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.
Learn more about sampling on:
https://brainly.com/question/17831271
Use the distributive property to fill the blanks. 3x(8-1)=(3x_)-(3x_)
is 1/2 x 3/4 equal to 1, less than 1, more than 1
Answer:
3/8 so it is less than 1
Step-by-step explanation:
Ramon has 7/8 of a cup of cottage chesse. How many 1/4 cup servings can he make?
PLEASE HELP ME AND SHOW YOUR WORK
Answer:
B
Step-by-step explanation:
Hope the picture helps!
Find the slope.
Bonus: Write the equation of the line.
Answer:
1 so y=1+b
Step-by-step explanation:
9514 1404 393
Answer:
slope: -1equation: y = -x +3Step-by-step explanation:
The slope is the ratio of "rise" to "run". The "rise" is the vertical distance between two points; the "run" is the corresponding horizontal distance.
Here, we see point A is (0, 3) and point B is (1, 2). Then the "rise" is 2 -3 = -1, while the "run" is 1 - 0 = 1. The slope is the ratio ...
m = rise/run = -1/1 = -1
The slope of the line is -1.
__
The point A is the y-intercept, where the line crosses the y-axis. It tells us the value of y is 3 when x=0. So, we can write the equation in slope-intercept form as ...
y = mx + b . . . . . where m is the slope (-1) and b is the y-intercept (+3)
y = -x +3
Use distributive property 25(20-4p)+8
Answer:
508-100p
Step-by-step explanation:
Please help me you don't have to show your work just pls tell me the answer
Answer:
A
Step-by-step explanation:
8 pink : 7 orange
1. What is the value of the expression ƒ2 + 8 if ƒ = 7?
Answer:
f=8/5
Step-by-step explanation:
f*2+=f7
2f+8=f*7
2f+8=7f
2f=7f-8
2f-7f=-8
-5f=-8
How to make 10.74 in two different ways?
Answer:
Step-by-step explanation:
1074/100
1.074*10
0.1074*10
107.4/10
10740/1000
Find the equation of the line that is perpendicular to the x-axis and passes through the point (-10,-1). Give the full equation as your answer. The equation is _______________
Answer:
x = -10
Step-by-step explanation:
First, determine the slope of the answer. The x-axis is a horizontal line, thus the new line must be vertical. All vertical lines are represented by the equation x = a number. That number represents the x-value of all the points the vertical line passes through.
So, since the line passes through (-10, -1), take the x-value of that point and put it into that equation. Thus, x = -10.
1/4 divided by 2/5 fraction form
Answer:
5/8.
Hope this helped.
Another one the last one ASAP
Answer:
13m²
Step-by-step explanation:
Area=6.5*4÷2=13
Answer:
13m
Step-by-step explanation:
1/2 × bas × perpendicular height
hi, i need this quickly, thanks so much
A rectangle has an area 12cm². If the length of the rectangle is ( x + 1 )cm and the width is x cm, find the possible value(s) of x . Show the working please thank you
Answer:
x can be 3 or (-4) because
area of a rectangle= length × breadth
12=x×(x+1)
12=x^2+x
x^2+x-12=0
x^2 +4x-3x-12=0
x(x+4)- 3(x+4)=0
(x+4)(x-3)=0
(x+4)=0 or (x-3)=0
Therefore, x=(-4) or 3
Since, the dimensions of a rectangle cannot be negative, x=3.
Therefore, the width of a rectangle(x)=3 cm,
the length of a rectangle(x+1)=(3+1)=4 cm
Pls mark me as the brainliest.
HELP PLEASE I GOT CACA WIFI
Question-
If x = 4 units, y = 8 units, and h = 7 units, find the area of the parallelogram shown above using decomposition.
answer choices-
A. 28 square units
B. 56 square units
C. 84 square units
D. 112 square units
Answer:28
Step-by-step explanation:
hope this helpes
Topic: Explain all the steps taken to solve the problem below. The measure of the interior angles of the polygon ABCDE are shown below. Determine the measure of angle E.
9514 1404 393
Answer:
∠E = 156°
Step-by-step explanation:
The sum of angle measures in a pentagon is 540°, so we have ...
95 +(7x -4) +90 +(9x -6) +(3x +23) = 540
19x +198 = 540
19x = 342 . . . . . . . subtract 198
x = 18 . . . . . . . . . . .divide by 19
Then the measure of angle E is ...
∠E = (9x -6)° = (9·18 -6)°
∠E = 156°
Explain how you would combine like terms and use properties of operations to solve the inequality 5(2t + 3) - 3t < 16
Step-by-step explanation:
step 1. 10t + 15 - 3t < 16 (distributive property)
step 2. 7t +15 < 16 (combine like terms)
step 3. 7t < 1 (subtract 15 from both sides)
step 4. t < 1/7 ( divide both sides by 7.
