Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% are shipped to the people other than the person placing the order. Gift wrapping is requested for 60% of the orders being shipped to other people, but for only 10% of the orders shipped to the person making the order.

a. What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?
b. What is the probability that a randomly selected order will be gift wrapped?
c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically?

Answers

Answer 1

Answer:

0.18 ; 0.1875 ; No

Step-by-step explanation:

Let:

Person making the order = P

Other person = O

Gift wrapping = w

P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10

What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?

Using the relation :

P(W|O) = P(WnO) / P(O)

P(WnO) = P(W|O) * P(O)

P(WnO) = 0.60 * 0.3 = 0.18

b. What is the probability that a randomly selected order will be gift wrapped?

P(W) = P(W|O) * P(O) + P(W|P) * P(P)

P(W) = (0.60 * 0.3) + (0.1 * 0.7)

P(W) = 0.18 + 0.07

P(W) = 0.1875

c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically

No.

For independent events the occurrence of A does not impact the occurrence if the other.


Related Questions

In the diagram, ABC ~ DEF. The area of ABC is 72 square cm. Find the area of DEF.
А
6 cm
B
20 cm
m
Area of DEF
cm

Answers

Answer:

120

Step-by-step explanation:

just do 20x 6 and you get 120

Similar triangles may or may not be congruent

The area of triangle DEF is 800 square cm

The given parameters is

[tex]\triangle ABC \sim \triangle D EF[/tex]

This means that the triangles are similar.

The corresponding sides of the triangles are:

[tex]AC = 6[/tex]

[tex]DF = 20[/tex]

So, the scale factor (k) from ABC to DEF is:

[tex]k = \frac{D EF}{ABC}[/tex]

[tex]k = \frac{20}{6}[/tex]

Simplify

[tex]k = \frac{10}{3}[/tex]

The area of triangle DEF is then calculated as follows:

Area = Area of triangle ABC * k^2

So, we have:

[tex]A =72 \times \frac{10}{3} \times \frac{10}{3}[/tex]

[tex]A = 800[/tex]

Hence, the area of triangle DEF is 800 square cm

Read more about similar triangles at:

https://brainly.com/question/14285697

Which of the following is NOT a level of​ measurement? nominal ratio qualitative ordinal

Answers

Answer:

Nominal.

Step-by-step explanation:

The option that is NOT a level of measurement is qualitative.

With qualitative, numbers are not assigned to the measurement.

A level of measurement classifies and relates values to variables.  Four levels of measurement have been identified as nominal, ordinal, interval, and ratio.

Ordinal can be quantitative or qualitative, while interval and ratio are always quantitative, and nominal has non-quantitative values assigned as measurements.

Thus, qualitative is not a recognized level of measurement.

Learn more about levels of measurement at https://brainly.com/question/24148016 and https://brainly.com/question/4823744

PLEASE HELP IM TIMED whats 1 divded by 1

Answers

Answer:

1

Step-by-step explanation:

1 divided by anything is that number. So with that information 1 divided by on would be 1.

Convert the following repeating decimal into a fraction
_
0.16

Answers

Answer:  0.16 converted to a fraction is 4/25

Solve this equation for a:



–5 + 4a = 27

Answers

Answer:

a=8

Step-by-step explanation:

solve for a by adding 5 on both sides

4a=32

Now divid 4 on both sides

a=8

please help me for this question:​

Answers

24|5
25|0, 1, 3, 8
26|4, 7, 9
27|3, 6
key in bottom right
24|5 means 245

HELP MWAH WITH YOURS TRULYS MATH

Answers

Answer:

its 1/2

Step-by-step explanation:

because 1/2 of 10/10 is 5/10

Answer:

1

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]= 0.5

[tex]\frac{1}{2}[/tex]= 0.5

therefore making them equivilant

Find the value of the expression whenx=1, y=-1,z =0a)5y –y b) 3x² +2y + 3z² c) 2y² -3xyz

Answers

Answer:

a) 4

b) 1

c)2

Step-by-step explanation:

a) 5y - y

= 5 - 1

=4

b) 3×1×1 + 2×1 + 3×0×0

= 3 - 2 + 0

1

c) 2×1×1 - 3×1×1×0

= 2 - 0

= 2

Find the value of each variable for y and z

Answers

Answer:

y = 102° , z = 75°

Step-by-step explanation:

Assuming this is geometry, you must find the value of 'z' first.

