Answer:
a
[tex] 0.9876 < \mu < 1.0174 [/tex]
b
[tex]0.941 < x_o < 1.064[/tex]
c
[tex]0.933 , 1.072[/tex]
Step-by-step explanation:
From the question we are told that
The data is
1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 1.01, 1.03, 0.99, 1.00, 1.00, 0.99, 0.98, 1.01, 1.02, 0.99
Generally sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i}{n}[/tex]
=> [tex]\= x = \frac{1.01 + 0.97 + 1.03 \cdots +1.02 + 0.99}{16}[/tex]
=> [tex]\= x =1.0025[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x - \= x) ^2}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (1.01 - 1.0025 ) ^2 + (0.97 - 1.0025 ) ^2+ \cdots + (0.99 - 1.0025 ) ^2 }{16} }[/tex]
=> [tex]\sigma = 0.0202[/tex]
Given that the confidence level is 99% then the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
From the t distribution table the critical value for [tex]\frac{\alpha }{2} = \frac{0.05}{2} = 0.005[/tex] is [tex]t_{\frac{\alpha }{2} } = 2.947[/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.947 * \frac{0.0202 }{\sqrt{16} }[/tex]
=> [tex]E = 0.01488[/tex]
Generally the 99% confidence interval is
[tex]\= x - E < \mu < \= x + E[/tex]
=> [tex]1.0025 - 0.01488< \mu < 1.0025 + 0.01488[/tex]
=> [tex] 0.9876 < \mu < 1.0174 [/tex]
Generally the 99% Prediction interval is mathematically represented as
[tex]\= x -[t_{\frac{\alpha }{2} } * \sigma * \sqrt{1 + \frac{1}{n} } ] < x_o <\= x +[t_{\frac{\alpha }{2} } * \sigma * \sqrt{1 + \frac{1}{n} } ][/tex]
So
=> [tex]1.0025 -[2.947 * 0.0202 * \sqrt{1 + \frac{1}{16} } ] < x_o <1.0025 +[2.947 * 0.0202 * \sqrt{1 + \frac{1}{16} } ]
=> [tex]0.941 < x_o < 1.064[/tex]
Generally the two sided limit tolerance factor at sample size of n = 16 , Prediction level of 99% and confidence level of 95 is [tex]r = 3.421[/tex] , this value is obtained from the statistical table
Generally the 99% tolerance interval for coverage of the central 95% of the distribution of diameters is mathematically represented as
[tex]\= x - (r * \sigma ) , \= x + (r * \sigma )[/tex]
=> [tex]1.0025 - ( 3.421 * 0.0202) , 1.0025 + ( 3.421 * 0.0202)[/tex]
=> [tex]0.933 , 1.072[/tex]
Please help!!
Find the value of x.
A. 46
B. 60
C. 92
D. 96
Answer: A. 46
My reason is that you would want to times each one to see if they would equal 100 so what you would is (2 x 46+8) which equal 100.
Evaluate. Write your answer as a fraction or whole number.
1/3(1)
=
Answer:
Step-by-step explanation:
The volume (V) of a rectangular prism whose height is 12 cm and the base is a square with side lengths s cm: V=12s2
Yes or No?
Answer:
[tex]Volume = 12s^2[/tex]
Step-by-step explanation:
Given
[tex]Height = 12cm[/tex]
[tex]Base = s[/tex]
Required
Determine the volume
Since the base is a square, the volume is:
[tex]Volume = Base * Base * Height[/tex]
[tex]Volume = s* s * 12[/tex]
[tex]Volume = 12s^2[/tex]
PLS I REALLY NEED HELP: Write a function rule for the data in the following table.
Answer: 4x3=12 5x3=15 6x3=18 7x3=21 This is multiplied by 3
Step-by-step explanation:
Suppose that you have read the following excerpt in a journal/research article:
We have sufficient evidence (at alpha equals 5%) to conclude that employee sales (in number of units sold) differ by traning program format (no training session, one training session, two training sessions).
Which of the following statements must be true based on this excerpt?
A. Employees attending two training sessions had the highest average sale
B. Employees with more training will always sell more units
C. The author's p-value was less than 5%
D. The author used a 10% Type-I Error probability
E. Our factor variable has only two levels since "No Training" cannot be a factor level
Consider the following hypothetical Multiple Comparisons of Means results for a study concerning differences in employee sales (in number of units sold) by training program format. Suppose that our sample consisted of sales employees and that we had sufficient evidence to reject the ANOVA null hypothesis.
