A market survey shows that 50% of the population used Brand Z computers last year, 4% of the population quit their jobs last year, and 2% of the population used Brand Z computers and then quit their jobs. Are the events of using Brand Z computers and quitting your job independent

Answers

Answer 1

Answer:

the events of using Brand Z computers and quitting your job are independent.

Step-by-step explanation:

Let A be the event that the population used Brand Z computers and let B be the event that the population quit their jobs.

We are told that 50% of the population used Brand Z computers last year. Thus, the probability of event A is;

P(A) = 50% = 0.5

Also, we are told that 4% of the population quit their jobs last year. Thus the probability of event B is;

P(B) = 4% = 0.04

Since 2% of the population used Brand Z computers and then quit their jobs. Then the probability of the population used Brand Z computers and then quit their jobs is;

P(A ∩ B) = 2% = 0.02

From the law of independent events, if A and B are to be independent events, then;

P(A ∩ B) = P(A) × P(B)

Thus;

P(A ∩ B) = 0.5 × 0.04 = 0.02

This is same value as what was given in the question, thus the events of using Brand Z computers and quitting your job are independent.


Related Questions

Which of the following is a correct interpretation of the expression -4 - (-7)?

Answers

Answer:

D

Step-by-step explanation:

So we have the expression:

[tex]-4-(-7)[/tex]

First, simplify. Two negatives make a positive. Therefore, the -(-7) turns into +7:

[tex]-4-(-7)\\=-4+7[/tex]

When adding on the number line, we move to the right.

Therefore, the correct interpretation is the value 7 digits to the right of -4.

D is the correct answer.

Answer:

D.  the number that is 7 to the right of -4 on the number line

Step-by-step explanation:

interpret -4 - (-7)

=  -4 +7

therefore

the number that is 7 to the right of -4 on the number line

so its D.

If the average yield of cucumber acre is 800 kg, with a variance 1600 kg, and that the amount of the cucumber follows the normal distribution. 1- What percentage of a cucumber give the crop amount between 778 and 834 kg? 2- What the probability of cucumber give the crop exceed 900 kg ?

Answers

Answer:

a

   The  percentage is

            [tex]P(x_1 < X < x_2 ) = 51.1 \%[/tex]

b

   The probability is  [tex]P(Z > 2.5 ) = 0.0062097[/tex]

Step-by-step explanation:

From the question we are told that

        The  population mean is  [tex]\mu = 800[/tex]

        The  variance is  [tex]var(x) = 1600 \ kg[/tex]

        The  range consider is  [tex]x_1 = 778 \ kg \ x_2 = 834 \ kg[/tex]

         The  value consider in second question is  [tex]x = 900 \ kg[/tex]

Generally the standard deviation is mathematically represented as

        [tex]\sigma = \sqrt{var (x)}[/tex]

substituting value

        [tex]\sigma = \sqrt{1600}[/tex]

       [tex]\sigma = 40[/tex]

The percentage of a cucumber give the crop amount between 778 and 834 kg  is mathematically represented as

       [tex]P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )[/tex]

    Generally  [tex]\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)[/tex]

So

      [tex]P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )[/tex]

      [tex]P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)[/tex]

From the z-table  the value for  [tex]P(z_1 < 0.85) = 0.80234[/tex]

                                            and [tex]P(z_1 < -0.55) = 0.29116[/tex]  

So

             [tex]P(x_1 < X < x_2 ) = 0.80234 - 0.29116[/tex]

             [tex]P(x_1 < X < x_2 ) = 0.51118[/tex]

The  percentage is

            [tex]P(x_1 < X < x_2 ) = 51.1 \%[/tex]

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

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

substituting values

             [tex]P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )[/tex]

             [tex]P(X > x ) = P(Z >2.5 )[/tex]

From the z-table  the value for  [tex]P(Z > 2.5 ) = 0.0062097[/tex]

 

A patient with diabetes self-injected 5 units of regular insulin and 15 units of NPH insulin at 0800. When should the nurse assess this patient for signs of hypoglycemia?

