A computer software vendor wants to estimate the number of times a computer will crash with its new operating system over the course of a year. A system administrator installs the operating system on a random sample of 34 computers. At the end of a year, the sample mean number of crashes is 5.6, with a standard deviation of 2.2. Find the confidence interval at a 90% confidence level for the mean number of crashes a computer will have with the new operating system over the course of a year.

Answers

Answer 1

Answer:

(4.9793, 6.2207)

Step-by-step explanation:

Given the data:

Sample size, n = 34

Sample mean, m = 5.6

Standard deviation, s = 2.2

Confidence interval = 90%

Using the relation :

m ± Zcritical * s/√n

Zcritical at 90% confidence interval = 1.645

Confidence interval ;

5.6 ± (1.645 * 2.2/√34)

5.6 ± 0.6206533

Lower boundary = 5.6 - 0.6206533 = 4.9793

Upper boundary = 5.6 + 0.6206533 = 6.2207


Related Questions

josh, lisa, and vicki each ate 1/4 or their own pizza. each pizza was the same size , but josh ate 1 slice, lisa ate 2 slices and vicki ate 3 slice. How is this possible.

Answers

Answer:

Josh's pizza was cut into 4 peices,Lisa's pizz was cut into 8 slices and viki's pizza was cut into 12 peices

Step-by-step explanation:

so this is possible because all of their pizza's were cut in to different amount of slices

Answer:

Step-by-step explanation:

Because Josh's pizza was in 4ths and he only ate one piece, Lisa's pizza was in 8ths and she ate two 8ths of the pizza which also equals 1/4 of a pizza, and Vicki's pizza was in 12ths and she ate three slices which equals 1/8 of a pizza and another 1/12 of the pizza, or also equals 1/4 of a pizza, so THAT is how it is possible.

24.5 x 24.5 x 3.14
plssss answer this with explanation!!!
100% will mark as brainlist!!!!!

Answers

Answer:

1884.785

Step-by-step explanation:

24.5 × 24.5=600.25

600.25 × 3.14=1884.785

Answer:

1884,785

Step-by-step explanation:

[tex]24.5 \times 24.5 \times 3.14 \\ 24.5 \times 24.5 = 600.25 \\ 600.25 \times 3.14[/tex]

[tex] = 1884.785[/tex]

If 2pounds of fruit cost $6 how much pounds of grapes will cost if for $1

Answers

Answer:
Table shown below
Step-by-step explanation:
To solve this problem let's use proportions.
If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price
For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.
Simplifying the fraction, we get 1/3 or 0.33 pounds

0.62 devided by 3 please

Answers

Answer:

0.206 and then it repeats 6 over and over again

Step-by-step explanation:

hope it helped :)

Answer:

hey there!

Step-by-step explanation:

the answer is:

0.20666666666

hope it helped and have a nice day!

Pls help urgently extra points and mark brainlist

Answers

Answer:

1/36

Step-by-step explanation:

To multiply fractions, multiply the numerators and denominators straight across and keep them in the same spots.

Answer:

I think the answer is 1/36

Step-by-step explanation:

Expression 1 is -12x + 3

Expression 2 is 10x - 15x + 96


Write an expression to represent expression 2 being subtracted from expression 1.

Answers

Answer:

-12 + 3 - (10x - 15x + 96)

Step-by-step explanation:

Marko's heart beats 72 times per minute during normal activity. It beats 65 times
per minute during sleep, and 118 times per minute when Marko is exercising.
During a 24-hour period, Marko slept from 10:00 p.m. until 5:00 a.m. and then
exercised from 5:30 a.m. to 7:30 a.m. For the remaining time he had normal
activity. During that 24-hour period, how many times did Marko's heart beat?
(times)

Answers

Answer:

105,660 times

Step-by-step explanation:

7 times 65=445 times 60=26 700

2 times 118=236 times60=14 160

15 times 72=1080 times 60=64 800

26700 plus 14 160 plus 64 800=105,660

brainliest please

Answer:

105,540 beats

Step-by-step explanation:

10:00-5:00 is 7 hours long so

60(minutes)×7=420 minutes

since his heart beats 65 times/min.

