Answer:
1875
Step-by-step explanation:
After sharing in the ratio 5:3, the brother has
5000/(5+3) x 5 = 3125
Next, he shares with his friend in the ratio 3:1:1, thus
3125/(3+1+1) x 3 = 1875
A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (The Wall Street Journal, May 5, 2010). In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.
a. Select the null and the alternative hypotheses to test the policy analyst's objective.
A. He : p 0.82; Ha: p +8.82
B. He: P 8.82; HA: P8.82
b-1. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? (Negative values should be Indicated by a minus sign. Round Intermedlete calculatlons to at least 4 decimal places and final answer to 2 declmal places.)
b-2. Find the p-value.
a. p-value<0.01
b. 0.01 s p-value<0.025
c. 0.025 s p-value
d. 0.05 sp-value<0.10
e. p-value z 0.10
c-1. At a 0.05, do you reject the null hypothesis?
A. Yes, since the p-value is greater than significance level.
B. Yes, since the p-value is smaller than significance level.
C. No, since the p-value is greater than significance level.
D. No, since the p-value is smaller than significance level.
c-2. What is the conclusion?
A. The law has been effective since the pvalue is less than the significance level.
B. The law has not been effective since the pvalue is less than the significance level.
C. The law has been effective since the p-value is greater than the significance level.
D. The law has not been effective since the p-value is greater than the significance level.
Answer:
a)Null hypothesis; H0: p = 0.82
Alternative hypothesis; Ha: p < 0.82
b-1) test statistic = -2.57
b-2)The p-value = 0.00545
c-1)Option B: Yes, we will reject the null hypothesis since the p-value is smaller than significance level.
c-2) Option A: The law has been effective since the p-value is less than the significance level
Step-by-step explanation:
A) We are given population mean as 82% = 0.8.l2
Thus defining the hypothesis, we have;
Null hypothesis; H0: p = 0.82
Alternative hypothesis; Ha: p < 0.82
b-1) We are told that a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. Thus; p^ = 150/200 = 0.75
Test statistic is given by the formula;
t = (p^ - p)/(√(p(1 - p)/n)
t = (0.75 - 0.82)/√(0.82(1 - 0.82)/200)
t = -0.07/0.0272
t = -2.57
b-2) From online p-value from t-value attached using; t = -2.57, significance level = 0.05, one tail distribution, and DF = 200 - 1 = 199, we have;
The p-value = 0.00545
c-1) Option B: Yes, we will reject the null hypothesis since the p-value is smaller than significance level.
C-2) We will conclude that;
The law has been effective since the pvalue is less than the significance level.
You can perform the t test for single mean to test the hypothesis.
The solutions are:
A: The null hypothesis: [tex]H_0: p= 0.82\\[/tex]
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
B: 1) The value of t statistic is -2.58
2) The p value is 0.0053
C: 1) Yes, since the p-value is smaller than significance level.
2) The law has been effective since the p-value is less than the significance level.
How to form the hypothesis?We take null hypothesis for events as if nothing changed. So we will the changed population mean to be same as before. Or [tex]H_0: p = 0.82\\[/tex]
And thus, the alternate hypothesis will be that the mean is decreased than 82% due to the new law, thus,
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
Solving for all problems:
A) We take null hypothesis for events as if nothing changed. So we will the changed population mean to be same as before. Or [tex]H_0: p = 0.82\\[/tex]
And thus, the alternate hypothesis will be that the mean is decreased than 82% due to the new law, thus,
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
B) 1) The sample size = n = 200, the percentage of people using phone is: [tex]\dfrac{150 \tiems 100}{200} = 75\%[/tex] thus p' = 0.75
The value of t statistic is calculated as:
[tex]t = \dfrac{p' - p}{\sqrt{(p)(1-p)/n}}\\\\t = \dfrac{0.75 - 0.82}{\sqrt{0.82 \times 0.18 / 200}} = -2.577[/tex]
2) p value from t table at df = 200 -1 == 199, we have p value at t = -2.58
The p value is 0.0053
C) 1) since the obtained p value is less than the significance level 0.05, thus we will reject the null hypothesis and accept the alternate hypothesis. Thus,
Yes, since the p-value is smaller than significance level.
2) Thus, the conclusion is:
The law has been effective since the p-value is less than the significance level.
The solutions are:
A: The null hypothesis: [tex]H_0: p= 0.82\\[/tex]
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
B: 1) The value of t statistic is -2.58
2) The p value is 0.0053
C: 1) Yes, since the p-value is smaller than significance level.
2) The law has been effective since the p-value is less than the significance level.
