A town has two shopping malls. A survey conducted on the shopping preferences of the town's residents showed that 62% of the residents visit Comet Mall, 73% of the residents visit Star Mall, and 48% of the residents visit both malls. The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is

Answers

Answer 1

Using Venn probabilities, it is found that:

The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is 0.87 = 87%.

In this problem, the events are:

Event A: Visits Comet Mall.Evenet B: Visits Star Mall.

In this problem:

62% of the residents visit Comet Mall, hence [tex]P(A) = 0.62[/tex].73% of the residents visit Star Mall, hence [tex]P(B) = 0.73[/tex].48% of the residents visit both malls, hence [tex]P(A \cap B) = 0.48[/tex]

The probability of either is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Hence:

[tex]P(A \cup B) = 0.62 + 0.73 - 0.48 = 0.87[/tex]

The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is 0.87 = 87%.

You can learn more about Venn probabilities at https://brainly.com/question/25698611

Answer 2

Answer:

87%.

Step-by-step explanation:

The probability that a resident chosen at random shops at either Comet Mall or at Star Mall is 87%.


Related Questions

(Help me please!!)
Write the equation of each linear relationship in slope-intercept form. (Convert the slope to decimal form.)

X: 25, 35, 45, 55
Y: 94. 88, 82, 76

Answers

Answer:

  y = -0.6x +109

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (88 -94)/(35 -25) = -6/10 = -0.6

The y-intercept is ...

  b = y -mx = 94 -(-0.6)(25) = 109

The equation of the line is ...

  y = mx +b

  y = -0.6x +109

Please help/
Solve the following:-
1+4x/6=3.5

Answers

I got x=3.75
I’m not sure if that’s right I’m so sorry. good luck & have a good day!!

Which equation choice could represent the graph shown below?

Answers

(X+6)x(x-6)

You can look at the roots, which are -6, 0, and 6.

Which inequality is displayed on the number line?

Answers

Answer is B x values are greater than or equal to –2.

I NEED ASAP ON THIS MATH PROBLEM

Answers

y=3x-5 is the equation
ANSWER: y = 3x - 5
Ok done. Thank to me :>

Kelsey went to the donut shop before work. The ratio of chocolate donuts to sprinkled donuts that she bought is 3 to 4. If Kelsey bought a total of 21 donuts, how many of the donuts were sprinkled

Answers

Answer:

she'd have 16 sprinkled donuts

Find profit or loss percent if CP-Rs 900 and loss =Rs 360​

Answers

loss%=loss/CP×100%

=Rs.360/Rs.900×100%

=Rs. 360/9

loss% =40% ans

What is the y-intercept of a line that passes through the points (1,-7) and (5,-15)?

Answers

Answer: (0,-5) or just -5

Step-by-step explanation:

gradient = change in y/change in x = (-7+15)/(1-5) = -2

y = -2x + c

-7 = -2 x 1 + c

c = -7 + 2 = -5

y intercept is (0, -5)

which one weighs more a watermelon that weighs 1.7 kilograms or a pumpkin that weighs 12 pounds?

Answers

Answer : pumpkin that is 12 pounds

Step - by - step explanation :

First, convert . . . what is 1.7 kilograms as pounds ?  3.74786 ( rounded is 4 pounds )

Second, compare . . . 4 < 12

Hope this helped ! :>

Sam has a piece of rope that is 3. feet long. He cuts the rope so that one piece
is 13 feet long. How long is the other piece?
2 feet
2 feet
27 feet
12 feet
Done

Answers

Answer:

1.11 feet

Step-by-step explanation:

i assume you meant inches not feet so you will just multiply 3 feet by 12 to change it into 36 inches do 36-13 get 33 dived by 12 get 1 with a remainder of 11 so 1.11

The cost of a jacket increased from $60.00 to $71.40. What is the percentage increase of the cost of the jacket?

