Answer:
6/1
Step-by-step explanation:
the difference between 12 and -6 is 18 and the difference between 6 and 3 is 3...18/3 is 6/1
As part of a project about response bias, Ellery surveyed a random sample of 25 students from her school. One of the questions in the survey required students to state their GPA aloud. Based on the responses, Ellery said she was 90% confident that the interval from 3.14 to 3.52 captures the mean GPA for all students at her school.
Required:
a. Interpret the confidence level.
b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.
c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?
d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error.
Answer:
a. We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.
b. The length would increase.
c. The interval would be narrower.
d. The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
Margin of error of a confidence interval:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level(higher the confidence level, higher z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
This shows that if we increase the confidence level, the margin of error gets larger and the interval gets wider, while if we increase the sample size the margin of error gets smaller and the interval gets narrower.
a. Interpret the confidence level.
We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.
b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.
We would increase the confidence level, and the interval would get wider, that is, the length would increase.
c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?
Larger sample size means that the interval would be narrower.
d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error.
The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.
Based on the information given in the sample, it should be noted that this implies that we are 90% sure that the mean GPA for all students at the school is between 3.14 and 3.52.
SamplingThe thing that will happen to the length of the interval if the confidence level were increased to 99% is that the length would increase.A 90% confidence interval based on a sample of size 200 compare to the original 90% interval is that the interval would be narrower.Lastly, a potential source of bias in Ellery's study that is not accounted for by the margin of error is making the students state their grades aloud. This will make some of them with lower grades lie.
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3) An air conditioner has a marked price of $350. It is placed on sale at 12% off. What are the
discount and the sale price?
Show work please !
Answer:
12/100 = x/350
4200 = 100x
4200/100 = 100x/100
42 = x
350 - 42 = 308
the sale price is $308
the discount is $42
Lillian wants to give 1/3 of a pizza to each of six girls at her party
Answer:
[tex]Fraction = \frac{1}{18}[/tex]
Step-by-step explanation:
Given
[tex]Pizza = \frac{1}{3}[/tex]
[tex]Girls = 6[/tex]
Required [Missing Information]
Determine the fraction each girl gets
To do this, we simply divide the pizza by the number of girls i.e.
[tex]Fraction = \frac{Pizza}{Girls}[/tex]
[tex]Fraction = \frac{1}{3} / 6[/tex]
Change / to *
[tex]Fraction = \frac{1}{3} *\frac{1}{6}[/tex]
[tex]Fraction = \frac{1}{18}[/tex]
Hence, each girl gets 1/18
1. In order to save for her high school graduation, Kathrina decided to save ₱200 at the end of every other month, starting the end of the second month. If the bank pays 0.250% compounded monthly, how much will be her money at the end of 5 years? (use j = 0.000417, n = 30)
2. Emma availed of a cash loan that gave her an option to pay ₱10,000 monthly for 1 year. The first payment is due after 6 months. How much is the present value of the loan if the interest rate is 12% converted monthly?
Answer:
1) 202.52
2) P107089
Step-by-step explanation:
Compound interest is calculated as
A = P (1 + r/n)^(nt), where
A = compounded interest
P = present value
r = interest
n = number of times interest applied
t = time taken
A = 200 (1 + 0.25%/30)^(30 * 5)
A = 200 (1 + 8.3*10^-5)^150
A = 200 * 1.0126
A = 202.52
Present Value Annuity Due is usually given by the formula
P = c*((1-(1+ i)^(-n))/i)*(1 + i ), where
P is the present value
C is the Cash flow per period
i is the interest rate and
n is the number of payments
P = 10000*((1-(1+ 12/1200)^(-1*12))/(12/1200))*(1+12/1200)
P = 113676
Also, it's worthy of note that
Effective Annual Rate = [(1 +stated rate/no. of compounding periods) ^no of compounding periods - 1]* 100
EAR = ((1+12/(12*100))^12-1)*100
EAR = 12.68%
And lastly, the
Future value = present value*(1+ rate)^time
113676 = Present value*(1+0.1268)^0.5
Present Value = 113676 / 1.1268^0.5
Present Value = 113676 / 1.0615
Present value = 107089
Algebraic expression for each work phrase and then simplify The sum of four and x minus two
Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2.
Answer:
what do you mean
Step-by-step explanation:
Answer:
x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 = 9x+18
so there are 9 twos or 18 and 9x. No value is provided for x so the answer is 18+9x.
Step-by-step explanation:
A number b is at least - 3.
Answer:
-3 ≥ b is your inequality
Step-by-step explanation:
Kathleen successfully solved the system of equations 4.2 + 3y = 15 and -- 5x – 2y = -24 by multiplying each equation by a constant and adding the two equations together to eliminate
the x-terms. She then solved for y and substituted the value of y back into one of the equations and solved for a. What could she have multiplied each equation by, and what was her final answer?
Answer:
72
Step-by-step explanation
Select the number(s) that make the inequality true,
Select all that apply.
m > 0
A.0.
B.1
c.2
D.3
E.-1
Answer:
A and E
Step-by-step explanation:
Diana spent $5 on lunch. She purchased a sandwich and a drink. The drink cost $2. The
equation s + 2 = 5 can be used to find the cost s of the sandwich. Which model shows the
equation?
Which point is a solution to the following inequality? y<2x+2
Answer:
Y<2x
Step-by-step explanation:
How many terms are in this expression?
-1 - 8a²b?
Answer:
2 terms
Step-by-step explanation:
2
Hope this helps :)))))
Solve:
Three less than the product of eight thirds and nine.
