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

How about: 37×13×78. Simplify this, if you please.

Answers

Answer:

37518

Step-by-step explanation:

Clear your calculator.  Enter 37, followed by ×, and then 13, followed by ×, and then 78 and the ENTER key.  Result:  37518.

FINAL PART OF MY HW!!! PART 6!!! IT IS STILL UNIT RATE!!!!!​

Answers

Answer: Answer is on first screenshot

Step-by-step explanation:

How much does the state spend in tax dollars altogether?
a. 20 million dollars
b. 12 million dollars
c. 24 million dollars
d. 48 million dollars

Answers

Answer:

24 mill

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Haley is the head nurse at a hospital and must order supplies. If 1 4 of a package of bandages lasts 1 8 of the month, how many packages of bandages are needed for the entire month?

Answers

Answer:

2 Packages

Step-by-step explanation:

To last the whole month, we would need to multiply 1/4 by 8.

1 *8 = 8

4 * 1 = 4

8/4 = 2

I really really really need help with this

Answers

Answer:

404

Step-by-step explanation:

Simplify = 8 + 30 x 13 + 6

Left to right = 8 + 390 + 6

Result = 404

Leave a brainliest if this helped.

Answer:

404

Step-by-step explanation:

do the equation inside the brackets first (BIDMAS) - 5 x 6 = 30

48 / 6 = 8

8 + (30 x 13) + 6 = 38

30 x 13 = 390

8 + 390 + 6 = 404

Harry spends $7.83 on 3 bags of walnuts. The bags all cost the same amount. What is the cost of each bag?

Answers

Answer:

i think the cost of each bag is $2.61

Step-by-step explanation:

suppose the cost of each bag is $x

7.83 = 3x

7.83/3 = x

2.61 = x

so the cost of each bag is $2.61

2.61$ if you take 7.83 and divide it by 3 then you will have your answer.

Krista's snow fort has an area of 6228 sq inches if it is 72 in long what is the width

Answers

Answer:

86.5 inches

Step-by-step explanation:

6228 / 72 = 86.5

ANS WER AS SOON AS POSSIBLE
AND I WILL MARK U AS BRAINLIST

Answers

False

Take RHS = 6 x 105 + 6 x 102 = 6 x 100000 + 6 x 100 = 600000 + 600 = 600600 ≠ LHS Hence, RHS ≠ LHS

Hoped that helped!

Answer:

False

Step-by-step explanation:

use PEMDAS.

since there is no perenthesis you start with exponents.

10^5=100000

10^2=100

6*100,000+6*100

Next, you go to multipliation

600,000+600

Finally, you move on to addition

600,600

Why were people concerned with the East India Tea's Company monopoly over the

tea industry?

Answers

Answer:

You accedently put Mathematics I think you meant Social Studies haha

Step-by-step explanation:

Find the indicated side of the
triangle.
10
459
a
b = [?]

Answers

Answer:

b=a

Step-by-step explanation:

Pythagorean Theorem:

b = 10/√2

Pieter owns a currency conversion shop. Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed 3/10 of the 20 160 rand into euros. He changed the rest of the rands into dollars, rupees and francs in the ratios 9:5:2 Pieter changed more rands into dollars than he changed into francs. Work out how many more.

Answers

Answer:

6,174

Step-by-step explanation:

in total we have 20,160 rand.

3/10 of that is =  6048.

6048 rand is euros.

we now have a remaining 14,112 rand.

the rest of the rands is split up into 9:5:2

to find out how much one part equals we add 9, 5 and 2 together.

9 + 5 + 2 = 16.

We then divide the remaining 14,112 rand by 16 to find out one part.

14,112 / 16 = 882.

1 part = 882.

(dollars) 9 parts = 882 x 9 = 7,938 rand

(rupees) 5 parts = 882 x 5 = 4,410 rand

(francs) 2 parts = 882 x 2 = 1,764 rand

to find out how many more rands pieter changed into dollars than he changed into francs we need to minus 1,764 from 7,938.

