Answer:
Answer and Explanation:
We have:
Population mean,
μ
=
3
,
000
hours
Population standard deviation,
σ
=
696
hours
Sample size,
n
=
36
1) The standard deviation of the sampling distribution:
σ
¯
x
=
σ
√
n
=
696
√
36
=
116
2) As per the central limit theorem, the expected value of the sampling distribution is equal to the population mean.
Therefore:
The expected value of the sampling distribution is equal to the population mean,
μ
¯
x
=
μ
=
3
,
000
The standard deviation of the sampling distribution,
σ
¯
x
=
116
The shape of the sampling distribution of
¯
x
is approximately normal. As the sample size is more than
30
.
3) The probability that the average life in the sample will be between
2670.56
and
2809.76
hours:
P
(
2670.56
<
x
<
2809.76
)
=
P
(
2670.56
−
3000
116
<
z
<
2809.76
−
3000
116
)
=
P
(
−
2.84
<
z
<
−
1.64
)
=
P
(
z
<
−
1.64
)
−
P
(
z
<
−
2.84
)
=
0.0482
Using Excel: =NORMSDIST(-1.64)-NORMSDIST(-2.84)
4) The probability that the average life in the sample will be greater than
3219.24
hours:
P
(
x
>
3219.24
)
=
P
(
z
>
3219.24
−
3000
116
)
=
P
(
z
>
1.89
)
=
0.0294
Using Excel: =NORMSDIST(-1.89)
5) The probability that the average life in the sample will be less than
3180.96
hours:
P
(
x
<
3180.96
)
=
P
(
z
<
3180.96
−
3000
116
)
=
P
(
z
<
1.56
)
=
0.9406
The expected value, standard deviation, and shape of the sampling distribution of will be 116.
What is Standard deviation?Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.
And, A simple random sample of 36 bulbs is taken.
Now,
Since, The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.
And, A simple random sample of 36 bulbs is taken.
Hence, The expected value, standard deviation, and shape of the sampling distribution of is,
⇒ Standard error = 696 / √ 36
= 696 / 6
= 116
Thus, The expected value, standard deviation, and shape of the sampling distribution of = 116.
Learn more about the standard deviation visit:
https://brainly.com/question/475676
#SPJ5
Based on the position vs. time graph, which velocity vs. time graph would correspond to the data? A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.
Answer:
C or the graph with continuous acceleration (straight line)
Step-by-step explanation:
It's the right answer on edguinity
Answer:
c
Step-by-step explanation:
What is 3,350,000 in scientific notation?
Answer:
10^4 or 3.5
Step-by-step explanation:
APQR is an equilateral triangle. One side measures 5x - 7 and another side 3x + 11. Find the length of each
side.
Step-by-step explanation:
x=9
therefore,
each sides length is 9
5x-7=3x+11
=5x-3x=7+11
=2x=18
=x=9
A patient has been ordered Oxycodone 10mg Q6H PO for 5 days. How many 10mg tablets should be dispensed?
Answer:20 tablets
Step-by-step explanation:
Asked my MD father.
Find the percent increase from the first number to the second in the following pairs.
A. 100, 140
B. 80, 125
C. 60, 80
D. 9,1
Will somebody help real fast I will give brain??
Answer:
the aswer is A
Step-by-step explanation:
Answer:
D. -4,1,7,15
Step-by-step explanation:
Range is the y axis
Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade
Answer:
9
Step-by-step explanation:
12 / 4 = 3
3 x 3 = 9
Help me and also show steps thanks will mark brainliest.
a pice of land was sold for rs. 1,20,000 a broker who recived 1.5% of commision. THe broker gets amount of Rs.____
Answer:
If you meant rs.1,200,000 then the answer would be rs.18,000
If you meant rs.120,000 then the answer would be rs.1,800
Step-by-step explanation:
Please mark B R A I N L I E S T
Which expression is equivalent to sqrt(80)?
Answer:
b on edg
Step-by-step explanation:
second part
a=4
b=5
A figure has vertices at K(5, 5), L(5, 3) , and M(1, 1) . After a rotation 90°CCW around point (0, 1) , what are the coordinates of K
Answer:
(-5,5)
Step-by-step explanation:
What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?
Answer:
Step-by-step explanation:
N sei
9. Which of the following equations has NO solution?
A. a + 2 = a + 2
B. a = -a + 2
C. a + 2 = a - 2
D. a + a = 2
Answer:
C. a +2 = a - 2
Step-by-step explanation:
a + 2 = a - 2
a + 4 = a
4 = 0
All of the following are terminating decimals except _____.
We would have to divide every single one of these fractions to find out if they were terminating decimal. 2/5 = 2divided by 5 = 0.4 as you can see no many other repeating numbers after the decimal. We don't have to do the rest since we now know the answer is 2/5.
