A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results.

Sample Service Life (hours)
1 495 500 505 500
2 525 515 505 515
3 470 480 460 470

1. What is the sample mean service life for sample 2?

a. 460 hours
b. 495 hours
c. 515 hours
d. 525 hours

2. What is the mean of the sampling distribution of sample means for whenever service life is in control?

a. 250 hours
b. 470 hours
c. 495 hours
d. 500 hours
e. 515 hours

Answers

Answer 1

Answer:

1. c. 515 hours

2.  c. 495 hours

Step-by-step explanation:

Sample mean:

Sum of all values in the sample divided by the number of values.

1. What is the sample mean service life for sample 2?

Sample 2 has four values, which are:

525 515 505 515

So

[tex]M = \frac{525+515+505+515}{4} = 515[/tex]

The answer is given by option C.

2. What is the mean of the sampling distribution of sample means for whenever service life is in control?

3 samples, 12 total values. We find the mean of all these values. So

[tex]M = \frac{495+500+505+500+525+515+505+515+470+480+460+470}{12} = 495[/tex]

The answer is given by option C.


Related Questions

how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches

Answers

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use by the household.​ (No two respondents were from the same​ household.) Among the​ respondents, answered​ "none," said​ "one," said​ "two," said​ "three," and responded with four or more. A survey respondent is selected at random. Find the probability that​ his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in​ use? Consider an event to be unlikely if its probability is less than or equal to 0.05.
​P(four or more cell ​phones)
​(Round to three decimal places as​ needed.)

Answers

Consider an event to be unlikely if its probability is less than or equal to 0.05.
204+287+376+137+130=1134

130/1134= .115


No​, because the probability of a respondent with four or more cell phones in use is greater than 0.05.

Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9

Answers

Answer:

I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)

please help me

( - 3 ) ( a + x ) , if a + 8, x = - 10

Answers

Answer:

6

Step-by-step explanation:

-3 x (8 + [-10]) =

-3 x (8 - 10) =

-3 x -2 =

6

HOpe that helps!

Answer: 6

Step-by-step explanation:

finding the answer from an equation

replace the values of x and a in the equation:

(-3) * ( 8 + -10)

= (-3) * (-2)

recall :

(-) * (-) = +

hence -3 * -2

= 6

Hope this helps. Can u pls give me brainliest

what is x +4z-5-3x, when x=2 and z=3x?

Answers

Answer:

15

Step-by-step explanation:

x=2,z=6

2+6(4)-5-3(2)

2+24-5-6

26-11

15

Given : -

x = 2 & z = 3x

Solution : -

⇒x + 4z - 5 - 3x

⇒(2) + 4(6) - 5 - 3(2)

⇒2 + 24 - 5 - 6

⇒26 - 11

⇒15

A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

if the slope is 0, it is horizontal. and remember, m is the slope. (0)

Step-by-step explanation:

x is 9, y is 5.

slope intercept form is y=mx+b, so you plug in the numbers.

5= 0*9+5

or, 5=5

what is the value of x when h(x) x-3

Answers

Answer:

-1

Step-by-step explanation:

I did it in my review

Answer:
x= -3/h

hope this helps :)

what is the volume of a rectangular prism wi the the dimensions3 base 5/8 cm, height 2/3 cm, and length 3/4 cm?

Answers

Answer:

5/16 cm³

Step-by-step explanation:

Given that the:

Width (W) = 5/8 cmHeight (H) = 2/3 cmLength (L) = 3/4 cm

Find the volume of the cuboid!

Volume equation =

W × H × L =

5/8 × 2/3 × 3/4 =

(5×2×3)/(8×3×4) =

30/96 =

5/16 cm³

The volume = 5/16 cubic centimetres

____________________

#IndonesianPride - kexcvi

solving a system of linear equations algebraically:

Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25

answer choices:
x=1

x=1.78

x=3

x=5.33

Answers

It was so easy xD

its x=1

y=12×1+7

y=-6×1+25

=19

100
400 people were surveyed
about their eye color. 8% of
the people surveyed have
green eyes. How many
people had green eyes?

Answers

Answer:

32 people

Step-by-step explanation:     If there are 400 people and there is 8% of that, then first convert 8% to a decimal so its easier to work with. The multiply with 400:

0.08 * 400 = 32

Answer: 32 people have green eyes

32 people have green eyes

Arrange the steps in the correct order to prove the theorem "If A and B are sets, A is uncountable, and A ⊆ B, then B is uncountable." Rank the options below.

a. Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.
b. Thus B is not countable.
c. The elements of B can be listed as b1, b2, b3
d. Therefore A is countable, contradicting the hypothesis.

