In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students
at random who have already taken the exam. The students are enrolled in a six-week prep course to improve their
scores. After the prep course, the students take the college-entrance exam again. The mean difference (first-
second) in exam scores is -1.75 points with a standard deviation of 7.12 points. Assuming the conditions for
inference are met, what is the test statistic for testing the hypotheses Hoi Hoi = 0; He Moip <0?
O 1-1.75 -0
7.12
35
o
0+ 1.75
7.12
35
-1.75 -0
7.12
35
=
1.75 -0
7.12
35
Nex
Submit
Mark this and return
Answers
Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:
[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]
What are the hypotheses tested?At the null hypotheses, it i tested if the mean difference remains the same, that is:
[tex]H_0: \mu = 0[/tex]
At the alternative hypotheses, it is tested if it has decreased, hence:
[tex]H_a: \mu < 0[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The parameters are given as follows:
[tex]\overline{x} = -1.75, s = 7.12, n = 35[/tex].
Hence the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]
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Related Questions
Put the functions, with their corresponding intervals, in order from least to greatest according to their average rates of change over those intervals.
Answers
Answer
Step-by-step explanation:
easy
A cylinder has a height of 18 feet and a radius of 19 feet. What is its volume? Use ≈ 3.14
and round your answer to the nearest hundredth.
Answers
Answer:
20403.72Step-by-step explanation:
Height = h = 18 m
Radius = r = 19 m
Volume of cylinder:
[tex]=\pi r^2h[/tex]
[tex]=(3.14)(19)^2(18)[/tex]
[tex]=(3.14)(361)(18)[/tex]
[tex]=20403.72[/tex] [tex]m^3[/tex]
_____________________Question 6(Multiple Choice Worth 5 points) (06.03 LC) What happened to Gautama after he sat under a fig tree and meditated for several weeks? He discovered ahimsa. He became a vegetarian. He founded Jainism. He was enlightened.
Answers
Answer: B
Step-by-step explanation: hope this helps
Answer:
He was enlightened
Step-by-step explanation:
There was a list of things he did to become Buddha
Lives like a prince
Is depressed by the suffering he sees outside the palace
Is impressed by how contented a holy man is
Decides to give up a life of pleasures and comforts
Wanders across India looking for the end of suffering
Sits down under a tree and meditates for several weeks
Gains enlightenment
QUICK PLEEEASEEEEEEEEE
Answers
Answer:
c) 2
Step-by-step explanation:
By definition The mode is the most repeated number in the data-set.
The graph of a sinusoidal function intersects its midline at (0, 1) and then has a maximum point at
Write the formula of the function, where is entered in radians.
f(x) =
Answers
Answer:
f(x) = 4·sin(2/7x) +1
Step-by-step explanation:
The sinusoidal function y = a·sin(kx) +b will have cross its midline at (0, b), and a peak value of (x, y) = (π/(2k), a+b). We can use these facts to find the values of a, k, and b for the sinusoidal function.
__
midline(0, b) = (0, 1) ⇒ b = 1
peak value(7π/4, 5) = (π/(2k), a+1)
This gives rise to two equations:
7π/4 = π/(2k)
k = π/(2(7π/4)) = 2/7
and
a+1 = 5
a = 4
equationUsing the found values for the parameters of the function, we have ...
f(x) = 4·sin(2/7x) +1
A $52.50 screen door is on
sale for $42. Find the percent
of discount on the door.
Answers
Answer:
20%
Step-by-step explanation:
Given/To Find:
A $52.50 screen door is on
sale for $42. Find the percent
of discount on the door.
Solve:
Formula: Value 1 - Value 2 ÷ Original Value × 100
Hence we have:
52.50 - 42 = 10.5
10.5 ÷ 52.50 = 0.20
0.20 × 100
=20%
Check Answer:
52.50 × 20% = 10.5
52.50 - 10.5 = 42
Hence, the percent of discount on the door is 20%
Kavinsky
In the following table of values, what would be the value of "b" in ax² + bx + c
-2 7
-1 10
0 15
1 22
2 31
Answers
Using a system of equations, it is found that the value of b in the function would be of 6.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, considering that when x = 0, y = 15, we have that c = 15.
Then, when x = -1, y = 10, hence:
a - b + 15 = 10.
a - b = -5.
a = b - 5.
When x = 1, y = 22, hence:
a + b + 15 = 22.
a + b = 7.
Since a = b - 5:
b - 5 + b = 7.
2b = 12.
b = 6.
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Answer:
B) 6
Step-by-step explanation:
I took the exam for alg 2
A gallon of milk cost 3.79. because of inflation, the price increases by 5% per year . write an equation that models the growth in the price of milk
Answers
Write an algebraic equation for the following.
A number raised to the fifth power is four less than ten times the number.
A. 5x = 10x - 4
B. x³ =4-10x
C. 5x4-10x
D. x³ = 10x-4
Answers
Answer:
a
Step-by-step explanation:
raise to five
less than
ten times
Emmet set up a bubble station for his little sister's birthday party. He filled a bubble machine and a bottle for kids to blow their own bubbles. In the bubble machine, Emmet mixed 12 ounces of dish soap and 24 ounces of water. In the bottle, he mixed 5 ounces of dish soap and 9 ounces of water. Which container had the greater ratio of dish soap to water?