Training Program Format Sample Average Sales (in Units Sold) Homogeneous Groups
No Training Session 300.05 A
One Training Session 345.68 B
Two Training Sessions 350.33 B
Which of the following statements is true based on the table above?
A. We do not need to consider the cost of the training sessions when choosing the best training program format
B. Training Program Format is our response/dependent variable
C. We expect an increase in sales when we implement one or two training sessions, but we do not expect a training program with two sessions to lead to significantly more sales than a program with only a single training session
D. Having a training program with three sessions will result in an increase in sales compared to having a training program with two sessions
Having a training program with two sessions yields significantly more sales than a training program with only one session
The graph below displays the relationship between the age of drivers and the number of car accidents per hundred drivers in the year 2009
Answer:B
Step-by-step explanation:
Older drivers tended to have fewer accidents per 100 drivers
Answer:
Step-by-step explanation:
Please leave a rating if this helped :)
1. A person spends1/4 -part of his
income on food, 2/3part on house
rent and remaining * 630 on other
items. Find his house rent.
(a) * 2050
(b) 5040
(c) * 1000
(d) None of these
Answer:
*2520
Step-by-step explanation:
A quarter of him income was spent on food
X (representing his income) - x/4= 3x/4
Then 2/3 was spent on house rent. Notice the, the question didnt say 2/3 of his income. Therefore it would be 2/3 of what is remaining after he pays for food.
2/3 * 3x/4= x/2
3x/4-x/2=x/4.
The remaining after all expenses are paid is 630. So:
x/4=630
x=630*4
x=2520
1/4 + 2/3 + 1/12 = 1
That is fraction on
Food + house rent + other items = Total amount
If 1/12 = 630.............. equation 1
Then 1/4 + 2/3 = 11/12
11/12= x................. equation 2
Cross multiply equation 1 & 2
1/12*x = 1155/2
To find x, cross multiply again
2x = 13860
x = 13860/2
x = 6930
This means that 11/12 + 1/12 = 6930 + 630
= 7560
Therefore 2/3(fraction for house rent)*7560(total amount)=5040
Answer is 5040
What single transformation was applied to triangle A to get triangle B?
Answer:
What is triangle A and triangle B. I don't think you attatched a photo...
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is translation
i need help please lol
Answer:
that's a right angle and its equals 90° but I think you add all of them 56°,31°, and x°
Answer:
x should equal 93
Step-by-step explanation:
180° - 56° - 31 degrees = 93°.
Let me if its wrong and I will correct it if is.
A manufacturing plant produces custom hardware for specific applications in construction. One particular kind of bolt that is intended to have a length of 84mm is produced by two different machines, A and B. Tristan is an employee in the department that produces this bolt. He randomly selects samples of 100 bolts from each machine and measures the length of each one. The lengths of the bolts, in millimeters, are shown in the table below. Each machine produced a bolt that has a length of 84.05mm.Use Excel to calculate each machine's z-score for producing a bolt that has a length of 84.05mm.Round your answers to two decimal places.Machine A Machine B84.017 83.97183.999 83.9984.011 84.00284.007 84.01884.008 83.9884.016 83.99384 83.98884.026 84.00484.009 83.99184.031 83.95584.017 84.01584.022 83.96684.03 83.99584.07 83.97584.018 83.94484.05 83.9384.049 83.99984.026 83.98283.999 83.94884.002 83.95284.057 83.98483.991 84.00284.016 83.98684.006 84.0183.987 83.98384.034 84.01984.035 83.95884.006 83.99284.021 83.98784.022 83.97484.028 83.99684.004 83.98584.032 83.97884.02 83.98684.026 83.96284.041 83.9784.035 84.00483.996 84.00784.034 83.97784.042 83.96984.002 83.97384.019 83.97484.029 83.99184.016 83.97484.014 84.00284.014 83.97884.018 83.99584.014 8484.032 83.99284.042 83.99483.999 84.00284.003 83.95884.045 83.96584.024 83.98984.033 83.98384.031 83.99784.014 83.96183.983 83.97384.055 83.98384.024 83.96584.035 83.95684.052 83.98484.041 83.9584.029 83.97584.017 83.95784.006 83.97884.013 83.98484.013 83.94384.039 83.93984.008 83.99784.029 83.9984.02 83.98384.046 83.95784.004 84.00384.036 83.98984.013 83.97284.025 84.00683.979 83.98884.015 83.9784.01 84.00984.026 83.99184.016 83.9684.024 83.94584.024 83.99684.018 83.97384.006 83.96384.039 83.95984.004 84.01983.992 83.95784.007 84.00184.04 84.01383.999 8484.007 83.98484.009 83.96784.031 83.94884.003 83.98584.01 83.98884.011 83.96384.051 83.98584.002 84.001Provide your answer below: The z-score for machine A is___ and the z -score for machine B is ____
Answer:
The formula calculated the Z-score for all data pointsStep-by-step explanation:
I have taken out time to prepare the raw file as a CSV file (comma separated variable) please see attached the excel format.
