Answer:
H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.
Step-by-step explanation:
Part a:
The null and alternate hypothesis can be formulated as
H0 : u1 ≤ u2 the two means ( of students whose parents did or did not attain a higher level of education) are equal .
against the claim
Ha: u1 > u2 the students show a higher population mean math score on the SAT if their parents attained a higher level of education.
Part b:
The point estimate of the difference between the means for the two populations is the difference of sample means
x1`- x2`
525- 487= 38
Student’s Parents
College Grads
x x²
485 487 235,225 237,169
534 533 285,156 284,089
650 526 422,500 267,676
554 410 306,916 168,100
550 515 302,500 265,225
572 578 327,184 334,084
497 448 247,009 200,704
592 469 350,464 219,961
∑xi = 8400 ∑xi ²= 4,462,962
x1`= ∑ xi/n1= 8400/16= 525
Using statistic calculator Using formula : σ(n-1)
s1= 59.4205
High School Grads
x x²
442 492 195,364 242,064
580 478 336,400 228,484
479 425 229,441 180,625
486 485 236,196 235,225
528 390 278,784 152,100
524 535 274,576 286,225
∑xi = 5844 ∑xi ²= 2,875,484
x2`= ∑ xi/n2= 5844/12= 487
Using statistic calculator Using formula : σ(n-1)
s2= 51.7476
x1`- x2`= 525- 487= 38
The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 38/ √(59.4205)²/16 + (51.7476)²/12
t=38 / √3530.7958/16 + 2677.8141/12
t= 1.804
and the degrees of freedom is
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [3530.7958/16 + (2677.8141/12) ]²/ (3530.7958/16)²/15 +(2677.8141/12)²/11
≈ 25
The degrees of freedom is always rounded in this calculation
From the table t∝ = 1.708
Hence critical value is t ≥ t∝
Reject H0:
Part C.
The p-value is 0.041647.
The result is less than 0.05.
Result:
H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.
A rectangular prism has a
surface area of 287.4 cm'. The width is 9 cm, and
height 1.5 cm. Determine the length,
Answer:
12.4 cm
Step-by-step explanation:
Answer:
21.2888888889. it is wrong
Step-by-step explanation:
Given that 9x – 8y = 16
Find x when y = -8
Give your answer as an improper fraction in its simplest form.
Answer:
x=-16/3
Step-by-step explanation:
9x-8(-8)=16
9x+64=16
9x=-48
x=-48/9
x=-16/3
Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
Answer:
a. 0.4
b. 0.6
c. 0.6493
Step-by-step explanation:
p(checking work email) = p(A) = 0.40
p(staying connected with cell phone) = p(B) = 0.30
p(having laptop) = p(c) = 0.35
p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16
p(neither A,B or C) = p(AuBuC)
= 1-42.8%
= 0.572
p(A|C) = 88% = 0.88
p(C|B) = 70% = 0.7
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
p(B|A) = p(AnB)/p(A)
= 0.16/0.4
= 0.4
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
p(B|C) = P(C|B)p(B)/p(C)
= 0.7x0.3/0.35
= 0.6
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
p(A|BnC)
= P(BnAnC)/p(AnC)
= p(AnC) = p(A|C).p(C)
= 0.88x0.35
= 0.308
p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)
p(BnC) = 0.7x0.3
= 0.21
p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21
= 0.2
p(A|BnC) = 0.2/0.308
= 0.6493
Answer:
which ever one you want its an opinion answer.
Step-by-step explanation:
King raised $28, which is 35% of their goal.
What is the band's goal?
Answer:
(1 - .35) x $28 = $18.20
A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time
Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
300
T(W) =
530-W
At what value of w does the graph have a vertical asymptote ? Explain what this asymptote means in this situation.
Answer:
Step-by-step explanation:
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours
What is an approximation?An approximation is anything that is similar to but not identical to something else. Rounding can be used to approximate a number.
Given that a plane is going to fly 300 miles at a planned speed of 530 mph. The equation is T(W) = ( 300 ) / ( 530 -W).
