What is the slope of the line shown below?
10
A. 6
ОО
(-0,3) 6
B.
10
16
c
D. 6
101
Test Booklet AP CollegeBoard AP Statistics Name Unit 7, part 2 Test (MC) 1. A statistics student wants to compare the mean times needed to access flight information for two major airlines. Twenty randomly selected students accessed one airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.5 minutes and a standard deviation of 0.8 minute. Twenty different randomly selected students accessed the other airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true?
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Web sites
B. The p-value is greater than 0.01 but less than 0.05, therefore, there is a significant difference in mean search times on the two Web sites.
C. The p-value is greater than 0.05 but less than 0.10, therefore, there is a significant difference in mean search times on the two Web sites.
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
E. Since this is a matched-pairs situation, additional information is needed to perform a test of significance
Answer:
The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
Step-by-step explanation:
From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines
Let 'A' represent one of the airlines and let 'B' represent the other airline
In the statistics hypothesis test we have;
The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes
The standard deviation to access airline A's website, s₁ = 0.8 minutes
The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes
The standard deviation to access airline B's website, s₂ = 1.1 minutes
The t-test is given as follows;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;
[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]
Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.
True ir False: The data is symmetrical. will mark Brainliest if correct (no files or links please)
Answer:
False.
Step-by-step explanation:
A symmetrical data plot would look the same on each side. For example, it would look like this:
read and answer this thanks yall so much
Answer:
Step-by-step explanation:
48
answer only thx thx IMAOSJSJA
Answer:
5) 48
6) 60
Step-by-step explanation:
Solve.
1.5d + 3.25 = 1 + 2.25d
d= (Blank)
FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED
Answer:
Area of sector of circle = 7.6302 inches (Approx.)
Step-by-step explanation:
Given:
Angle of section = 35°
Radius of circle = 5 inch
Find:
Area of shaded section
Computation:
Area of shaded section = Area of sector of circle
Area of sector of circle = [θ/360][πr²]
Area of sector of circle = [35/360][(22/7)(5)²]
Area of sector of circle = [0.0972][(3.14)(25)]
Area of sector of circle = [0.0972][78.5]
Area of sector of circle = 7.6302 inches (Approx.)
A spinner is divided into equal sections, each labeled with a number between 1 and 5? Over the course of 150 spins, what is the best estimate of how many times you would expect that the hand of the spinner will stop on a 3? Need it kinda fast but take your time.
Answer:
30 times
Step-by-step explanation:
The computation of the number of times that expected to stop on 3 is as follows:
Since there are 150 spins
And, each labeled with a number that lies between 1 and 5
So the number of times should be
= 150 ÷ 5
= 30 times
Hence, the number of times would be 30
5. If EF = 4x+11, FG = 28, and EG=87, find the value of x, the drawing is not to scale
Answer:
Step-by-step explanation:
5)
Oh these are tricky ways to see the question in different ways, it's okay that you need help on this b/c it's kinda like a mind puzzle.
so first notice that EG is the total length
87 = something
next notice that we have two parts FG and EF
if those are added together we get the total or EG
so add the parts and set the equal to the total
87 = EF + FG
87 = 4x + 11 + 28
now we can solve for x, recall solving me "isolate x" :P soo
87-28-11 = 4x
48 = 4x
12 = x
yay
6)
EG = EF + FG
15 = 3x - 17 + 2x-8
15+17+8 =3x +2x
40 =5x
8 = x
yay
so do you see how to do those now? :?
can some one help me. The first person to get it right gets brainliest
Answer:
-4.5, 5
Step-by-step explanation:
the first number (-4.5) goes on the x-axis which is the bottom. I goes between the -4 and the -5
The second number (5) goes on the y-axis where it says 5
Explain how to simplify the rational expression x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8. (be sure to include the simplified rational expression)
Answer:
267x2 -8x -8 where
x=- 4± 2√ 538/267
Step-by-step explanation:
x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8
= x2 -89x2 - 16x2 - 163x2 - 2x+ 10 x + 8
= -267x2+8x +8
= 267x2 -8x -8
First the like terms are arranged and then added . All the co efficients of x2 are added and x are added separately.