Learn more about null and alternative hypothesis here:
https://brainly.com/question/18831983
We want to decide whether to employ a human operator or buy a machine to paint steel beams with a rust inhibitor. Steel beams are produced at a constant rate of one every 14 minutes. A skilled human operator takes an average time of 700 seconds to paint a steel beam, with a standard deviation of 300 seconds. An automatic painter takes on average 40 seconds more than the human painter to paint a beam, but with a standard deviation of only 150 seconds. Estimate the expected waiting time in queue of a steel beam for each of the operators, as well as the expected number of steel beams waiting in queue in each of the two cases. Comment on the effect of variability in service time.
Answer:
Manual painter, expected waiting time = 0.085
Automatic painter expected waiting time = 0.031
Step-by-step explanation:
See attachment
what is 6 feet below sea level
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
sea level is 0 and below sea level would have to be a negative and you would takr the number of feet below sea level and that would be your answer in this case its -6
Solve for equation x by graphing -4^x+1=3x-4
Answer:The answer is B
x=0.75
I’m not sure though
Step-by-step explanation:
You can factor a quadratic function using the completing the square method for any coefficient of the a term. True or false
Answer:
Step-by-step explanation:
The median starting salary for new law school graduates is determined by
log(salary) = B0 + B1 LSAT + B2 GPA + B3 log(libvol) + b4 log(cost) + B5 rank + u,
where LSAT is the median LSAT score for the graduating class, GPA is the median college. GPA for the class, libvol is the number of volumes in the law school library, cost is the annual cost of attending law school, and rank is a law school ranking (with rank = 1 being the best).
i. Explain why we expect b5 < 0.
ii. What signs do you expect for the other slope parameters? Justify your answers.
iii. Using the data in LAWSCH85.RAW, the estimated equation is log(salary ) = 8.34 + .0047 * LSAT + .248 GPA + .095 log(libvol) + .038 log(cost) - .0033 rank n = 136, R^2 = .842
What is the predicted ceteris paribus difference in salary for schools with a median GPA different by one point? (Report your answer as a percentage.)
iv. Interpret the coefficient on the variable log(libvol).
v. Would you say it is better to attend a higher ranked law school? How much is a difference in ranking of 20 worth in terms of predicted starting salary?.
Step-by-step explanation:
1) we would have the expectation that b₅ < 0 because b₅ shows how salary responds to law school ranking. As the rank of law school increases then median starting salary for new law school graduates declines. there is an inverse relation between salary and rank, Coefficient of rank, b5 will be negative since it is less than 0
ii) B₁ is going to be positive because as median LSAT score for the graduating class goes up, so does the salary of graduates. we have B1 >0
B₂ will be positive as college median GPA rises, so does graduate salary.
B₃ will be positive because if the more volumes of book in library, the greater possibility of getting higher salary, so B₃ >0.
B₄ >0 as if annual cost is high , then there would be indictaes more facilities of learning for students, leading to more chances of high salaries , hence B4 >0.
B5<0 this has been explained in 1.
iii) predicted ceteris paribus difference in salary for schools with a median GPA different by one point
= coefficient of GPA
=0.248
= this 24.8% in percentages B₂ tells us that when other factors are held constant,increasing median gpa by 1 would cause 24.8 percent increase in salary predicted.
iv)holding other variable factors constant, increasing the volume in the law library would bring about predicted salary increase by 0.095%
v) due to the inverse relationship between rank of law school and salary, it is better to attend a law school with lower rank than that with higher rank
difference in ranking of 20 = 20*(-0.0033)
= -0.066 x 100
= -6.6%
if rank is lower by 20 units , then we will have salary to be 6.6% higher
ILL GIVE BRAINLY!!! Write an expression to represent "a number plus 1/3 of the number." Explain why your expression represents the situation.
Answer:
6+2=8
Step-by-step explanation:
I got this by multiplying 1/3 by 6 which equaled 2. So this means 2 is the equivalent to 1/3 of 6. You could also do whatever the number is in total (6) divided by 3 to find out how much 1/3 would be. Then you just add up the whole number and how much 1/3 of the first number is together to get your answer (8).
PLEASE HURRY 100 POINTS!
Graph x > 2.
Answer:
see below
Step-by-step explanation:
We know that x > 2 that means the line at x = 2 is dotted since there is no equals sign
We shade to the right since x is greater
Answer:
sea below
Step-by-step explanation:
313 multiplied by t is equal to 180
Answer:
t= 180/313 or 0.57507987
what is the value of ÷ 2 1/3
Answer:
6÷2 1/3
Step-by-step explanation:
The ratio of people who prefer chocolate chip cookies to oatmeal cookies is 5:2. If there were a total of 56 people surveyed, how many people prefer chocolate chip cookies?