7, 938 - 1,764 = 6,174

Pieter changed 6,174 more rands into dollars than francs.

Hope this helped :)

Determine which number is greater and tell how many times as great. 7×1012 and 3.5×109

Answers

7x1012 is greater by 18.56880733944954 times as much, or 18.56 if shortened

The mean length of time, per week, that students at a certain school spend on their homework is 24.3 hours, with a standard deviation of 1.2 hours. Assuming the distribution of study
imes is normal, what percent of students spend more than 25 hours per week on homework?
Round
your answer to the nearest hundredth.

Answers

Answer:

21.1%

Step-by-step explanation:

(25 - 24.3) / 1.2 = 0.5833 z score = 78.9%

You need the percent that spend more than 25 hrs per week, so 100 - 78.9 = 21.1%

Casey's grandmother sent her an $80 bookstore gift card for her birthday last year. This year, she sent her a $110 bookstore gift card. Which proportion can be used to find the percent of last year's gift that this year's gift is, if n represents the unknown percent?
A 100/110 = 80/n
B 80/110 = n/100
C 110/80 = n/100
D 101/100 = 80/n

Answers

The answer is to this question is B

finding the distance along a diagonal with the distance formula requires you evaluate a square root. true or false ?

Answers

Answer:

true

Step-by-step explanation:

Pythagoras is simply c² = a² + b².

so, it does not matter which side of the triangle we need, we will always have to solve a square root for the final result.

Question Is In The Picture

Answers

Answer:

30

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2

this theorem only works on triangles with an angle of 90 degrees or a right triangle.

18^2 + 24^2 = 900

the square root of 900 is 30

I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24

Answer is 30

Can someone help me with these equation

Answers

Answer:

6

Step-by-step explanation:

i think this is correct answer

the answer is b = 12


mark me

There is 46% hard working Elfs in the North Pole. there is 300 elfs in north pole. How many elfs are hard working

Answers

Answer:

138 hard working elfs

Step-by-step explanation:

the 46% of 300 is 138

Answer:

There is 138 Hard working Elves at the North Pole.

Step-by-step explanation:

300× 0.46= 138

y=
4
5
x+1
y=

3
5
x–6

Answers

Answer:

   

Step-by-step explanation:

Answer:

So, yea i cant get you an exact answer but... i can tell you howto solve it.

Step-by-step explanation:

IN this case you would need to rewrite it so it is on the left side!

Bye friend! :)

you have also wasted your time by going down heere so, YOUR FAULT

please help me with this as soon as possible

Answers

Answer:

the answer is i dont know XD

Step-by-step explanation:

Hi the answer to this is super easy what you have to do is to substitute x with the number given by the chart and you will get y
So if we want to do the first one it will be

Y = 4 x (1) - 3
Y = 4 - 3
Y = 1

For the second one we got x = 6
So we do the same thing but with 6 and say
Y = 4 x (6) - 3
Y = 21

It seems confusing at first but I’m sure you’ll get the hang of it

so easy read whats on the image

Answers

The answer is: J - 3.08 pounds

Option I ) 3.08 pounds

The reason being that it can't round up with the 2 so we just have that number to the hundredth

Kinsey adds -1 7/8 and it's opposite

Answers

Answer:

0

Step-by-step explanation:

the opposite is 1 -7/8 when you add them together they cancel out to zero

5+2x=2x+6

do anyone know the answer

Answers

Answer:

no solutions

Step-by-step explanation:

5+2x = 2x+6

Subtract 2x from each side

5+2x-2x = 2x+6-2x

5 = 6

This is not a true statement so there are no solutions

Make x the subject of the formula: y=x^{2} + 5

Answers

First, multiply both sides by (x - 5), so you end up with:

(x-5)y = x + 2

Which can be expanded to give you:

xy - 5y = x + 2

Now add 5y to both sides to obtain:

xy = x + 2 + 5y

Now subtract x from both sides:

xy - x = 2 + 5y

Factorise x out:

x(y - 1) = 2 + 5y

Divide both sides by (y - 1):

x = 2 + 5y/y - 1

There you go, x is now the subject.

