Mean is 5.2, median is 5 and S.D is 2.135
Given data 2, 4, 5, 7, 8
We need to find mean, Median and standard deviation
What is mean and Median?Mean = Sum of Observations/ Number of observations
Median=Middle most Number when arranged in a sequence
Mean = (2+4+5+7+8)/5=26/5=5.2
Median= 5
Standard deviation:
S.D=∑(x- bar)^2/N
To find sD
Subtract mean from each value
2-5.2=-3.2
4-5.2=-1.2
5-5.2=-0.2
7-5.2=1.8
8-5.2=2.8
Square each of those differences
-1.2*-1.2=1.44
-3.2*-3.2=10.24
-0.2*-0.2=0.04
1.8*1.8=3.24
2.8*2.8=7.84
Determine the average of those squared numbers to get the variance.
1.44 + 10.24 + 0.04 + 3.24 + 7.84 = 22.8
Average = 22.8/5=4.56
To find the standard deviation make square root of variance
2.135
Therefore Mean is 5.2, median is 5 and S.D is 2.135
To learn more about Mean and Median click here:https://brainly.com/question/27878918
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What will 20x-4) simplify to?
Answer:
5x + 1
Step-by-step explanation:
Answer: the answer is = 20x − 4
Solve by factoring 25x^2+1=10
Answer:
x=-3/5, 3/5
Step-by-step explanation:
Melody is paid $M per week. She earns a weekly flat wage of $80 plus an additional $0.15 for each of the n customers she advises. Her salary, in terms of the number of customers she advises, n, is represented by the equation . a. Find the salary she receives for advising 360 customers per week for 4 consecutive weeks. b. Melody received $140 at the end of a certain week. How many customers did she advise that week? c. Melody's employer decides to decrease her basic wage to $65 and increase her salary per customer advised to $0.21. Write a linear equation to represent her new salary, M, in n terms of the number of customers she advises, n. d. Find the number of customers she would have to advise in one week to receive the same amount of money before the decrease in basic wage. If you are able, use the text box to show your work and enter your final answer to each question. If not, complete your work on paper and upload it below.
Answer:
A. $536
B. 400 customers
C. M = 65 + 0.21n
D. 250 customers
Step-by-step explanation:
Let
n = number of customers she advises
M = Earnings per week
M = 80 + 0.15n
A. 360 customers per week for 4 consecutive weeks
M = 80 + 0.15n
Let n = 360
M = 80 + 0.15n
= 80 + 0.15(360)
= 80 + 54
= 134
M = $134
Earnings per week for four consecutive week = M × 4
= $134 × 4
= $536
B. Melody received $140 at the end of a certain week
M = $140
M = 80 + 0.15n
140 = 80 + 0.15n
140 - 80 = 0.15n
60 = 0.15n
n = 60 / 0.15
= 400
n = 400
Melody advised 400 customers that week
C. decrease her basic wage to $65 and increase her salary per customer advised to $0.21.
M = 65 + 0.21n
D.
Earnings before change in earnings
M = 80 + 0.15n
Earnings after change in earnings
M = 65 + 0.21n
Equates both earnings
80 + 0.15n = 65 + 0.21n
80 - 65 = 0.21n - 0.15n
15 = 0.06n
Divide both sides by 0.06
n = 15 / 0.06
= 250
n = 250 customers
I AM BAD AT MATH SO I NEED HELP
Answer:
2
Step-by-step explanation:
3-5/-2-(-1)
-2/-1 =
2
Answer:
2
Step-by-step explanation:
The slope is rise over run,
the equation for finding it is,
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
given the points
-2, 3
-1, 5
[tex]x_{1}[/tex] = -2
[tex]x_{2}[/tex] = -1
[tex]y_{1}[/tex] = 3
[tex]y_{2}[/tex] = 5
substitute in
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
=[tex]\frac{(5) - (3)}{ (-1) - (-2)}[/tex]
simplify,
[tex]\frac{2}{1}[/tex]
= 2
Pls help me, I will mark as Brainliest! Thank u! (7th grade math work)
Answer:
Q 1- 15, just multiply 5 x 2 = 15
Q 2- 36, just multiply 8 x 12 = 36
Q 3- y= -2x
Q 4- 1200
Q 5- 20
ANOTHER PROBLEM AND I NEED HELP
Answer:
-2/3
please pick me as brainliest
help me quickk pleaseee
Answer:
question 4: 552mph
Step-by-step explanation:
414/.75=552
Heather's mom says that they would save more than $100 if they buy 4 tickets for their family on opening weekend. Do you agree or disagree with Heather's mom? Use numbers and words to support your answer. If her statement is incorrect, explain the correct way to solve it.
Answer:
The first part of the question is missing, so I looked for similar questions:
Heather and her family are going to the grand opening of an amusement park. There is a special price on tickets this weekend. Tickets cost 56$ each. This is 70% of a regular price ticket.
Part A- What is the cost of a regular price ticket?
Part B- Heather's mom says they would save more than 100$ this opening weekend. Do you agree or disagree with Heather's mom?
