Answer:
The t-distribution is used, as we have the standard deviation of the sample.
The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.
Step-by-step explanation:
We have the standard deviation for the sample, which meas that the t-distribution should be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 81 - 1 = 80
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 80 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.99
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.99\frac{4}{\sqrt{81}} = 0.88[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 8 - 0.88 = 7.12 hours.
The upper end of the interval is the sample mean added to M. So it is 8 + 0.88 = 8.88 hours.
The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.
how do you write 76% as a fraction
Answer:
76/100 or simplified into 19/25
Answer:
Step-by-step explanation:
76/100
Subtract the whole number and rewrite the expression. (Fraction) 3 3/4 - 1 1/3 = _ (whole number) _ / _ - _ / _
Answer:
29/12
Step-by-step explanation:
3 3/4=15/4
1 1/3=4/3
----------------
15/4-4/3=45/12-16/12=29/12
As part of a demographic study, a college administrator needed to survey a sample of students from the college. From each major offered at the college, the administrator randomly selected 5 percent of the students with that major to participate in the survey. Which of the following is the best description of the type of sample selected by the administrator?
a)cluster sample
b)convenience sample
c)simple random sample
d)stratified random sample
e)systematic random sample
Answer:convenient I think
Step-by-step explanation:
Saw the first 5 people with the major at the time
The best description of the type of sample selected in the question is;
Option D; Stratified Random Sample
We are told that for the demographic study, the college administrator randomly selected 5% of the students with the particular major randomly.
Since they were chosen randomly, it is clear that this is a type of random sampling that was not done with a convenient sample. Thus, Options A and B are already out of it leaving us with C, D or E
Let us look at the options;
Option C; This sample cannot be a simple random sample because since only 5% are selected from each major, all the students don't have equal chance of being chosen.Option D; This sample is a stratified random sample because the population has been divided into smaller groups by their majors.Option E; This cannot be a systematic random sample because there is no fixed period or interval of selection done.Read more at;https://brainly.com/question/1954758
Consider triangle ABC as pictured below. If B is transformed according to the rule (x,y) --> (x-4,y), then △AB'C will be a _______
Answer:
Right triangle
Step-by-step explanation:
7^2 + 6^2 = c^2
49 + 36 = c^2
85 = c^2
c = 9.22
Help fjdhddjdhdhhdhdhdufh
there are 72 students in pe.12 students well be in a team.how many teams can be formed
Answer:
6 teams
Step-by-step explanation:
72/12 = 6
AAAAAAA HELP ME PLZZZZ
Answer:
12 i believe
Step-by-step explanation:
volume; LxWxH
3x2x2
3x2=6
6x2=12
sorry if this is wrong lol but this is what i believe it is
solution to 3x+4=3x+4
Answer:
6x+8
Step-by-step explanation:
Brainliest?
Answer:
0 = 0
Step-by-step explanation:
Subtract 4 from both sides of the equation
3 + 4 − 4 = 3 + 4 − 4
Simplify
Subtract the numbers
3 = 3 + 4 − 4
3 = 3
Subtract 3x from both sides of the equation
3 − 3 = 3 − 3
Combine like terms
0 = 3 − 3
Result
0 = 0
12+x=46
what is the answer to x?
Answer:
x=34
Step-by-step explanation:
Which of the following must be true?
The diagram is not to scale
Answer:
AB<BC
Step-by-step explanation:
Just put that answer hope I helped!!
A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each. Find the equation of the form P(n)
Answer:
The equation of the form P(n) is:
P(n)=-0.002n+75
Step-by-step explanation:
From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:
m=(p1-p2)/(n1-n2)
m=slope
p1=69
p2=61
n1=3000
n2=7000
m=(69-61)/(3000-7000)
m=8/-4000
m=-0.002
Now that you have the slope, you can find the the equation of the form P(n):
P(n)=-0.002(n-3000)+69
P(n)=-0.002n+6+69
P(n)=-0.002n+75
According to this, the answer is that the equation of the form P(n) is:
P(n)=-0.002n+75
what name of triangle name is when they only have two side the same lenght
It's name is “isosceles triangle”
1. There are 180 girls in the sophomore class of 300.
a. what is the ratio of girls to boys?
b. what is the ratio of girls to total students?
Answer:
girls to boys: 3:2
girls to students: 3:5
Step-by-step explanation:
180:120 can be simplified by dividing both by 6 (GCF)
180:300 can be simplified by dividing both by 6 (GCF)
Answer: 1) 180:120 2) 180:300
Step-by-step explanation: so girls to boys there is 180 girls so to find the boys you do 300-180 because there’s only males and females in the school so if they give you the number of females the rest are males. And because they gave you the girls and the total students it’s just 180:300
What are the solutions of x^2-12x+27
Answer:
it will be (x-9)(x-3)
Step-by-step explanation:
hope this helped
find the product and sum of the equation which will be 27 and -12 respectively
then we find common factors -3 and -9
we substitute
finally our anwers will be x+9 and x-3
Which are values of dimes and nickels?