The value of approximation will be calculated as
T(W) = ( 300 ) / ( 530 -W).
T(110) = ( 300 ) / ( 530 - 110)
T(110) = (300 ) / ( 420)
T(110) = 0.714
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours.
To know more about an approximation follow
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the line for the equation y = 1 horizontal or vertical? What is the slope of this line?
Answer:
The line is horizontal and the slope is 0.
Step-by-step explanation:
Any line that is horizontal has a slope of 0.
Find the value of y when
2x. + 6y = 1
Fast please!!!???
Old MacDonald had a farm. On this farm he had some cows and chickens. When he “took stock” (counted), the farmer had 15 animals and 44 legs. How many cows and chickens did Old MacDonald have? PLS ANSWER
Answer:22
Step-by-step explanation:
Answer:
Step-by-step explanation:
let x be chickens and y be cows
x+y=15
x=15-y
2x+4y=44, using x=15-y
2(15-y)+4y=44
30-2y+4y=44
2y+30=44
2y=14
y=7, since x=15-y
x=8
So there are 8 chickens and 7 cows.
PLEASE HELP
If x = 3x + 4 - 1 , then what does -x equal?
Answer:
-4/5 = x
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
x = 3x + 4 - 1
we can subtract 1 from 4
x = 3x + 3
subtract 3x from both sides
-2x = 3
divide both sides by -2
x = -3/2
so -x would equal -(-3/2) = 3/2
Help me find the volume of the composite figure
Answer:
[tex]V = 97.911in^3[/tex]
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
[tex]V_1 = l^3[/tex]
Where
l = side length = 5.1
[tex]V_1 = 5.1^3[/tex]
[tex]V_1 = 132.651[/tex]
Next, calculate the volume of the cone using:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
Where
h = 5.1
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 5.1[/tex]
[tex]r = 2.55[/tex]
So, we have:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]
[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]
[tex]V_2 = \frac{729.5805}{21}[/tex]
[tex]V_2 = 34.74[/tex]
The volume of the figure is:
[tex]V=V_1 - V_2[/tex]
[tex]V_1 = 132.651[/tex]
[tex]V = 132.651 - 34.74[/tex]
[tex]V = 97.911in^3[/tex]
Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?
Answer:
(2.5,3.5)
Step-by-step explanation:
Omni calculator
Answer:
(2.5, 3.5)
Step-by-step explanation:
Christine is selling tickets at a museum. She knows that she has sold at least 40 tickets. The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars. If she knows she has sold no more than $720 worth
of tickets, what are the possible combinations?
Answer:
Adult tickets cost $80, children ticket cost $40
Step-by-step explanation:
Given data
let the number of adults be x
and the number of children be y
so
x+y= 40-------------1
The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars.
14x+ 12y= 720-------2
solve 1 and 2
x+y= 40
14x+ 12y= 720
from 1
x= 40-y
put this in 2 in place of x
14(40-y)+12y= 720
560-14y+12y= 720
collect like terms
-2y= 720-560
-2y= 160
y= -160/2
y= -80
put y= 80 in 1
x+80= 40
x= 40-80
x= -40
Hence Adult tickets cost $80, children ticket cost $40
It takes Sara 5 1/2hours to drive to her aunt's
house. She has already driven 3 1/2 hours.
How much longer does Sara have left to
drive?
Answer:
2 hours
Step-by-step explanation:
To solve this question, we can convert the fraction into decimal form momentarily, so that 5 1/2 is now 5.5, and 3 1/2 is now 3.5. We know that Sara has already driven 3.5 hours, and it takes 5.5 to get to her aunts house. To dins how much longer Sara has left to drive, simply subtract the total amount of hours by the hours already completed:
5.5 - 3.5 = 2.0
Meaning, Sara has 2 hours left to drive
Hope this helps :)
In ΔABC , angle C is a right angle.
Which statement must be true?
