In a clothing store, 65% of the customers buy a shirt, 30% of the customers
buy a pair of pants, and 20% of the customers buy both a shirt and a pair of
pants.
If a customer is chosen at random, what is the probability that he or she buys
a shirt or a pair of pants?

Answers

Answer 1

Answer:

75%

Step-by-step explanation:

List out known probabilities

[tex]\Pr(shirt) = 0.65 = \frac{65}{100} = \frac{13}{20}\\ \Pr(pants) = 0.40 = \frac{30}{100} = \frac{6}{20}\\\Pr(shirt \cap pants) = 0.20 = \frac{20}{100}=\frac{1}{5}[/tex]

recall equation

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

Plug in values

[tex]\Pr(shirt \cup pants)=\frac{13}{20}+\frac{6}{20}-\frac{1}{5}\\\\therefore \Pr(shirt \cup pants) = \frac{15}{20} =\frac{3}{4} = 75\%[/tex]


Related Questions

What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
X
12
D 4 B
A. 3.1
O
B. 12
C. 6.9
O D. 4

Answers

Answer:

O A. 3.1

Step-by-step explanation:

it's correct if I'm rwong (*´ω`*)

Answer: The answer is C. 6.9

Step-by-step explanation:

(2.3x10^5) + (3.6x10^6)

Answers

Answer:

3.83 * 10^6

Step-by-step explanation:

When adding exponents, both the exponents and the bases should be the same. In this scenario, the bases are the same but not the exponents. What we should do is to decrease or increase one of the exponents and shift the decimal point over in one of the numbers to either left or right. I like to think of decrease, increase, and shifts as inward shifts and outward shifts when dealing with exponents in scenarios like this one. When I increase an exponet by an amount of times, the decimal point shifts left by the same amount of times. That's an outward shift. When the exponet decreases by an amount of times, the decimal point shifts right by the same amount of times. That's an in ward shift. There are two ways that we can simplify this scenario.

Way One:

(2.3 * 10^5) + (3.6 * 10^6)

(1) Raise the exponent 5 to 6 and move the decimal point in 2.3 to the left once. Now the bases and exponents are equal.

(0.23 * 10^6) + (3.6 * 10^6)

(2) Now add 0.23 and 3.6 then keep 10^6 for your exponential scenario.

3.83 * 10^6

(3) Check to make sure that there is only one number before the decimal. (in this case there is just one number before the decimal)

Final Answer: 3.83 * 10^6

Way Two:

(2.3 * 10^5) + (3.6 * 10^6)

(1) Decrease the exponent 6 to 5 and move the decimal point in 3.6 to the right once. Now the bases and exponents are equal.

(2.3 * 10^5) + (36 * 10^5)

(2) Now add 2.3 and 36 then keep 10^5 for your exponential scenario.

38.3 * 10^5

(3) Check to make sure that there is only one number before the decimal. (in this case there are two numbers before the decimal point; more steps!)

Not Yet Complete: 38.3 * 10^5

(4) Move the decimal point over until there is only one number before the decimal point and raise the exponent 5 to 6. (use the outward shift process!)

3.83 * 10^6

(5) Check for any flaws in your answers. (none left! we are done!)

Final Answer: 3.83 * 10^6

Overall, whatever way you choose to do this, you will get the same answer. I hope this helps and let me know if I am wrong! :D

The income statement of Carla Vista Co for the month of July shows net income of 2300 based on service revenue 6500, salaries and wages expense 2500, supplies expense 1100, and utilities expense 600. In reviewing the statement, you discover the following
Insurance expired during July of 600 was omitted
Supplies expense includes 150 of supplies that are still on hand at July 31
Depreciation on equipment of 250 was omitted
Accrued but unpaid salaries and wages at July 31 of 300 were not included
Services performed but unrecorded totaled 600

Answers

Answer:

-500

Step-by-step explanation:

2300-6500-2500--1100--600-150-250-+600

Convert the equation into Slope Intercept form (y=mx+b).
9y = -3x + 5

Answers

Answer:

y = -⅓ X + 5/9

slope = - ⅓

...

Answer:

slope intercept form is: (That is in the first pic)

y= - 1/3x + 5/9

slope = - 1/3

Step-by-step explanation:

See image below:) Hope this helps

Jessie has three one-gallon containers. The first one has 1/5 of a gallon of juice, the second has 1/5 gallon of juice and the third has 1/5 gallons of juice. How many total gallons of juice does Jesse have? ​

Answers

3/5 of a gallon which is .6 of a gallon


Need help finding constant rate of change!

