Answer:
2x+30=x+80 (corresponding angles)
2x-x=80-30
x=50
Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of 50 successes with . Use StatKey or other technology to generate a bootstrap distribution of sample differences in proportions and find the standard error for that distribution. Compare the result to the value obtained using the formula for the standard error of a difference in proportions from this section.
Answer:
Using a formula, the standard error is: 0.052
Using bootstrap, the standard error is: 0.050
Comparison:
The calculated standard error using the formula is greater than the standard error using bootstrap
Step-by-step explanation:
Given
Sample A Sample B
[tex]x_A = 30[/tex] [tex]x_B = 50[/tex]
[tex]n_A = 100[/tex] [tex]n_B =250[/tex]
Solving (a): Standard error using formula
First, calculate the proportion of A
[tex]p_A = \frac{x_A}{n_A}[/tex]
[tex]p_A = \frac{30}{100}[/tex]
[tex]p_A = 0.30[/tex]
The proportion of B
[tex]p_B = \frac{x_B}{n_B}[/tex]
[tex]p_B = \frac{50}{250}[/tex]
[tex]p_B = 0.20[/tex]
The standard error is:
[tex]SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.00274}[/tex]
[tex]SE_{p_A-p_B} = 0.052[/tex]
Solving (a): Standard error using bootstrapping.
Following the below steps.
Open StatkeyUnder Randomization Hypothesis Tests, select Test for Difference in ProportionsClick on Edit data, enter the appropriate data Click on ok to generate samplesClick on Generate 1000 samples ---- see attachment for the generated dataFrom the randomization sample, we have:
Sample A Sample B
[tex]x_A = 23[/tex] [tex]x_B = 57[/tex]
[tex]n_A = 100[/tex] [tex]n_B =250[/tex]
[tex]p_A = 0.230[/tex] [tex]p_A = 0.228[/tex]
So, we have:
[tex]SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}[/tex]
[tex]SE_{p_A-p_B} = \sqrt{0.002475064}[/tex]
[tex]SE_{p_A-p_B} = 0.050[/tex]
Find the equation of the line below.
10
(4,8)
х
t(1,2)
- 10
10
- 10
O A. y = 2x
O B. y = 1x
O C. y = x
O D. ya
Answer:
y=2x
Step-by-step explanation:
The line passes through the origin, so the y-intercept = 0
the slope m can be found with
m = (y2-y1)/(x2-x1) = (8-2)/(2-1) = 2
Therefore the equation of the line is
y = 2x + 0 = 2x
Answer:
A) y = 2x
Step-by-step explanation:
We are given the points (4,8) and (1,2).
[tex]\frac{2-8}{1-4}=\frac{-6}{-3}=\frac{6}{3}=\boxed{2}[/tex]
The line passes through the origin.
Option A should be correct.
Hope this helps.
Please help! Thank you!
Answer:
D: (2, -3)
Step-by-step explanation:
We have;
y = 3x - 9 - - - (1)
y = -2x + 1 - - - (2)
By substitution method, from eq 1, we see that: y = 3x - 9
Thus,let's put 3x - 9 for y in eq 2;
3x - 9 = -2x + 1
Rearranging to get;
3x + 2x = 9 + 1
5x = 10
x = 10/5
x = 2
Thus;
y = 3(2) - 9
y = 6 - 9
y = -3
Thus,the solution (x, y) = (2, - 3)
What is the measure of angle x? Round to the
nearest tenth. .
28
21
xº
Help Help Help it's in khan academy
Answer:
Step 1 is wrong
Step-by-step explanation:
[tex] \frac{1}{4} r+ 2 = 10[/tex]
[tex] \frac{r}{4} + 2 = 10[/tex]
[tex] \frac{r}{4} = 10 - 2[/tex]
[tex] \frac{r}{4} = 8[/tex]
[tex]r = 8 \times 2[/tex]
[tex]r = 32[/tex]
Hope it is helpful...What is the solution to -2(8x - 4) < 2x + 5?
Answer:
See image below:)
Step-by-step explanation:
A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?
Answer:
Step-by-step explanation:
um yes..!
Double Dice is a game in which two dice are rolled. A player wins the game if a certain sum is rolled. A player wins $7.00 if he rolls a sum of 5 or 6 and $20.00 if he rolls a sum of 2 or 3. He wins nothing if any other sum is rolled.