Pls HELP ME
Answer:
21Step-by-step explanation:
Product of eight thirds and nine:
8/3×9 = 24Three less than the product of eight thirds and nine:
24 - 3 = 21help Jake is a bully. He likes to pick on little kids, but they don’t have a way to defend themselves. They complain to teachers about Jake and tells on him.
Answer:
cool
Step-by-step explanation:
Answer:
tells i think
Step-by-step explanation:
it would be tattling not telling..righttttt?????
Select the rule for the sequence The rule for the sequence is? Find the unknown term. The unknown term is
5. Scott planted 20% of a garden with roses. What is the area of
the section of the garden that is planted with roses?
Complete the following statement. The conditional probability of B given A can be found by _______. a. adding P(A) and P(B).b. assuming that event B has occurred, and then calculating the probability that event A will occur c. multiplying P(A) times P(B).d. assuming that event A has occurred, and then calculating the probability that event B will occur.
Answer: Assuming that event A has occurred
Step-by-step explanation:
The conditional probability of B given A can be found by assuming that event A has occurred, and then calculating the probability that event B will occur.
So, the correct answer is d.
The conditional probability of B given A, denoted as P(B|A), represents the probability of event B occurring given that event A has already occurred.
It is calculated by assuming that event A has occurred and then determining the probability of event B occurring under that assumption.
Mathematically, the conditional probability is calculated as:
P(B|A) = P(A and B) / P(A)
Where P(A and B) represents the probability of both events A and B occurring together, and P(A) represents the probability of event A occurring.
Therefore, option d. assumes that event A has occurred and then calculates the probability that event B will occur, which aligns with the definition of conditional probability.
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What is the area of the square?
Step-by-step explanation:
it has 4 sides, all of whick are equal. Answer is 4*4, 16.
I need help please...
Answer:
16^2+32cd+16d^2
Step-by-step explanation:
(4c×4d)(4c+4d)
16c^2+32cd+16d^2 use the foil method
I NEED HELP ASAP I WILL MARK YOU BRAINLIEST
Which pair of angles are Complementary Angles?
45 degrees and 95 degrees
or
38 degrees and 42 degrees
or
30 degrees and 51 degrees
or
63 degrees and 27 degrees
Answer:
63 degrees and 27 degrees
Step-by-step explanation:
Complementary angles are when two angles add to 90 degrees.
So, we can check if these pairs add up to 90 degrees.
45 + 95 = 140
38 + 42 = 80
30 + 51 = 81
63 + 27 = 90
The only pair of angles that are complementary is 63 degrees and 27 degrees.
4a^2 - 8a = 24. I need help with this
63 Avec un octogone
e
E
Dans la figure ci-dessous, ABCD est un carré de côté
12 cm et les segments de même longueur sont codés.
А
В 8.
DN M C
1. Justifier que les triangles API, JBK, ODN et MCL sont
des triangles égaux.
2. Calculer JK puis dire si l'octogone est un
octogone régulier
3. Calculer l'aire Un octogone regulier
de l'octogone
est un polygone à 8 côtés
IJKLMNOP
dont tous les côtés sont
de même longueur.
4.Les diagonales
du carré ABCD se coupent en S.
Construire la figure en vraie grandeur et tracer le
cercle de centre S et de diamètre 12 cm.
5.Le disque de centre S et de diamètre 12 cm a-t-il
une aire supérieure à l'aire de l'octogone? Justifier
la réponse.
D'après DNB Métropole, 2010
Prisen
Answer:
sorry
Step-by-step explanation:
I don't know ........
True or False: Since negative numbers are just numbers, then doing the same thing to each side of an equation works for negative numbers as well.
Answer:
I believe it's true
Step-by-step explanation:
I hope this helps
M(6,5) is the mid-point of the straight line joining A(2 , 3) to the
point B. Find the coordinates of B.
Given :
M(6,5) is the mid-point of the straight line joining A(2 , 3) to the
point B.
To Find :
The coordinates of B.
Solution :
Let, coordinates of point B is ( h , k ) .
It is given that M is the mid - point of the straight line joining points A and B.
Coordinates of M is given by :
[tex]M = (\dfrac{2+h}{2},\dfrac{3+k}{2})\\\\(6,5 ) = (\dfrac{2+h}{2},\dfrac{3+k}{2})\\\\\dfrac{2+h}{2} = 6 \ , \ \dfrac{3+k}{2} = 5\\\\h = 10 \ ,\ k = 7[/tex]
Therefore, coordinates of point B is ( 10 , 7 ).
Please help I’m really stuck on this
Answer:
120
Step-by-step explanation:
Above 44 years ----> 45 to 84.
44 - 64 range 70 are there
65 to 84 range 50 are there
Totally 70 + 50 = 120
120 residents
The width of rectangle is the length minus 2 units. the area of the rectangle is 48 units. What is the width, units, of the rectangle?
Answer:
6
Step-by-step explanation:
W=L-2
A=L*W
48=L(L-2)
48=L^2-2L
You factor and then you get L=8
W=8-2=6
I used a tutor for this and the answer I was given is 17.5. Which is incorrect. I am trying to understand how to solve.
Answer:
A right angle is 90 degree
Step-by-step explanation:
73 -90 degrees is 17 degrees. A right angle, shown is at 90 degrees
What is the decay factor that corresponds to a 99% decrease?
Answer:
It's D. 0.01
Step-by-step explanation:
Took the test
What is the length of side BC 2x+7, 4x-7 4x
Answer:
64.6x
Step-by-step explanation:
I NEED THIS ANSWERED ASAP!!! A bicycle wheel makes five rotations. The bicycle travels 44.48 ft. Find the diameter of the wheel in inches. Use 3.14 for π.