The manager of a computer retail store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.5 years and a standard deviation of 0.4 years. He then randomly selects records on 45 laptops sold in the past and finds that the mean replacement time is 4.4 years. Assuming that the laptop replacment times have a mean of 4.5 years and a standard deviation of 0.4 years, find the probability that 45 randomly selected laptops will have a mean replacment time of 4.4 years or less.

Answer:

(A)6 kilometers

Step-by-step explanation:

First, we determine the value of a using Pythagoras Theorem.

[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km[/tex]

Therefore:

Distance along the long route = 8 + 15 =23 km

Distance along the shortcut =17 km

Difference =23-17 =6km

Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.

Answer:

a

Step-by-step explanation:

on edge

Answer:

22.62°

Step-by-step explanation:

tan x = 5/12

tan x = 0.416666667

x = arctan(0.416666667)

x = 22.61986983

x = 22.62°

Answer:

There are 0.01 meters in a centimeter.

Step-by-step explanation:

cent means 100th

Hope this helps :)

Answer:

50%

Step-by-step explanation:

There are 3 numbers that fit this rule, 4, 5, and 6. Since there are 6 number total, and 3 fit the rule, there is a 3/6 chance or 50% or rolling either of those numbers.

Answer:

50%

Step-by-step explanation:

The numbers that are 5 or greater than 3 on a dice are 4, 5, and 6.

3 numbers out of 6.

3/6 = 1/2

Convert to percentage.

1/2 × 100

= 50%

P(5 or greater than 3) = 50%

Answer:

a) 0.0498

b) 0.1489

c) 0.1818

Step-by-step explanation:

Given:

Number of telephones = 6+6+6= 18

6 cellular, 6 cordless, and 6 corded.

a) Probability that all the cordless phones are among the first twelve to be serviced:

12 are selected from 18 telephones, possible number of ways of selection = ¹⁸C₁₂

Then 6 cordless telephones are serviced, the remaining telephones are: 12 - 6 = 6.

The possible ways of selecting thr remaining 6 telephones = ¹²C₆

Probability of servicing all cordless phones among the first twelve:

= (⁶C₆) (⁶C₁₂) / (¹⁸C₁₂)

[tex] = \frac{1 * 924}{18564} [/tex]

[tex] = 0.0498 [/tex]

b) Probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced:

Here,

One type must be serviced first

The 6 remaining to be serviced can be a combination of the remaining two types.

Since there a 3 ways to select one type to be serviced, the probability will be:

= 3 [(⁶C₁)(⁶C₅) + (⁶C₂)(⁶C₄) + (⁶C₃)(⁶C₃) + (⁶C₄)(⁶C₂) + (⁶C₅)(⁶C₁)] / ¹⁸C₁₂

[tex] = \frac{3 * [(6)(6) + (15)(15) + (20)(20) + (15)(15) + (6)(6)]}{18564}[/tex]

[tex] = \frac{2766}{18564} [/tex]

[tex] = 0.1489 [/tex]

c) probability that two phones of each type are among the first six:

(⁶C₂)³/¹⁸C₆

[tex] \frac{3375}{18564}[/tex]

[tex] =0.1818 [/tex]

Answer:

P = 0.5

Step-by-step explanation:

Let's call A the event that the second card is red suit and B the event that the second card is a heart.

So, the probability that the second card is a heart given that is a red suit is calculated as:

P(B/A) = P(A∩B)/P(A)

Additionally, the probability P(A∩B) that the second card is a red suit and is a heart is equal to the probability P(B) that the second card is a heart. So,

P(B/A) = P(B)/P(A)

Then, P(A) is equal to 0.5 because half of the cards are red cards and P(B) is equal to 0.25 because a quarter of the cards are red. Finally, P(B/A) is equal to:

P(B/A) = 0.25/0.5 = 0.5

Answer:

a) 3 kilograms

b) 5.7 kilograms

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 3.89, \sigma = 0.68[/tex]

We have to find X for both values of Z.

a) z = -1.35

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.35 = \frac{X - 3.89}{0.68}[/tex]

[tex]X - 3.89 = -1.35*0.68[/tex]

[tex]X = 3[/tex]

3 kilograms

b) z = 2.64

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.64 = \frac{X - 3.89}{0.68}[/tex]

[tex]X - 3.89 = 2.64*0.68[/tex]

[tex]X = 5.7[/tex]

5.7 kilograms

x+-2*2-3x-7

x+4-3x-7

x+1.x-7

x.x-7

2x-7

Answer:

Step-by-step explanation:

[tex]\sqrt{-16}=\sqrt{16i^{2}}\\\\ =\sqrt{4^{2}*i^{2}}\\\\=4i[/tex]

Answer:

The two numbers of rolls are 25.2 and 46.8.