A) the price of a regular ticket is $56/70% = $80 per ticket
B) Heather's family is saving ($80 - $56) x 4 tickets = $24 x 4 = $96
Her family is almost saving $100, but not more than $100.
Find the equation of the line that contains the given point and is parallel to the given line. Write the equation in slope-intercept form, if possible. (-6,8); 4x-3y=5
Answer:
y = 4x/3 + 16
Step-by-step explanation:
Since the point new line is parallel to the line 4x - 3y = 5, so it must have the same slope. We now write this equation in slope-intercept form
4x - 3y = 5
-3y = -4x + 5
y = 4x/3 - 5/3
Its slope is the coefficient of x. So, its slope is 4/3 which will be the slope of the new parallel line which passes through the point (-6, 8).
To find the equation of this line, we use
(y - y₀)/(x - x₀) = m where x₀, y₀ are the points which the line passes through and m = slope of line. Given that ( x₀, y₀) = (-6, 8) and m = 4/3, we substitute these values into the equation. We have
(y - y₀)/(x - x₀) = m
(y - 8)/(x - (-6)) = 4/3
(y - 8)/(x + 6) = 4/3
cross-multiplying, we have
3(y - 8) = 4(x + 6)
Expanding the brackets, we have
3y - 24 = 4x + 24
collecting like terms, we have
3y = 4x + 24 + 24
3y = 4x + 48
In slope-intercept form, it is
y = 4x/3 + 48/3
y = 4x/3 + 16
3(x - 4) = -21
Helpppppppppppppp
Answer: -3
Step-by-step explanation:
The Township Board of Meridian Township wants to know how much public support there is for raising property taxes to fix and maintain the roads in the township. They randomly surveyed Township residents and calculated a 90% confidence interval for the actual proportion of Meridian Township residents who are in favor of the tax increase to be (0.58, 0.63).
Complete Question
The Township Board of Meridian Township wants to know how much public support there is for raising property taxes to fix and maintain the roads in the township. They randomly surveyed Township residents and calculated a 90% confidence interval for the actual proportion of Meridian Township residents who are in favor of the tax increase to be (0.58, 0.63).
1. What is the sample proportion? Give the exact answer as a decimal.
2. Which of the following statements must be true?
A. If the sample size had instead been 960 residents, then the 90% confidence interval would be half as wide as the one stated above.
B. A 99% confidence interval calculated using the same survey data will include more plausible values for the population proportion.
C. If a different sample of 480 residents were to be selected, then there is a 90% chance that the new sample proportion will be between 0.57 and 0.62
3. What is the margin of error for this confidence interval? Give the exact answer as a decimal.
4. What is the standard error for this confidence interval? Round your answer to 4 decimal places.
5. What is the 95% confidence interval using the same survey data?
Answer:
1
[tex]\^ p = 0.605[/tex]
2
Correct option is B
3
[tex]E =0.025[/tex]
4
[tex]SE = 0.0152[/tex]
5
The 95% confidence interval is [tex]0.575< p < 0.635 [/tex]
Step-by-step explanation:
From the question we are told that the
The 90% confidence interval is (0.58, 0.63)
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{0.63 + 0.58}{2}[/tex]
=> [tex]\^ p = 0.605[/tex]
Generally the width of a confidence varies directly with the margin of error and this margin of error varies directly with the critical value which increases as the level of confidence increases
So if the confidence level is increased from 90 to 99 the critical value will increase which will increase the margin of error , which will increase the width of the confidence interval (and an increase in the width of confidence interval means that more plausible values for the population proportion will be included )
Therefore the correct option for question 2 is B
Generally the margin of error is mathematically represented as
[tex]E =\frac{0.63 - 0.58 }{2}[/tex]
=> [tex]E =0.025[/tex]
Generally the margin of error can also be mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
=> [tex]0.025 = 1.645 * SE[/tex]
=> [tex]SE = 0.0152[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error can also be mathematically represented as
[tex]E = 1.96 * 0.0152[/tex]
=> [tex]E = 0.02979[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.605 -0.02979 < p < 0.605 +0.02979[/tex]
=> [tex]0.575< p < 0.635 [/tex]
Graph 4x−y=8. Use the line tool and select two points on the line.
Point 1: (0, -8)
Point 2: (2, 0)
A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. 2 ft How much paper will it take to make each tree, including the bottom?
Answer:
20 square feet^2
Step-by-step explanation:
The computation is shown below:
As we know that
The area of a triangle is
= 1 ÷ 2 × base × height
Now for the one triangle is
= 2 × 4 ÷ 2
= 4
No multiplied it by four sides
So, it would be
= 4 × 4
= 16
And, the base of the sqaure is
= 2 × 2
= 4
So, the overall shape would be
= 16 + 4
= 20 square feet^2
Answer:
24,500
Step-by-step explanation:
mary had $20 to spend on seven cupcakes. after buying them she had $6. how much did each cupcake cost?
Answer:
Each cupcake would cost $2
Step-by-step explanation:
lets find the total amount of the seven cupcakes
20 - 6 = 14
so total 7 cupcakes $14
each cupcake costs $14/ 7 = 2
each cupcake $2
Can someone plz help me asap! Will give brainliest and 30 points if you have a good answer. Thank you.
