A company has developed a new type of light bulb and wants to estimate its mean lifetime. A simple random sample of 100 bulbs had a sample mean lifetime of 750.2 hours with a sample standard deviation of 30 hours. Construct a 98% confidence interval for the population mean lifetime of all bulbs manufactured by this process.

Answers

Answer 1

Answer:

hh

Step-by-step explanation:

JHWKHvksdhvdsjKdsk


Related Questions

Calculate the double integral. $$\iint_{R}{\color{red}4} xye^{x^{2}y}\hspace*{3pt}dA, \quad R = [0, 1] \times [0, {\color{red}7}] $$

Answers

Answer:

[tex]\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}[/tex]

Step-by-step explanation:

Given that:

[tex]\int \int _R 4xye^{x^2 \ y} \ dA, R = [0,1]\times [0,7][/tex]

The rectangle R = [0,1] × [0,7]

R = { (x,y): x ∈ [0,1] and y ∈ [0,7] }

R = { (x,y): 0 ≤ x ≤ 1 and 0 ≤ x ≤ 7 }

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0}\int^{1}_{0} 4xye^{x^2 \ y} \ dx dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{yx^2} \dfrac{4}{2y} \end {bmatrix}^1 _ 0 \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{y1^2} \dfrac{4}{2y} - ye^{y0^2} \dfrac{4}{2y} \end {bmatrix}\ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \dfrac{4}{2}(e^y -1) \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \dfrac{4}{2}[e^y -1]^7_0 \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-(e^0 -0)][/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-1][/tex]

[tex]\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}[/tex]

Please help with question plaaseeee

Answers

Answer:

Yes it is.

Step-by-step explanation:

The graph is proportional because

it is in a straight line in the graph.

Hope this helps! <3

Find the unit rate for each of the following tables

Answers

Answer:

First table's unit rate is -1.6

Second table's unit rate is  3.5

Step-by-step explanation:

First table:

[tex]\Delta y/\Delta x =(-16--8)/(10-5)= -8/5[/tex]

and this is constant for any pair of (x, y) values of the table.

So the unit rate is: -8/5 = -1.6

Second table:

[tex]\Delta y/\Delta x =(21-7)/(6-2)=14/4=7/2[/tex]

and the rate is constant for any pair of (x, y) values of the table.

So the unit rate is: 7/2 = 3.5

With the money she had saved by working, Jennifer wanted ​

Answers

Answer:a car

Step-by-step explanation:

Which expression is equivalent to i233?

Answers

Answer:

radical sign of -233

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have to find the value of the expression i^{233}i

233

We know that the below values.

i

2

=−1

i

4

=1

Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4i

4

i^{233}=(i^4)^{58}

233

=(i

4

)

58

⋅i

Now, we know that i^4=1i

4

=1

Hence, we have

i^{233}=(1)^{58}

233

=(1)

58

⋅i

i^{233}=

233

=1⋅i

i^{233}=ii

233

=i

An ice sculpture is melting at a constant rate. Its weight changes -1 4/5 pounds every hour. What is the total change in weight of the sculpture after 3 1/2 hours

Answers

Answer:it said i was wrong and the correct answer should have been -6 3/10

Step-by-step explanation:

The total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

What is rate of change of function?

"The rate of change function is the rate at which one quantity is changing with respect to another quantity."

Given: The weight of an ice sculpture changes [tex]-1\frac{4}{5}[/tex] pounds every hour.

We need to find the total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours.

i.e., the rate of change of an ice sculpture per hour is -1 4/5 pound.

Total change in weight of the sculpture after t hours

= change in the weight of the sculpture per hour × t

= [tex](-1\frac{4}{5}) \times (3\frac{1}{2} )[/tex]

= [tex](-\frac{9}{5} ) \times (\frac{7}{2} )[/tex]

= [tex]-\frac{63}{10}[/tex]

= [tex]\bold{-6\frac{3}{10}}[/tex] pounds

Therefore, the total change in weight of the sculpture after 3 1/2 hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

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!!!TIME LIMIT PLZ HURRY!!!Which describes the relationship between <1 and <2?

