Answer:
a. The 95% confidence interval is 1,022.94559 < μ < 1,003.0544
b. There is significant evidence that Florida students perform differently (higher mean) differently than other students in the United States
c. i. The 95% confidence interval for the change in average test score is; -18.955390 < μ₁ - μ₂ < 6.955390
ii. There are no statistical significant evidence that the prep course helped
d. i. The 95% confidence interval for the change in average test scores is 3.47467 < μ₁ - μ₂ < 14.52533
ii. There is statistically significant evidence that students will perform better on their second attempt after the prep course
iii. An experiment that would quantify the two effects is comparing the result of the confidence interval C.I. of the difference of the means when the student had a prep course and when the students had test taking experience
Step-by-step explanation:
The mean of the standardized test = 1,000
The number of students test to which the test is administered = 453 students
The mean score of the sample of students, [tex]\bar{x}[/tex] = 1013
The standard deviation of the sample, s = 108
a. The 95% confidence interval is given as follows;
[tex]CI=\bar{x}\pm z\dfrac{s}{\sqrt{n}}[/tex]
At 95% confidence level, z = 1.96, therefore, we have;
[tex]CI=1013\pm 1.96 \times \dfrac{108}{\sqrt{453}}[/tex]
Therefore, we have;
1,022.94559 < μ < 1,003.0544
b. From the 95% confidence interval of the mean, there is significant evidence that Florida students perform differently (higher mean) differently than other students in the United States
c. The parameters of the students taking the test are;
The number of students, n = 503
The number of hours preparation the students are given, t = 3 hours
The average test score of the student, [tex]\bar{x}[/tex] = 1019
The number of test scores of the student, s = 95
At 95% confidence level, z = 1.96, therefore, we have;
The confidence interval, C.I., for the difference in mean is given as follows;
[tex]C.I. = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm z_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]
Therefore, we have;
[tex]C.I. = \left (1013- 1019 \right )\pm 1.96 \times \sqrt{\dfrac{108^{2}}{453}+\dfrac{95^{2}}{503}}[/tex]
Which gives;
-18.955390 < μ₁ - μ₂ < 6.955390
ii. Given that one of the limit is negative while the other is positive, there are no statistical significant evidence that the prep course helped
d. The given parameters are;
The number of students taking the test = The original 453 students
The average change in the test scores, [tex]\bar{x}_{1}- \bar{x}_{2}[/tex] = 9 points
The standard deviation of the change, Δs = 60 points
Therefore, we have;
C.I. = [tex]\bar{x}_{1}- \bar{x}_{2}[/tex] + 1.96 × Δs/√n
∴ C.I. = 9 ± 1.96 × 60/√(453)
i. The 95% confidence interval, C.I. = 3.47467 < μ₁ - μ₂ < 14.52533
ii. Given that both values, the minimum and the maximum limit are positive, therefore, there is no zero (0) within the confidence interval of the difference in of the means of the results therefore, there is statistically significant evidence that students will perform better on their second attempt after the prep course
iii. An experiment that would quantify the two effects is comparing the result of the confidence interval C.I. of the difference of the means when the student had a prep course and when the students had test taking experience
Which whole number is equivalent to 12/3 ?
Answer:
4
Step-by-step explanation:
12 divided by 3 is 4. It's that simple!
PLEASE HELP ITS GEOMETRY ILL GIVE BRAINLIEST
Pls help me pls i will mark brainliest
Answer:
The line cannot be extended to any point since we are trying to graph a zero that is equivalent to absolutely nothing
Step-by-step explanation:
choose as brainliest
The height y (in feet) of a ball thrown by a child is
Y=-1/12x^2+2x+3
where x is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand?
feet
(b) What is the maximum height of the ball?
feet
(c) How far from the child does the ball strike the ground?
feet
Answer:
Step-by-step explanation:
Reflection over y=1
Help please
Answer:
reflect over what axis y or x?
Given the following prices and unit conversions, rank the brands from lowest to highest unit price.
Brand A: $1.48 for 2.5 pounds
Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams
Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces
a.
Brand A, Brand B, Brand C
b.
Brand A, Brand C, Brand B
c.
Brand B, Brand A, Brand C
d.
Brand C, Brand A, Brand B
Answer:
d.
Brand C, Brand A, Brand B
Step-by-step explanation:
To find the unit price, we divide the price by the number of pounds.