Using the quadratic equation to find the value of x
a= 267 , b= -8 and c= -8
x= -b±√b²- 4ac/ 2a
x= -8±√64 +8544/534
x= -8±√8608/534
x=-8±√ 2 x 2 x 2 x 2 x 2 x 269/534
x=-8± 4√ 2 x 269/534
x=- 4± 2√ 2 x 269/267
x=- 4± 2√ 538/267
A gym charges $5 per day, plus $2 for each equipment rental. Jamin will pay for one day at the gym and
r equipment rentals. Create an equation that represents the total amount, a dollars, Jamin will pay.
Enter your equation in the space provided. Enter only your equation.
This is for math class. Help me plz. Need this done by today mid-night.
What is m∠1? Please help
Answer:
∠ 1 = 102°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an exterior angle of the triangle , then
∠ 1 = 33° + 69° = 102°
Answer:
102
Step-by-step explanation:
exterior angle rule:
an exterior angle of a triangle is equal to the two opposite interior angles
so m1= sum of opposite interior angles (69 and 33)
69+33=102
so m1 = 102
WOULD YOU RATHER receive 40% off 15 copies OR 50% of 25 copies?
justify your reasoning with mathematics.
Answer:
hahaha
Step-by-step explanation:
hahahahahayou dont know d answer hahaha but i know its a secret
Answer:
If 40 percent off 15copies and each copies 100 pounds then it would cost 60 pound per copy times it by 15 = 900 pounds
whereas 50 percent off 25 copies = 50 pounds times 25=1250 so therefore you want 40 percent off 15 copies
Step-by-step explanation:
ed made a large cube by gluing together a number of identical small cubes together
Answer:
thats cool not realy a question tho can I have brainlest
Step-by-step explanation:
Ed painted 95 faces of a large cube.
What is the Cubic equation?Cubic equations are polynomials of degree 3. That means the maximum degree of the polynomial is three.
And the standard form of the cubic equation is;
f(x) = ax³ + bx² +cx +d, where a, b, c, and d are constant coefficients a ≠ 0.
Let's assume that the original cube that Ed made had n small cubes along each edge.
Then the total number of small cubes in the large cube is n³.
Let p be the number of faces that Ed painted.
Each small cube has 6 faces, and if a face is painted, it will not be visible after the large cube is assembled.
So the total number of unpainted faces is 6n³ - p.
When Nicole drops the cube, each small cube will be separated from the others, and all painted faces will become visible.
So the total number of painted faces is equal to p minus the number of small cubes that don't have any painted faces, which is 45.
Therefore, we have a cubic equation:
p - 45 = 6n³ - p.
Simplifying this equation, we get:
2p =6n³ + 45
p = 3n³ + 22.5
We know that p is an integer, so 3n³ + 22.5 must be an integer.
This means that n³ must be a multiple of 2/3.
The smallest integer value of n that satisfies this condition is n = 3.
So Ed made a cube with 3 small cubes along each edge, and he painted:
the value of the cubic equation at 27,
p = 3n³ + 22.5 = 3(27) + 22.5 = 94.5 ≈ 95 faces of the large cube.
Therefore, 95 faces of the large cube.
To learn more about the cubic equation;
brainly.com/question/13730904
#SPJ7
The complete question:
Ed made a large cube by gluing together a number of small identical cubes and then he painted some of the faces of the large cube. His sister Nicole dropped the cube and it broke into the original small cubes. 45 of these small cubes didn't have any painted faces. How many faces of the large cube did Ed paint?
Urgent!!
Sara sells a new car worth $46,000. She earns a 5% commission based on her sales. How much commission did
Sara earn?
Answer:
Sara earned a commission of $2,300.
Step-by-step explanation:
To find the answer we will first divide 5 by 100 and we get 0.05. Now multiply $46,000 by 0.05 and we get $2,300. Therefore, $2,300 is our answer.
A (5, 3), B (2, 1), and C (-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are the coordinates of the image?
1. A'(5, -3), B'(2, -1), C'(-2, -4)
2. A'(-5, 3), B'(-2, 1), C'(-2, 4)
3. A'(-5, 3), B'(-2, 1), C'(2, 4)
4. A'(-5, -3), B'(-2, -1), C'(2, -4)
Answer:
1 is the answer
Step-by-step explanation:
When coordinates are reflected over the x axis, the x coordinates stay the same but the y coordinates becomes either negative, if they were positive, or positive, if they had orginally been negative.
If this doesn't make sense i'l try to rephrase it, hope it helps though :)
Evaluate this expression: 39 -:- (2 + 1) -- 2 x (4 + 1).
