Answer:
u=11
Step-by-step explanation:
3u - 10 = 20
3u-10+10=20+10 |+10
3u=33 |÷3
3/3*u=33/3
1*u=11
u=11
An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores?
Let d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course)d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course). Use a significance level of α=0.1 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course.
Student 1 2 3 4 5 6 7
Score on first SAT 500 380 560 430 450 360 560
Score on second SAT 540 470 580 450 480 400 600
Required:
a. State the null and alternative hypotheses for the test.
b. Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.
c. Compute the value of the test statistic. Round your answer to three decimal places.
d. Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to three decimal places.
e. Make the decision for the hypothesis test.
Answer:
Since the calculated value of t = -0.215 falls in the critical region so we accept Ha that SAT prep course improves the students' verbal SAT scores and reject the null hypothesis at significance level 0.05.
e. These results support the claim that the SAT prep course improves the students' verbal SAT scores.
Step-by-step explanation:
Student 1 2 3 4 5 6 7
Score on first SAT 500 380 560 430 450 360 560
Score on second SAT 540 470 580 450 480 400 600
Difference d -40 -90 -20 -20 -30 -40 -40 ∑ -280
d² 1600 8100 400 400 900 1600 1600 ∑14600
a. Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
The degrees of freedom = n-1= 7-1= 6
The significance level is 0.05
The test statistic is
t= d`/sd/√n
The critical region is ║t║≤ t (0.025,6) = ±2.447
d`= ∑di/n= -280/7= -4
Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]
= 1/6[14600-(-4)²/7] = [14600-2.2857/6]= 2432.952
b. Sd= 49.3249= 49.325
Therefore
c. t= d`/ sd/√n
t= -4/ 49.325/√7
t= -4/18.6435 = -0.2145= -0.215
d. Since the calculated value of t = -0.215 falls in the critical region so we accept Ha that SAT prep course improves the students' verbal SAT scores and reject the null hypothesis at significance level 0.05
e. These results support the claim that the SAT prep course improves the students' verbal SAT scores.
plx help i need to get this so I can be ungrounded
Answer:
2
Step-by-step explanation:
There are 230 students in the six grade and 1/5 of them have green eyes how many six graders have green eyes
Answer:
46 of the sixth graders have green eyes.
Step-by-step explanation:
This question is asking what number of the 230 sixth graders have green eyes.
We know that one out of every five of them, or 20%, have green eyes.
1/5 = 0.2
If we multiply 0.2 by the total number of sixth graders, that leaves us with 46, meaning that 46/230 sixth graders have green eyes.
I hope this helps!
418/36 as a mixed number
HELP PLEASE
Answer:
11 11/18
Step-by-step explanation: a quick search
6) Which of the following angles is coterminal with -495 degrees?
45 degrees
135 degrees
225 degrees
315 degrees
Answer:
225 degrees
Step-by-step explanation:
-495 +360 until you get to one of the answers.
A system of equations is shown on the graph below How many solutions does this system have?
no solutions
one unique solution
two solutions
an infinite number of solutions
Answer:
There is only one solution.
Step-by-step explanation:
The two lines only cross once, so there is one solution.
If the lines did not cross at all, there would be no solutions.
If the lines crossed twice, then there would be two solutions.
If the lines were on top of one another, they would be the same line, and have an infinite amount of solutions.
A system of equations is shown on the graph below has Unique solution.
What is Line segment?
A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.
Given that;
The graph is shown in figure.
Now,
Since, In the graph the two line segment cut into one point.
Hence, The system of equation shown in graph has Unique solution.
Thus, A system of equations is shown on the graph below has Unique solution.
Learn more about the system of equation visit:
https://brainly.com/question/12526075
#SPJ6
Which of the following is a factor of x^4 - 5x^3 + 3x^2 + 15x - 2
A. 2x+3
B. x-3
C. 3x+1
D. Not factorable
Answer:
D. Not factorable
Step-by-step explanation:
HELP ME PLLLEEASSEE!!
Answer:
C
Step-by-step explanation:
bc i’m right
The body of a dump truck is raised to empty a load of dirt. How high is the 10 inch body from the frame when it is tipped upward at 45 degrees
Answer:
7.071inches
Step-by-step explanation:
The set up is a right angled triangle
Given 'angle of elevation = 45 degrees
The length of the frame = 10in (hypotenuse)
Required
Height of the truck h (opposite)
Using the SOH trig identity
sin theta = opposite/hyp
sin 45 = h/10
h = 10sin45
h = 10(0.7071)
h = 7.071 in
Hence the height of the truck is 7.071inches
The circle graph shows the preferences of town residents for the new playground equipment in a park
If 240 residents responded to the survey, how many residents preferred each type of playground equipment
Swings:
residents
Sandbox: residents
Obstacle course: residents
Answer:
swings: 120 (50%)
obstacle course: 80 (1/3)
sandbox: 40
Step-by-step explanation:
we know by looking, that swings makes up 50%, so we divide 240 by 2 to get 120
the obstacle course makes up one-third, 1/3 of 240 is 80
add 120+80 to get 200
to find the sandbox amount, do 240 minus 200 and we get 40
The circle graph is used to show how variables measure against one another using a circle of different sectors.