Given the function h(x) = 4x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points) (10 points)
Answer:
The average rate of change in a function f(x) from x=a to x=b is given by
Step-by-step explanation:
SOMEONE HELP I NEED A ANSWER ASAP
If x = 5 and y = 6, what is 2x - 12/y?
PLEASE HELP! WILL MARK BRAINLIEST!
What is the missing reason?
Answer:
Equals
Step-by-step explanation:
Quinn peels 4.5 pounds of apples in 15 minutes what is Quinn’s unit rate for peeling apples in pounds per hour
Answer:
18 pounds per hour
Step-by-step explanation:
Divide to find how many 15 minute segments there are in 1 hour. Note that 1 hour = 60 minutes.
60 / 15 = 4
Multiply 4 to the number of pounds she peels every 15 minutes that go by.
4.5 * 4 = 18 pounds
Best of Luck!
Answer:
18 pounds
Step-by-step explanation:
A pair of boots has an original price of $95. They are on sale for 35 percent off. What number can you multiply $95 by to equal the discountedA sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount? Price of $61.75?
Answer:
A)0.65 should be multiplied by $95 to get the discounted price a value of $61.75.
B)0.90 should be multiplied by $40 to get the discounted price a value of $36
Step-by-step explanation:
A) The original cost of the pair of boots is $95. If it is sold at a discount of 35%(0.35) off. It means that the discount will be; 95 × 0.35
The new price after discount will be;
95 - (95 × 0.35)
Factorizing, we have;
95(1 - 0.35) = 95 × 0.65
Thus, 0.65 should be multiplied by $95 to get the discounted price a value of $61.75.
B) sweater originally costs $40.
At a discount of 10%, the discounted price is;
40 - (40 × 0.1)
40(1 - 0.1)
40 × 0.9
Thus, 0.90 should be multiplied by $40 to get the discounted price a value of $36
If 65 gallons of milk makes 52 pounds of cheese , what is the number of ounces of milk per ounce of cheese ?
Answer:
32 ounces
Step-by-step explanation:
Solve for x and y. Correct answer gets brainliest
Answer:
x = - 5, y = - 6
Step-by-step explanation:
Given the 2 equations
7x - 4y = - 11 → (1)
7x + 4y = - 59 → (2)
Adding the 2 equations term by term will eliminate the term in y
14x = - 70 ( divide both sides by 14 )
x = - 5
Substitute x = - 5 into either of the 2 equations and solve for y
Substituting into (2)
7(- 5) + 4y = - 59
- 35 + 4y = - 59 ( add 35 to both sides )
4y = - 24 ( divide both sides by 4 )
y = - 6
Thus x = - 5 and y = - 6
Answer:
x = -5
y = -6
Step-by-step explanation:
Let's take the top equation.
7x - 4y = -11
and solve it for x.
7x - 4y = -11
7x = 4y - 11
x = [tex]\frac{4y - 11}{7}[/tex]
Now we can substitute it in to the other equation.
7x + 4y = -59
7([tex]\frac{4y-11}{7}[/tex]) + 4y = -59
Now solve this equation.
4y - 11 + 4y = -59
8y - 11 = -59
8y = -48
y = -6
Then substitute negative 6 into the first equation.
7x - 4(-6) = -11
7x -(-24) = -11
7x = 35
x = -5
HELPPP MEEE PLEASEEEE
Answer:
np=b
a
......................................
19 hundred thousandths in scientific
notation.
Bobby was at his friend john house john mom ask if they would walk to the store and get eggs and drinks bobby and john walk to the store the eggs cost $3 and the drinks were $250 how much would it cost in all.
La tienda Sándwich Ya preparó 27 sándwiches
con 12 libras de pavo. ¿Cuántas libras de pavo
se usaron por sándwich?
Plz Help me
What is the following numbers in descending order
Answer:
it goes B C A
Step-by-step explanation:
Allison's math class found that it would take 1.5E7 Artifical Field grass to cover a square mile area. The surface area of the United States is about 2.8E8 square miles. About how much Artifical field grass is needed to cover the United States?
A. 4.0E19
B. 4.2E23
C. 5.0E17
D. Other ________
lol okay heres a funny question
if you dress up as a cactus for halloween and someones asks why what would you say
Answer:
spikes
Step-by-step explanation:
S P I K E S
candy bought a pizza with 10 slices and eat 7, how much percent of the pizza did she eat? SHOW UR WORKING OUT PLZ AND THANK U ❤❤❤❤
Answer: 70%
Step-by-step explanation:
each slice is 10% of the pizza since there are only 10 slices. If she ate 7 of them, she ate 70%.
Use the distributive property to simplify the expression. 8(3x 4)
O 11x+12
O 24x+4
O 24x +32
O 96x
Answer:
[tex]24x +32 [/tex]
Step-by-step explanation:
[tex] \\ 8(3x + 4) = 24x + 32 \\ ♨Rage♨[/tex]