Answer:
40
Step-by-step explanation:
5 + 2 = 7
56 ÷ 7 = 8
8 × 5 = 40
PLEASE HELPP!!! I got it wrong and im on my last chance. Please show your work to help me understand! Will mark as BRAINLIEST!!
Answer:
x=10
Step-by-step explanation:
First, you gotta get the numbers with the x on one side and the whole numbers on the other side.
So, since there is a -3 on the right side, make that 0 by adding 3. Whatever you do to one side you have to do to the other side, so then add 3 the the left side. You should have 12x=9x+30.
Now, get the Xs on one side. Since there is a positive 9x on the left side, subtract 9x from that side to make that 0. Again, whatever you do to one side you have to do to the other side, so subtract 9x from the right side as well. This should leave you with 3x=30.
In order to get x by itself, we need to divide because when 2 things (in this case the 3 and the x) are right next to each other (no space in between,) it means they are multiplied together. To get x by itself, we need to do the opposite which is divide. 3x/3=x 30/3=10 So, x=10
btw, /=divide
Answer:
12x – 3 = 9x +27
=> 12x – 9x = 27 + 3
=> 3x = 30
=> x = 30/ 3
=> x = 10
Of the 50 people at the concert, 12 are teenagers. What percent are
teenagers? *
O 48%
O 50%
O 24%
044%
Jill counted 20 pigs and chickens in the farm. Jack counted a total of 54 legs for the animals. How many chickens were there in the farm?
Answer:
Let the number of chickens in the farm = x
Let the number of pigs in the farm = y
Number of legs of chickens = 2*x (since chickens have 2 legs)
Number of legs of pigs = 4*y (since pigs have 4 legs)
We are given that there are a total of 20 animals (pigs + chickens)
so, number of chickens + number of pigs = 20
x + y = 20
We are given that there is a total of 54 legs in the farm
so, legs of chickens + legs of pigs = 54
2x + 4y = 54
Solving for number of chickens and pigs:
from the question, we have deduced that:
x + y = 20
2x + 4y = 54
taking the value of x from the first equation and using it in the second equation
x = 20 - y
2(20-y) + 4y = 54
40 - 2y + 4y = 54
40 + 2y = 54
2y = 14
y = 7
Using this value of y in the first equation:
x + y = 20
x + (7) = 20
x = 13
Therefore, there are 13 chickens and 7 pigs in the farm
Which statement must always be true?
4
13
Choose the correct answer below.
O A. If Z1 Z2, then gl|h.
OB. If 21-23, then gl|h.
O C. If Z2 = 24, then jl|k.
OD. If Z3 Z4, then illk.
Which table represents a linear function?
Х
1
2.
3
4
y
3
7
11
15
o
Х
1
2.
3
4
у
3
8
15
21
х
1
2.
3
4
y
3
9
3
9
Х
1
2
3
у
3
9
27
Answer: D
I believe :0
The table which represents a linear function is table 4.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
The tables in the question
Now,
The table that represents a linear function is:
X Y
1 3
2 7
3 11
4 15
The reason this is a linear function is that for each increase in the input value of X by 1, the output value of Y increases by a constant amount of 4. In other words, the rate of change of Y with respect to X is constant at 4, indicating a linear relationship between the two variables.
Therefore, the answer of the function will be table 4.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ7
How do you do this question?
Answer:
A and C
Step-by-step explanation:
Easiest way is to plug in values of t and trace the graph.
A (x, y) = (sin(t), cos(t))
At t = 0, (x, y) = (0, 1).
At t = π/2, (x, y) = (1, 0).
So the particle starts at (0, 1) and moves clockwise. The period of sin(t) and cos(t) is 2π, so for 0 < t < 2π, the particle makes 1 revolution.
B (x, y) = (-sin(t), cos(t))
At t = 0, (x, y) = (0, 1).
At t = π/2, (x, y) = (-1, 0).
So the particle starts at (0, 1) and moves counterclockwise. The period of sin(t) and cos(t) is 2π, so for 0 < t < 4π, the particle makes 2 revolutions.
C (x, y) = (cos(4πt), sin(4πt))
At t = 0, (x, y) = (1, 0).
At t = 1/8, (x, y) = (0, 1).
So the particle starts at (1, 0) and moves counterclockwise. The period of sin(4πt) and cos(4πt) is 1/2, so for 0 < t < 1, the particle makes 2 revolutions.