420×65=27,300 beats

5:30-7:30 is 2 hours long so

60(minutes)×2=120 minutes

120×118=14,160 beats

7 hours+2 hours=9 hours

24-9=15 hours

60×15=900 minutes

900×72 beats=64,800 beats

Add all heart beats together

27,300+14,160+64,080=105,540

Can you mark me Brainliest? Please, I need to level up.

For Oscar's birthday, his grandparents gave him a 100 dollar gift card to a local movie theater. The theater charges 12 dollars for each movie write an explicit and recursive rule for the sequence

Answers

Answer:

Move 100 to the left of a

100 a

List of all of the solutions

ax100=100a

12= 100a

5x -3x + 19 = 2x - 10​

Answers

answer :
5x - 3x + 19 = 2x - 10
5x - 3x = 2x - 29
5x - 3x - 2x = -29
0 = -29
doesn’t work

Answer: x = 7.25

Explanation:

Standard form of 2057

Answers

Answer: 2,000 + 50 + 7

Answer: 2.057 x 10^3

Step-by-step explanation:

Find the area of the Composite Shape:

Please Help! ​

Answers

Answer:

151.27 cm^2

Step-by-step explanation:

We can tell that the radius of the semicircle is 5 cm. This is because the diameter is 10 cm (16 cm - 6 cm).

Area of Circle:

A(c) = π[tex]r^{2}[/tex]/2 = π(5 cm)^2/2 = 25π cm^2/2 = 78.54 cm^2/2 = 39.27 cm^2

Area of Rectangle:

A(r) = 16 cm * 7 cm = 112 cm^2

A = A(c) + A(r) = 39.27 cm^2 + 112 cm^2 = 151.27 cm^2

3. National Discount has 260 retail outlets throughout the United States. National evaluates each potential location for a new retail outlet in part on the mean annual income of the households in the marketing area of the new location. National develops an interval estimate of the mean annual income in a potential marketing area after taking a random sample of households.For a marketing area being studied, a sample of 36 households was taken and the sample mean income was $21,100.39. Based on past experience, National Discount assumes a known value of $4500 for σ=the population income standard deviation.a. Develop a 95% confidence interval for the mean annual income of households in this marketing area. (5 point)

Answers

Answer:

(19630.39 , 22570.39)

Step-by-step explanation:

Given that:

Mean, m = 21100.39

Standard deviation, σ = 4500

Sample size, n = 36

Zcritical at 95% = 1.96

Confidence interval (C. I) :

m ± Zcritical(σ/√n)

21100.39± 1.96(4500/√36)

Lower bound :21100.39 - 1.96(750) = 19630.39

Upper bound : 21100.39+1.96(750) = 22570.39

(19630.39 , 22570.39)

i need help on this: Kyle has run 7 laps around the track. If he plans to run 15 laps, how many more laps must he run?

Answers

Answer:

eight

7+8=15

15-7=8

Step-by-step explanation:

7+8=15

15-7=8

A square sign has a height and width of 2 1/2 feet. Will the area of the sign be greater or less that 2 1/2 square

Answers

Answer:

Greater

Step-by-step explanation:

Area of the square sign = L²

L is the side length of the square

Given

L = 2 1/2 feet

Area of the sign = 2 1/2 * 2 1/2

Area of the sign = 5/2 * 5/2

Area of the sign = 25/4

Area of the sign = 8 1/4 square feet

This shows that the area of the sign will be greater than 2 1/2 square feet

please solve will mark brainliest​

Answers

Answer:

Plot A has a greater median than Plot B, but Plot B has a greater mean.

Step-by-step explanation:

hope this helps

1. If you make 8 1/5 cookies in 1/4 of an hour, how many cookies can you make in one hour? Find
the unit rate.

Answers

Answer:

32.8

Step-by-step explanation:

you divide 8 1/5 by 1/4 to find the unit rate.

A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The study was performed at the end of the school year and asked each if they had used steroids at any point in the last school year. Of the upperclassmen, 25 claimed to have used steroids in the last school year, and of the underclassmen, 19 claimed to have used steroids. Run a 95% confidence interval to test for a significant difference in the proportions of students who used steroids.