126×(−55)+126×5 STEP explanation
Question 1 of 5 Find the difference. (12m + 1) - (5m - 4) O A. 7m + 5 O B. 17m-3 O C. 17m+ 5 D. 7 m - 3
Answer: 7m + 5
Step-by-step explanation:
Distribute the Negative Sign:
=12m+1+−1(5m−4)
=12m+1+−1(5m)+(−1)(−4)
=12m+1+−5m+4
Combine Like Terms:
=12m+1+−5m+4
=(12m+−5m)+(1+4)
=7m+5
a) Show that x² - 8x + 20 can be written in the form (x - a)² + a where a is an integer.
b) Hence explain how you know that x² - 8x + 20 is always positive.
I have worked out the first bit of the question and the answer is:
x²-8x+20
x²-8x+16-16+20
(x-4)²+4
(x-a)²+a
a= 4
I just need help with part b and I'm struggling to do it. Please help.
Answer:
Step-by-step explanation:
b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.
You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive
7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles
1. Let f(1) = 722 – 5x + 3 and g(1) = 22² + 45 – 6.7x2-5x+3
Part A: Find f (x) + g(x)|
Part B: Find f (a) - g()
Part C: Find g(a) - f(x)
GICI
Answer:
The correct answer is B
A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle
will mark brainliest asap.
answer choices
Yes, it is a right triangle because 72 + 52 = 82.
No, it is not a right triangle because 72 + 52
≠
82.
Yes, it is a right triangle because 72 + 52
≠
82.
No, it is not a right triangle because 72 + 52 = 82.
Answer:
Step-by-step explanation:
O=0O
KO[K]
(I need help quick this assignment is due today)what is 421.53 in expanded form? I will give you 11 points.
Answer:
Expanded Notation Form:
421.53 =
400
+ 20
+ 1
+ 0.5
+ 0.03
Expanded Factors Form:
421.53 =
4 × 100
+ 2 × 10
+ 1 × 1
+ 5 × 0.1
+ 3 × 0.01
Expanded Exponential Form:
421.53 =
4 × 102
+ 2 × 101
+ 1 × 100
+ 5 × 10-1
+ 3 × 10-2
Word Form:
421.53 =
four hundred twenty-one and fifty-three hundredths
Step-by-step explanation:
Answer:
Step-by-step explanation:
400
+ 20
+ 1
+ 0.5
+ 0.03
What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125
Answer:
-125
Step-by-step explanation:
A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys 4 of these units. What is the probability of the restaurant buying at least 3 nondefective units? The probability of the restaurant buying at least 3 nondefective units is
Answer:
91%
Step-by-step explanation:
we can use combinations:
Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495
Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210
Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240
Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%
my favorite snack after a long day at school
Answer:
My dog
Step-by-step explanation:
Answer:
cheese doodles is it.
Also subscribe to Random Topics trending in youtub.
Step-by-step explanation:
Find log1/4 rounded to the nearest hundredth.
Answer:
-log_4
Step-by-step explanation:
The value of log1/4 rounded to the nearest hundredth is -0.60
Given the parameter which is needed for our Calculation:
log1/4Using a calculator, the value of log1/4 is -0.602059
Rounding to the nearest hundredth, is two digits after the decimal point.
Hence, we have ;
-0.60 (since the value after 0 is less than 5)Therefore, log1/4 is -0.60
Learn more on logarithm :https://brainly.com/question/30226560
#SPJ2
1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment
of $25 per month. What is the rate of change, including units ?
Given:
Charlie bought a new computer for $450 with his credit card.
He plans to pay the minimum payment of $25 per month.
To find:
The rate of change.
Solution:
Let y be the remaining amount of loan after x months.
Initial amount of loan = $450
Payment of one month = $25
Payment of x months = $25x
Now,
Remining amount = Initial amount of loan - Payment of x months
[tex]y=450-25x[/tex] ...(i)
The slope intercept form is
[tex]y=mx+b[/tex] ...(ii)
where, m is slope and b is y-intercept.
From (i) and (ii), we get
[tex]m=-25[/tex]
Therefore, the rate of change is -25 dollars.
Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?
Answer:
478miles
Step-by-step explanation:
32=1gallons 32×15 = 510miles
15g
510- 32= 478miles
The sum of 4 thirteens and 16 thirteens, need answer ASAP :(
Answer:
260?
Step-by-step explanation:
I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.
The sum of 4 thirteens and 16 thirteens is 260.
What is the meaning of sum?
You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.
Here, 4 thirteens = 4 × 13 = 52
16 thirteens = 16 × 13 = 208
Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260
Hence, 260 is the correct answer.
Learn more about sum from the link.
https://brainly.com/question/24205483
#SPJ2
What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?
i included pictures please help it closes in 30 minutes pls give exact answers
Answer:
For the first part
1.) Negative
2.)zero
3.) undefined
4.) positive
The point slope formula is y-y1=m(x-x1). It is best to use if you already know the slope and one other point on the line. It is used to find another point on the line.
The slope-intercept form is used to show a line. To use this form, you need to know the slope and the y-intercept.
The slope formula is y=mx+b. M is the slope while b is the y-intercept.
what is the measure of the larger angle in this degree?