Step-by-step explanation:

The Chebyshev's theorem states that, if X is a r.v. with mean µ and standard deviation σ, then for any positive number k, we have  

[tex]P (|X -\mu| < k\sigma) \geq (1-\frac{1}{k^{2}})[/tex]

Here

[tex](1-\frac{1}{k^{2}})=0.75\\\\\Rightarrow \frac{1}{k^{2}}=0.25\\\\\Rightarrow k=\sqrt{\frac{1}{0.25}}\\\\\Rightarrow k=2[/tex]

Then we know that,

[tex]|X - \mu| \geq k\sigma,\\\\ \Rightarrow \mu - k\sigma \leq X \leq \mu + k\sigma[/tex].

Here it is given that mean (µ) = 36 and standard deviation (σ) = 5.4.

Compute the two values between which at least 75% of the contestants lie as follows:

[tex]P(\mu - k\sigma \leq X \leq \mu + k\sigma)=0.75\\\\P(36 - 2\cdot\ 5.4 \leq X \leq 36 + 2\cdot\ 5.4)=0.75\\\\P(25.2\leq X\leq 46.8)=0.75[/tex]

Thus, the two numbers of rolls are 25.2 and 46.8.

Answer:

The answer is blue

Step-by-step explanation:

There are five colors. So count by fives until you hit 25.

red, blue, pink, green, and purple. 5

red, blue, pink, green, and purple. 10

red, blue, pink, green, and purple. 15

red, blue, pink, green, and purple. 20

red, blue, pink, green, and purple. 25

Then count to 27.

red, blue. 27

So it is blue.

This question is determined by using simple mathematics tricks . Therefore, the color is blue on painting 27.

Given:

The order of painting begin  from the red, blue, pink, green, and purple.

We need to determined the color of 27 painting.

According to question,

There are five colors for painting, count by fives until you hit 25.

Now, count the colors,

red, blue, pink, green, and purple - 5

red, blue, pink, green, and purple - 10  

red, blue, pink, green, and purple - 15

red, blue, pink, green, and purple - 20

red, blue, pink, green, and purple - 25

Now at 26 there is red and at 27  there is blue color.

Therefore, the color is blue on painting 27.

For further details, please prefer this link:

https://brainly.com/question/4271236

Answer:

b and I will be there at work and I will be there at work and I will be there at work and I will

Step-by-step explanation:

you are not going to be able to make it to the meeting tonight but I can tomorrow if you have time

Answer:

The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 5, \sigma = 0.2[/tex]

What is the minimum weight of the heaviest 9.85% of all items produced?

This is the 100 - 9.85 = 90.15th percentile, which is X when Z has a pvalue of 0.9015. So X when Z = 1.29.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.29 = \frac{X - 5}{0.2}[/tex]

[tex]X - 5 = 1.29*0.2[/tex]

[tex]X = 5.26[/tex]

The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

There is a 0.9986 probability that a randomly selected 27​-year-old male lives through the year. A life insurance company charges ​$174 for insuring that the male will live through the year. If the male does not survive the​ year, the policy pays out ​$90 comma 000 as a death benefit. Complete parts​ (a) through​ (c) below.

a. From the perspective of the 27​-year-old ​male, what are the monetary values corresponding to the two events of surviving the year and not​ surviving?

b. If the  27  -year-old  male purchases the policy, what is his expected value?

c. Can the insurance company expect to make a profit from many such policies? Why?  From the point of view of the insurance company, the expected value of the policy is

Answer:

a. The life insurance company charges ​$174 for insuring if the male survives

Value(survive) = -$174

The life insurance company pays ​$90,000 for insuring if the male does not survive.