Answers

Answer:

adjacent

Step-by-step explanation:

this just means they are next to each other, like they share a ray

Answer:

they are adjacent

Step-by-step explanation:

Adjacent means they are next to each other; and both these angles are right beside each other


What is the least common denominator of 2/3, 1/6 and 11/12

Answers

Answer:

2/3 = 8/12

1/6 = 2/12

11/12 = 11/12

What is the ratio of 20 praise and 2000 rupees

Answers

1:100 because 20 divide by 20=1 and 2000 divide by 20 =100

Answer:

1 rupee=100 paisa

so, 20 paisa:2000 rupees

=>20 paisa:2000×100

=>1:10000.

What is the solution R-7=1?? Thank

Answers

Answer: R=8

Step-by-step explanation: R-7=1, R+7=1+7, R=8.

the missing number in the series?
4, 18, ?, 100, 180, 294, 448
A) 48
B) 50
C) 58
D) 60

Answers

A)48

Explanation:

2^3 - 2^2 = 8 - 4 = 4
3^3 - 3^2 = 27 - 9 = 18
4^3 - 4^2 = 64 - 16 = 48
5^3 - 5^2 = 125 - 25 = 100
6^3 - 6^2 = 216 - 36 = 180
7^3 - 7^2 = 343 - 49 = 294
8^3 - 8^2 = 512 - 64 = 448

what is 2/16 as a decimal

Answers

2/16 as a decimal is 0.125

n= 9c-80 solve for c. if n= 19 what is the value of c?

Answers

Answer:

Step-by-step explanation:

n = 9c - 80

n = 19

19 = 9c - 80

-9c = -80 - 19

-9c = -99

c = 99 / 9

c = 11

Hope this helps

plz mark as brainliest!!!!!!

Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.

Answers

Answer:

18 weeks

Step-by-step explanation:im gay

An object is moving at a speed of 6 miles per month. Express this speed in feet per hour.

Answers

Answer:

44 ft/hr

Step-by-step explanation:

First, we convert miles to feet.

6 mi*5280 = 31680 feet

Now we convert a month to hours. For this question, lets say that a month is equal to 30 days.

30*24 hrs = 720 hrs

Now we have this speed -

31680 ft/720 hrs

Now we simplify this to -

44 ft/hr

So in conclusion, the speed of 6 miles per month is equivalent to the speed of 44 feet per hour.

help im confused..........

Answers

Answer:

rvefncoqjefadsNofvewnvfeeljjnfvqe

Step-by-step explanation:

fdcopjsfddcaxjefwpojdsjandipewhhqdaspcixpjewfs;odkcnewoasjjncikkjasn;kcjnnsixjfiasxhcjnsdaxo[okckiefihihehabficphbkjckd khksdk a help me

Answer:

lol im confused aswell

Step-by-step explanation:

how to simplify 2a³ × a⁴​

Answers

Add the exponents since it’s multiplication, so it would be 2a^7, hope this helps

Answer:

2a⁷

Step-by-step explanation:

you have to add 3 to 4

Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable

Answers

Answer:

The input of the function

Step-by-step explanation:

In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is .75, the same as the overall proportion of complaints settled in 2008
a. Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of .
b. Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
c. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of .
d. Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (b)?

Answers

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 [tex]\mu_{\hat p}= p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

 [tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

(a)

The sample selected is of size n = 450 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

[tex]\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204[/tex]

So, the sampling distribution of sample proportion is [tex]\hat p\sim N(0.75,0.0204^{2})[/tex].

(b)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.0204}<\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.04}{0.0204})[/tex]

                                          [tex]=P(-1.96<Z<196)\\=P(Z<1.96)-P(Z<-1.96)\\=0.975-0.025\\=0.95[/tex]

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.

(c)

The sample selected is of size n = 200 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

[tex]\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306[/tex]

So, the sampling distribution of sample proportion is [tex]\hat p\sim N(0.75,0.0306^{2})[/tex].