Z-SCORE= (DataPoint-AVERAGE(DataSet))/STDEV(DataSet)
IN EXCEL,
AVERAGE, an excel function that calculates the Average of data set
STDEV.S: calculates the standard deviation while treating the data as a ‘sample’ of a population.
STDEV.P: This function calculates the standard deviation while treating the data as the entire population.
kindly find attached the excel sheet, with calculations done
Kindly let me know if you need more information,
six-pack of Pepsi costs $4.18. At this rate, how much should 33 cans cost?
Answer:
Step-by-step explanation:
set up a proportion
6/4.18 = 33/x
137.94 = 6x
x = $22.99
Can someone help me please, I would appreciate it
Answer:
1.
-2x - 9y = -3
-7x - 9y= -33
Set equal to y.
-2x - 9y = -3
-9y = 2x - 3
y = -2/9x + 3/9
y = -2/9x + 1/3
-7x - 9y= -33
-9y = 7x - 33
y = -7/9x + 33/9
y = -7/9x + 11/3
Set equal to each other
-2/9x + 1/3 = -7/9x + 11/3
Combine like terms.
5/9x = 10/3
Multiply by 9/5
x = 6
Plug x in.
y = -7/9(6) + 11/3
y = -42/9 + 11/3
y = -42/9 + 33/9
y = -9/9
y = -1
(6, -1)
2.
-3x - 7y = 18
9x + 2y = 3
Set equal to y.
-3x - 7y = 18
-7y = 3x + 18
y = -3/7x - 18/7
9x + 2y = 3
2y = -9x + 3
y = -9/2x + 3/2
Set equal to each other.
-3/7x - 18/7 = -9/2x + 3/2
57/14x = 57/14
Multiply 14/57.
x = 1
Plug x in.
-3(1) - 7y = 18
-3 - 7y = 18
-7y = 21
y = -3
(1, -3)
Problem 2:
Priya is walking down a long hallway. She walks halfway and stops. Then, she walks half of the remaining distance, and
stops again. She continues to stop every time she goes half of the remaining distance.
1. What fraction of the length of the hallway will Priya have covered after she starts and stops two times?
2. What fraction of the length of the hallway will Priya have covered after she starts and stops four times?
3. Will Priya ever reach the end of the hallway, repeatedly starting and stopping at half the remaining distance? Explain
your thinking.
Answer:
The answers to the questions about problem 2 are:
The fraction of the length after Priya stops two times is 3/4.The fraction of the length after Priya stops four times is 15/16.Priya will never reach the end of the hallway.Step-by-step explanation:
The explanation about each answer is below:
1. In the first stop, Priya has walked half of the total length, and there would still be half the hallway, however, when she stops the second time, she has walked the half of the half, I mean:
[tex]\frac{1}{2}/2=\frac{1}{4}[/tex]
If you add the two values you obtain the total distance traveled by Priya:
[tex]\frac{1}{2}+\frac{1}{4}= \frac{3}{4}[/tex]
And the distance traveled in two stops is 3/4 of the total length of the hallway.