Answers

Answer:

Hypoglycemia would sign at 1,000

Step-by-step explanation:

We know that a short-acting insulin (Regular insulin) work at last for 2 to 3 hours

Also intermediate acting insulin (NPH) insulin crests in 4 to 10 hours.

So, nurse assess this patient for signs of hypoglycemia 1000 to 1600

-4-(-1) answer the question

Answers

Answer:

-3

Step-by-step explanation:

Since you are subtracting a negative, it turns positive so it will be.

-4+1

-3

Answer:

-3

Step-by-step explanation:

-4-(-1) = -4 + 1 = -3

The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.

Answers

Answer:

this? hope it helps ........

Answer:

The answer is area=32pi-64 and the perimeter is 8pi

Step-by-step explanation:

Solve this system of equations:

3x - 2y = -8
y=3/2x - 2

PLEASE WRITE THE STEPS

Answers

Hey there! I'm happy to help!

We see that y is equal to 3/2x-2. We can replace the y in the first equation with 3/2x-2 because they are equal and we can solve for x.

3x-2(3/2x-2)=-8

We use the distributive property to undo the parentheses.

3x-3x+4=-8

We combine like terms.

4=-8

We see that since there is no x anymore, there cannot be a solution. We have no x value to solve for the y value either, so there is no solution to this system of equations.

Have a wonderful day! :D

State whether the given measurements determine zero, one, or two triangles. B = 84°, b = 28, c = 25 (5 points)

Answers

Answer:

  1

Step-by-step explanation:

The given angle is opposite the longest given side, so the parameters define exactly 1 triangle.

__

Additional comment

When the given angle is opposite the shortest given side, there may be 0, 1, or 2 triangles, depending on the angle and the ratio of sides. For the case here, there is only one possibility.

A total of n bar magnets are placed end to end in a line with random independent orientations. Adjacent like poles repel while ends with opposite polarities join to form blocks. Let X be the number of blocks of joined magnets. Find E(X) and Var(X).

Answers

Answer:

E(x)  [tex]= \frac{n+1}{2}[/tex]

Var(x) [tex]= \frac{1}{4} [ n - 1 ][/tex]

Step-by-step explanation:

Hint x = 1 + x1 + ......... Xn-1

[tex]X_{i} = \left \{ {{1} if the ith adjacent pair of magnets repel each other \atop {0} if ith adjacent pair of magnets join} \right.[/tex]

attached below is the detailed solutioN

usually like poles of magnets repel each other and unlike poles of magnets attract each other forming a block

A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?

Answers

Answer:

8.8 pounds

Step-by-step explanation:

Given the following :

Combined weight loss which occurred within a week = 28 kg

Number of days in a week = 7 days

1 kilogram (kg) = 2.2 pounds

Combined weight loss in pounds that occurs within a week:

Weight loss in kg × 2.2

28kg * 2.2 = 61.6 pounds

Assume weight loss occurred at a constant rate :

Weight lost by the group per day :

(Total weight loss / number of days in a week)

(61.6 pounds / 7)

= 8.8 pounds daily

Answer:

88

Step-by-step explanation:

Found the answer and I am doing the quiz rn lel

Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of
hours ten boys watched television over the same period of time.
Which statement correctly compares the measures of center in the two sets of data?
Both the mean and median are greater for Plot A than for Plot B.
* Both the mean and median are greater for Plot B than for Plot A.
Plot A has a greater median than Plot B, but Plot B has a greater mean.
Plot B has a greater median than Plot A, but Plot A has a greater mean.
(It’s not B on edg2020 btw)

Answers

Both the mean and median are greater for plot A than for plot B. This is found by finding the mean and median for each plot and comparing them. Let me know if you need any further explanation!

Answer: Hello I have your Answer

It's A

Step-by-step explanation:

Your welcome

Which is the solution to the inequality?
2 3/5 <b-8/15​

Answers

Answer:

3 2/15 <b

Step-by-step explanation:

2 3/5 <b-8/15​

Add 8/ 15 to each side

2 3/5 + 8/ 15 <b-8/15​ + 8/15

2 3/5 + 8 /15 <b

Get a common denominator

2 3/5 *3/3 + 8/15

2 9/15 + 8/15 < b

2 17/15 < b

2 + 15/15 + 2 /15 < b

3 2/15 <b

Answer:

B > 3 2/15

Step-by-step explanation:

a wolf population of 850 wolves is increasing by 7% each year. Find the wolf population after 7 years

Answers

Answer:

1,267 wolves

Step-by-step explanation:

Initial population of wolf = 850 wolves

If the wolves increases by 7% each year, yearly increment will be 7% of 850

=  7/100 * 850

= 7*8.5

= 59.5 wolves.