Answers

Answer:

19%

Step-by-step explanation:

Percentage increase = ( (final value - original value) / original value ) x 100

= ( ($71.40 - $60.00) / $60.00 ) x 100

= 19%

[tex]71.40 - 60 = 11.40[/tex]

to find the increase of percentage, divide the amount of increasing price with intial price and multiply with 100%

[tex] \frac{11.40}{60} \times 100\% = 19\%[/tex]

so the cost of jacket has increased 19%

PLEASE HELP I"LL GIVE BRAINLEAST

Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?

7.0% tax rate

7.5% tax rate

8% tax rate

6.5% tax rate

Answers

Answer:

7.5 % Tax rate

Step-by-step explanation:

I used used the calculator to figure out the rate

$2,400 X 7.5%= 180

7.5 percent tax rate because if you subtract $2,400 -118 you get 7.5

Which equation is equivalent to the formula r = st? t equals s over r t = rs s equals r over t s = rt.

Answers

Answer:

Step-by-step explanation:

r = st------------

Other correct expressions:

t = r/s

s = r/t

------------------

Choices

1)  t = s/r   No

2) t = rs     No

3)  s =r/t    Yes

4)  s = rt    No

The equation that is equivalent to the given equation is [tex]s = r/t[/tex] and this can be determined by using the arithmetic operations.

Given :

Equation is [tex](r = st)[/tex].

The following steps can be used in order to determine the equation that is equivalent to the given equation:

Step 1 - Write the given equation.

[tex]r = st[/tex]    --- (1)

Step 2 - The arithmetic operations can be used in order to determine the equation that is equivalent to the given equation.

Step 3 - Now, divide 't' on both sides in the equation (1).

[tex]\dfrac{r}{t} = \dfrac{st}{t}\\\\\\dfrac{r}{t}=s[/tex]  

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/11897796


Anna is making soft toys she can sell at the fair. She can make 3 soft toys
in 5 hours. How many soft toys can she make in 20 hours?
OA) 10
OB) 12
OC) 16
OD 20

Answers

Answer:B

Step-by-step explanation:

20/5 = 4

4 x 3 =12

Answer:

C

Step-by-step explanation:

Which represents the explicit formula for the arithmetic sequence an = 7 - 3(n - 1) in function form?

Answers

Answer:

f(n) = 7 - 3n + 3 and

f(n) = 10 - 3n or

f(n) = -3n + 10

Step-by-step explanation:

the sum of kyras and calebs age is 37. calebs age is equal to twice the quantity of kyras age decreased by 4. let k represent kyras age.

Answers

Caleb - c
Kyras - k

k+c=37
c=2k-4

k+(2k-4)=37
3k=41
k=41/3= ~13.67 years old

c=37-k
c=(111-41)/3
c=70/3=~23.33 years old

X, y, z are each a different digit
a. Max(2x+3y+7z)=?

Answers

Answer:

  101

Step-by-step explanation:

To get the largest weighted sum, you want to give the largest weight to the largest possible digit.

  Max( ) = 7·9 +3·8 +2·7 = 63 +24 +14 = 101 . . . . (x, y, z) = (7, 8, 9)

The maximum sum is 101.

what is the value of y if x = 4 ​

Answers

Answer:

5aaaaaaaaaaaaaaaaaaaaaaaa

1. Represent the following sentence as an algebraic expression, where "a number" is the letter x.

8 is added to a number.

2. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?

Original Equation:
4x-5= -4
First Step:
4x= 1

A. multiplication property of equality
B. addition property of equality
C. commutative property of addition
D. commutative property of multiplication

Answers

Answer:

The answer is C since she is adding 5 to both sides

Hope This Helps!!!