Answers
Answer:
It's 5912
Step-by-step explanation:
It's 5912 cause 5912 is the answer.
Kofi is 8years old and his mother is 42. In how many years will his mother's age be 3 times more than kofi's age?
Answers
Answer:
After 9 years mother's age will be 3 times more than kofi's age .
Step-by-step explanation:
Given
Age of Kofi = 8 years
Age of Mother = 42 years
According to question , 3 times more than kofi's age .
=> ( 8+ x ) 3 = 42 + x
=> 24 + 3x = 42 + x
=> 3x - x = 42 - 24
=> 2x = 18
=> x = 18/2
=> 9
After 9 years ,
Age of Kofi = 8 + 9 = 17 years Age of Mother = 42 + 9 = 51 yearsSimplify the expression. Write your answer as a power.
(xy)⁷
The simplified expression is
Answers
Answer:
x⁷y⁷
Step-by-step explanation:
An exponent signifies the base is a repeated factor in the product. The exponent is the number of times it is a factor.
__
The term (xy)^7 means (xy) is a factor 7 times:
= (xy)·(xy)·(xy)·(xy)·(xy)·(xy)·(xy)
The commutative and associative properties of multiplication let us rearrange this to ...
= (x·x·x·x·x·x·x)·(y·y·y·y·y·y·y)
= (x^7)(y^7)
The expression can be simplified to ...
[tex](xy)^7 =\boxed{x^7y^7}[/tex]
_____
The rule of exponents is ...
(ab)^c = (a^c)(b^c)
Answer the one you would like thank you.
Answers
Answer: 1.9
Step-by-step explanation:
Question 11
9.88 rounds to 10
5.2 rounds to 5
10/5 = 2
please help!! i’ll give brainliest
Solve for x.
x = [?]
Answers
Answer:
3x +18+4x+15=180
7x+33=180
7x=180-33
7x=147
7x÷7=147÷7
x=21
Answer:
[tex]\boxed{\bf x = {21}^{o} }[/tex]
Step-by-step explanation:
We know that the sum of angles of a linear pair is always equal to 180°, they are also known as supplementary angles.
[tex]\sf 3x + 18 + 4x + 15 = {180}^{o} [/tex][tex]\sf 7x = 180 - 18 - 15[/tex][tex]\sf 7x = 147[/tex][tex]\sf \cfrac{ 7x}{7} = \cfrac{147}{7} [/tex][tex]\sf x = {21}^{o} [/tex]«•••••••••••••••«»•••••••••••••••»
y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 1/8
Answers
The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = [tex]-\frac{1}{8}[/tex] x².
What is Equation of parabola?
The general equation of a parabola is: y = a(x-h²2 + k or x = a(y-k)² +h, where (h,k) denotes the vertex.
The standard equation of a regular parabola is y² = 4ax.
The given equation is of parabola : y= x²
Now, we have to reflect across the x- axis and then scaled vertically by a factor 1/8.
When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.
Then, the new equation of parabola be:
y = [tex]-\frac{1}{8}[/tex] x²
Hence, The parabola y=x² is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = [tex]-\frac{1}{8}[/tex] x².
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Use the compass and ruler to inscribe a circle in the triangle.
Answers
Bisect each angle of the triangle using a compass then where the lines the have been bisected meet up, from there, put the the compass and then your pencil tip on the perimeter of the triangle and draw a circle
if the diameter of a cone is 16cm and the height is 15cm what is the volume? I've tried the formula v=1/3*3.14*r^2*h but the answer wasn't on the choice pick even when I divided the diameter by 2 to get the radius which is 6. and I've tried leg^2 +leg^2=hypotenuse, but I probably did it wrong. If you find the answer could you show how you found it? I'll put u as the brainiest.
Answers
Answer:
V= volume of cone A=Ah A= πr2
A= area of base 3
H= height
V= (3.1416)(16)(15) 3.1416x16x15= 753.9
3
V= 753.9 753.9÷3= 251.3 cu. in
3
Volume of the cone is 251.3 cu. in
I hope this helps you. Good luck!
344/299 = x
what is x?
Answers
Answer:
Mixed Number Form: x = 1 45/299
Decimal Form: x = 1.15050167…
Step-by-step explanation:
Simplify each monomial rational expression 20x^2 divided by 10x^2
Answers
Answer:
2x to the 4th power
Step-by-step explanation:
Hope this helps
find the circumference and the area of a circle with 6m.
write your answer in terms of π, and be sure to include the correct units in your answer
Answers
Answer:
C = [tex]12\pi m[/tex]
A = [tex]36\pi m^2[/tex]
Step-by-step explanation:
I'm going to assume that the radius is 6m. The circumference of a circle is [tex]C = 2r\pi[/tex]. So we can plug in 6 for r and we get the circumference is [tex]12\pi m[/tex].