This shows that the wolves increases by 59.5 each year.

After 7 years, increment will be equivalent  to 59.5 * 7 = 416.5

The wolf population after 7 years = Initial population + Increment after 7 years

= 850 + 416.5

= 1266.5

≈ 1267 wolves

Hence the population of the wolves after 7 years is approximately 1,267 wolves

Solve the following equation
3x + 5 = 17

Geometry pre

Answers

Answer:

x = 4

Step-by-step explanation:

First, we need to get the 3x by itself on the left. To do this, we subtract 5 from both sides. 3x + 5 - 5 = 17 - 5; 3x = 12. Now, to find x, we divide both sides by 3 to get 3x/3=12/3; x = 4

Answer:

[tex] \boxed{ \boxed{ \bold{4}}}[/tex]

Step-by-step explanation:

[tex] \mathsf{3x + 5 = 17}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \mathsf{3x = 17 - 5}[/tex]

Subtract 5 from 17

⇒[tex] \mathsf{3x = 12}[/tex]

Divide both sides of the equation by 3

⇒[tex] \mathsf{ \frac{3x}{3} = \frac{12}{3} }[/tex]

Calculate

⇒[tex] \mathsf{x = 4}[/tex]

Hope I helped!

Best regards!

f(x)=3x+5 and g(x)=4x2-2 h(x)=x2-3x+1 Find f(x)+g(x)-h(x).

Answers

Answer:

f(x)+g(x)-h(x) = 3x² + 6x + 2

Step-by-step explanation:

f(x) = 3x + 5

g(x) = 4x² - 2

h(x) = x² - 3x + 1

f(x)+g(x)-h(x) means subtract h(x) from the sum of f(x) and h(x)

f(x)+g(x)-h(x) = 3x + 5 +( 4x² - 2) - (x² - 3x + 1)

Remove the brackets

That's

f(x)+g(x)-h(x) = 3x + 5 + 4x² - 2 - x² + 3x - 1

Group like terms

We have

f(x)+g(x)-h(x) = 4x² - x² + 3x + 3x + 5 - 2 - 1

Simplify

We have the final answer as

f(x)+g(x)-h(x) = 3x² + 6x + 2

Hope this helps you

Hope this helps you

work out angle pqr please if you know it i willl give brainliest to fastest person

Answers

Answer:

∠PQR =  67.36° (Approx)

Step-by-step explanation:

Given:

PRQ is a right triangle

∠R = 90°

PQ = 13 cm

QR = 5 cm

PR = 12 cm

Find:

∠PQR = ?

Computation:

Using trigonometry application.

SinФ = 12 / 13

SinФ = 0.92

Sin 67.36° = 0.92

So,

∠PQR =  67.36° (Approx)

Please answer this correctly without making mistakes

Answers

Answer:

14 mi

Step-by-step explanation:

Cedarburg is 22 13/16 miles from Allenville and 8 13/16 miles from Lakeside.  You have to solve for the distance from Lakeside to Allenville.

8 13/16  +  x  =  22 13/16

(8 13/16  +  x)  -  8 13/16  =  22 13/16  -  8 13/16

x  =  14

The distance from Lakeside to Allenville is 14 miles.

If r=9 and 4r+3s=75, what is the value of s?

