Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.
P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
What is the probability of the complement of Event A?

A) 1.00
B) 0.55
C) 0.10
D) 0.45

Answers

Answer 1

Answer:

B) 0.55

The probability of the complement of Event A ( P( A⁻ ))  = 0.55

Step-by-step explanation:

Explanation:-

 Given  Event A and Event B are mutually exclusive.

  Given data P(A) = 0.45

                     P(B) = 0.35

                     P(C) = 0.25

The probability of the complement of Event A

                   P( A⁻ ) = 1 - P( A)

                              =  1 - 0.45

                              = 0.55

Final answer:-

The probability of the complement of Event A = 0.55

   

Answer 2

The probability of the complement of Event A is equal to  0.55

The probability of the complement of Event A ( P( A⁻ ))  = 0.55

Given  Event A and Event B are mutually exclusive.

 We have given data P(A) = 0.45

                    P(B) = 0.35

                   P(C) = 0.25

The probability of the complement of Event A.

What is the formula for the compliment of the event?

P( A⁻ ) = 1 - P( A)

Use the given value in the above formula we have,

=  1 - 0.45

= 0.55

The probability of the complement of Event A is equal to 0.55.

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Related Questions

What is the slope of the line that contains the points (-2, 1) and (0, -3)?

Answers

Answer:

-2

Step-by-step explanation:

To find the slope we use the formula

m = (y2-y1)/(x2-x1)

   = (-3-1)/(0- -2)

  = -4 / (+2)

  = -2

Can someone please help

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Answer:

Step-by-step explanation:

8x^2 - 2x^2 - 3x + 8x  + 1/3 - 3/5

6x^2 + 5x + 5/15 - 9/15

6x^2 + 5x - 4/15

the solution is the third one C

Write as an algebraic expression

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Answer:

18.) 10x

20.) k - 24

22.) 12 - 9

Step-by-step explanation:

a slushy machine fills 25 containers that hold 64 oz of liquid in a day. how many quarts is this?

Answers

Answer:

50 quarts

Step-by-step explanation:

64oz*25=1600oz

1600oz/32=50q

(32oz in each quart)

Your answer would be 50 quarts


A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?

Answers

Answer:

30%

Step-by-step explanation:

Think of the 10 as 100%. 2 as 20% and so on. The green makes up 30%.

pls help me 13 minute left 10 POINTS

Answers

Answer:

The answer is 6.28.

Step-by-step explanation:

The formula for finding the circumference is C=2 times 3.14 times the radius of the circle. 3.14 times 2 equals 6.28 times the radius which is 1 feet (because half of 2 feet equals 1 feet). 6.28 times 1 equals 6.28.

The answer is 6.28 !!!!

evaluated 5x - (x + 3)2 for x = 2, 

Answers

Answer:

0

Step-by-step explanation:

5x - (x+3)2

5x - (2x+6)

5x - 2x -6

3x - 6

3(2) - 6

6 - 6

0

Please help! Correct answer only!

Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Need help plotting this on a number line

Answers

Answer:

Fill in the long -5/2 on the number line and draw a ray extending to the left

Step-by-step explanation:

What is the slope of the line that contains the points (-32, 23) and (-32, -19)?

Answers

Answer:

undefined

Step-by-step explanation:

The slope of a line is given by

m = (y2-y1)/ (x2-x1)

    = ( -19 -23)/(-32 - -32)

     = 42 / 0

Dividing by zero gives us an undefined answer so the slope is undefined

Please help me answer these two questions!! Brainliest to be given!!

Answers

Answer:

a=2

b=93

I hope this helps you

Step-by-step explanation:

Answer:

1. 2  

2. 93

Step-by-step explanation:

First we have to put the values of x and y into the equation

4(3)-2(5)

(4×3)-(2×5)

12-10=2

Now the second one

2(3)²+3(5)²

18+75=93

Pedro runs 9/10 of q mile each day how many miles does Pedro run in 6 days

Answers

Answer: 1.35 miles

Step-by-step explanation:

9/10th of quarter mile = 9/40

For 6 days

9/40 x 6 = 27/20 = 1.35 miles

Find the equation of the circle whose center and radius are given. center ( 7, -3), radius = √7

Answers

Answer & Step-by-step explanation:

The equation of a circle is...