A. Define the random variable, X.
B. Write out the probability distribution function for the game.
C. What is the expected value of the game?
D. Assuming you have to pay $6.00 to play the game, explain what happens in the long run. (Is it a good idea to play the game?)
Answer:
3.417
Kindly check explanation
Step-by-step explanation:
X : $7 ; $20 ; $0
Sample space for the sum of two die rolls :
Probability of obtaining a sum of 5 or 6 ;
P(sum of 5 or 6) = 9/36 = 1/4
Probability of obtaining a sum of 2 or 3 ;
P(Sum of 2 or 3) = 3/36 = 1/12
Probability of obtaining a sum of other Tha 2,3, 5 or 6 ; = 24/ 36 = 2/3
The probability distribution :
X _____ 0 _______ 7 _____ 20
P(x) ___ 2/3 _____ 1/4 ____ 1/12
Expected value of the game ; E(X) ;
E(X) = Σx*p(x)
E(X) = (0*2/3) + (7*1/4) + (20*1/12)
E(X) = 0 + 1.75 + 1.6667
E(X) = 3.417
This means that if the game is paid for a long time, the mean or expected winning will be ; $3.417
If game has to be played with $6 ; then to determine if it is a good idea to play the game on a long run, we calculate the payoff ;
The payoff is :
Expected value - playing cost
$3.417 - $6 = - $2.583
Since payoff is negative, we can conclude that it is not a good idea to play the game in the long run : as the expected value is lesser than the playing fee.
What is the slope of the line that contains the points (-1,-1) and (3, 15)?
O A.
1
4
B. 4
O C. -
4
D. -4
Answer:
its b
Step-by-step explanation:
Which of the following is the point-slope form of the equation with slope 3 that goes through the point (4,2)?
Answer:
y–y1 =m (X–X1)
y–2=3(x–4)
y=3x–10
Alex was trying to determine how much money he owed the bank. Since his checking account has a balance of -155 dollars, he thinks that he can find the absolute value of -155 to determine that he owes the bank 155 dollars. Is Alex correct?
Answer:
Alex is correct.
Step-by-step explanation:
In order for Alex to get to $0, meaning he owes the bank nothing, he has to add 155 dollars to negative 155 dollars, because this means he has no debt left. The absolute value of -155 is 155 and if Alex pays the 155 dollars, he will not have to pay anything else to the bank.
The graph makes it appear that there are how many times as many students per teacher at North HS as there are at
West HS?
Student Teacher Ratios at Area High Schools
North RS
East HS
13
West HS
12
14
18
22
a.
b.
10
2 times
3 times
4 times
5 times
C.
d.
Answer:
5 times
Step-by-step explanation:
Using visual inspection, the bar of North HS is 5 times longer Than the bar of West HS.
The gtids are of equal size, West HS occupies one portion of the grid, while North HS occupies 5 portions of the grid
5 portions / 1 portion = 5
Hence, North HS according to the graph is 5 times West HS
PLEASE HELP ASAP!!! WILL MARK BRAINLIEST !!
Answer:
CA = LJ
Step-by-step explanation:
The third side
CA = LJ
Answer:
CA=LG is correct answer
Need help ASAP!!!!!!
Answer:
I dont know for sure, but maybe try B
Step-by-step explanation:
ayuda ÷18=40 que número falta
Answer:
720
Step-by-step explanation:
x÷18=40
x=18•40
x=720
Need the answer to number 4
Answer:
[tex]\sqrt{85}[/tex] /2
Step-by-step explanation:
lets find hypotenuse( longest side) first
let other two samller sides be a and b and hypotenuse be c
pythagorsd theorem
a^2 + b^2 =c^2
9^2 + 2^2 =c^2
81 + 4=c^2
85 =c^2
[tex]\sqrt{85}[/tex] =c
take theta as reference angle
cosec theta=hypotenuse/opposite
=[tex]\sqrt{85}[/tex] / 2
Answer:
Answer is B. CSC ∅ = √85 /2
Step-by-step explanation:
CSC = 1 / Sin ∅
So first find Sin ∅ = 2 / √ 85 and then substitute in the formula
And oh, in case you're wondering, √ 85 is the hypotenuse side which you find like this:
√ 9² + 2²
√ 81 + 4
√ 85
use quadratic formula to solve these equation (a).3x²+6x+2=0
Answer:
Step-by-step explanation:
3x² + 6x + 2 = 0
Quadratic Formula is:
x = -b ± √b²- 4ac/2a
So...