A.sin A = cos B
B.sin A = tan B
C.sin B = tan A
D.sin B = cos B
Answer: Choice A. sin(A) = cos(B)
============================================================
Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
sin(A) = opposite/hypotenuse = BC/ABcos(B) = adjacent/hypotenuse = BC/ABSince both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
Maria is x old her sister is twice her age write an expression in simplest form that represents the sum of the ages of the two sisters
Answer:
x*2=y+x= both
Step-by-step explanation:
y would be her sister age, you would have to multiply Marias age by 2 to get her sisters age since her sister is twice her age then you have to add them together to get the sum of both their ages.
Example: maria is 16
16*2=32+16=48
so the sum of both of their ages is 48 (JUST AN EXAMPLE)
Amy is a years old.
Zack is 7 years older than Amy.
Using a, write an expression for Zack's age.
Answer:
x + 7
Step-by-step explanation:
amy is unknown x + 7 equals zack
It intersects its midline at (-3.5,-0.8) and it has a maximum point at (4.1,0.7) what is the units
Answer:
7.7466
Step-by-step explanation:
Hope it helps:)
The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?
What is the angle of elevation from point A to point C?
Answer: b
Step-by-step explanation:
By the alternate interior angles theorem, the angle of elevation and the angle of depression have the same measure.
The measure of angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
It is given that:
The right-angle triangle is shown in the picture.
The right-angle triangle is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
As the two lines are parallel to each other and a transversal is intersect the parallel lines so the angle would be same as 32 degrees
The angle A = 32 degrees
Thus, the measure of the angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.
Learn more about trigonometry here:
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What is the coefficient for x in the equation below?
7x + x = 14
a 7
b 1
c 2
d 10
What is the solution to the equation below? Round your answer to two
decimal places.
-
24x = 127
Answer:
x = 5.29
Step-by-step explanation:
24x = 127
Divide both sides by 24.
x = 127/24
x = 5.29
a) 25 + 97 - 72
46 -19 + 55
185 - 82 + 39
Answer:
254
Step-by-step explanation:
Add everytin step by step.
Yep me out please where can I found the value of x in the triangle at the right?
Loyalty requires you to dismiss all of your personal goals permanently.
Answer:
Step-by-step explanation:
show the rest
Answer:
False
Step-by-step explanation:just took the test
You have a gross annual income of $175,000 and have been pre-approved for a 30-year mortgage loan at 3.375% as long as the back-end ratio does not exceed 36%. The house you want to buy costs $560,000, and you plan to make a down payment of 20%. Your monthly payment would be $1980.59. Your research shows that the semi-annual property taxes for this house are $3,450. You have been given a quote from your insurance company of a $1,290 annual premium. You currently have a $579 monthly car payment and your monthly credit card bills average $2,000
Answer:
Step-by-step explanation:
Answer:
There's a proportion relationship between number of shell and their cost
Step-by-step explanation:
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
What is the area of a circle that has a radius of 5 meters
Answer:
Step-by-step explanation:
area of circle = pi* r^2
Area = (3.14)*(5)^2
area= 78.5 m^2
Step-by-step answer:
The formula for the area of a circle is pi•r², so substitute 5 in for r.
pi•5²
Now, simplify the equation. Use PEMDAS.
There are no Parentheses, so we move on to Exponents.
pi•25
Now, we move to Multiplication.
P.S. If you are using 3.14 for pi, your answer is 78.5; otherwise, your answer is below.
78.53981634
Plzzzzz give me Brainliest!!!!!
68x2 – 60y - 9x2 + y2
PLZ HELP ME WITH THIS NEED THE ANSWER NOW PLSSSSSSSSS THIS IS 7TH GRADE AMTH
Answer:
Just by the looks at it P has the greater slope I think but graph it to make sure cause I might be wrong.
Answer:
Function 2
Step-by-step explanation:
4(x – 3)
need help answering this question
Answer:
4x-12
Step-by-step explanation:
4 x x is 4x and 4x-3 is -12
What does (a+b+c)²=?
Answer:
a²+b²+c²+2ab+2bc+2ca