For area, the equation is [tex]A = \pi r^{2}[/tex]. So we can again plug in 6 for r and we get that the area is [tex]36\pi m^2[/tex].
If 6m is the diameter, then the circumference is [tex]6\pi m[/tex] and the area is [tex]9\pi m^2[/tex].
Find the volume of a cone with a base diameter of 9 in and a height of 7 in.
Answers
Step-by-step explanation:
Formula:
[tex]v = \pi \:r {}^{2} \:h[/tex]
radius is 4.5 because 9÷2=4.5
so it would be
[tex]v = \pi \times \:4.5^{2} \times 7[/tex]
volume = 445.3 units³
What is the intensity of a 70-db sound? the threshold of human hearing is 1.0 × 10 -12 w/m 2.
Answers
According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.
How to determine the intensity of a 70-dB sound
The sound intensity (L), in decibels, is the intensity of a sound relative to a reference value, whose formula is described below:
L = 10 · ㏒ (I/I')
Where:
I - Intensity, in watts per cubic meter.I' - Sound intensity reference, in watts per cubic meter.If we know that L = 70 dB and I' = 1 × 10⁻¹² W/m², then the sound intensity is:
70 = 10 · ㏒ (I/10⁻¹²)
10⁷ = l/10⁻¹²
I = 10⁻⁵ W/m²
According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.
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Plot the quadrilateral abcd under a reflection across the y axis
Answers
Answer:
the answer is down below
Step-by-step explanation:
Please help with this question I really need help!
Answers
Answer:
-6, -6
Step-by-step explanation:
Given :
y = x² + 12x + 36Solving :
This is of the form : a² + 2ab + b²Hence, the factored form is y = (x + 6)²y = (x + 6)(x + 6)x + 6 = 0 ⇒ x = -6x + 6 = 0 ⇒ x = -6The zeros are : -6, -6
help giving branliest
Answers
Answer:
a
34
b
17
c
46
Step-by-step explanation:
a
Lowest age = 21
Highest age = 55
Range = 34
b
Add them all together and you get 17
c
Median is middle
17 total people
Formula for median:
(n + 1)/2 = th
n is the total
17 + 1 is 18
18 halved is the 9th number
The 9th number is 46
At the beginning of every gym class, Mr. Gordon leads the class in a warm-up. In today's warm-up, the class does jumping jacks for 3 minutes. Erin does 54 jumping jacks in that time. Mr. Gordon says the class will do jumping jacks for 4 minutes tomorrow.
If Erin does jumping jacks at the same rate tomorrow, how many will she do?
Answers
Answer:
72 jumping jacks
Step-by-step explanation:
54 divided by 3 to get per minute and you would get 18 per minute then add to 54 for when she does for 4 minutes
Answer:
72 jumping jacks
Step-by-step explanation:
Mr. Robinson sets 36 glasses on
a table. He puts the same number
of glasses in each of 9 rows. How
many glasses does he put in
each row?
Answers
We are given that
He puts 36 glasses on a table
And puts same number in 9 rows
So we need to know how many glasses are kept.
Leg number of glasses kept be A
=> 9 x A = 36
=> A = 36/9
=> A = 4
Hence he puts 4 glasses in each row
Hope this helps your dear :)
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answers
Answer:
x-intercept: (4, 0), (-5, 0)
y-intercept: (0, -20)
Explanation:
x² + x - 20x² + 5x -4x -20x(x+ 5) -4(x +5)(x-4)(x + 5)Their x-intercept: (at x intercept, y will be 0)
(x-4)(x + 5) = 0x = 4, x = -5Their y intercept: (at y intercept, x will be 0)
y = (x-4)(x + 5)y = (0-4)(0 + 5)y = -20Answer:
x-intercepts : (4, 0) and (-5, 0)y-intercept : (0, -20)Step-by-step explanation:
Finding x-intercept(s)
The x-intercept's y-coordinate will be 0⇒ 0 = (x - 4)(x + 5)⇒ x = 4 and x = -5The x-intercepts are : (4, 0) and (-5, 0)Finding y-intercept
The y-intercept's x-coordinate will be 0⇒ y = 0² + 0 - 20⇒ y = -20The y-intercept will be (0, -20)The art teacher, ms. garcia, gave each student half a sheet of paper. then she asked the students to color one fourth of their sheets of paper. what part of the original sheet did the students color?
Answers
The students will colour the 1/8th part of the sheet given to them by their teacher.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given that:-
The art teacher, ms. garcia gave each student half a sheet of paper. then she asked the students to colour one-fourth of their sheets of paperNow the sheet student have = 1 / 2
Students will colour 1/4th of the sheet they have = ( 1/2 x 1/4 )
= 1 / 8
Therefore the students will colour the 1/8th part of the sheet given to them by their teacher.
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find the mid point of the line segment.
Answers
can you upload a less blury picture
Answer:
(-3/2, 0)
Step-by-step explanation:
The midpoint of a line segment is the average of the end point coordinates.
M = (A +B)/2
__
For end points A(-5, 5) and B(2, -5), the midpoint is ...
((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2 = (-3/2, 0)
The midpoint of the segment is (-3/2, 0).