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Do what's in the brackets first
39 ÷ (3) - 2*(5)
Now do the division and multiplication next.
13 - 10
Finally the subtraction.
3
help me plzz pleased
Answer:
jeez, one lazy person must you be if you dont have time to finish this xD
answer is 181
Step-by-step explanation:
well first divide the two objects, a triangle, and a rectangle. Now we have no idea what the bottom of the triangle is so lets calculate that. 18 - 2 -5 = 11
so the triangles dimesions are a10, b11. Now we have to implement the pythagorem theroem since it doesnt give us the side "c". its a simple a^2+b^2=c^2. so side "c" is 14.866. now we can calculate and add everything together. so 18*7=126. and the triangles area is 55. so add 126+55 and viola. you get 181. Im a bit skeptical that i got something wrong but i hope its all correct. hope this helps!
Help ASAP please now please don’t comment unnecessary
Answer:
Hope that helps!!
18.84x
The volume of a rectangular prism is 12 cubic inches. One of the dimensions of the prism is a fraction. What could the dimensions of the prism be? Give two possible answers.
Answer:
Step-by-step explanation:
12 = 24 * 1 * 1/2
12 = 36 * 1 * 1/3
These are 2 possible answers.
There are many more.
Which of the coordinate points below will fall on a line where the constant of proportionality is 1/4? Select all that apply. A) (4,1) B) (8,12) C) (12,3) D) (20,5) E) (12,6)
Answer:
A) (4,1) C) (12,3) D) (20,5)
Step-by-step explanation:
Required
Which has a constant of proportionality of 1/4
To solve this, we make use of:
[tex]y = kx[/tex]
Where k is the constant of proportionality.
Solve for x
[tex]k = y/x[/tex]
Testing the given options
A) (4,1)
[tex]k = y/x[/tex]
[tex]k =1/4[/tex]
B) (8,12)
[tex]k = y/x[/tex]
[tex]k =12/8[/tex]
[tex]k =3/2[/tex]
C) (12,3)
[tex]k = y/x[/tex]
[tex]k = 3/12[/tex]
[tex]k = 1/4[/tex]
D) (20,5)
[tex]k = y/x[/tex]
[tex]k = 5/20[/tex]
[tex]k = 1/4[/tex]
E) (12,6)
[tex]k = y/x[/tex]
[tex]k =6/12[/tex]
[tex]k =1/2[/tex]
Chloe was given a large box of 36 chocolates for her birthday. If she eats exactly 2 chocolates each day, how many chocolates would Chloe have remaining 8 days after her birthday?
Answer:
20 chocolates
Step-by-step explanation:
I got 20 chocolates as my answer because I multiplied the 2 chocolates eaten each day by the 8 days. She eats 2 chocolates each day for 8 days. 8x2=16. Then, I took the 36 chocolates and subtracted 16 chocolates eaten to get the answer of how many chocolates are left. 36-16=20. Therefore, Chloe has 20 chocolates.
Chloe has 20 chocolates remaining 8 days after her birthday.
Help me out it was hard
Rick bought 3 shirts for $18 each, 2 pair of socks for $3.99 a pair, and a pair of slacks for $45.00. The sales tax rate is 8.5%. How much did he pay? and how did you find it?
Step-by-step explanation:
shirts=3×18=$54socks=$3.99slacks=$45 =total sale =$102.99 sales tax=8.5%÷100=0.085=0.085×102.99=8.754
total=8.754+102.99111.744
get this right N I’ll give you brain list!
Answer:
[tex]y=\frac{1}{4} +x[/tex]
Step-by-step explanation:
use desmos graphing calculator
Help me ASAP!!!!!
See pic attached
Answer:
PQ ≈ 10.6 cm
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P(3, - 1) and (x₂, y₂ ) = Q(- 5, 6)
PQ = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]
= [tex]\sqrt{(-8)^2+7^2}[/tex]
= [tex]\sqrt{64+49}[/tex]
= [tex]\sqrt{113}[/tex]
≈ 10.6 ( to 1 dec. place )
Anyone wanna fight? 12x76-8(456-98)=
Answer:
-1952
Step-by-step explanation:
Answer:
1952
Step-by-step explanation:
12 x 76-8(456-98)
912-8 x 358
912-2864
1952
Find the area of the figure below 8 inches, 5 inches
Answer:
ITS 40
Step-by-step explanation:its 8 because 8x5 is 40:5 10 15 20 25 30 35 40