[tex](x-x1)^2+(y-y1)^2=r^2[/tex]

So all we have to do is plug in the numbers we are given.

So, the equation of the circle is (x - 7)² + (y + 3)² = √7²

Answer:

[tex](x - 7)^{2} + (y + 3)^{2} = 7[/tex]

Step-by-step explanation:

Just finished this quiz and checked the answer key.

Hope this helps

James is following this recipe to make flapjacks.
James uses 450 g of sugar.
How many flapjacks is James making?

Recipe: Makes 8 flapjacks
125 ml syrup
90 g sugar
180 g oats
125 g margarine
30 g sultanas

Answers

Answer:

40

Step-by-step explanation:

90/8=11.25 (1 flapjack)

11.25x40=450

anyone good at maths who can help me?
brainiest will be given, THANK YOU!!!

Answers

Answer:

Step-by-step explanation:

83% of 408:

83/100 x 408 = 338.64 pounds

41% of 53 :

41/100 x 53 = 0.41 x 53 = 21.73 kg

97% of 345m:

0.97 x 345 = 334.65

please mark brainiest

83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We need to find

a)83% of 408 pounds

Firstly we need to convert 83% to decimal by dividing with 100.

83/100=0.83

Now multiply 0.83 with 408

0.83×408=338.64

b)41% of 53 kg

Firstly we need to convert 83% to decimal by dividing with 100.

41/100=0.41

Now multiply 0.41 with 53

0.41×53=21.73

c)97% of 345m

Firstly we need to convert 97% to decimal by dividing with 100.

97/100=0.97

Now multiply 0.97 with 345

0.97×345=334.65m

Hence 83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m

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Si en 1950 el 30% de la población global, alrededor de 700 millones de personas habitaban
en zonas urbanas. Calcule mediante procedimiento matemático la población total y la
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Answers

Answer:

zonas urbanas =>  30  % de la poblacion => 700 millones

poblacion total =>  100 % de la poblacion =>   x      =>  2333.3 millones

poblacion rural => 70% de la poblacion => x - 700  => 1633.33 millones

[tex]x = \frac{700 \times100}{30} =2333.3[/tex]

[tex]x-700=2333.3-700=1633.33\\[/tex]

Given that Triangle ABC such that
a=8cm, b=7cm and c=9cm
tem and c= 9cm find Cos B​

Answers

Answer:

We use cosine rule also called cosine law which states

c^2=a^2+b^2-2abcosC

given

a=8cm, b=7cm, c=9cm cos C?

9^2=8^+7^2-2*8*7 cos C

expand

81=64+49-112 cos C

like terms together

81-113=-112 cos C

-32=-112cos C

multiply both sides by -1

32=112cos C

divide both sides by 112

32/112=cos C

cosC=0.2857

find cos inverse of 0.2857

angle C= 73.40

LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS


What geometric construction is in progress in the image?

A) Constructing an interior arc
B) Bisecting a ray
C) Copying an angle
D) Bisecting an angle

Answers

Answer:

Bisecting an Angle.

Step-by-step explanation:

This image shows the Bisection of an Angle. The 'x' shaped mark between the angle is formed when a protractor is used to mark the place in which a ray must pass through the center of the 'x' to be an equal bisection of the angle. This shows that the process that is being undergone is finding the bisection of the angle.

Answer:

bisecting an angle

just took the test!

Step-by-step explanation:

Keeping the properties of exponents in mind to what power must your raise the expression 7 1/2 to get 7 as a result

Answers

Answer:

x=2

Step-by-step explanation:

(7^ (1/2))ˣ = 7¹

1/2 *x =1

x =2

which of the following descriptions represent the transformation shown in the image? Part 1b​

Answers

Answer: b) 2 units left, 4 units up, reflect across y-axis

Step-by-step explanation:

The easiest way to do this is to graph the black triangle using the the given options to see which one lands on the red triangle.

The second option is the one that works.