Value(not survive) = $89,826

b. The expected value for a 27-year-old male is

E(x) = -$48

c. The expected value for the insurance company is

E(x) = $48

Step-by-step explanation:

The probability that a randomly selected 27​-year-old male survives is given by

P(survive) = 0.99864

The probability that a randomly selected 27​-year-old male does not survive is given by

P(not survive) = 1 - P(survive)

P(not survive) = 1 - 0.99864

P(not survive) = 0.0014

a. From the perspective of the 27​-year-old ​male, what are the monetary values corresponding to the two events of surviving the year and not​ surviving?

If 27​-year-old ​male survives:

The life insurance company charges ​$174 for insuring if the male survives

Value(survive) = -$174

If 27​-year-old ​male does not survive:

The life insurance company pays ​$90,000 for insuring if the male does not survive.

Value(not survive) = $90,000 - 174

Value(not survive) = $89,826

b. If the  27-year-old male purchases the policy, what is his expected value?

The expected value for a 27-year-old male is given by

E(x) = P(survive)×Value(survive) + P(not survive)×Value(not survive)

E(x) = 0.9986×-174 + 0.0014×89,826

E(x) = -$48

The negative sign indicates that it is a loss from the perspective of the 27​-year-old ​male.

c. Can the insurance company expect to make a profit from many such policies? Why?  From the point of view of the insurance company, the expected value of the policy is

The expected value for the insurance company is given by

E(x) = 0.9986×174 + 0.0014×-89,826

E(x) = $48

The positive sign indicates that it is a profit from the perspective of the insurance company.

Answer:

A.  A = 8h + 10

     A = 10h

B.  5 hours

C.  $50

Step-by-step explanation:

A.  https://brainly.com/question/17036764

Pizza Place:  A = 8h + 10

Hardware Store:  A = 10h

Since you had made a separate question for part A, I answered that.

B.  Kevin's earnings is represented by A.  Because we want the earnings for each job to be equal, set the two equations equal to each other.  Solve for h.

8h + 10 = 10h

10 = 2h

5 = h

Kevin has to work 5 hours.

C.  Plug 5 into each equation.

A = 8h + 10

A = 8(5) + 10

A = 40 + 10

A = 50

A = 10h

A = 10(5)

A = 50

Kevin will make 50 from each job.

Answer:

  5.793 s

Step-by-step explanation:

On average she swam 1/10 the distance in 1/10 the time.

She took an average of 5.793 seconds to swim 10 m.

___

10 m is 1/10 of 100 m

Answer:

3003

Step-by-step explanation:

We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)

The number of different lineups you can have can be found by using combination:

[tex]^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003[/tex]

There are 3003 different lineups that can be chosen.

Hope you understand :)

Answer:

DF = 3.0

<E = 31°

<F = 59°

Step-by-step explanation:

1. Use the Pythagorean Theorem to find side DF.

a² + b² = c²

5² + b² = 5.83²

25 + b² = 33.9889

b² = 8.9889

b = √8.9889

b = 2.998149429

b = 3.0

Side DF is equal to 3.0.

2. Use SOHCAHTOA to find the measure of <E. We know two sides: adjacent (5) and hypotenuse (5.83). So, we will use cosine.

Cosine = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{5.83}[/tex] = 0.8576329331

Take the inverse cosine to find <E in degrees.

cos⁻¹ (0.8576329331) = 30.95 = 31°

<E is equal to 31°.

3. Add the two angles and subtract from 180° or use SOHCAHTOA to find the measure of <F.

90° + 31° + x = 180°

121° + x = 180°

x = 59°

or

We know two sides: adjacent (3.0) and hypotenuse (5.83). So, we will use cosine.

Cosine = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3.0}{5.83}[/tex] = 0.5145797599

Take the inverse cosine.

cos⁻¹(0.5145797599) = 59.03063031 = 59°

<F is equal to 59°.

Hope that helps. :)

Answer:

42

Step-by-step explanation:

7/8 = x / 48

We need to get a common denominator

Multiply the left side by 6

7/8 *6/6 = x/48

42/48 = x/48

Since the denominators are equal, the numerators must be equal

42 =x

Answer:

42

Step-by-step explanation:

7/8=42/48

Cross products: 7(48)=8x

Answer:

The picture on the bottom right.