Answers

Answer:

[tex]-0.048<P_1-P_2<0.036[/tex]

Do not reject  [tex]H_0:P_1-P_2=0[/tex]

Step-by-step explanation:

From the question we are told that

Sample size [tex]n_1=350[/tex]

Sample size [tex]n_2=250[/tex]

Sample proportion 1  [tex]\hat P= \frac{25}{350} =>0.07[/tex]

Sample proportion 2 [tex]\hat P= \frac{19}{250} =>0.076[/tex]

95% confidence interval

Generally for 95% confidence level

Level of significance

 [tex]\alpha = 1-0.95=>0.05[/tex]

 [tex]\alpha /2=\frac{0.05}{2} =>0.025[/tex]

Therefore

[tex]Z_a_/_2=1.96[/tex]

Generally the equation for confidence interval between [tex]P_1 - P_2[/tex]  is mathematically given as

[tex](\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }[/tex]

[tex](0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }[/tex]

[tex](0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }[/tex]

[tex](-0.006)\pm 0.042[/tex]

[tex](-0.006)- 0.042=>-0.048[/tex]

[tex](-0.006)+ 0.042=>0.036[/tex]

Therefore

Confidence interval is

[tex]-0.048<P_1-P_2<0.036[/tex]

Conclusion

Given the confidence interval has zero

Therefore do not reject  [tex]H_0:P_1-P_2=0[/tex]

Is 0.03<0.1 correct?

Answers

Answer:

yes

Step-by-step explanation:

This is correct because 0.1 or 0.10 is greater than 0.03

Yes it is Correct, because 0.1 is bigger than 0.03. Hope that helps

Winston drew a scale drawing of a neighborhood park. A soccer field in the park is 9 inches wide in the drawing. The actual field is 63 yards wide. What scale did Winston use for the drawing?

Answers

YOUR PFP IS AMAZING!!!! w(゚Д゚)w

Btw in the drawing the width 160 inches || you have to divide the 64 yds by the 2 from the scale then multiply by 5 inches (5 in= 2 yds) then you get 160.

Help








Rjrjrhrjrjrjjrjrjrjrjrhrh

Answers

Answer:

48

Step-by-step explanation:

Apply pythagorean theorem, a² = c² - b²

Where, a = third side

b = 55

c = 73

Plug in the values

a² = 73² - 55²

a² = 2,304

a = √2,304 = 48

a = 48

Is the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a right triangle?
Is the triangle a right triangle?
Ο Νο
Yes

Answers

Answer:

We have, from distance formula.

AB² = (5-0)² + (2-6)² = 5² + 4² = 25 + 16 = 41

BC² = (0+5)² + (6+7)² = 5² + 13² = 25 + 169 =194

AC² = (5+5)² + (2+7)² = 10² + 9² = 100+81 = 181

Here, BC² ≠ AB² + AC².

So, the triangle is not a right triangle      

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

No, the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a not right triangle

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Triangle:

Vertices = A(5, 2), B(0, 6), and C(-5, -7)

The distance between the vertices A and B.

The distance between the vertices B and C.

The distance between the vertices A and C.

The distance between two points of a line is given as:

Distance =  [tex]\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]

Now,

The distance between the vertices A and B.

= [tex]\sqrt{(0 - 5)^2+(6 - 2)^2}[/tex]

= √(25 + 16)

= √(41

The distance between the vertices B and C.

= [tex]\sqrt{(-5 - 0)^2+(-7 - 6)^2}[/tex]

= √(25 + 169)

= √194

The distance between the vertices A and C.

= [tex]\sqrt{(-5 - 5)^2+(-7 - 2)^2}[/tex]

= √(25 + 81)

= √106

Applying the Pythagorean theorem.

We do not get any possible ways to prove the theorem.

194 = 41 + 106

194 ≠ 147

Thus,

No, the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a not right triangle

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2


NEED HELP FAST Will mark brainlest !!!
What is the value of x when (m o n)() = 2,
OA. -1.5
OB. 3
OC -3
OD. 0

Answers

Answer:

C

Step-by-step explanation:

We want to find the value of x such that:

[tex](m\circ n)(x)=2[/tex]

Recall that this is equivalent to:

[tex]m(n(x))=2[/tex]

Note that the outside function is m(x) and the inside function is n(x).