10. Salt and sand mixtures are often used on icy roads. When the mixture is 1 point
dumped from a truck into the staging area, it forms a cone-shaped mound
with a diameter of 100 feet and a height of 60 feet. What is the volume of
the salt-sand mixture?*

Answers

Answer:

The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cone-shaped mound is 100 feet

Height of a cone-shaped mound is 60 feet

It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

r is radius of cone, r = 50 feet

So,

[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]

So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

Brenden bought 20 bananas and apples, at $1.20 per banana and
$1.40 per apple. The total cost was $26.
How many bananas and apples did he buy, respectively?​

Answers

Answer:

hey so im guessing its 10 bananas and 10 apples

Step-by-step explanation:

1.2x 10=12

1.4x10= 14

12+14=26

Gabrielle went on a 72 mile trip to a soccer game. On the way back, due to road construction she had to drive 18 miles per hour slower. This made the trip take 9 hours longer. How fast did she drive to the soccer game?

Answers

Answer:

Gabrielle drove to the soccer game at the speed of 18 miles/hour

Step-by-step explanation:

Given: Distance covered = 72 miles

On the way back, she had to drive 18 miles per hour slower due to road construction which made the trip take 9 hours longer.

To find: speed

Solution:

Let speed be x miles/hour

Time taken = distance covered/time taken = [tex]\frac{72}{x}[/tex]  hours

On the way back, she had to drive 18 miles per hour slower due to road construction

So, new speed = ( x - 18 ) miles/hour

Time taken as per new speed = [tex]\frac{72}{x-18}[/tex]  hours

According to question,

[tex]\frac{72}{x-18}-\frac{72}{x}=9\\\frac{1}{x-18}-\frac{1}{x}=\frac{9}{72}\\\frac{x-x+18}{x(x-18)}=\frac{1}{8}\\x^2-18x-144=0\\x^2-24x+6x-144=0\\x(x-18)+6(x-18)=0\\(x-18)(x+6)=0\\x=18\,,\,-6[/tex]

Being a speed, x can not be negative. So, [tex]x=-6[/tex] is rejected

So,

Gabrielle drove to the soccer game at the speed of 18 miles/hour

7x + 14 - 17-3x = 6x - 4z + 2 - 5 find the value of x
3 5 3

Answers

Answer:

when z=3 or 5 , values of x is ; 6 or 10.

I think that there is a lack of information or misspelling in the question.

Step-by-step explanation:

4x-3=6x-4z-3

4z=2x

2z=x

z=3 => x=6

z=5 => x=10

The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?

Answers

Answer:

18 x, 36y.

Step-by-step explanation:

18x, 36y.

The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?

So y: 2x (since its double the x)

So

2x = 4x - 36

Doing the math....

18x. since y= 2*x, 36y.

(I got help for this one, credits to jess :) )

hope this helps! :)

The value of X is 18.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of X and Y = 1 : 2

This means,

X/Y = 1/2

X = x

Y= 2x

Now,

y = 4x - 36

From (2),

2x = 4x - 36

36 = 4x - 2x

36 = 2x

x = 18

Now,

From (1),

X = x = 18

Thus,

The value of X is 18.

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The y-intercept of the graph of y=(x-c)(x-d)^3 is

Answers

Answer:

Just Make x=0

[tex]y_i=(-c)(-d)^3=cd^3[/tex]

Please answer this it's pre-algebra I will give brainliest and thanks

A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?

Answers

Answer:

14 4 point questions and 26 2 point questions

Step-by-step explanation:

i just know

The human lung has about 80 million alveoli. Give two features of the alveoli that allow large amounts of oxygen to enter the blood.

Answers

Answer:

Alveoli forms the respiratory surface in human body.Each alveolus is sac like structure bounded by a single layer of epithelial cells.It is bound on the outside by a network of capillaries. The pulmonary artery from the heart containing deoxygenated blood enters the lungs and then becomes oxygenated after passing in the capillaries through the lungs.

which of the following descriptions represents the transformation shown in the image?​

Answers

Answer:

A

Step-by-step explanation:

It is a 90-degree rotation counterclockwise 2 units left and 3 units down.

A bag contains purple marbles and blue marbles, 38 in total. The number of purple marbles is 5 more than 2 times the number of blue marbles. How many purple marbles are there?

Answers

Answer:

27 purple marbles

Step-by-step explanation:

purple marbles- pblue marbles- b

Equations based on the given:

p= 2b +5 and  p+b= 38

2b+5+b= 38 ⇒ 3b+5= 38 ⇒ 3b= 33 ⇒ b= 11p= 38-11= 27
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