2. With four stops the system is the same, we know with two stops Priya travels 3/4 of the hallway, now with the third stop, she will travel half of the remaining distance:
[tex]\frac{1}{4}/2=\frac{1}{8}[/tex]
And in the fourth stop she will travel half of the remaining, I mean:
[tex]\frac{1}{8}/2=\frac{1}{16}[/tex]
Now, we add all the values of the distances obtained:
[tex]\frac{3}{4}+\frac{1}{8}+\frac{1}{16}= \frac{15}{16}[/tex]
So, the distance traveled by Priya in the fourth stop is 15/16 of the total length of the hallway.
3. How we know, the numbers are infinite, in the same forms the distances, by this reason, how the problem says that Priya walks just half of the distance, she will never reach the end because despite she has very near of the end, she will continue walking just half and ever smaller distances.
THE GRAPH BELOW SHOWS THE RELATIONSHIP BETWEEN THE AMOUNT
OF MONEY LEO OWES ON A LOAN HE TOOK OUT TO PAY FOR A NEW
PHONE AND TIME IN MONTHS.
AMOUNY OF MONEY (IN DOLLARS)
240
220
200
180
160
НО
120
100
80
60
40
20
4 6 8 10 12 14 16 18 20 22 24 26
TIME (IN MONTHS)
What is the x-intercept?
O (25,0)
0 (0,220)
(220,0)
O (0,25)
Answer:
(25, 0)
Step-by-step explanation:
because the last point on the graph is at 25 months, and by that time, he will have $0 left in loans to pay off, which would indicate an x-intercept
what is sum of 7+3(-4)(2)
Answer:
-17
Step-by-step explanation:
-4*2=-8
-8*3=-24
-24+7=-17
If f(x) = 3x - 2, find f(8) - f(-5)
A. 7.
B. 9
C. 37
D. 39
Answer with step-by-step explanation:
If we use the formula, we would get this:
f(8) = 3(8) - 2 = 24 - 2 = 22
f(5) = 3(5) - 2 = 15 - 2 = 13
22 - 13 = 9
Hope this helped!
Lindy went to a movie. She bought popcorn and a soda at the snack bar and paid with a $10 bill. Lindy received $3.13 as change. What digit represents 10 cents
Answer:
$0.10
Step-by-step explanation:
hope this helps
another answer would be a dime
Factor.
64x^12+27y^3
Answer:
(4x^4 + 3y) * (16x^8 - 12x^4 y + 9y^2)
Step-by-step explanation:
rewrite 64x^12 as (4x^4)^3
(4x^4)^3 + 27y^3
rewrite 27y^3 as (3y)^3
a^3+b^3=(a+b)(a^2 - ab + b^2)
(4x^4 + 3y) ((4x^4)^2 - (4x^4 * (3y) + (3y)^2)
[tex]\\ \rm\Rrightarrow 64x^{12}+27y^3[/tex]
[tex]\\ \rm\Rrightarrow 4^3x^3x^6x^3+3^3y^3[/tex]
[tex]\\ \rm\Rrightarrow (4xxxx)^3+(3y)^3[/tex]
[tex]\\ \rm\Rrightarrow (4x^3)^3+(3y)^3[/tex]
a^3+b^3=(a+b)(a^2+ab+b^2)[tex]\\ \rm\Rrightarrow (4x^3+3y)(16x^6+12x^3y+9y^2)[/tex]
“Tom needs to order some hamburgers for his colleagues. Each hamburger costs $2.00, and the delivery fee is a flat $5.00 no matter how many hamburgers he orders. If Tom's order came to a total of $25, how many hamburgers did he order?”
Answer:
10
There is no explanation I used a calculator
Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot work more than 32 hours in a week, but he wishes to earn at least $251 each week. Which weekly work schedule is within Michael’s constraints?
Answer:
The first one/$9 an hour job.
Step-by-step explanation:
For every 32 hours he works at the $9 per hour job he makes $288.
On the other hand, for every 32 hours he works at the $7 per hour job he only makes $224.
So the only one that'll work where he gets at least $251 is the $9 an hour job.
Hope this helps and have a nice day!
Answer:
C) 19 hours at the movie theater and 12 hours at the bakery
Step-by-step explanation:
EDG2020
75 x 3{44 - 2[3-(4 - 2)]} i also need the work and also how do you mark some one brainliest?