(d)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.0306}<\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.04}{0.0306})[/tex]

                                          [tex]=P(-1.31<Z<196)\\=P(Z<1.31)-P(Z<-1.96)\\=0.9049-0.0951\\=0.8098\\\approx 0.81[/tex]

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.

(e)

The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.

And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.

So, there is a gain in precision on increasing the sample size.

Write the product using exponents.
(-4).(-4).(-4).y.y

Answers

The product would be -64y^2

Answer:

(-4)^3 * y^2

Step-by-step explanation:

hope it helps.

What is 11/9 as a decimal?

Answers

1.2

hope this helped:))

you could put a - over the 2 to show it continues because it’s 1.22222222 and so on

The question I need help in is the middle one. PLEASE I NEED ANDWER ASAP!

Answers

Answer:

3.25

Step-by-step explanation:

I plugged in 5 for x and got 3.25 when I solved

This need help jxb...

Answers

2x, the second answer because the y intercept is 0 and it goes up 2 over 1!!

Answer:

That would be y = 2x.

Determine the ordered pair that satisfies the equation, -5x - 6y = -8.

Answers

Answer:

-2&-4

Step-by-step explanation:

-5x-6y=-8

it is a quadratic equation:

-5x-6y+8=0

(x-2)(x-4)

cross multiple and you'll get

-5x-6y+8=0

I don't know if you want to solve for x or y so I'm gonna do both.

Answer: x=-6/5y+8/5; y=-5/6x+4/3

Explanation: -5x-6y=-8 start by answering for x by adding it to both sides, -6y=-8+5x then add 8 to both sides, -6y+8=5x then divide 5 from both sides x=-6/5y+8/5. Now lets solve for y -5x-6y=-8 add 6y to both sides, -5x=-8+6y then add 8 to both sides, -5x+8=6y, then divide 6 from both sides -5/6x+8/6=y then simplify 8/6 into 4/3 and rewrite the equation y=-5/6x+4/3

Find the area of the circle look no

Answers

Area of a complete circle is area = pi x r ^2

Area = 3.14 x 4^2

Area = 3.14 x 16

Area = 50.24 square units.

1/4 of the circle is missing, so multiply the area of the full circle by 3/4:

50.24 x 0.75 = 37.68 cubic units.


I need help with 15-19 plz

Answers

Here,

g (x) = -3x + 1

then ,

g(10) = -3 (10) + 1

= -30 +1

= - 29

Again,

g(-6) = -3 (-6) + 1

= 18 + 1

= 19

Complected *******

Thank me later.

help please !!!!!!!!!!!!!

Answers

Answer:

f(4)= -10

If g(x) =2, then x=0

Step-by-step explanation:

Tabithas living room is rectangle that measures 19 3/4ft by 12ft find the perimeter and the area of the room

Answers

Answer:

237ft²

63.5ft

Step-by-step explanation:

Given parameters:

  Length  = 19[tex]\frac{3}{4}[/tex] ft

   Width  = 12ft

Unknown:

Area of rectangle  = ?

Perimeter of rectangle  = ?

Solution:

Area of rectangle  = length x width

                              = 19[tex]\frac{3}{4}[/tex] x 12

                               = [tex]\frac{79}{4}[/tex] x 12

                               = 79 x 3

                              = 237ft²

Perimeter of rectangle  = 2(length + width)

                                      = 2 (19.75 + 12 )

                                     = 63.5ft

what is the value of x,if x=9-9/4​

Answers

Answer:

X=6 3/4

Step-by-step explanation:

IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS

Let z = 9 – 2i and zw = 25 + 70i.

What is w?

1 + 8i
1 – 8i
–1 + 8i
–1 – 8i

Answers

Answer:

1+8i

Step-by-step explanation:

Given, complex numbers z = 9 – 2i and zw = 25 + 70i. w = 1 + 8i.

What are complex numbers?

In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit, and satisfying the equation i² = −1.

= (9 - 2i)(1 + 8i)

= 9 + 72i - 2i -16i^2

= 9 + 70i + 16  (i^2 = -1)

= 25 + 70i

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