an economic research commission claimed that among the 500 stores there are 308 dealing with european companies, 266 dealing with asian companies 103 dealing with both sides regularly and 59 not dealing with either side. i) what is the probability that the stores deal with european or asian companies? ii) what is the probability that the stores do not deal with european companies? iii) what is the probability that the stores only deal with asian companies? iv) what is the probability that stores do not deal with only one type of company

Answers

Answer 1

Step-by-step explanation:

Let S be the set of all the stores in the sample, A be the set of stores dealing with Asian companies and E but the set of stores dealing with European companies

i. The set of stores that deal with European or Asian companies is A ∪ E. The inclusion-exclusion principle states that |A ∪ E| = |A| + |E| - |A ∩ E| = 266 + 308 - 103 = 471. So P(A ∪ E) = 471/500 = 0.942

ii. E' = S - E. |S-E| = 500 - 308 = 192. So P(E') = 192/500 = 0.384

iii. |A - E| = |A| - |A ∩ E| = 266 - 103 = 163. So P(A - E) = 163/500 = 0.326

iv. Stores that do not deal with only one type of company, must deal with both Asian and European companies. We are given that |A ∩ E| = 103. So P(A ∩ E) = 103/500 = 0.206

Easy, right?

Then mark as brainlist!


Related Questions

Find the area of the figure below. 7 cm​

Answers

Answer:

Area tells us the size of a shape or figure. It tells us the size ... The rectangle above has an area of 15 square units. The area of a ... Area = 7 cm x 6 cm = 42 cm2.

Step-by-step explanation:

evaluate 4a + b2 for a = 4 b=3

Answers

Answer:

22

Step-by-step explanation:

We substitute the numbers for the letters to get 4*4 + 3*2 and then we multiply. 16 + 6 which equals 22. I hope this helps and please mark brainliest!

Answer:

22

Step-by-step explanation:

4a + b2

4(4) + (3)2

4 x 4 = 16

3 x 2 = 6

16 + 6 =

22

I need this answered in 5 minutes!

Answers

Answer:

Step-by-step explanation:

a.19*5= 95

b.65*5= 325

c. 0*5=0

if my anwser helps please mark as brianliest.

When I...
double my number ...
subtract six ...
take the square root and
add four
I get eight.
My number is:

Answers

Answer:

11

Step-by-step explanation:

Work backwards and reverse the operations to find the original number.

Reverse the operations for add four: 8 - 4 = 4

Reverse the operations for take the square root: 4² = 16

Reverse the operations for subtract six: 16 + 6 = 22

Reverse the operations for double the number: 22 ÷ 2 = 11

#every one when im in public be like

Answers

Answer:

lol

Step-by-step explanation:

Having trouble solving this

Answers

opt1.

667/1000

=66.7

hope u understand

Answer:

more like dividing the up ones with bottom ones

EX 717/1000=0.717

Can someone help me find the area of this ? If you can thank you so much , it's been awhile since I've done it ​

Answers

Answer:

185

Step-by-step explanation:

Hope this helps

Question 4 (3 points)
What is the sum of the angle measures in this shape?
degrees
(I have to fill in the blank, please hurry I’ll give brainliest!!)

Answers

The sum of the angles in a triangle is 180°, If I remember correctly.

2x - 5[4 + 3 (x + 2)] = 9​

Answers

Step-by-step explanation:

i hope you will get the answer

x = -59/13

Step-by-step explanation:

2x - 5 ( 4 + 3 ( x + 2 ) ) = 92x - 5 ( 4 + 3x + 6 ) = 92x - 5 ( 3x + 10 ) = 92x - 15x - 50 = 9-13x - 50 = 9-50 - 9 = 13x-59/13 = x

MARK ME AS BRAINLIST

Ander makes a scale drawing of a tower. He uses scale of ' 1 cm represents 5 m. The tower in real life is 125 m high. How high is the tower on the scale drawing?

Answers

Answer:

25 cm

Step-by-step explanation:

125/5 = 25

hope this helped?

Find the mean,median,mode, and range:5,2,5,2

Answers

Answer:

Mean = 3.5

Median = 3.5

Mode = 5, 2

Step-by-step explanation:

Hope that helps!

Mean: To find the mean, simply add the numbers together and divide by the amount of numbers in the set:

Mean: (5 + 2 + 5 + 2)/4

= (14)/4

= 3.5

Mean = 3.5

Median: To find the median, simply order from least to greatest, and find the middle number in the set. That is your median. In the case of an even amount of numbers in the set, find the mean with the two median numbers (as in this case):

Median: (2 + 5)/2

= 7/2

= 3.5

Median: 3.5

Mode: The Mode is the number that shows up the most frequently. As both given numbers show up the same amount of times (twice), there is no mode.

Mode: None.