Answers

Answer:

Step-by-step explanation:

We are to rank the options given in the question to correctly prove the theorem that: "If A & B are set, and A is a subset of B"

To arrange the steps in the correct order, we have:

(a) Assume that B is countable

(b) The elements of B can be listed as b1, b2, b3

(c) Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.

(d) Therefore A is countable, contradicting the hypothesis.

(e)  Thus B is not countable

Find the mean, median, mode, and range of the following data set.

15, 12, 19, 15, 16, 13, 15.

Mean:

Median:

Mode:

Range:

Answers

12 13 15 15 15 16 19

mean: 15

median: 15

mode: 15

range: 7

Answer:

12, 13, 15, 15, 15, 16, 19

Step-by-step explanation:

Mean: 15

Median: 15

Mode: 15

Range: 7


What is the resulting cross section if the cheesecake was sliced parallel to its points?

Answers

Answer:

Step-by-step explanation:

??What is parallel to a point?

If the cut is parallel to the cut-off point, the cross-section is a rectangle.

If the radius is 8m, what is the diameter​

Answers

Answer:

16m

Step-by-step explanation:

radius is half of diameter​

A dress is on sale for 35\% off of the regular price.

If d represents the regular price of the dress, which expression represents the sale price of the dress?


A.
0.35d

B.
0.65d

C.
1.35d

D.
1.65d

PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.

The sale price of the dress is $
.

Answers

Answer:

Expression that represents the sale price of the wedding dress is  

Solution:

Given that, the dress is on sale for 35 % off the regular price

Let the regular price of dress be "w"

To find: Expression that represents the sale price of the wedding dress

Let "s" be the sale price of wedding dress

Sale price = Regular price - discount price

Discount price is given as:

Discount price = 35 % of regular price

Discount price = 35 % of w  

Thus discount price = 0.35w

Expression for the sale price of the wedding dress:

Sale price = Regular price - discount price

s = w - 0.35

s = 0.65

s= 0.65

Thus expression that represents the sale price of the wedding dress is

s=0.56

Mrs jones uses 1/2 of a block of cheese to make packed lunches each day. how many days will 3 blocks of cheese last for?​

Answers

Answer:

6 days

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

1 day=1/2

2 day=1

3 day=1 and 1/2

4 day=2

5 day=2 and 1/2

6 day=3

hope this helps :)

HELP WILL GIBE BRAINLIEST.
HOW MUCH IS IT FOR 1

Answers

Answer:

small is 0.018

medium is 0.016

large is 0.010

There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.

probability of two bananas
p( two bananas )​

Answers

Pretty low, it’s exactly 0.175

Create a probability model for the outcome of flipping a coin 3 times. what is the probability of landing on heads at least once
a. 2/3
b. 1/2
c. 7/8
d. 1/8

Answers

Answer:

it is A.2/3

Step-by-step explanation:

Math Which expressions represent 9 divided by the sum of 1 and 2? Check all that are true. 09/(1+2) 9+1+2 I (9 - 1) + 2 (1 + 2) = 9 09+ (1 + 2)​

Answers

Answer: 9/(1+2)

Hope it helps :)

Which expression is equivalent to 4(-2c) - c

-6c

8c - 1

-9c

7c + 1
I'm not good at this stuff -_-

Answers

Answer:

none of those?

Step-by-step explanation:

4(-2c) = -8c

Answer:    -9c

Step-by-step explanation:

4(-2c) - c

= -8c - c

= -9c  

-9c is the answer

PLEASE HELP WILL MARK BRAINLIST

Answers

Answer:

the answer for question 2 is (D)

Can someone help me plzzzz with this math question!!!!!! “Buy one, get one free” special at T-Mobile for an iPhone 12. The cost is $1150. Calculate what you are actually paying for each item since you are getting two for one price. What is the sale price of each phone?

Answers

Answer:

$575

Step-by-step explanation

1150/2 = 575

Answer:

$1150

Step-by-step explanation:

because it is a buy one (for sale price), get one free

A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution : X~Exp (0.2)
Find the quartile 3. Round to the nearest tenth.

Answers

Answer:

The quartile 3 is 0.3

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

X~Exp (0.2)

This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]

Find the quartile 3.

The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]

Since

[tex]P(X > x) = e^{-\mu x}[/tex]

[tex]e^{-5x} = 0.25[/tex]

[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]

[tex]-5x = \ln{0.25}[/tex]

[tex]x = -\frac{\ln{0.25}}{5}[/tex]

[tex]x = 0.277[/tex]

Rounding to the nearest tenth, the quartile 3 is 0.3.

consider the absolute value functions c and d





which statement correctly describes these functions?
A.The maximum value of d is 5 less than the minimum value of c

B. The maximum value of d is 3 less than the maximum value of c.

C.The minimum value of d is 5 more than the maximum of c

D. The minimum value of d is 3 more than the maximum of value c.

Answers

B hopefully, the maximum was always less

Ryan earns $20 for every lawn that he mows.
Which set of ordered pairs represents the relationship between the number
of lawns Ryan mows and the money he earns?
Oa. (20,1),(40,2), (60, 3) Ob.(1, 20), (2, 40), (3, 60)
Oc. (0,20), (1, 40), (2, 60) Od. (1, 20), (2, 30), (3, 40)

Answers

Answer:

A is the correct answer

Answer:

B

Step-by-step explanation:

The first number should represent the lawns, and the second should represent the money he makes on each lawn.

