C and D are mutually exclusive events. Find P(C or D).
P(C)= 3/7= P(D)= 4/7
P(C or D)

Answers

Answer 1

Answer:

[tex]P(C\ or\ D) = 1[/tex]

Step-by-step explanation:

Given

[tex]P(C) = \frac{3}{7}[/tex]

[tex]P(D) = \frac{4}{7}[/tex]

Required

[tex]P(C\ or\ D)[/tex]

Since the events are mutually exclusive, then:

[tex]P(C\ or\ D) = P(C) + P(D)[/tex]

So, we have:

[tex]P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}[/tex]

Take LCM

[tex]P(C\ or\ D) = \frac{3+4}{7}[/tex]

[tex]P(C\ or\ D) = \frac{7}{7}[/tex]

[tex]P(C\ or\ D) = 1[/tex]


Related Questions

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Five students, Jeremiah, Claire, Alyssa, Brody, and Hudson, line up one behind the
other. How many different ways can they stand in line?

Answers

Answer:

25 dfferent ways

Step-by-step explanation:

The answer is 25 different ways because since there are students and thy line up behind each other you  would do 5 times 5 which equals to 25.

Find the solution set for this inequality:
-4(3x - 5) < 2(3x + 4)

A. x > -(1)/2
B. x < -(1)/2
C. x > 2/3
D. x < 2/3

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Answer is c I believe, so sorry if I’m wrong

Can you guys help me with this?

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Answer:

The leghts of AB is 9 because both of the triangles are symmetrical. But also, this is a Equilateral triangle, which means that both of the sides are the same lengths (AB=AC)

it’s 9 because the triangle is symmetrical!!

Must write and solve using a system of linear equation.
* 10. You have 39 math and science problems for homework. You
have 15 more math problems than science problems. Use the
model to write a system of linear equations. How many problems
do you have in each subject?

Answers

Answer:

Science problems= 12

Math problems= 27

Step-by-step explanation:

If

x= math problems for solving

y= science problems for solving

x+y=39

y=x-15

Using substitution method:

x+(x-15)=39

2x-15=39

2x=39+15

x=(39+15)/2

x=27

Having "x" lets find out "y" value.

x+y=39

27+y=39

y=39-27

y=12

At his birthday party, Aiden collected 15% of the candy that fell out of the pinata. If Aiden collected 6 pieces of candy, how many pieces of candy fell out of the pinata?

pls help its today

Answers

Answer:

40 pieces

Step-by-step explanation:

To make it easier I divided each number (15, 6) by 3 and then multiplied by 2.

10% of candy = 4 pieces

Multiply by 10

100% of candy = 40 pieces

Which two integers is -√21 between?

Answers

Answer:

-5 and -4

Step-by-step explanation:

-√21  =  -4.58

PLEASE HELP PLEASE! I AM SO STUCK!

Answers

f(x) = |7m + 4| = 1

First equation by taking positive modules

7m + 4 = 1

7m = -3

m = -3/7 . Ans.

Second equation by taking negative modules

-7m - 4 = 1

-7m = 5

m = -5/7 . Ans.

∴ m = [ -5/7 U -3/7 ] Ans .

What balance will be in an account that has an initial deposit of $4600 with an APR of 1.8%? The money is compounded quarterly for 30 years.

help

Answers

Answer: i cunfused sorry just relly need the points i have zero sorry hope you find an awser good luck

Step-by-step explanation:

pls help me understand this pls show how u got it​

Answers

Answer:

25 inches

Step-by-step explanation:

Area is given as 75 in^2

Area of a triangle = 1/2 * base * height

             75            = 1/2 (6) * height

             75 / (1/2 * 6) = height

                     25 inches = height

I need the answer ASAP

Answers

Answer:

[tex]y=-\frac{1}{5} x-1[/tex]

Step-by-step explanation:

Hi! Welcome to brainly!

So slope intercept form - y = mx + b

where m = slope and b = y intercept

First lets find the y intercept

The y intercept is at (0,-1)

B would equal the y value of the y intercept so b = -1

now lets find the slope

To do so we can pick 2 points on the line and use the slope formula

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

the points can vary but i chose the points (5,-2) and (10,-3)

having found the points we plug them into the formula

[tex]m = \frac{-3-(-2)}{10-5} \\-3-(-2)=-1\\10-5=5\\m=-\frac{1}{5}[/tex]

now that we have found all of the information we plug the values into the equation and get that the answer is

[tex]y=-\frac{1}{5} x-1[/tex]

each group of students receives a bag that has 4 red cubes, 9 green cubes and 7 blue cubes if if each group makes 200 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?