Find the value of SU
Answer:
A
Step-by-step explanation:
yw
One day Sally earned £60
She worked for 8 hours
Work out Sally’s hourly rate of pay?
Answer:
£7.50
Step-by-step explanation:
Hope this helps! If I could have brainliest I'm trying to rank up :)
Five cards (a hand) are dealt from a randomly shuffled deck of cards. For those of you that are not familiar with playing cards: each card has a suit (hearts, spades, diamonds, clubs) and a symbol (aces, kings, queens, etc.). The deck contains a total of 52 cards, with 13 of each suit and 4 of each symbol. What is the probability that the hand contains a) all spades
Answer: 0.0004951
Step-by-step explanation:
Given
Five cards are from the deck
The total number of cards in the deck is 52
total spades card is [tex]13[/tex]
We have to choose 5 cards out of 13, this can be done in
[tex]\Rightarrow ^{13}C_5[/tex]
The probability of choosing 5 spade cards is
[tex]\Rightarrow P=\dfrac{^{13}C_5}{^{52}C_5}\\\\\Rightarrow P=\dfrac{1287}{2598960}=0.0004951[/tex]
If a=1/x+1/y, what is the value of 1/a
Answer:
1/a = xy/(y-x)
Step-by-step explanation:
Simplify the reciprocal:
1/a = 1/(1/x -1/y) = 1/((y-x)/(xy))
1/a = xy/(y-x)
The grade six pupils decided to have an income generating project. They make
pancakes and spent P100; P50 for 1k of flour, P15 for 2 eggs, P15 1/4sugar. P10 for
baking powder and P10 of margarine. If they made 50 pcs, how much they should sale
each if they add 20% profit?
AP 2.30
B. P 3.00
C. P 2.40
D. P 2.50
Answer:
c. P 2.40
Step-by-step explanation:
P 100 spent, 50 pieces made. Therefore P2 a piece. 20% of P2 is .40. Therefore total is 2 + .40 = P2.40
I need help on this cans someone help me plsssss
Answer:
Step-by-step explanation:
Answer:
I have answerd now you can mark him brainliest :D
Step-by-step explanation:
WILL GIVE BRAINLIST PLS HELP Find x. Round your answer to the nearest tenth.
Answer:
i think x= 13.5
Step-by-step explanation:
Hello, can someone plz make sure I’m correct. The photo is above !
it looks correct to me
ps. i hate savvas realize
Maury and his mom painted the rectangular wall in Maury room Maury painted 1/6 of the wall and his mom painted 1/4 of the wall How much of the wall is still left to paint
Answer: 7/12
Step-by-step explanation:
1- 1/6 - 1/4
5/6 - 1/4
10/12 - 3/12
7/12 left
Lena won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 7 rings, 1 camera, and 1 headset.
(a) Find the odd against Lena winning a headset.
(b) Find the odds in favor of Lena winning a headset
Answer:
(b) Find the odds in favor of Lena winning a headset
Step-by-step explanation:
In which quadrant would point (-4.5, -4.5) be located
Carmine is packing 27 superballs in 3 square layers. Each ball has a diameter of 4 cm.
- What is he minimum volume of the box
- What is the surface area of the box
- How much empty space is in the box. ( round your answer to 2 decimal places)
6 or -11 ( < or >) which describes the relationship between the numbers?
Answer:
6 ( > ) -11
Step-by-step explanation:
6 is bigger than -11
AHHHH❗️❗️ PLZZZ HELP WILL GIVE BRAINLYISY
Answer:
X intercepts : 0 and 6
Maximum value is 120
Step-by-step explanation:
I can help with Part A
So first we need to look at the graph and fin the highest point of the y axis for the maximum.
Then we need to find where the line intercepts on the x axis which is at the points 0 and 6.
Hope this helps have a good day
Solve the equation below. Show all work and round four decimal places.
In(x^4)=6
Answer:
The solution is [tex]x = 4.4817[/tex]
Step-by-step explanation:
The inverse of the ln function is the exponential, which means that to solve this question, we apply the exponential to both sides.
We have that:
[tex]\ln{(x^4)} = 6[/tex]
Applying exponential to both sides:
[tex]e^{\ln{(x^4)}} = e^6[/tex]
[tex]x^4 = e^6[/tex]
[tex]x = \sqrt[4]{e^6}[/tex]
[tex]x = (e^6)^{\frac{1}{4}}[/tex]
[tex]x = 4.4817[/tex]
The solution is [tex]x = 4.4817[/tex]