A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.

C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.

D is wrong because it is counting the price up by ten instead of adding 20.

B is right because every lawn is 20 more dollars, and that is what is shown.  

What is the slope of a line perpendicular to a line that contains the points (-8,-4) and (0,-8)

Answers

Answer:

I hope some of these help (examples)

Step-by-step explanation:

Line AB contains points A (1, 2) and B (−2, 6) The slope of line AB is

a)zero

b)undefined

c)positive

d)negative

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is

Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are

The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).

The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are

parallel because the product of the slopes is −1

perpendicular because the product of the slopes is −1

parallel because the slopes are the same

perpendicular because the slopes are the same

Question 2

(06.02 LC)

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

1 over 2

2

negative 1 over 2

−2

Question 3

(06.02 LC)

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is

zero

undefined

positive

negative

Question 4

(06.02 MC)

The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6).

y = 2x + 16

y = negative 1 over 2x + 17 over 2

y = − 1 over 2x + 7 over 2

y = 2x − 4

Question 5

(06.02 MC)

The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

y = −2x + 13

y = negative 1 over 2x + 7

y = 1 over 2x + 3

y = − 2x − 3

On the first question, the formula would be  m=\frac{y2-y1}{x2-x1} and the value we got is -4/3, so D.

On the second quesiton, the slope in the given equation of the line is -2, its negative reciprocal is 1/2, so A.

On the third question, use the slope formula above and the value you would get is zero, so A.

On the fourth question, the equation of the line perpendicular to line QR is y=2x+b, to find b, just substitute the point (5,6) to the equation. That would make b = -4. the final equation of the line would be: y=2x-4, so D.

On the fifth question, the equation of the line parallel to line QR is y = -2x + b. substitute the point (4,5) to the equation, and you'll get b = 13. the final equation of the line would be y=-2x+13, so A.

D,A,A,D,A

1) Determine the slope of the line that is perpendicular to the equation below.

y = -3x + 4

Type your answer as a reduced fraction, if necessary, like this: 3/4

2) Which line is parallel to the line with this equation?

3x – 4y = 24

A) 8y-6x=32

B) 3x-5y=25

C) y=-3/4x -6

D) y+3 = 3(x-4)

3) Determine which equation is in slope-intercept form for the line that passes through (5, 0) and is perpendicular to the line below.

y = -5/2x + 6

A) y=-2/5x - 2

B) y=5/2x+2

C) y=5/2x-2

D) y=2/5x-2

4) Line 1 contains the points (6, -5) and (2, 7). Which of the given pairs of coordinates could be contained by Line 2 if Line 1 is parallel to Line 2?

HINT: Remember that two parallel lines share NO points.

A) (2,7) and (11,10)

B) (6,-5) and (-1, 3)

C) (9,8) and (6, 9)

D) (5,6) and (9, -6)

5) What value should replace the "?" to make the equations parallel?

Type your answer as a reduced fraction, using the "/" symbol to separate the numerator and denominator, like this: 2/5

y=5/3 x - 8

y=? x + 9

6)Determine whether the pair of lines is parallel, perpendicular, or neither.

y = 7x and y – 28 = 7(x – 4)

A) parallel

B) perpendicular

C) Neither

1) m=-2

2) C) y=-3/4x -6

3) D) y=2/5x-2

I hope this helps:)

What is the volume of of a rectangular prism with the following measurements:

Length: 3 yd
Width: 1/2 yd
Length: 1/2 yd

A 3/4 yd cubed
B 2/3 yd. cubed
C 6/2 yd. cubed
D 6/8 yd. cubed

I will give brainleast

Answers

Answer:

b

Step-by-step explanation:

Write 5x – 4y = 10 in slope-intercept form

Answers

y=5/4x + 5/2 hope this helped

Andre and Elena knew that after 28 days they would have 228 coins, but they wanted to find out how many coins that actually is. Andre wrote:
228=2⋅28=56
Elena said, “No, exponents mean repeated multiplication. It should be 28⋅28, which works out to be 784.” Do you agree with either of them? Explain your reasoning.

Answers

Answer:

no, exponents are how many times the base is used, it would be 2x2x2... so on until there are 28 2s

Step-by-step explanation:

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