Janet, an experienced shipping clerk, can fill a certain order in 7 hours. Jim, a new clerk, needs 9 hours to do the same job.
Working together, how long will it take them to fill the order?
Answer:
zhdhsgscsisgege8djdhshsyw7273yeh3737eyd
What must be on the blank to make statement true.. (3x+_)(xx-4)=3x²-11x-4?
A.1
B.-b
C.13
D. - 13
Pls help me
Answer:
(3x+4)(x-4) is your answer
Step-by-step explanation:
3x²-11x-4
=3x²-12x+x-4
=3x(x-4)+1(x-4)
=(x-4)(3x+4)
A hot air balloon is at an altitude of
100 1/5 yards. The balloon's altitude decreases
by 10 4/5 yards every minute. Determine the
number of minutes it will take the balloon to reach an altitude of 57 yards.
Answer:
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Step-by-step explanation:
Initial altitude:
100 1/5 yards = 100 + 0.2 = 100.2 yards.
Decrease per minute:
10 4/5 yards = 10 + 0.8 = 10.8 yards.
So, after t minutes, the height of the ballon is given by:
[tex]h(t) = 100.2 - 10.8t[/tex]
Number of minutes it will take the balloon to reach an altitude of 57 yards.
This is t for which [tex]h(t) = 57[/tex]. So
[tex]h(t) = 100.2 - 10.8t[/tex]
[tex]57 = 100.2 - 10.8t[/tex]
[tex]10.8t = 43.2[/tex]
[tex]t = \frac{43.2}{10.8}[/tex]
[tex]t = 4[/tex]
It will take 4 minutes for the balloon to reach an altitude of 57 yards.
Sounds off topic but I'm feeling sad today, my teacher gave me a project and springboard for homework and I'm crying rn because of how much stress and pressure for me none of my family help me because they don't understand English I wish for positive things love you all <3
Answer:
man i get that- but just try and keep your head up!! you got this!!
Step-by-step explanation:
have cute picture of a cat!!
Things are only hard if you make them, so simply tackle it like the hulk in avengers: age of Ultron! Besides, with as bright of a head as you have on your shoulders, it should be a piece of cake! Also while doing the project, try listening to music. That way, it makes the time pass by and before you know it, your in the teachers room with that A+ project. Anyway, I wish you the best of luck and hope you have a wonderful day! :)
(You must show equality properties in work so I can earn full credit)
Solve the equation. Enter your answer in the box.
x=³√27
x = _____
Answer:
The cube root of 27 is 3
Please explain clearly assignment is due today! so quick
Answer:
No
Step-by-step explanation:
Use 2/5...
2 times 2 is 4
5 is greater than four
but 4/5 and 2/5 cannot be replaced with 0
Hence this claim is busted
i hope this helps!
what type of angle is this
Answer:
Straight
Step-by-step explanation:
If the angle is flat or 180 degrees, it is straight
If the angle is like an L or 90 degrees, it is right
If the angle is less than 90 degrees, it is acute
If the angle is more than 90 degrees, it is obtuse
Hope this helps!!
Answer:
IT is a straight angle because it is 180 degrees
Step-by-step explanation:
The volume of the box is 448 ft'. Find its length and width.
4 ft
X-6
X
The box has a length of
ft and a width of
ft.
What is length and width
Answer:
hi
Step-by-step explanation:
Find an answer to your question The volume of the box is 448 ft'. Find its length and width. 4 ft X-6 X The box has a length of ft and a width of ft.
hope this helps
pleaseeee help ill give brainliest answer if u dont know dont responddd
Answer:
864 square inches
Step-by-step explanation:
Surface Area = 12 x 12 x 6
Surface Area = 144 x 6 = 864
Hope that helps!
Answer:
864
Step-by-step explanation:
12*12 =144 (the surface of one side
144*6 =864 (the surface of all sides)
Please Help! :)
y = x times what
Answer:
Step-by-step explanation:
-8/32 = -1/4
The equation is : y = -1/4 x
Now they say, x = 28 so substitute x as 28 and solve
for when y = -5, substitute -5 as y and solve
Do this for all
please help will mark as brainiest
what is the value of the expression below when c=5 and d=4?
6c² -5d + 8
A 48
B 79
C 138
D 888
Step-by-step explanation:
Goal
Evaluate the expression.Given
Expression6c²-5d+8
Conditionc = 5 and d = 4
Step 1
Substitute c = 5 and d = 4 in the expression.6(5)²-5(4)+8
6(25)-20+8
Step 2
Evaluate the expression.150-20+8
150-12
138
Hence, the solution is 138.
Answer:
138 is answer please give brainliest
please help asap!!!!!!
Answer:
one point will be on (3,2) another on (5,3) and 1 more on (6,6)
Step-by-step explanation: not sure if this is 100% correct or not