Answer:
2,726
Step-by-step explanation:
you multiply 3 times 44 =132 then 3 times -2 then you multiply 75 times 132 =2,750 then 2,750 minus 6 then you minus 2,744 minus 12 then 2,732 minus 6 which gives you 2,726
Answer:if you figure out how to mark someone pls lmk haha
Step-by-step explanation:
the model shows -3x + 5= -2x -1. What value of x makes the equation true? look at the picture please..
Answer:
D. x=6
Step-by-step explanation:
-3x + 5= -2x -1
more variables to left hand side and change its sign
-3x+2x+5=-1
move constant to right hand side and change its sign
-3x+2x=-1-5
collect like terms
-x=-1-5
calculate the difference
-x=-6
change the signs on both sides of the equation
x=6
Nate finishes his homework at 4:47 p.m. after working on it for 38 minutes. What time did Nate start his homework
Answer:
He started at 4:09
Step-by-step explanation:
Subtract
Graph the equation using the point and the slope,
1
y-2==(x-2)
Answer:
I graphed it using desmos graphing calculator it helps :>
Step-by-step explanation:
A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for of the successful bids and of the unsuccessful bids the agency requested additional information.
1. What is the prior probability of the bid being successful (that is, prior to the request for additional information)?2. What is the conditional probability of a request for additional information given that the bid will ultimately be successful?3. Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).
Complete question is;
A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 74% of the successful bids and 39% of the unsuccessful bids the agency requested additional information.
1. What is the prior probability of the bid being successful (that is, prior to the request for additional information)?
2. What is the conditional probability of a request for additional information given that the bid will ultimately be successful?
3. Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).
Answer:
1) 0.5
2)0.74
3) 0.65
Step-by-step explanation:
1) Since we are told that they had a 50-50 chance of getting the project, Thus;
Probability of a successful bid is;
P(Successful bid) = 50/(50 + 50) = 50/100 = 0.5
2) We are told that for 74% of the successful bids, the agency requested additional information. Thus;probability of a request for additional information given that the bid will ultimately be successful is;
P(request|successful) = 74% = 0.74
3) For us to find the posterior probability that the bid will be successful given a request for additional information will be gotten using bayes theorem to get;
P(successful|request) = [P(request|successful) × P(Successful bid)] / [(P(request|successful) × P(Successful bid)) + (P(request|unsuccessful bid) × P(unsuccessful bid))]
P(request|unsuccessful bid) is given as 0.39 and P(unsuccessful) will be 0.5.
Thus;
P(successful|request) = (0.74 × 0.5)/[(0. 74 × 0.5) + (0.39 × 0.5)] ≈ 0.65
The bus fare in a city is People who use the bus have the option of purchasing a monthly coupon book for With the coupon book, the fare is reduced to $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book? Express the total monthly cost to use the bus with a coupon book, f, as a function of the number of times in the month the bus is used, x. Then express the total monthly cost to use the bus without a coupon book, g, as a function of the number of times in the month the bus is used, x.
Answer:
26 times
Step-by-step explanation:
The question has missing details. However, the given parameters are
Given
Without Coupon
Bus Fare = $2.00
With Coupon
Coupon = $39.00
Bus Fare = $0.50
Represent the number of fares with x
Without Coupon, cost of fares is
Cost = 2x
i.e.
f(x) = 2x
With Coupon, cost of fares is
Cost = 39 + 0.5x
i.e.
g(x) = 39 + 0.5x
To calculate when both fares will be equal, we must have:
f(x) = g(x)
2x = 39 + 0.5x
Collect like terms
2x - 0.5x = 39
1.5x = 39
Solve for x
x = 39/1.5
x = 26
This implies that, for both cost to be equal, the person must go 26 times
what is a equivalent expression for -2/5 minus -3/4?
Answer:
9/20
Step-by-step explanation:
Are these ratios equivalent? 12 friends : 15 strangers AND 6 friends : 14 strangers
Answer:
No
Step-by-step explanation:
12:15 can be simplified to 4:5
6:14 can be simplified to 3:7
These two are not equivalent to eachother
What prediction is made for the year 1995?
14.01
What value could be predicted in the year 2025?
Would you describe this correlation as strong, moderate, or weak?
The actual value for the number of texts in the year 2000 was 30 trillion. Quantify: How does this compare to the prediction?
The actual value of 30 trillion is
than the predicted value in the year 2000.
It would be moderate corellation
somebody please answer, i need help asap. how many square meters ?