Δ = b² - 4ac = 6² - 4.3.2 = 12
x = -6 ± √Δ/2.3 = -6 ± √12/6
x' = -6 + √12/6 ≈ -0,4227
x'' = -6 - √12/6 ≈ -1,5774
S = { -0,4227 , -1,5774 }
I think this is it.GOOD STUDIES!
The
Slope
a line that goes
through the points (r, 6 ) and (4,2
is 4 find r
If the ratio of paintings to paintbrushes is 11:9, what percent of the items are paintbrushes. A.30% B. 35% C.40% D.45%
Answer:
D. 45%
Step-by-step explanation:
there are 11 paintings and 9 paintbrushes, added together you have a total of 20 items. There are 9 paintbrushes and 20 items in total which is 9/20. 9/20 as a percentage is 45%
A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H = the event of getting a hat. Let N = the event of getting a noisemaker. Let F = the event of getting a finger trap. Let C = the event of getting a bag of confetti. Find P(N).
Answer:
P(N) = 5/14
Step-by-step explanation:
Find P(N) by finding the probability of getting a noisemaker.
There are 42 items in total, and 15 are noisemakers. Find the probability by dividing 15 by 42:
15/42
Simplify:
5/14
So, P(N) = 5/14
Help (PLATO)
its Algebra
Answer: The answer is D
Step-by-step explanation:
You add z to the other side then it will cancel out which then it would be (w+z) and then you times it by 2 by both sides which would be 2(w+z) and then you would subtract x from both sides which will be 2(w+z)-x
Hopefully this helps
Sum of all edges of all shape
Answer:
Infinient amount buddy. They are infinent amounts of polygons, as a polygon is a shape with more then 3 sides and closed. This means as long as a number is bigger then 3, there will be a shape for it, so infinent sides
Step-by-step explanation:
In the figure below, which term best describes point R?
A. Orthocenter
B. Centroid
C. Incenter
D. Circumcenter
Orthocenter is the best term to describes point R in the triangle UVW.
What is orthocenter?" Orthocenter is defined as intersecting point of the altitudes of the sides of the acute angle triangle."
According to the given figure,
In triangle UVW,
Ray VR perpendicular to UW
Ray UR perpendicular to VW
Ray WR perpendicular to UV
Altitudes of side ( UV , VW, and WU) of triangle UVW intersect at
point R.
As per the definition of orthocenter , point R represents orthocenter.
Hence, orthocenter is the best term to describes point R in the triangle UVW.
Learn more about orthocenter here
https://brainly.com/question/19763099
#SPJ2
Five schools are going to send their baseball teams to a tournament, in which each team must play each other team exactly once. How many games are required
Answer:
20 games are required to be play
A camera rental company charged a fixed amount plus a fee based on the number of days for which the camera is rented. The graph below shows the amount paid for a different number of days to rent the camera:
Answer:
$40
Step-by-step explanation:
It's the value on the y-axis. (0 days)
A summer music program admits a total of 30 students. Every year the program is filled. Some years there are only girls, and some years there are only boys. A function, f, is written that gives the number of girls, y, enrolled in the program based on the number of boys, x. If this function is graphed over the appropriate domain, which statement must be true? Select all the statements
that apply.
Answer:
c d
Step-by-step explanation:
trust me
A restaurent pays a water R18 per hour in one week he worked a shift from 12h00 to 23h00 Calculate the number of hours the water works per shift
Answer:
Number of hour work per shift = 11 hour per day
Amount paid for one shift = Rs 198
Step-by-step explanation:
Given:
Amount pay per hour = Rs 18
Shift time = 12 h to 23 h
Find;
Number of hour work per shift
Amount paid for one shift
Computation:
Number of hour work per shift = 23:00 - 12:00
Number of hour work per shift = 11 hour per day
Amount paid for one shift = Number of hour work per shift x Amount pay per hour
Amount paid for one shift = 11 x 18
Amount paid for one shift = Rs 198
Can someone help ASAP
work out 8^1/3
^1/3 = power
Answer:
8/9 (decimal: 0.888889)
Answer:
[tex]2[/tex]
Two is the answer.
Step-by-step explanation:
simple explanation is; when you go through your two times table.. in order to arrive at eight, (8), you have to mention or go through 3 numbers
Or .... cube root of 8 is two..
PLEASE MARK ME BRAINIEST
What is the perimeter of the trapezoid? In unit
Answer:
20 units
Step-by-step explanation:
the perimeter = 7+4+4+5 = 20 units