1
Find the mean and median number of board games played by the students.
Drag numbers to the blanks to show your answer.
mean
median
0
0.5
1
1.5
2
2.5
3
Answer:
Mean - 1.5
Median - 1.5
Step-by-step explanation:
Median = middle number
Means = all numbers added up and divided by how many are there
What is the vertex of x2 + 8x + 12?
Answer:
(-4,-4)
YW :))
Or you could of just looked it up cause thats what I did!!
help again asap thanks
Answer:
simplify
[tex] \frac{ - 168}{4} = - 42[/tex]
Find the volume of the pyramid. Write your answer as a fraction or mixed number.
2 ft
1 ft
2 ft
Answer:
V=lwh /3
Step-by-step explanation:
What is the angle of C?
Answer:
32.5
Step-by-step explanation:
All you had to do was measure them see what was the half of each
Alex is making a blanket for her nephew. The blanket has a length of 5 ft and a width of 4 ft. She is going to sew ribbon edging around the perimeter of the blanket. The edging costs $3 per yard. How much will it cost for Alex to get the amount of ribbon edging that she needs? Help Resa 5 ft Skip 4 ft 4 ft 5 ft HINT: There are 3 feet in one yard.
She will need 6 yards. the permiter is 16 which 5 wouldnt be enough
This is worth 30 points
Answer:
There's 3 questions which one do I answer?
Step-by-step explanation:
a car company uses the table below to show customers the appropriate amount of gas used when a car has been driven a certain number of miles.
if the car always uses the same amount of gas each time, how many gallons of gas would be needed to travel 480 miles?
A. 20
B. 24
C. 33
D. 39
Answer:
B. 24
Step-by-step explanation:
This is a simple ratio.If 1 mile = 0.05 gallons of gasoline, then 480 miles = 24 gallons of gasoline!
Every child who comes to Dr. Dean's dental office gets to choose a goody bag to take home.
There are 6 toothbrush colors and 8 toothpaste flavors to choose from. There are also 3
flavors of dental floss. Finally, Dr. Dean lets children choose from 5 different stickers for the
outside of the goody bag. How many different goody bags can a child make?
Answer:
720
Step-by-step explanation:
I think you just have to do
6x8x3x5
9. A shipping box is shaped like a rectangular prism. The dimensions of the box are in inches, as shown below.
(w+5) inches
(w+4) inches."
(2w) inches
Which expression describes the volume, in cubic inches, of the box?
A. 2w3 + 9w + 20
B. 243 + 182 + 402
C. 2u2 + 18w + 40
D. 2w2 + 4w+5
Given:
The dimensions of the box are (w+5) inches, (w+4) inches, (2w) inches.
To find:
The expression that describes the volume of the box.
Solution:
We know that the volume of a rectangular prism is:
[tex]V=length\times breadth \times height[/tex]
Substituting the given values, we get
[tex]V=(w+5)\times (w+4) \times 2w[/tex]
[tex]V=(w^2+5w+4w+20)2w[/tex]
[tex]V=(w^2+9w+20)2w[/tex]
Using distribution property, we get
[tex]V=(w^2)2w+(9w)2w+(20)2w[/tex]
[tex]V=2w^3+18w^2+40w[/tex]
Therefore, the volume of the box is [tex]2w^3+18w^2+40w[/tex] cubic inches.
Note: All the options are incorrect.
A teacher decorated her classroom with 3 times as many balloons as paper fans. She used 12 fewer streamers than twice the number of paper fans. If the teacher had a total of 120 balloons, paper fans, and streamers, how many of each kind of decoration did she use?
Answer:
Hi– I didn't answer this problem but someone else did.
Step-by-step explanation:
https://brainly.com/question/23533871
please help me pass please I need the most help ever is someone knows how to do these pls hmu on at ixgweeb
Answer:
tanx=b/c
sinx=b/a
cosx=c/a
Step-by-step explanation:
Answer:
REVENGE
Step-by-step explanation:
PLEASE HELP MEEEEEEEEE
Answer:
Step-by-step explanation:
plz plz plz plz help me plz it is due in 1 hour and no links plz
Answer:
B
Step-by-step explanation:
The formula for the area of a triangle is given as:
A = ½*base*height
A = ½*b*h
A = (bh)2
If we know the area (A) and the base, to find the height, the following would be done:
Divide both sides by b
A/b = h/2
Multiply both sides by 2
[tex] \frac{A}{b} * 2 = h [/tex]
As we can see here, to find the base, we would divide the area by the vase, then multiply what we get by 2.
The inside diameter of a randomly selected piston ring is a normally distributed random variable with mean 12 cm and standard deviation 0.04 cm. (a) What is the diameter that is exceeded by only 5% of the piston rings
Answer:
[tex]x=12.07[/tex]
Step-by-step explanation:
From the question we are told that:
Mean [tex]\=x =12cm[/tex]
Standard deviation [tex]\sigma=0.04[/tex]
Significance level [tex]\alpha=5\%=0.05[/tex]
Therefore
Confidence level [tex]95\%=0.95[/tex]
From table [tex]P(z<1.645)=0.95[/tex]
Generally the equation for Z-score is mathematically given by
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]x=z\sigma+\mu[/tex]
[tex]x=1.645*0.04+12[/tex]
[tex]x=12.07[/tex]
Pls help I’ll brainlest and add extra points asap
Step-by-step explanation:
1. E
2. G
3. I
4. J
5. H
6. F
7. A
8. D
9. B
10. C
A school has found from past records that the average scores for boys is 75 in a sample of 45 boys, and the average scores for girls is 85 in a sample of 30 girls. The population standard deviations for boys' and girls' scores were 25 and 17, respectively. The 90% confidence interval for the difference of the population means is approximately (_____, −2.022). Assume that the distributions of the scores of men and women are normally distributed. Round your answer to two decimal places.