D (x, y) = (cos(2πt), -sin(2πt))
At t = 0, (x, y) = (1, 0).
At t = 1/4, (x, y) = (0, -1).
So the particle starts at (1, 0) and moves clockwise. The period of sin(2πt) and cos(2πt) is 1, so for 0 < t < 1, the particle makes 1 revolution.
Find the minimum or maximum value of the function y = -x– 4x - 2. Describe the domain and range of the function, and
where the function is increasing and decreasing.
Answer: How can this function have a max/min if it’s not a parabola?
When you graph this it’s a line.
According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks. Which of the following statements is the correct alternative hypothesis?
a. -2.64
b. -2.32
c. -2.11
d. -1.28
e. none of these are correct
Complete Question
According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks with a sample standard deviation of the time unemployed is 6.7 weeks.
1 Which of the following statements is the correct alternative hypothesis?
2 The test statistic for testing the hypothesis is
a. -2.64
b. -2.32
c. -2.11
d. -1.28
e. none of these are correct
Answer:
1
The alternative hypothesis [tex]H_a : \mu < 15.9[/tex]
2
The test statistics [tex]z = -2.64 [/tex]
Step-by-step explanation:
From the question we are told that
The population mean value for time citizens remain unemployed is [tex]\mu = 15.9 \ weeks[/tex]
The sample size is n = 50
The sample standard deviation is 6.7 weeks.
The sample mean value for time citizens remain unemployed is [tex]\mu = 15.9 \ weeks[/tex]
The null hypothesis is [tex]H_o : \mu \ge 15.9[/tex]
The alternative hypothesis [tex]H_a : \mu < 15.9[/tex]
Generally test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{s}{\sqrt{n} } }[/tex]
=> [tex] z = \frac{13.4 - 15.9}{\frac{6.7}{\sqrt{50}}}[/tex]
=> [tex]z = -2.64 [/tex]
If m∠MNP = 107°, what is m∠MQP?
Answer:
180 - 107 = 73
Step-by-step explanation:
the equation for x: 3(x - 4) = 3x + 2 *
Answer:
No Solution
Step-by-step explanation:
For the left side of the equation, we can use distributive property
3(x-4)= 3x+2
3x-12=3x+2
+12 +12
3x= 3x+14
-3x -3x
0 is not equal to 14
No Solution
Ken and Leo weighed the same and their total weight was above 130 kg. After a year, Ken has lost 8 kg and is below 60 kg now. How heavy was Ken one year ago?
Answer:
68 kg
Step-by-step explanation:
I need to find the value of x
Answer:
I think I already gave the answers to you on your previous question to find the value of y. I gave the x and y answers.
Step-by-step explanation:
x = 98
Find the perimeter of parallelogram ABCD with vertices A(–5, 6), B(2, 6), C(1, –2), and D(8, –2).
Answer:
A is the correct answer
Andrea goes fishing at 9:03 a.m. She fishes for 49 minutes. What time is Andrea done fishing?
Answer:
She is done fishing at 9:52 a.m
Answer:
9:52a.m.
Step-by-step explanation:
just add
Guadalupe Fue a la mercería a comprar 15.5 m de encaje blanco que necesitaba para la clase de costura. Si cada metro cuesta $5.60, ¿cuanto pago por todo el encaje que necesitaba?
Answer:
Costo total= $86.6
Step-by-step explanation:
Dada la siguiente información:
Guadalupe Fue a la mercería a comprar 15.5 m de encaje blanco que necesitaba para la clase de costura. Cada metro cuesta $5.60.
Si y= costo total, y x= cost por metro, entonces:
y= 5.6x
Para 15.5 metros:
y= 5.6*15.5= $86.8
5/8 + (-7/8) how do i get the answer
Answer:
-0.25 = -1/4Step-by-step explanation:
The answer ( depending on what you're asking ) either fraction or decimal is this:
Decimal: -0.25
Fraction: -1/4
Hope this helps! <3
Answer:
Your answer is - 1/4
Step-by-step explanation:
I'm the best at math my grade is 100 so believe me
What is the x intercept?
Look at the picture.
Answer:
-2
Step-by-step explanation:
the x-intercept is where the line of the slope crosses the x-axis
hope this helps :3
if it did pls mark brainliest
Which expression is equivalent to s - 0.78s +0.28s?
0.58
1.5s
O 1-0.55
s – 0.5
Answer:
0.5s
Step-by-step explanation:
Juan is paid a salary of $2400 biweekly. Find the Juan's earnings per year.
Answer:
2,400x26=62,400
Step-by-step explanation:
you times it by 26 because he gets paid biweekly