Using the [Supplementary Angles Theorem] for 'z' :

105° + z = 180°

Solve for z.

z = 75°

You may also hear that those two angles are a 'Linear Pair'

Then using the formula for: [Sum of Internal Angles]

Which is: sum = (n-2) * 180°      where 'n' is the number of sides

The total sum of internal angles of a quadrilateral is 360°

Now knowing 3 of the 4 interior angles, you can just do arithmetic:

99° + 84° + 75° + y = 360°

Simplify:

258° + y = 360°

Therefore:

y = 102°

can i have help please ​

Answers

Answer:

A

Step-by-step explanation:

What is the equation of the line that passes through the point (−2,−6) and has a slope of -3/5

Answers

Answer:

y= -3/5 x -7.2

Step-by-step explanation:

-6 = 6/5 + b

b= - 7.2

Josh started washing at 4:07 PM and finished at 5:31 PM. How long did it take him? Give your answer in hours and minutes​?

Answers

it took him 1 hour & 24 minutes

Perform the induced operation
(-7x+1)+(- 2x2 + 7x + 8) =

Answers

Answer:

-2[tex]x^{2}[/tex] + 9

Step-by-step explanation:

   0[tex]x^{2}[/tex] + (-7x) + 1

+ -2[tex]x^{2}[/tex]  + 7x + 8

  -2[tex]x^{2}[/tex] + 0x + 9

or

-2[tex]x^{2}[/tex] + 9

 

Explain why the expressions 8x(6-4) and 8x6-4 do not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)

Answers

Answer:

Because 8x6 gives you the same figure.

Step-by-step explanation:

This expression 8x(6-4) has bracket. When you solve it you need to do in bracket first then do outside. 8x(6-4)=8x2=16
This expression 8x6-4 doesn’t has bracket so you need to do x and / first then you do + and -
8x6-4=48-4=44

answered
A swimming pool containing 2000l of water is 1/16 full. How many litres of water is required to make the pool half full

1
SEE ANSWER

Answers

Answer:

16,000 liters

Step-by-step explanation:

Assuming the pool does not curve in any direction and is a big box with 90° corners:

1/16. 2,000 liters

2/16. 4,000 liters

3/16. 6,000 liters

4/16. 8,000 liters

5/16. 10,000 liters

6/16. 12,000 liters

7/16. 14,000 liters

8/16. 16,000 liters

9/16. 18,000 liters

10/16. 20,000 liters

Answer:

Half full = 16,000 liters

Need to add 14,000 more liters

Step-by-step explanation:

Proportions and Fractions

The swimming pool contains 2,000 liters of water and it's said to be 1/16 full. this means that the total capacity of the pool is:

2,000 liters * 16 = 32,000 liters

It's required to calculate how many liters of water are required to make the pool half full.

This can be found by dividing the above number by 2, thus:

Half capacity of the pool = 32,000 / 2 = 16,000 liters

We'll provide the following answer in case it's required.

To reach half capacity, it would be necessary to add

16,000 liters - 2,000 liters = 14,000 liters of water to the existing amount.

what is the sum of the sequence 4 + 9 + 14 + 19 + 504​

Answers

Answer:

550

Step-by-step explanation:

using my brain

Answer:

550

Step-by-step explanation:

common sense.........