Brand A: $1.48 for 2.5 pounds
Unit price of:
[tex]\frac{1.48}{2.5} = 0.592[/tex]
Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams
907.18/453.59 = 2 pounds
Unit price of:
[tex]\frac{1.3}{2} = 0.65[/tex]
Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces
50/16 = 3.125 pounds
Unit price of:
[tex]\frac{1.55}{3.125} = 0.496[/tex]
From lowest to highest unit price:
C, A and B, so option d.
Answer:
D
Step-by-step explanation:
Unit prices are ratios, so you can add the two prices together and divide by the smaller unit price to get a usable number.
Natalia can serve 120 volleyballs in 8 minutes and 330 volleyballs in 22 minutes. How many volleyballs can Natalia serve per minute if she is serving at a constant rate?
Answer:
15
Step-by-step explanation:
120+330=450
8+22=30
per minute->450÷30=15
The atmospheric pressure p on a balloon or an aircraft decreases with increasing height. This pressure, measured in milimeters of mercury, is related to the heighth (in kilometers) above sea level by the formula p = 760 -0.145
(a) Find the height of an aircraft if the atmospheric pressure is 246 millimeters of mercury
Answer:
[tex]h = 3544.83km[/tex]
Step-by-step explanation:
Given
[tex]P= 760 - 0.145h[/tex]
Required
Find h when P = 246
Substitute 246 for P
[tex]246= 760 - 0.145h[/tex]
Collect like terms
[tex]246- 760 = - 0.145h[/tex]
[tex]-514= - 0.145h[/tex]
Make h the subject
[tex]h = \frac{-514}{-0.145}[/tex]
[tex]h = 3544.83km[/tex]
Pls pls help me I will mark you brainest
y values: 3,4,5,6
x values: 5,10,15,20
Step-by-step explanation:
I used a graphing calculator but y is increasing by one and x increases by 5 each time
Answer:
See below.
Step-by-step explanation:
A's number is x. B's number is y.
x = 5y - 10
First row: What is x when y= 3?
x = 5y - 10 = 5*3 - 10 = 15 - 10 = 5; x = 5
Second row: What is x when y = 4?
x = 5y - 10 = 5*4 - 10 = 20 - 10 = 10; x = 10
Third row: What is y when x = 15?
x = 5y - 10
Add 10 both sides x + 10 = 5y - 10 +10
x + 10 = 5y
But we're told x = 15, so 15 + 10 = 5y
25 = 5y
Divide both sides by 5 25/5 = 5y/5
5 = y y = 5
Fourth row: What is x when y = 6?
x = 5y - 10 = 5*6 - 10 = 30 - 10 = 20; x = 20
Simplify the expression below! The picture is down below!
Answer:
Its C
Step-by-step explanation:
A necklace and earrings cost $144. Six necklaces and five pairs of earrings cost $825
Step-by-step explanation:
let necklace : x
let earrings : y
x+y=144 -1st eqn
6x+5y=825 -2nd eqn
y=144-X -3rd eqn
substitute eqn into 2nd eqn
6x+5(144-x)= 825
6x +720-5X =825 (expanded)
X = 825-720
X =105
substitute "X=105" into 1st eqn
(105)+y=144
y= 144-105
y=39
1 necklace = 105$
1 pair of earrings = 39$
(to check back: substitute the value into the original eqn)
Trey has plastic cubes stored in a box that measures 4 ft long,
,22
ft wide, and 2 ft tall.
The edge length of each plastic cube is
1
1
2
ft.
How many plastic cubes can fit into the box?
20 plastic cubes
45 plastic cubes
125 plastic cubes
160 plastic cubes
Answer:
160 Cubes :)
Step-by-step explanation:
a storage jug was 4/5 full of water when did get indicated 72 what was the full capacity of the storage jug
Answer:
90. ( was the full capacity of jug)
to solve this
firstly let the full capacity of jug
be. x
so,
4/5*x = 72
x = 72*5/4
x = 90
hope it helps
pls helpppppppphhhhhh16 5/⁴×2-³×-0
what is a formula for the nth term of the given sequence?
12,6,3...
Given:
The sequence is:
12, 6, 3, ...
To find:
The formula for the nth term of the given sequence.
Solution:
We have,
12, 6, 3, ...
Here, first term is 12.
Clearly, [tex]\dfrac{6}{12}=\dfrac{3}{6}[/tex]. Since the given sequence has a common ratio [tex]r=dfrac{1}{2}[/tex], therefore it is a geometric sequence.
