A random sample of 200 adult residents in the U.S reveals that the mean minutes of sleep they received the night prior to the interview was 528 minutes with a standard deviation of 141 minutes. Using a computer, a random sample of 200 observations was taken (with replacement) from these data and an average was computed and recorded. This was repeated 10,000 times and a visualization was made of this sampling distribution. The mean of the sampling distribution was 528 minutes and the standard deviation was 10 minutes. The sampling distribution was symmetric and unimodal. Which of the following is an approximate 95% confidence interval for the mean amount of sleep of all US residents?
a. Lower bound: 528-141, upper bound: 528+141; (387, 669)
b. Lower bound: 528-10, Upper bound: 528+10; (518,538)
c. Lower bound: 528-20141, upper bound: 528 * 2*141; 246,810)
d. lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)
Answer:
d. lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)
Step-by-step explanation:
The computation of the approximate 95% confidence interval is shown below:
Given that
mean = 528,
standard deviation = 10
[tex]Mean \mp z_{\frac{0.05}{2}}\times standard\ deviation \\\\=528 \mp 2 \times 10\\\\=(508,548)[/tex]
hence, the correct option is d.
The confidence interval gives a range of estimate for the true population mean at a given confidence level. The confidence interval for the mean is lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)
The confidence interval for the mean is obtained using the relation :
μ ± Z*σZ* = 95% critical level = ±1.96μ = sample mean = 528σ = standard deviation = 10 minutesPlugging in the values :
528 ± (1.96 × (10))
Approximating Z* (1.96) = 2.00
Lower boundary = 528 - (2 × 10) = 528 - 20 = 508
Upper boundary = 528 + (2 × 10) = 528 + 20 = 548
Therefore, the confidence interval is lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)
submit in simplest radical form :(
Answer:
x=5√3=8.6......
y=5
.....
You are thinking of opening a small copy shop. It costs $5000 to rent a copier for a year, and it costs $0.03 per copy to operate the copier. Other fixed costs of running the store will amount to $400 per month. You plan to charge an average of $0.10 per copy, and the store will be open 365 days per year. Each copier can make up to 100,000 copies per year.
Required:
a. For one to five copiers rented and daily demands of 500, 1000, 1500, and 2000 copies per day, find annual profit. That is, find annual profit for each of these combinations of copiers rented and daily demand.
b. If you rent three copiers, what daily demand for copies will allow you to break even?
c. Graph profit as a function of the number of copiers for a daily demand of 500 copies; for a daily demand of 2000 copies. Interpret your graphs.
Answer and explanation:
A. To calculate annual profit, we find:
Total income - total cost for the 365 days in a year
Total income for different daily demands:
For 500 copies= 500×365×0.10=$18250
For 1000 copies= 1000×365×0.10=$36500
For 1500 copies=1500×365×0.10=$54750
For 2000 copies=2000×365×0.10=$73000
Total cost using five copiers= 400×12+5000×5+500000×0.03= $44800
Total cost using four copiers=
400×12+5000×5+400000×0.03=
$36800
Annual profit with daily demand of 2000 and five copiers available= $73000-$44800= $28200
B.
In the parallelogram below, solve for Y
Options
4
10
25
100
Answer:
x = 4
y = 4
Step-by-step explanation:
the front triangle has two 40° angles (sum of all ∡'s must be 180°)
the unlabeled lower-left angle then is 40°; this angle corresponds to the angle in the other triangle labeled as 10y°
therefore, 10y = 40 so y = 4
Since opposite angles in a parallelogram are congruent then we can write:
40° + 25x° = 100° + 10(4)°
25x° = 140 - 40°
25x = 100°
x = 4
SOLVING THE SYSTEM BY ELIMINATION!
The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers
PLEASEEEE HURRYYY
!!!!!!
Michael has a total of 100 problems he needs to solve. After
working from 3:00 PM to 5:00 PM, he only had 40 problems
left to solve.
What was Michael's average rate of solving problems between
3:00 PM to 5:00 PM?
problems/hour
Enter the answer
Answer:
60 more problems left
Step-by-step explanation:
100-40=60
Helppppppp me with question 5 Tuesday pleaseeeeee
Answer:
n=19
Step-by-step explanation:
5+14=n
19=n
The question below give me used to determine h, The high in feet of a model rocket t seconds after it is launched from a roof that is 48 feet in height.
H=-16t^2+128t+48
Which equation reveals the maximum height reached by the model rocket?
Choices/answers^^
Answer: the answer is B.
Step-by-step explanation:
The correct equation which reveals the maximum height reached by the model rocket is,
h = - 16 (t + 4)² - 304
What is Quadratic equation?
An equation of order 2 in highest variable is called a Quadratic equation.
Given that;
The equation is,
H = -16t² + 128t + 48
Now, The equation which reveals the maximum height reached by the model rocket is find as;
H = -16t² + 128t + 48
h = -16(t² + 8t) + 48
h = -16 (t² + 8t) + 256 - 256 + 48
h = -16 (t² + 8t + 16) + 256 + 48
h = -16 (t + 4)² + 304
Thus, The correct equation which reveals the maximum height reached by the model rocket is,
h = - 16 (t + 4)² - 304
Learn more about the quadratic equation visit:
https://brainly.com/question/15241915
#SPJ5
eight percent multiped by fifty
Answer:
4
Step-by-step explanation:
Turn the percentage into a decimal and multiply.