Answers

There are 20 cubes total. Green cubes make up 9/20 of the cubes. So if you make 20 pulls with replacement you would expect to get 9 green cubes. Therefore, you would expect to pull a green cube 90 times after pulling 200 cubes.

Determine the value of x so that the numbers a1 = In(x + 2). a2 = In(x + 3).
a3 = In(4x + 8) form three consecutive members of an arithmetic sequence.
Select one:
a. Such x does not exist.
b. x = -+1
c. There are two possible solutions.
d. x = -1
e. None of the remaining possibilities is correct.

Answers

Answer:

Step-by-step explanation:

hello :

the numbers a1 , a2 ,a3

form three consecutive members of an arithmetic sequence means : 2a2 = a1+,a3

2 In(x + 3) = In(x + 2)+In(4x + 8)....(*)

now solve this equation use this note :

ln a^n = alna and : lna+lnb =lnab lna =lnb means : a=b ...a , b positif numbers

(*) equivaut : In(x + 3)² = In(x + 2)(4x + 8) and : x + 2 ,x + 3 , 4x + 8

are positifs numbers

(x + 3)² = (x + 2)(4x + 8)

x²+6x+9 = 4x²+16x+16

3x²+10x+7 =0

delta =10²-4(3)(7) 100 -84 = 4²

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x 2 = (-10+4)/6 = -1 reused

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Answers

Answer:

1/3

Step-by-step explanation:

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Answer:

l

Step-by-step explanation:

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Answer: Its answer A

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Solve for f(-7)

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Answers

Answer:

7 f + 5 ??

Step-by-step explanation:

Find the angle between the two vectors to the nearest tenth of a degree u= (6 4) v= (7 5)

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Answer: 1.8

Step-by-step explanation:

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Answers

53 flowers were picked.
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Answers

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a) 7/10

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Factor 7/10 out of 7/10z+21.

7/10z+21=

Answers

Answer:

1/100 (1471 z + 2100)

0.01 (1471 z + 2100) the result I got

and the Factorization over the splitting field:

14.71 z + 21

Mrs. Johnson works as a Librarian and makes $46,320 per year. Mr. Rivera makes $75,490 per year working as an Actuary. Which statement below accurately describes the difference in their salaries over time?
A B Mrs. Johnson will make $125,760 less than Mr. Rivera over a 5-year period.
B Mrs. Johnson will make $194,800 less than Mr. Rivera over a 10-year period.
C Over a 15 year period Mr. Rivera will make $377,450 more than Mrs. Johnson. C
D Over a 15 year period Mr. Rivera will make $437,550 more than Mrs. Johnson. ​

Answers

Answer:

ima say B

Step-by-step explanation:

I’m not 100% sure so I could be wrong

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Answer:

A

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Find the range of the data.
67, 63, 72, 62, 64, 81, 74, 66
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If the discount is 27%, then what percentage of the original price do you pay? Please give an explanation as well if you can! Thank you in advance.


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Answers

100-27=73
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Find the percent of change from 32 feet to 79 feet. Round to the nearest tenth, if necessary. Then state whether the percent of change is percent of increase or percent of decrease.

Answers

Answer:

71 1/4%

Step-by-step explanation:

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Given: ΔLFP, LF = FP LK ⊥ FP , PD ⊥ LF Prove: LK = PD
Please provide proof and the rule (AAA, ASA, etc.) as well.

Answers

Answer:

LF = PF                   given

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                               congruent, then angles opposite those sides are

                               congruent.

LP = PL                    reflexive property

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RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y

Answers

Answer:

y = 4

Step-by-step explanation:

Given that,

RS= 4y+2, ST = 3y+8, and RT = 38

We need to find the value of y.

As,

RT = RS+ST

Put all the values,

38 = 4y+2+3y+8

38-2-8 = 4y+3y

28 = 7y

y = 4

So, the value of y is equal to 4.

Of three consecutive odd integers, k is the middle one. If the difference between
the products of the last two and first two is 28, find the three integers.​

Answers

Oh yeah yeah I don’t know ‍♀️

Please help meeeeeeeeeeeeeeeee please

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9514 1404 393

Answer:

  2.1 ft³

Step-by-step explanation:

Put the given radius and height into the volume formula and do the arithmetic.

  V = 1/3πr²h

  V = 1/3(3.14159)(1 ft)²(2 ft) ≈ 2.094 ft³

Rounded to tenths, this is 2.1 cubic feet.

__

The picture cuts off your rounding requirements. If it is hundredths, you need to use 2.09 ft³. If it is thousandths, your answer will depend on the value of pi you are asked to use.

Find the lateral area of this cone.
Leave your answer in terms of a.
12cm
5cm
LA = [ ?]

Answers

The answer is
A=65pi cm2
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