So, for the function to equate to 2, our input must allow the outside function to equal 2.

From the graph, we can see that m(1)=2.

Therefore n(x) must be 1.

And using the table, we can see that n(-3)=1.

So, the value of x is -3.

Checking, we see that:

[tex]m(n(x))\Rightarrow m(n(-3))=m(1)=2\checkmark[/tex]

Our answer is C.

Answer:

-3

Step-by-step explanation:

i got it right on Plato

What is the coefficient in the following equation: p - 6 = 3

Answers

Answer:

1

Step-by-step explanation:

The coefficient is the number being multiplied with the variable, since p is simply just p, it's just being multiplied by 1.

Answer:

There is no coefficient

A telephone pole breaks and falls as shown. To the nearest foot, what is the value of x, if the original height of the pole is 15 ft?

A. 10 ft
B. 9 ft
C. 7 ft
D. 5 ft

{Please help ASAP!!}

Answers

Answer:

8.66 feet or 5sqrt(3) feet

Step-by-step explanation:

If the original length of the pole was 15ft and the unbroken section is 5ft, then the broken part (diagonal) has a length of 15-5 = 10ft

Using the Pythagorean Theorem, we can calculate the length of x:

a^2+b^2=c^2

5^2+b^2=10^2

25+b^2=100

b^2=75

b=sqrt(75)

b=5sqrt(3)

b=8.66

So the value of x is 8.66ft or 5sqrt(3)ft

What is the measure of arc Q R?

26°
52°
104°
128°

Answers

Answer:

128

Step-by-step explanation:

i just took the test

Answer: D) 128

Step-by-step explanation:

solve for sin3theta​

Answers

Answer:

 sin 3 θ  = 3 sin θ  - 4 sin³θ

Step-by-step explanation:

Step(i):-

Given    sin 3 θ  

            =  sin ( 2θ + θ )

apply trigonometric formula

         sin ( A + B) = sin A cos B + cos A sin B

        sin 2 A = 2 sin A cos B

        Cos 2 A = 1 - 2 sin² A

        cos ² A - sin ² A = 1

Step(ii):-

    sin 3 θ  =     sin ( 2θ + θ )

               =  sin 2θ cosθ +  cos2θ sin θ

              = 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ

              = 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ

              = 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ

              = 2 sin θ - 2sin³θ +  sin θ- 2 sin³ θ

              = 3 sin θ  - 4 sin³θ

Final answer :-

 sin 3 θ  = 3 sin θ  - 4 sin³θ

                             

Estimate the solution to the system of equations.

y=4x-2 & y=x+3

Answers

9514 1404 393

Answer:

  (x y) = (1 2/3, 4 2/3)

Step-by-step explanation:

We're not sure the basis you're intended to use for estimating. Perhaps you're given a graph, or are intended to draw a graph. The attachment from a graphing calculator is able to tell us what the point of intersection is.

  (x, y) = (1 2/3, 4 2/3)

__

The only "estimate" we need to make is that 0.667 ≈ 2/3.

If 10 is multiplied by a number, x and the result is added to 5, this statement may be written in algebra as: A. 15 B. 5+10x. C. 20 D. 15x​

Answers

Answer:

the answer is A. 15 :))) hope i helped!!

Answer:

D 15x

Step-by-step explanation:

because you add 10+5 which is 15 and it still needs to be multiplied by x so the result is 15x and what ever x is is what it would be multiplied by

. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)

Answers

Answer:

0.15 = 15% probability that it came from Site 3

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Being recalled

Event B: Recalled from site 3.

Probability of being recalled:

5% of 60%(from site 1)

7% of 30%(from site 2)

9% of 10%(from site 3).

So

[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]

Probability of being recalled, being from site 3.

9% of 10%.

[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]

If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]

0.15 = 15% probability that it came from Site 3

Hey I need help I know how to do it i just put it on here so ppl can get points

Answers

Answer:

Step-by-step explanation:

Why?....

Answer:

:)

Step-by-step explanation:

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