Confidence Level Corresponding zc Value
90% confidence zc=1.645
95% confidence zc=1.96
99% confidence zc=2.576
Answer:
The 90% confidence interval for the difference of the population means is approximately (-17.98, -2.02).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
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]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Boys:
Mean of 75, sample of 45, standard deviation of 25.
This means that [tex]\mu_B = 75, s_B = \frac{25}{\sqrt{45}}[/tex]
Girls:
Mean of 85, sample of 30, standard deviation of 17.
This means that [tex]\mu_G = 85, s_G = \frac{17}{\sqrt{30}}[/tex]
Distribution of the difference of mean grades of boys and girls:
[tex]\mu = \mu_B - \mu_G = 75 - 85 = -10[/tex]
[tex]s = \sqrt{s_B^2+s_G^2} = \sqrt{(\frac{25}{\sqrt{45}})^2+(\frac{17}{\sqrt{30}})^2} = 4.85[/tex]
Confidence interval:
As stated, the critical value is [tex]z = 1.645[/tex]
The margin of error is of:
[tex]M = zs = 1.645*4.85 = 7.98[/tex]
Lower bound:
[tex]\mu - M = -10 - 7.98 = -17.98[/tex]
Upper bound:
[tex]\mu + M = -10 + 7.98 = -2.02[/tex]
The 90% confidence interval for the difference of the population means is approximately (-17.98, -2.02).
Sam's first six scores were 90, 80, 90, 80, 80, and 100. What is the median of these scores?
Answer:
85
Step-by-step explanation:
ILL GIVE BRAINLYEST TO WHOEVER IS CORRECT PLEASE
The dot plots show the amounts, in dollars, that two
waiters made in tips at different tables.
Waiter A: Tips (dollars)
4 6 8 10 12 14 16 18 20 22 24
Waiter B: Tips (dollars)
4 6 8 10 12 14 16 18 20 22 24
Which of the following statements is correct?
A. The mean for waiter B is higher than the mean for waiter A.
B. The mean for waiter A is the same as the mean for waiter B.
C. The mean for waiter A is higher than the mean for waiter B.
O D. There are more tips shown for waiter A than for waiter B in the dot
plots.
Answer:
A The mean for waiter B is higher than the mean for waiter A.
Answer:
The mean for waiter B is higher than the mean for waiter A.
Step-by-step explanation:
Test approved
How find the length of a hypotenuse triangle
Answer:
Step-by-step explanation:
A hypotenuse is calculated on a triangle with a right angle. The hypotenuse is the side opposite the sides with the right angle. The equation is a^2 + b^2=c^2 where the hypotenuse is the square root of c.
Nina purchases a gallon of milk for $3 and some tomatoes for $2 per pound
from the grocery store. Which equation represents the relationship
between the number of poundsp of tomatoes purchased and the total
amount x Nina spent at the grocery store? *
Answer:
x = 3 + 2p (2p is 2 times p)
Admission to a Museum is $30 for adults and $20 for students. The freshman class is attending a field trip
with teacher chaperones. Mr. Frees collects $6050 total from teachers and students, and 297 total people
go on the field trip. How many students and teachers attended?
Use s for # of students and a for # of adults
A) Write the equation representing the total number of people who went to the Museum
B) Write the equation representing the total amount of money collected
Now solve your system on your own paper
C) Number of students attending:
D) Number of adults attending:
Submit Question
9514 1404 393
Answer:
A) a + s = 297
B) 30a +20s = 6050
C) 286 students
D) 11 adults
Step-by-step explanation:
A) Total people is the sum of the numbers of adults and students:
a + s = 297
__
B) Total revenue is the sum of revenue from each class of attendees:
30a +20s = 6050
The solution is ...
30a + 20(297 -a) = 6050 . . . there were 297-a students
10a = 110 . . . . . . . . . . . . . . . . subtract 5940
a = 11
s = 297 -11 = 286
__
C) 286 students attended.
__
D) 11 adults attended.
what is the median of 7,4,3,5,6,5
Answer:
3 and 5 the two middle numbers
median is the middle number in a sequence
Answer:
5
Step-by-step explanation:
First we put all the numbers in order like so: 3,4,5,5,6,7
If we had a odd number of numbers we would just pick the middle one
But since here we have 6 numbers its even so 5 and 5 come in the middle so it is automatically 5.
Hope I could help!
If f(x) = -x^3+ 2x^2 - 3, find f(2).
PLEASE PLEASE
Answer:
Step-by-step explanation:
f(x) = -x^3+ 2x^2 - 3
Putting value of x = 2
F(2) = - (2)^3 + 2(2)^2 - 3
= - 8 + 8 - 3
= - 3
Option B is the correct answer
(2v-3u)-(v-4u)+(v+4u)
Answer:
2v + 5u
Step-by-step explanation:
17. Calculate the profit and loss percent if CP is RS 480 andSP is RS420
Answer:
there is no profit there is loss because CP is greater than SP
Step-by-step explanation:
loss=CP-SP
=Rs480-Rs420
=Rs60
loss%=loss/cp*100%
=60/480*100%
=6000/480
=12.5%
Anyone know how to do this?
Answer:
any number that satisfies this equation is imaginary.
Step-by-step explanation:
if you take the square root of both sides to find x, you will get a negative 1 in the house. You can't have a negative number in the house, therefore, any number that satisfies this equation is imaginary.