What is the volume of a cone with the height of 6 inches and the diameter of 4 inches?
A) 25.20in3
B) 25.12in3
C) 26in3
D) 25in3
Will get brainliest

Answers

A is the answer because I had the answer on I ready

A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Which expressions represent the total amount Jordan will receive if he sells n games that originally cost d dollars each? Select two options.
d (n minus 18)
n (d minus 18)
d + n minus 18
d n minus 18 n
18 n minus d n

Answers

Answer:

d

Step-by-step explanation:

I already did this before

Answer:

it B and D

Step-by-step explanation:

winter coat was originally priced at 140$ and went on sale for 91$ by what percentage was the price of the winter coat reduced?

Answers

Answer:

35%

Step-by-step explanation:

Find out what percent 91 is of 140

91÷140 = 0.65

Then find out how much was reduced by subracting 0.65 from 1

1 - 0.65 =0.35

The coat was reduced by 35%

Which expression is equivalent to −78−(−34)


HELP PLEASE!

Answers

the answer would be D
76-(-34) those two - turn into a plus

what is the value of x? what is the length of MN.

Pls ASAP

Answers

Answer:

x = 20, MN = 36

Step-by-step explanation:

It is assumed the triangles in the picture are similar.

As per similarity, the ratio of corresponding sides is same.

Compare the ratios and find the value of x:

MN/JK = MP/JL(2x - 4)/12 = 15/5(x - 2)/6 = 3x - 2 = 18x = 20

Find the length of MN:

MN = 2*20 - 4 = 40 - 4 = 36

[tex]\\ \sf\longmapsto \dfrac{12}{5}=\dfrac{2x-4}{15}[/tex]

[tex]\\ \sf\longmapsto 15(12)=5(2x-4)[/tex]

[tex]\\ \sf\longmapsto 180=10x-20[/tex]

[tex]\\ \sf\longmapsto 10x=200[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

which system of equations cannot be readily solved by the substitution method 6x+12y=11

Answers

Answer:

Step-by-step explanation:

well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.

Which graph best represents the solution set of y 3 x − 4?

Answers

Answer:

Step-by-step explanation: i dont know but i still can help i think its answer The graph that best represent the solution set of y > 3x - 4 is D. The inequality is as follows: y > 3x - 4. lets find y when x = 0.

Use the information to answer the question.
A crew is loading crates onto a train. They can load 4 crates every 1.25 minutes. Each crate weighs 160 pounds.
C
=
At that rate, how many minutes would it take the crew to load crates with a total weight of 2400 pounds? Round the answer to the nearest
tenth. Enter the answer in the box.
minutes
Plz help me no links

Answers

Answer:

4.7

Step-by-step explanation:

2400/160 =15 crates

4/1.25=3.2 crates a minute

15/3.2=4.68 minutes

4.7 because it rounds up

To load 2400 pounds of crates crew will take around 4.69 minutes.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

Crew can load 4 crates every 1.25 minutes

4 creates ⇔ 1.25 minutes

Given,

1 crate = 160 pounds

So,

4 crate = 640 pounds

So,

640 pounds ⇔ 1.25 minutes

1 pound ⇔ 1.25/640 minutes

To load 2400 pounds

2400 pounds ⇔(1.25/640)2400 minutes

2400 pounds ⇔ 4.6875 minutes.

Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".

For more information about ratio and proportion,

brainly.com/question/26974513

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Find the area of a rectangle & triangle! NEED HELP ASAP

Answers

Answer:

For rectangle: A=wl

Step-by-step explanation:

Multiply the length by the with to find the answer

The perimeter of a square is 16 inches what is the length of each side?

Answers

If the total perimeter is 16 then each side would be 4 because we add each each side to find a perimeter. 4 + 4 + 4 + 4 = 16

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample?

Assign the homework questions the numbers 1–10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Answers

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.

How to Assign Random Numbers?

We are told that a teacher assigned 10 questions for homework and would like to randomly pick 3 questions to be graded. Now, this simply has to follow the correct procedure of random selection.

The procedure that the teacher should follow is as follows;

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Read more about Random Numbers at; https://brainly.com/question/251701

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