Step-by-step explanation:

There are eight compartments and seven of it is shaded and the other one five of the eight compartments are shaped.

I hope this helps :)

Answer:

I wanna end myself bye random stranger.

Answer: 135 degrees

Step-by-step explanation:

First you now that ABD+DBC=180 degrees

Subsitute so you get: (5x+10)+(2x-5)=180

Solve:

(5x+10)+(2x-5)=180

=> 7x+5=180

=> 7x=175

=> x= 25

Plug in 25 :

ABD= 5*25+10=135

And there is your answer

Answer:

1/7

Step-by-step explanation:

y=-7X

The slope of this line is -7

Perpendicular lines have slopes that multiply to -1

-7 * m = -1

Divide each side by -7

m = -1 / -7

m = 1/7

The slope of the perpendicular line is 1/7

Answer:

1/7

Step-by-step explanation:

Perpendicular slope can be calculated by take the opposite/negative reciprocal of the given slope. This means multiply the given slope by -1 (so if it is negative it becomes positive and if it is positive then becomes negative) and then flip the numerator and denominator.

So -7 is the slope of the given equation (y = mx + b where is m is slope and b is the y-intercept).

to find perpendicular slope..

Step 1. Multiple -7 by -1 = 7

Step 2. Flip 7/1 to 1/7

Answer: 1/7 is perpendicular slope

Answer:

y= -3.7x+100.94

Step-by-step explanation:

Generally this type of problems is solved by using a calculator or a spreadsheet. Now, getting the final equation depends on the model of calculator you are using, so I will suggest you look for the instructions on your calculator's instruction manual. I'll provide indications for using excel.

So first you need to input the table on an excel sheet. You can input them just the same way they were given to you. (See attached picture)

Once you inputed them, you can highlight them and go to the insert tab. There you can pick the scattering plot option. Once the scatterplot is graphed, you can right-click on the graph and a menu should appear. Pick the option add tendency line. Choose the line option and below, you can mark the option present equation on the graph and present the value of R. And that will be it! Excel will automatically provide you with the equation of the regression line you need.

Most scientific calculators nowaday can provide you with the equation, you just need to input the data and they will return the slope and y-intercept of the line.

There are other formulas you can use to find this regression by hand, but they are generally used in statistics courses.

Answer:

7.2 times

Step-by-step explanation:

There are 36 possible outcomes when rolling a die twice and adding the results. The outcomes for which the sum is 6 are:

Sum = 6: {1,5; 2,4; 3,3; 4,2; 5,1}

Therefore there is a 5 in 36 chance that the sum will be 6.

The expected number of trials to achieve that result is given by:

[tex]E = \frac{36}{5}\\E=7.2\ times[/tex]

On average, it would take 7.2 trials to achieve a sum of 6.

Answer:

[tex]V=\frac{4}{3}\pi r^{2}[/tex]

=[tex]\frac{4}{3}[/tex] x [tex]\pi[/tex] x [tex]7^3[/tex]

= 1436.755040

Volume = 1436.755040

Step-by-step explanation:

Answer:

1436.03 in³

Step-by-step explanation:

We can use the formula V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

Plug in 7 for r:

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](7)³

Plug in 3.14 for pi:

V = [tex]\frac{4}{3}[/tex](3.14)(343)

V = 1436.03 in³

Answer as an exact fraction = 5/18

Answer as an approximate decimal = 0.2778

Answer as an approximate percentage = 27.78%

============================================================

Explanation:

x = result of the first die

y = result of the second die

(x,y) paired together shows the results of both dice at the same time.

Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.

--------

Let's list the ways of rolling a 6

There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.

--------

List all the ways of getting doubles

There are 6 ways to roll doubles. Each pair mentioned has x = y.

--------

We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.

This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.

Using a calculator, 5/18 = 0.2778 = 27.78%

Answer:

Step-by-step explanation:

We khow that the genetic mutation affect 2 percent of the population .

Let's try to understand what does this mean :

so :

and so on

Answer:

p+2p+3p=180degree(sum of angle of triangle)

6p=180degree

p=180degree/6

p=30degree

here your answer and please support me

Answer:

30, 60, 90

Step-by-step explanation:

p+2p+3p= 180

6p= 180

p=30, 2p= 60, 3p= 90