The formula for the nth term of the given sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
[tex]a_n=12\left(\dfrac{1}{2}\right)^{n-1}[/tex]
Therefore, the formula for the nth term of the given sequence is [tex]a_n=12\left(\dfrac{1}{2}\right)^{n-1}[/tex].
Answer:
Step-by-step explanation:
You open an account at Bertha’s Banking Branch. You put $50 in the bank and your account earns $4 per week in interest. How many weeks will it take for the balance in your account to be $90?
Answer:
10
Step-by-step explanation:
50+4x=90
4x=90-50
4x=40
x=40/4
x=10
I don’t know I think u times both of them 40 and 36 then divide by 4 then times by 2 i don’t know
What is the question?
Find the area of the circle. Use 3.14 for .
20 yd
Answer:
314 yd²
Step-by-step explanation:
A = πr²
Use the formula.
A = π(10)²
Substitute. Use 10 for r.
A ≈ 3.14 × 10²
Substitute. Use 3.14 for π.
A ≈ 3.14 × 100 Evaluate the power.
A ≈ 314 Multiply.
The area of the circle is about 314 yd².
PLEASEEEE HELP ON ANY QUESTION
I WILL GIVE U THE REALLY GOOD REVIEW
Answer:
C. 3 to 18, 5 to 30 is equal
Step-by-step explanation:
There is 1/4 of a birthday cake left over. If 4 friends share it equally, what fraction of the cake will each friend receive? ( test please hurry!)
Answer:
The awnser is 1/16!!!!!!!!!!!!!
Find the value of x in the following figure
PLEASE HEEEEEELP,WILL GIVE BRAINLIEST
Also can you explain how you got your answer
Answer:
i think its 15,6,7,45
Answer:
Down Below :)
Step-by-step explanation:
15, 6, 7, 45
Multiply 5 by 1. You should get 5. Multiply/Divide. Top to Bottom is Multiplication, meanwhile Bottom to top is Division. Hope this helped!
What is the solution to this equation?
2x + x - 11 + 3 - 7x = 15
O -
A. x=-1
O B. - 13
O cx
O D. - 23
C. x=23
Answer:
Step-by-step explanation:
2x + x - 11 + 3 - 7x = 15
-4x = 23
x = -23/4
During tug of war, team A pulls to the East with 24N of force and team B pulls to the West with 32N of force. Which team will win and what is the net force?
Team B, 8N
Team B, 56N
Team A, 56N
Team A, 8N
Answer: Team B, 8N
Step-by-step explanation: I think it's team be because when doing the problem team a is 24 n to the right while Team B is 32 n to the left, and since they are pointing different directions you would subtract those and then get your answer. Since Team B has the larger force it will be the one to win.
What would measure a be?
Answer:
a = 40 degrees
Step-by-step explanation:
the inscribed angle of 200 degree arc is 100 degrees.
the sum of all the interior angles of a triangle is 180 degrees so:
angle a = 180 - 100 - 40 = 40 degrees
Two students are reading a novel. Ashley reads 10 pages per day. Carly reads 8 pages per day, but she starts
early and is already on page 40.
d=days
p=pages
Ashley: p=10d
Carly: p=8d+40
On day ____, both girls should be on page ____.
Answer:
On day 20, they should both be on page 200
Step-by-step explanation:
I set the 2 equations up:
10d=8d+40 and then subtracted 8d from both sides
2d=40 and then divided both sides by 2
d=20
I then took 20 and multiplied it by 10 for Ashley (200) and then multiplied it by 8 for Carly (160) and added 40 (200)
Hope this helps!
6
6
4
1 5
-8
If A = 7
-4
and B = | 9
-5 -8
find 3A + 9B.
Answer:
456yup 89i28993728128828282 6r3235
664r5790
what is the answer of this:
689 × 6156 ÷ 18% of 684 = 28 × 250 ÷ 8 + ? + 4300
A)27295
B)29275
C)29527
D)29725
E)None of these
Answer:
1606588.92
Step-by-step explanation:
2/4+3/2+1/4 I need help
Answer:
2 1/4 or 2.25
Step-by-step explanation:
2/4 = 1/2
3/2 = 6/4
1/2 + 3/2 + 1/4
2/4 + 6/4 + 1/4
add
2 + 6 + 1
= 9
so
9/4, = 2 1/4
Plz mark as brainliest if correct!!!
Which expression is equivalent to sec^2x
The trig function sec^2 x can also be expressed as 1 - csc^2 x. Both mean the same thing.