Answers

4(9) + 3s = 75
36 + 3s = 75
3s = 39
s = 13

Answer:

s = 13

Step-by-step explanation:

4r+3s=75 , r = 9

Since we know the value of r, we can substitute the value of r into the above equation to find s

That's

4( 9) + 3s = 75

36 + 3s = 75

Group like terms

3s = 75 - 36

3s = 39

Divide both sides by 3

That's

[tex] \frac{3s}{3} = \frac{39}{3} [/tex]

We have the final answer as

s = 13

Hope this helps you

What is the solution of 3(x + 4) = -12 ? Group of answer choices 3 0 8 -8

Answers

Answer:

Step-by-step explanation:

3(x + 4) = -12

3x+12 = -12

3x= -12-12

3x= -24

x = -24/3

x= -8

Answer:

x = -8

Step-by-step explanation:

3(x+4) = -12

3*x + 3*4 = -12

3x + 12 = -12

3x = -12 - 12

3x = -24

x = -24/3

x = -8

Check:

3(-8+4) = -12

3*-4 = -12

Solve for X, 3^x + 3^2 = 90​

Answers

3^x + 3^2 = 90

Simplify the known power:

3^x + 9 = 90

Subtract 9 from both sides:

3^x = 81

Take the cubic root of both sides:

X = 4

Jullian measures the distance he drives to work each day using the odometer on his car, which measures distance in miles, accurate to the nearest tenth of a mile. Using that measurement, he claims that the exact distance he drives to work is 11.7 miles. Use complete sentences to explain why jullian is incorrect

Answers

Answer:

Kindly check explanation

Step-by-step explanation: Jullian's claim that the distance she drives to work is exactly 11.7miles is incorrect because, in other to record or get the exact result of a certain calculation such as Jullian's Distance, the value of the distance obtained will not be approximated or rounded. In this scenario, Distance was to the nearest tenth of a mile, thereby altering the true outcome of the calculation.

The word exact means that what is stated is very precise and does not fall below or above in any respect. However, a number whose accuracy is to the nearest tenth of a mile, violates this assertion.

Time spent using e-mail per session is normally distributed with a mean = to 8 minutes and standard deviation = 2minutes. If a random samples of 36 sessions were selected, the computed sample standard deviation would be

a. 0.25
b. 0.3333
c. 0.42
d. 0.48

Answers

Answer:

The correct option is (b) 0.3333.

Step-by-step explanation:

The standard deviation of the sampling distribution of sample mean [tex](\bar x)[/tex] is known as the standard error [tex](\sigma_{\bar x})[/tex].

The standard error is given as follows:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is:

[tex]\mu=8\\\\\sigma=2\\\\n=36[/tex]

Compute the standard deviation of the sample mean as follows:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

    [tex]=\frac{2}{\sqrt{36}}\\\\=\frac{2}{6}\\\\=\frac{1}{3}\\\\=0.3333[/tex]

Thus, the standard deviation of the sample mean is 0.3333.

The distance that Sarah travels varies directly to how long she drives. She travels 440 miles in 8 hours. Write the equation that relates the distance, d, to the time, t. How many miles can Sarah travel in 6 hours?

Answers

Answer:

330

Step-by-step explanation:

If d = distance, t = time, and s = speed, then the relationship between the 3 is s * t = d.

Solve for speed by dividing the distance over the time, s = d/t. Then, plug in the speed which in this case is 55 mph and then multiply by the time of 6 hours.

A local mattress manufacturer wants to know if its manufacturing process is in or out of control and has hired you, a statistics expert in the field, to analyze its process. Specifically, the business has run 20 random samples of size 5 over the past month and has determined the mean of each sample.
a. Determine the estimate of the mean when the process is in control.
b. Assuming the process standard deviation is .50 and the mean of the process is the estimate calculated in part a, determine the Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process.
c. Explain the results to the vice-president of the mattress manufacturer focusing on whether, based on the results, the process is in or out of control.
Sample no. Mean of Sample
1 95.72
2 95.44
3 95.40
4 95.50
5 95.56
6 95.72
7 95.60
8 95.24
9 95.46
10 95.44
11 95.80
12 95.20
13 94.82
14 95.78
15 95.18
16 95.32
17 95.08
18 95.22
19 95.04
20 95.