8% -> 0.08
0.08 * 50 = 4
Best of Luck!
Answer:
4
Step-by-step explanation:
8% times 50 is the same as 8% of fifty
Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)
Answer:
f(2) = 0 and f(6) = -4
Step-by-step explanation:
First, find f(x) when x = 2
Plug in 2 as x in the function:
f(x) = -(x - 2)
f(2) = -(2 - 2)
f(2) = -(0)
f(2) = 0
Next, find f(x) when x = 6. Plug in 6 as x in the function:
f(x) = -(x - 2)
f(6) = -(6 - 2)
f(6) = -(4)
f(6) = -4
So, f(2) = 0 and f(6) = -4
What is the probability of randomly selecting a card from a standard 52 card deck and having the card be a face card or an even numbered card?
A) 5.16
B) 16.5
C) .165
D) .615
The radius of a quarter circle is 2 yards. What is the quarter circle's perimeter?
GIVING BRAINLIEST find the slope of the line perpendicular to the line graphed below
Answer:
Step-by-step explanation:
Slope of the line graphed=[tex]\frac{3-0}{0-(-2)}[/tex]
=[tex]\frac{3}{2}[/tex]
The slope of the line perpendicular to the line graphed = -[tex]\frac{2}{3}[/tex]
Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.
Only 4 people will be chosen at random. What is the probability that Ashley, Bob, Claire, and Daniel will be
chosen? (Lesson 19.3) (1 point)
Answer:
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the students are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So
[tex]D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1[/tex]
Total outcomes:
4 students from a set of 13(number of students in the lottery). So
[tex]T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{715} = 0.0014[/tex]
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
How do I write this equation without fractions or decimals?
2-(3/4)x=2/5
Can you guys please help!
Answer:
5 for the first and 4x for the second one also plz give heart
Step-by-step explanation:
i just know
Find the value of x. Round to the nearest tenth.
Answer:
x = 11.8
Step-by-step explanation:
Side a = 11.78983
Side b = 3
Side c = 10
Angle ∠A = 120° = 2.0944 rad = 2/3π
Angle ∠B = 12.731° = 12°43'50" = 0.22219 rad
Angle ∠C = 47.269° = 47°16'10" = 0.82501 rad
The answer for x is 11.8
helppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
This object is made with six identical cubes. Each cube edge is 5 inches long. What is the surface area of the object in square inches
Answer:
Cube
Solve for surface area
A=150in²
a Edge
5
in
A bicycle wheel makes five rotations. The bicycle travels ft. Find the diameter of the wheel in inches. Use 3.14 for .
Answer:
[tex]r=\frac{L}{2pi R}[/tex]
Diameter=2r
inches=12*ft
Step-by-step explanation:
You forgot to say how far the bike travels.
Given R rotations, L feet, and a wheel radius of r, then the relationship is
[tex]L=2\pi rR[/tex]
Solving this for r gives
[tex]r=\frac{L}{2pi R}[/tex]
Diameter=2r
inches=12*ft
find the value of x and round to the nearest tenth (geometry)
Answer and Step-by-step explanation:
Just flip the triangle upside down, to make it look more sense.
(Angle) 17
|\
x | \ 47
|__\
We will use the sine trig function to solve for x.
sin(17) = [tex]\frac{x}{47}[/tex]
Multiply by 47 to both sides.
47(sin(17)) = x
Now input into a calculator and solve.
x = 13.74147012
x ≈ 13.7 is the answer.
PLEASE ANSWER WILL GIVE BRAINLIEST
Answer:
The answer is B
Step-by-step explanation:
V=lwh
3=15·15·20
3=1500
Of 20 students, 9 are girls
% of girls
% of boys
Answer:
45% and 55%
Step-by-step explanation:
Total student = 20
No of Girls = 9
No of boys = Total student - No of Girls
=20-9
=11
Percentage of Girls = (No of Girls / Total student) * 100
= (9/20)*100
= 45 %
Percentage of Boys = (No of Boys/ Total student) * 100
= (11/20)*100
= 55 %
Find the area and perimeter. Please help!!!!!!!!!??
Answer:
325
Step-by-step explanation:
i dont know
Which circle shows AB that measures 60 degrees
Answer:
The central angle is the measure of minor arc AB. The central angle here is 60 degrees, shown by the third circle down from the top. This is the right answer.
Step-by-step explanation:https://brainly.com/question/12790519#:~:text=The%20central%20angle%20is%20the,This%20is%20the%20right%20answer.
Determine if the following function is even, odd or neither.
f(x) = 4x2 – 8x + 5
9514 1404 393
Answer:
neither
Step-by-step explanation:
A polynomial consisting of even-degree terms only is even.
A polynomial consisting of odd-degree terms only is odd.
The given f(x) polynomial has both even- and odd-degree terms, so is neither.
Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA
Answer:
Second one:
AAS
Step-by-step explanation:
searched it
Let h(t) =-16t2 + 5t + 1. What is h(1)?
Answer:
Step-by-step explanation:
Hhggggy
Pls help me I’ll give out brainliest please dont answer if you don’t know
Answer:
$8.65
Step-by-step explanation:
1.25+4.75+2.50=8.5
8.5+0.056(5.6%)=8.65