Answers

Answer:

[tex]m = \frac{4}{7}\\[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The constant rate of change (m)

This is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

From the graph, we have:

[tex](x_1,y_1) = (3,4)[/tex]

[tex](x_2,y_2) = (10,8)[/tex]

So, the formula becomes:

[tex]m = \frac{8-4}{10 - 3}[/tex]

[tex]m = \frac{4}{7}\\[/tex]

At the beginning of a basketball season the Panthers won40 games out of 17 games at this rate how many games will they win in a normal 120 game season

Answers

Answer:

51

Step-by-step explanation:

The problem states "the Panthers won 40 games out of 17 games"

It is impossible to win more games than the number of games.

Perhaps the problem should state "the Panthers won 17 games out of 40 games"

If this is correct, then we can answer the question with a proportion.

17 wins is to 40 games as x wins is to 120 games

17/40 = x/120

40 * x = 17 * 120

Divide both sides by 40.

x = 17 * 3

x = 51

Answer: 51


What is the perimeter of an isosceles triangle with one side that
measures 5 ft. and two sides that measure 11 ft. each?

Answers

The perimeter is 27, to
find the perimeter you just add all sides nothing too special hope this helped!

Ashe and her two friends will run a relay race. The length of the race is 4/6 mile. If each person runs the same distance, how far will Ashe run?

Answers

Answer:

Ashe will run 6 miles

Step-by-step explanation:

4/6 x 3/1 = 12/6 divided by 6 (for numerator and denominator) = 6/1 = 6

Can anyone help me with this problem

Answers

9514 1404 393

Answer:

  8. A = {Delaware, New Jersey, Pennsylvania}

  9. |B| = 3

Step-by-step explanation:

8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:

  A = {Delaware, New Jersey, Pennsylvania}

__

9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.

  |B| = 3

Math Escape Level 3 plz hurry it is due to today bestie

Answers

Answer:

1

Step-by-step explanation:

x-9=-8

x=-8+9

x=1

how do u find the percent of 36 and 40? Thanks!​

Answers

36/40=0.9 so the percentage would be 9%
Hope this helped!

The Pentagon's ABCDE & PQRST are similar find the length X of QR


Please help I will give 50 points and give branliest!!!!

Answers

Answer:

x = 3.2

Step-by-step explanation:

Since they are similar the ratio of the side lengths must be the same

Using the bottom side and the unknown side from the left figure and the right figure

5            4

----- = --------

4            x

Using cross products

5x = 4*4

5x = 16

Divide by 5

x = 16/5

x =3.2

Evaluate the expression.
a - 7ab + b when a= 4 and b = -3

Answers

Answer:

85

Step-by-step explanation:

4 - (7 x 4 x -3) + -3

4 - (28 x -3) -3

4 - (-84) -3

88 - 3

85

The answer is 85 to your question

A sphere p has a volume of 75 cm cube. Find the volume of a sphere whose radius is twice the radius of p​

Answers

Answer:

https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate

find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).

which of the following is the equation of a line that would be perpendicular to the line whose equation is y=2x-5? helppp they're for finals

A. y=-2x+4

B. y=-1/2x+4

C. y=2x+4

D. y=-1/2x+4

Answers

D is the right answer. .

What is the y-value when x = 6?



Answers

Answer:

poooop

Step-by-step explanation:

ahhh this is easy first eat pizza then poop easy

please help need to solve this fastt

Answers

Answer:

1979

91%

Step-by-step explanation:

Given the relation :

P = (318t + 6792) / (1.19t + 107.36)

P = % of household with PC

t = years since 2000

1.) We need to find t, when P = 85%

P = 0.85

0.85 = (318t + 6792) / (1.19t + 107.36)

0.85(1.19t + 107.36) = (318t + 6792)

1.0115t + 91.256 = 318t + 6792

Collect like terms :

1.0115t - 318t = 6792 - 91.256

−316.9885t = 6700.744

t = 6700.744 / - 316.9885

t = - 21.138760

t = - 21 years

2000 - 21 years = 1979

Percentage who had computer in 2014

t = 2014 - 2000 = 14

P = (318(14) + 6792) / (1.19(14)+ 107.36)

P = (4452 + 6792) / (16.66 + 107.36)

P = 11244 / 124.02

P = 90.6627

P = approximately 91%

A=1/2 bh; solve for b
I need help anyone help me with this

Answers

Answer:

b=2A/h

Step-by-step explanation:

[tex]A = \frac{1}{2} bh \\ \\ \therefore \: 2 A = bh \\ \\ \therefore \: b = \frac{2 A}{h} [/tex]

Answer:

b = 2A/h

Step-by-step explanation:

To isolate b, you should first "get rid" of the 1/2. The best way to do this to multiply both sides of the equation by 2. The left side becomes 2A, while the right becomes bh (1/2 multiplied by its reciprocal, 2, becomes 1). Next, you have to move the h to the left side, and you could do so by dividing both sides by h. The left side becomes 2A/h, and the right is just b by itself, getting you b = 2A/h.

what is accounting? what is the target audience of accounting?