Answers

Answer:

Answer to question a = 95.4

Answer to question b = UCL = 96.07

LCL = 94.73

Answer to question c = Process is still in control

Step-by-step explanation:

a. The computation of estimate mean is as shown below:-

= 95.4

b. The computation of Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process is shown below:-

= 95.4 + 0.67082

= 96.07

= 95.4 - 0.67082

= 94.73

c. The explanation is shown below:-

From the above calculation we can see that the sample lies between LCL AND UCL that is (94.73 ,96.07) ,

The Process is still in control

Select the correct answer.

Answers

Answer:

B

Step-by-step explanation:

With limits, the first thing one should always try is direct substitution. Therefore, let's try that.

[tex]\lim_{x \to 1} (\frac{x^2+1}{x+1}+x^2+3) \\= (\frac{(1)^2+1}{(1)+1}+(1)^2+3) \\=\frac{2}{2}+1+3\\ =1+4=5[/tex]

Therefore:

[tex]\lim_{x \to 1} (\frac{x^2+1}{x+1}+x^2+3) =5[/tex]

Solve systems of equations 15 points NOT CLICKBAIT!!! -6y+11y= -36 -4y+7x= -24

Answers

Answer:

x = -264/35

y = -36/5

Step-by-step explanation:

-6y + 11y = -36

-4y + 7x = -24

Solve for y in the first equation.

-6y + 11y = -36

Combine like terms.

5y = -36

Divide both sides by 5.

y = -36/5

Plug y as -36/5 in the second equation and solve for x.

-4(-36/5) + 7x = -24

Expand brackets.

144/5 + 7x = -24

Subtract 144/5 from both sides.

7x = -264/5

Divide both sides by 7.

x = -264/35

Answer: -264/35

Step-by-step explanation:

i did my work on a calculator

Find the number of pieces of floor tiles each measuring 26cm long and 10cm wide needed to lay a floor measuring 260m long and 15m wide

Answers

Answer:

150,000

Step-by-step explanation:

1 m = 100 cm

260 m = 260 * 100 cm = 26000 cm

15 m = 15 * 100 cm = 1500 cm

area of floor = LW = 26000 cm * 1500 cm = 39,000,000 cm^2

area of 1 tile = 26 cm + 10 cm = 260 cm^2

number of tiles needed = 39,000,000/260 = 150,000

Answer: 150,000 tiles

Correct answer is 150000 tiles. Hope this helps ya

Jilk Inc.'s contribution margin ratio is 62% and its fixed monthly expenses are $45,000. Assuming that the fixed monthly expenses do not change, what is the best estimate of the company's net operating income in a month when sales are $132,000?

Answers

Answer: $ 36,840.

Step-by-step explanation:

contribution margin=62% =0.62

fixed monthly expenses = $45,000

Sales =  $132,000

We assume that the fixed monthly expenses do not change.

Then, company's net operating income = (contribution margin×Sales )-fixed monthly expenses

=$( (0.62×132000)-45000 )

= $ (81840-45000)

= $ 36,840

Hence, the best estimate of the company's net operating income in a month when sales are $132,000 is $ 36,840.

coordinates of England

Answers

Answer:

52.3555 north

1.1745 west

Simplify the following expression. 3x(4x − 3) A. 12x2 + 13x B. 12x2 + 5x C. 12x2 − 5x D. 12x2 − 9x

Answers

Answer:

Multiply using the distributive property.

D is the best answer.

Step-by-step explanation:

The simplified form of expression 3x (4x - 3) is 12x² - 9x.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

3x (4x - 3).

Simplify the expression by solving bracket term,

3x × (4x) - 3 x (3x)

12x² - 9x

The given expression can be simplified as 12x² - 9x.

Hence, option (D) is correct.

To know more about Algebraic expression on:

https://brainly.com/question/19245500

#SPJ2

can you please help ?

Answers

Answer:

69

Step-by-step explanation:

The order of operations is PEMDAS; parentheses, exponents, multiplication and division, and finally addition and subtraction.

We know that x is the first row, and if there are 30 spots in the first row, then x=30. Using this information, all we have to do now is plug in 30 for x and solve.

[tex]\frac{5(x)}{2} -6[/tex]

[tex]\frac{5(30)}{2}-6[/tex]

[tex]\frac{150}{2}-6[/tex]

[tex]75-6[/tex]

[tex]69[/tex]

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