PLEASE HELP ASAP, MARKING BRAINLIEST! (Read the whole thing please)

Answers

Answer:

$288

Step-by-step explanation:

to find the area of one rectangular eave of the roof you have to multiply 24 by the hypotenuse of the 12 ft x 16 ft triangular side, so you can find that by using the Pythagorean Theorem

16² + 12² = c²

256 + 144 = c²

400 = c²

20 = c

Area of one eave = 24 x 20 = 480

Area of total roof = 480 x 2 = 960

set up a proportion to find cost ('x'):

30 =  x  

100    960

cross-multiply:  100x = 28800

x = $288


help pls due today thanks

Answers

Answer:

4

Step-by-step explanation:

11.2/2.75=4.07272(repeating number)

Answer:

11 1/5 divided by 2 3/4:

11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3

The answer, therefore, should be fairly close to 12 ÷ 3

12 ÷ 3 is 4

Answer is 4

Step-by-step explanation:

here ya go bub! (pls mark me brainlest)

In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?


Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

What did you include in your response? Check all that apply.

If the base were 1, the function would be constant.
If the base were 1, the graph would be a horizontal line.
If the base were between 0 and 1, the function would be decreasing.

Answers

Answer:

How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

Step-by-step explanation:

If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4

Answers

Answer:

x is equal to two.

Step-by-step explanation:

We know that 32 is a power of 2.  It is in fact two to the power of five.  So we can re-express that as:

[tex]2^{3x - 1} = 2^5[/tex]

Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:

[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]

Find the exact value of each of the remaining trigonometric functions of theta when tan theta = -3/4

Answers

Step-by-step explanation:

sinΘ=-3,cosΘ=4,cotΘ=-4/3,secΘ=1/4 & cosecΘ=-1/3

Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles

Answers

Answer:

cut the two lines at the corner, don't let the lines touch

Step-by-step explanation:

Two lines are drawn at corner of a big triangle and lines should not touch each other

Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangle

What are the steps to draw?

Steps to draw the Pentagon & Triangle are as follow:

First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left corner

So two triangle and one pentagon is produced

Learn more about Pentagon & Triangle here:

https://brainly.com/question/19596085

#SPJ2

Find the difference. Enter your answer in simplest terms, using the slash (1)
as the fraction bar.
5/8 - 1/3 =?

Answers

Answer:

the difference between 5/8 and -1/3

is that  if you divide 5/8 = 0.625

and -1/3= -0.333333333

gives the value of the expression b x 4 for b = 21?

Answers

Answer:

5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation: i passed the test

what is the slope-intercerpt form of the equation -8x+2y=4

Answers

Answer:

y= 4x +2

Step-by-step explanation:

Slope-intercept form is y= mx +c.

Thus, rewrite the equation to make y the subject of formula.

-8x +2y= 4

Let's simplify the equation first by dividing both sides by 2.

-4x +y= 2

+4x on both sides:

y= 4x +2

if i earn 5 dollars every 8 mins 20 sces how long until i get 2,700 will mark brainliest URGENT

Answers

Answer:

75 Hours

Step-by-step explanation:

First, you'd have to find out how many times 5 dollars can fit into 2700 dollars. You'd simply just divide 2700 by 5. You will get 540.

Next, multiply 8 minutes and 20 seconds by 540. We know that 20 seconds is a third of a minute, so we'll convert 8 minutes and 20 seconds to 8.33 (repeated) minutes.

8.33 (repeated) multiplied by 540 will give you 4500 minutes.

Next, just divide 4500 minutes by 60, and you'll get 75 hours.

y = 15x + 15 How do I interpret the slope and y-intercept?

Answers

Answer:

Look at explanation.

Step-by-step explanation:

The equation y = 15x + 15 is using the equation y = mx+b. m, or in this case 15, represents the slope of the equation. b, or in this case 15, represents the y-intercept.

7.43+9.25 Show Your Work

Answers

Answer:

16.68

Step-by-step explanation:

just add them like regular numbers then just put the decimal

HELP ME EASY THINKING PROBLEM 20 POINTS

Answers

do you move the 6 for the 2?

Step-by-step explanation:

I'm sorry if its wrong

have a good day!

Use the graph below to determine the number of solutions the system has.
y = -3 and x = 4


(a) one

(b) two

(c) no solution

(d) infinitely many

Answers

the correct answer would be the last option D
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