Range: The Range is found by subtracting the greatest number with the least number:

5 - 2 = 3

Range: 3

radius:
diameter:32 meters
circumference:
area:​

Answers

Given diameter is 32, radius would be 16 bc radius is always half of diameter, and circumference would be 2(pi)*radius, which would be 100.5309649.... and area is (pi)*radius^2 which would be 804.2477193........

x²+8x-84=0

Formúla General ​

Answers

Answer:

                [tex]x_{1} =-14\\\\x_{2} =6[/tex]

Step-by-step explanation:

[tex]x^{2} +8x-84=0\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x=\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1}=\dfrac{-8 \pm \sqrt{400 } }{2}=\dfrac{-8 \pm20}{2} =-4 \pm 10\\\\x_{1} =-14\\\\x_{2} =6[/tex]

iki sayının oranı 5/8 dir bu iki sayının farkı 24 olduğuna göre toplamı kaçtır​

Answers

Answer:

x = -40 and y = -64

Step-by-step explanation:

The ratio of the two numbers is 5/8, since the difference of these two numbers is 24, what is the sum

Let two numbers be x and y.

ATQ,

x-y = 24 ..(1)

and

[tex]\dfrac{x}{y}=\dfrac{5}{8}[/tex]

or

8x-5y =0 ...(2)

Multiply equation (1) by 8.

8x-8y = 192 ...(3)

Subtract equation (3) from (2).

8x-5y -(8x-8y) = 0-192

-5y+8y = -192

3y = -192

y = -64

Put the value of y in equation (1).

x-(-64) = 24

x+64 = 24

x = -64+24

x = -40

So, the values of x and y are -40 and -64 respectively.

ALGEBRA 15 POINTS please help will give 15 points

Answers

Answer:

angle FEX is 105

Step-by-step explanation:

x=30 just plug that in and check(i already did but if u want to u can do it too).

The answer is 3(30)+15 which would equal 105 degrees

How might a change in the environment affect plants differently than it would animals?

Answers

Answer:

Some plants need certain things in their environment, so if their environment changes it could make the plants not grow. Animals would most likely either move to a different area or would get used to the change.

x^5 ⋅ x^9

can someone help

Answers

Answer:

x^14

Step-by-step explanation:

[tex]x^{5}*x^{9}=x^{(5+9)}=x^{14}[/tex]

Answer:

x^14

Step-by-step explanation:

Use the power rule a^m a^n=a^m+n  

x^5+9

add 5 and 9

x^14

Caraline wants to compare the expression's -15-9 and 9-(-15) to determine which result is greater.How cab she do this without finding the value of rach difference? Explain your reasoning.​

Answers

Answer:

9-(-15)

Step-by-step explanation:

because it would be changed to 9+15

QUESTIONS ARE DOWN BELOW!!! ALL HELP WILL BE APPRECIATED AND I WILL TRY TO MARK BRAINLIEST (IF I CAN)

Answers

Answer: 90 and 110

Step-by-step explanation:

Expand- 2.5( - 3+ 4n + 8)

Answers

Answer:

10n + 12.5

Step-by-step explanation:

Find the value of x. Round your answer to the nearest whole degree. ​

Answers

Answer:

68°

Step-by-step explanation:

arctan(x) = 5/2

porque el factor común está relacionado con la propiedad distributiva​

Answers

Answer:

El factor común se relaciona con la propiedad distributiva, ya que el factor común corresponde a la agrupación de expresiones comunes en una operación, de manera que éstas lleguen a ser simplificadas

Mori is building a cage for his pet guinea pig. The bottom is 8 inches
long and 8 inches wide. How big is the bottom of the cage?

Answers

[tex]area = lw[/tex]

[tex]area = (8)(8)[/tex]

[tex]area = 64 \: {inches}^{2} [/tex]

//

[tex]perimeter = 2(l) + 2(w)[/tex]

[tex]perimeter = 2(8) + 2(8)[/tex]

[tex]perimeter = 32 \: inches[/tex]

what is 2345653445353453463635746 divided by 34174182746542

Answers

Answer:

6.86381724×10 to the 10th power

Step-by-step explanation:

68638172352.2 is the answer

Philippe will read One-half of the number of pages that Rafael reads. How many pages will Rafael read?

Answers

Answer:

He will read 1/2 more than Philippe

Step-by-step explanation:This will be because is Rafael reads 1/2 and Philippe reads 1/2 of that it would still be 1/2

An item with an original price of p dollars is on sale at a 35% discount. Write an
expression that is equivalent to the price of the item with the discount.

Answers

Answer:

Step-by-step explanation:

Your answer

X =0.35 p

Mark it as Brainlist. Follow me for more answer.

Choose the answer that best represents the situation described below. George is climbing a mountain. He knows that the higher the mountain, the more time the climb will take.
A. The time to climb the mountain is a function of climbing speed.
B. The height of the mountain is a function of climbing speed.
C. The time to climb in the function of its height.

Answers

It’s c the time to climb in the function of its height

plz help, just look at the picture ​

Answers

Answer:

<2, <3, <4

Step-by-step explanation:

You have parallel lines cut by a transversal, so alternate interior angles are congruent. Also, alternate exterior angles are congruent. Corresponding angles are congruent.

Vertical angles are always congruent.

I'll write each congruent angle and the reason.

<2, vertical

<3, corresponding

<4, alternate exterior angle

Help please this is due in 10 minutes pleaseee I will mark you brainliest

Answers

A) The slope is 14 or 14/1B) The y-intercept is (0,30) or 30y = 14x + 30The +30 is the y-interceptThe 14x is the slopePlease let me know if I am wrong.

Please help!!!
I am failing math!!
Algebra 1

Answers

Answer:

Wouldnt the answer be "D"

Since it's negative number and multiplied

But still not sure.

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