There are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings
The number of residents is given as:
[tex]n = 240[/tex]
From the given circle graph, we have the following proportions
[tex]Sandbox = 1/6n[/tex]
[tex]Obstacle = 1/3n[/tex]
[tex]Swings= 1/2n[/tex]
So, the number of residents in each equipment is:
[tex]Sandbox = \frac 16 \times 240[/tex]
[tex]Sandbox = 40[/tex]
[tex]Obstacle = \frac 13 \times 240[/tex]
[tex]Obstacle = 80[/tex]
[tex]Swings =\frac 12 \times 240[/tex]
[tex]Swings =120[/tex]
Hence, there are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings
Read more about circle graphs at:
https://brainly.com/question/796269
How many groups of 3/4 are in each of the following quantities?
Type your response in each box below.
1. 11/4 has __
groups of 3/4.
2. 6 1/2 has ___
groups of 3/4.
Answer:
vb\
Step-by-step explanation:
3d - 5+4d +5=140 how do i solve this i need help
Answer:
3
−
5
+
4
+
5
=
1
4
0
3d{\color{#c92786}{-5}}+4d+{\color{#c92786}{5}}=140
3d−5+4d+5=140
3
+
4
=
1
4
0
3d+4d=140
3d+4d=140
2
Combine like terms
3
+
4
=
1
4
0
{\color{#c92786}{3d}}+{\color{#c92786}{4d}}=140
3d+4d=140
7
=
1
4
0
{\color{#c92786}{7d}}=140
7d=140
3
Divide both sides of the equation by the same term
7
=
1
4
0
7d=140
7d=140
7
7
=
1
4
0
7
\frac{7d}{{\color{#c92786}{7}}}=\frac{140}{{\color{#c92786}{7}}}
77d=7140
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
2
0
d=20
d=20
Solution
=
2
0
hope it help
Step-by-step explanation:
Answer:
the answer is 20
Step-by-step explanation: combine like terms
7d = 140
then divide
140/7
20
(1/2(7x3))^3= plz help
Answer:
1/2 X 7 X 3 X 3 = 31.5
Step-by-step explanation:
can anyone help please...........????
Answer:
112 Degrees
Step-by-step explanation:
The other angle is inverse making X also 112 Degrees
The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds will it take the Math clubs car to make it around the track
Answer: it will take 7 seconds
Step-by-step explanation: 9 x 7 = 63
A giant tortoise moves at a slow but steady pace. It takes
the giant tortoise 3 seconds to travel 10.5 inches.
How many inches will the tortoise travel in 1 second?
Which Figure has a line sysmmetry F,H,J,L,R
Answer:
njnjfsdnjfe
Step-by-step explanation:
Answer:
we cant see
Step-by-step explanation:
a man goes 10m due east and 24m due north find the distance from the starting(pls help )
Answer:
26m
Step-by-step explanation:
10^2+24^2=26^2
Write an explicit formula for the sequence -13,-6,1,8, ...
A. an= -13n+7
B. an= -13+(n+7)
C. an= -13+7(n-1)
D. an= -13n+7
Answer:
7n-20 I believe
Step-by-step explanation:
hope this helps
Answer: A
lol need extra characters
i took the test btw
The ratio using a colon is
a ratio?
What numbers a provided
Substitute x=-2y into the expression 6x-7 and simplify
Answer:-12y -7
Step-by-step explanation: I think
Answer:
-12y - 7
Step-by-step explanation:
x = -2y
6x - 7 or 6(-2y) - 7
-12y - 7
I NEED HELP THIS IS DUE IN THIRTY MINUTES
convert decimals to fractions
1.167
2.4
1.75
Answer:
1167/1000
24/10
175/100
Step-by-step explanation:
1.167
we consider the point is equal to 1. After that point, all numbers, we consider as zero.
so, the answer would become:
1167/1000
At the end of school, Josh's teacher handed out 27 coupons for bowling during the summer to each student. The third week of
summer, he accidentally threw away 15 of them when he cleaned his room. The last week of summer, he decided to use the
remaining coupons evenly over 3 days.
If he did not use any of the coupons until the last week of summer, how many coupons did he use on each of the 3 days?
The answer would be 4 Coupons
Y=5+2x fill in the table using this function rule
Step-by-step explanation:
hope it helps you..........
HELP PLS! ILL MARK BRAINLIEST!
Sean drink a slushy as fast as he could. The amount of Slushii left in a cup (in milliliters) as a function of time (in seconds) is graphed. How fast did Sean drink the slushy?
A. 8 mL per second
B. 0.8 mL per second
C. 1 mL per second
D. 10 mL per second
What is 1/4 times 24.80
Answer:
6.2 is the answer you are looking for
Find the quotient: 8,358 ÷ 27 = ________.
309 r 15
309 r 26
310 r 15
310 r 26
Answer:
the answer is 309 r 15
Step-by-step explanation:
309 × 27 is 8343 and your left with 15
round 427963 to the nearest thousand
Answer:
428,000
Step-by-step explanation:
427,963
If the number behind what number you're trying to round is greater than 4 then the number you're rounding goes up once while everything behind it goes to zero. If it's below 5 than the it well stay the same. Ex. Round nearest tenth--> 14--->10 instead of it going up to 20 it stays 10.
427,963
^
This number is higher than 4 so the number in front or the thousand mark goes up a number.
428,000
Someone else already answered so I figured I'll tell you how to round it, hope this helps.
Can someone please help
Answer:20 minutes
Step-by-step explanation:
Answer all questions and the topic is about ordering decimals and don't answer if u do not know.
Answer:
31. 0.93, 0.9, 0.33
27. 6.13, 6.14, 6.31
28. 3.09, 3.19, 3.9
29. 12.96, 12.83, 12.8
25. 9.06, 9.6, 9.66
26. 0.09, 0.67, 0.86
Step-by-step exp