The computer monitor to the right has a length of 44 inches and
a width of 38 inches. Find the length of the diagonal. Round your
answer to the nearest hundredth.

Answers

Answer:

58.14 inches

Step-by-step explanation:

Pitagoras:

Diagonal² = length² + width²

Diagonal² = 44² + 38²

Diagonal² = 1936 + 1444

Diagonal² = 3380

√Diagonal² = √3380

Diagonal = 58.137 = 58.14inches

A sporting event held at a high school had 135
attendees. The event earned a total of $930.
Admission to the event was $10 for adults and
$4 for students. How many adults (a) and how
many students (s) attended?
a + s = 135
10a + 4s = $930
[?] adults [ ] students

Answers

Answer:

65 adults and 70 students

The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .

What is elimination method?

In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.

According to the question

A sporting event held at a high school had 135 attendees.

In which adults and students are there .

Let adults be a

and students be s

Therefore,

The equation is

a + s = 135 ---------------------------(1)

Now,

The event earned a total of $930.

Admission to the event was $10 for adults and $4 for students.

i,e

10a + 4s = 930 ---------------------------(2)

Now , Using elimination method to solve both equations

a + s = 135 ---------------------------(1)

10a + 4s = $930 -------------------(2)

Step1: Multiplying equation 1 by 10

i,e

10a + 10s = 1350 -------------------(3)

Step2: Subtract equation (2) from (3)

10a + 10s = 1350 -------------------(3)

-10a - 4s = -930 -------------------(2)

6s = 420

s = 70

Now , Substituting the value of s in equation (1)

a + s = 135 ---------------------------(1)

a + 70 = 135

a = 65

Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .

To know more about elimination method here:

https://brainly.com/question/12090959

#SPJ2

While Jayden was at school, his house lost electrical power. By
the time the electrical power came back on the temperature inside the
house was 86°F. The air conditioner immediately started to cool the
house.Let f(x) represent the temperature, in degrees Fahrenheit, of
Jayden's house x minutes after the air conditioner started to cool the
house.What is the meaning of the statement f(25)=78?

Answers

Answer:

after 25 minutes the temperature was at 78 degrees

Step-by-step explanation:

A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an equation that shows the relationship between the elevation of the feather, y, and the number of seconds it has been falling, x

Answers

The question is an illustration of a linear function, and the equation that represents the function is [tex]y =-2x +10[/tex]

A linear function is represents as: y = mx + c, where:

m represents the slope or rate c represents the y-intercept

In this case, we have:

[tex]m = -2[/tex][tex]c = 10[/tex]

So, the equation becomes

[tex]y =-2x +10[/tex]

Hence, the equation of the function is [tex]y =-2x +10[/tex]

Read more about linear functions at:

https://brainly.com/question/14323743

At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12?

Answers

Answer:

24

Step-by-step explanation:

$2 divided by 4 equals 50 cents

50 cents per copy

$12 will get you 24 copies

Answer:

24 copies

Step-by-step explanation:

$2 ----- 4 copies

$1 ----- 4 ÷2= 2 copies

$12 ----- 2(12)= 24 copies

Alternatively, we can present our working this way:

For every $2, 4 copies can be made.

Number of sets of $2 in $12

= $12 ÷$2

= 6

Since there are 6 sets of $2 and each set of $2 can make 4 copies,

number of copies

= 6(4)

= 24 copies

please help asap

ty :)

Answers

Answer:

y = 3x + 6

Step-by-step explanation:

Since the line is parallel, it has the same slope -- 3

y = 3x + b, sub point (1, 9)

9 = 3(1) + b

9 = 3 + b

b = 9 - 3

b = 6

y = 3x + b -- y = 3x + 6

Answer is y=3x+6

The slope remains the same as it’s parallel. Then replace the x and y with the coordinates (1,9) —> 9=3(1)+b and solve for b. B will equal to 6 and you just put it in y=Mx+b format.
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