Answers

accounting is an action of financial accounts, the target audience is people who want to major in business/accounting.

Juanita is decorating for a birthday party. She buys more than 30 balloons and attaches 6 of them to the chair for the birthday girl. She also wants to attach balloons to each of the 4 tables, with the same number of balloons at each table. If n represents the number of balloons at each table, this situation can be represented by the inequality 6 + 4n > 30. What does the solution to this inequality represent? A. She must attach fewer than 6 balloons to each table. B. She can attach more than 6 balloons to each table. C. She must attach fewer than 9 balloons to each table. D. She can attach more than 9 balloons to each table

Answers

she can attach 6 balloons to each table making the answer letter A because she must attach less than 6

Consider the following exponential probability density function.  for x ≥ 0 If needed, round your answer to four decimal digits.(a) Find P(x ≤ 2). (b) Find P(x ≥ 3). (c) Find P(x ≤ 5). (d) Find P(2 ≤ x ≤ 5).

Answers

Answer:

Here the general formula is

[tex]P(X\leq x_{0} )=1 - e^{\frac{-x_{0}}{2} }[/tex]

a) [tex]P(X\leq 2 )= 0.6321[/tex]

b) [tex]P(X\geq 3 )= 0.2231[/tex]

c) [tex]P(X\leq 5 )= 0.9179[/tex]

d) [tex]P(2\leq X\leq 5 )= 0.2858[/tex]

Step-by-step explanation:

Now the solutions are,

a)

[tex]P(X\leq 2 )=1 - e^{\frac{-2}{2} }\\P(X\leq 2 )= 0.6321[/tex]

b)

[tex]P(X\geq 3 )=1-[1 - e^{\frac{-3}{2} }]\\P(X\geq 3 )= 0.2231[/tex]

c)

[tex]P(X\leq 5 )=1 - e^{\frac{-5}{2} }\\P(X\leq 5 )= 0.9179[/tex]

d)

[tex]P(2\leq X\leq 5 )=1 - e^{\frac{-5}{2} }-1 - e^{\frac{-2}{2} }\\P(2\leq X\leq 5 )= 0.2858[/tex]

HOW CAN STATISTICS BE USED TO COMPARE DATA SETS?

Answers

Answer:

i don't think you can compare statistics to data sets.

Step-by-step explanation:

Answer:

It can by being compared by using averages, box plots, the interquartile range and standard deviation.

You're welcome.

Horizontal lines are always perpendicular to _________ lines.

Answers

Answer:

Vertical

Step-by-step explanation:

/_

The functions f(x) and g(x) are shown on the graph.
f(x) = 11
What is g(x)?
10
у
g(x) = ?
f(x) = [X]
10
-5
10
-5
-10
A. g(x) = 1 1 - 3
B. g(x) = (x+31
C. g(x) = \x{ + 3
D. g(x) = 1x - 31

Answers

D g(x)=1x -31
Explanation: got it right

The function g(x) is g(x) = Ix + 3I.

The correct option is B.

What is transformation on the graphs?

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

horizontally moving the f(x) k unit coordinates may be drawn.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

Given that the parent function is f(x) = IxI.

From the definition,

the transformed function is moved horizontally to 3 units to the right.

So, the function is g(x) = Ix + 3I.

Therefore, g(x) = Ix + 3I.

To learn more about the transformation on the graphs;

https://brainly.com/question/19040905

#SPJ7

Consider polynomials P and Q.
P= 8y4 + 6y3 +8y
Q= (5y2 - 4y) (3y2 + 7)
Which operation results in an expression equivalent to 23y4 - 6y3 + 35y2 - 20y?
A. PQ
B. P +Q
C. Q - P
D. P - Q

Answers

B. P+Q
This the answer on edmentum

I need help I don’t know the answers to these

Answers

Answer:

its 5 because of the formula

Step-by-step explanation:

Answer:

90

2

O

I can't see the last question clearly

please help!!!!!!!!!!​

Answers

Answer:

y - 2 = 0

Step-by-step explanation:

find slope first:

(2-2)/(5+1) = 0/6 or 0

now use 'y=mx+b' to find the y-intercept (the 'b'):

2 = 0(5) + b

2 = b

so, in slope-intercept form, the equation is:  

y = 2

but, in standard form, the equation is:

y - 2 = 0

Apple plus apllle is

Answers

Answer:

2 apples

Step-by-step explanation:

one apples plus another is 2

Answer:

2.

1+1=2

1 apple plus 1 apple equals 2 apples

:P

Step-by-step explanation:

What is the value of f(-4)

Answers

Answer:

the correct answer is 10

Step-by-step explanation:

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