Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case one of them does not show up. From past experience, Christine knows that there is a 55% chance that Dave will not show up and a 45% chance that Mike will not show up. Dave and Mike do not know each other and their decisions can be assumed to be independent. a. What is the probability that both Dave and Mike will show up

Answers

Answer 1

Answer:

a) 26.79%, b) 50.42% and c) 22.79%

Step-by-step explanation:

a. What is the probability that both Dave and Mike will show up?

As decisions of showing up can be assumed to be independent, the probability will be given by

(1-0.53)(1-0.43)=(0.47)(0.57)=0.2679=26.79%

b. What is the probability that at least one of them will show up?

There are two possibilities for this to happen:

Dave shows up but Mike does not. The probability of Dave to show up is (1-0.53)=0.47 and the probability that Mike does not is 0.43. Then, as these events are independent, the probability for both of them to happen is (0.47)(0.43)=0.2021=20.21%

Mike shows up but Dave does not. The probability of Mike to show up is (1-0.43)=0.57 and the probability that Mike does not is 0.53. Then, as these events are independent, the probability for both of them to happen is (0.57)(0.53)=0.3021=30.21%

Therefore, the probability that at least one of them will show up? is 20.21%+30.21%=50.42%.

c. What is the probability that neither Dave nor Mike will show up?

As decisions of showing up can be assumed to be independent, the probability will be given by

(0.53)(0.43)=0.2279=22.79%


Related Questions

Which of the following is a solution to the inequality below?
10b≤ 59
A.) b=2
B.) b=7
C.) b=11
D.) b=9

Answers

Answer:

A.) b=2

Step-by-step explanation:

10b ≤ 59

Divide both sides by 10.

b ≤ 5.9

Any number that is 5.9 or less than 5.9 is a solution.

The only such number in the choices is 2.

Answer: A.) b=2

Is the graph increasing, decreasing, or constant?
O A. Constant
O B. Increasing
C. Decreasing

Answers

Answer:

increasing according to me

Step-by-step explanation:

..

A tank that is 40% full contains 640 gallons of water. What it's full capacity?

Answers

Answer:

1,600

Step-by-step explanation:

Please answer these questions on circumference for BRAINLIEST and extra points if correct!

Answers

Answer:

1 a: 1.46

2 a : .73

3 a : 1.54

____

1 b: 9.42

2 b: 2.9

3 b: 16.96

- I hope that helps :)

Step-by-step explanation:

3 is less than w, and 8 is greater than w

Answers

Answer:

Whats the question?

Step-by-step explanation:

Srry i couldnt help

Answer: 3 < w < 8

Step-by-step explanation:

If 3 is less than w you would write that as 3 < w.

Now you have 8, which is greater than w and that is written as 8 > w or w < 8.

Therefore, 3 < w < 8

what is the elasped time between 1:35 and 6:00

Answers

Answer:

4 hours 25 minutes

Step-by-step explanation:

subtract 1.35 from 6.00 and recall that 60 minutes make one hour. = 6.00 - 1.35. = 4.25

-3x^2+ 3
What is the difference quotient

Answers

Answer:

-6x - 3h

Step-by-step explanation:

Write as a function.

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

Consider the difference quotient formula.

[tex]\frac{f(x+h)-f(x)}{h}[/tex]

Find the components of the definition.

[tex]f(x+h)=-3h^{2}-6hx-3x^{2}+3\\f(x)=-3x^{2}+3[/tex]

Plug in the components.

[tex]\frac{f(x+h)-f(x)}{h}=\frac{f(x+h)=-3h^{2}-6hx-3x^{2}+3}{h}[/tex]

Simplify

[tex]\frac{3h(-h-2x)}{h}[/tex]

-6x - 3h

good luck, i hope this helps :)

I NEED HELP ASAP! ILL GIVE YOU 10 POINTS FOR THE RIGHT ANSWERS PLEASE!!!!!

Answers

Part A:
f(x) = 20x
Part B:
6 gallons

What fraction or whole number on the number line 1/9 closest to?

Answers

Answer:

i dont understand either

Step-by-step explanation:none

A isosceles triangle
B right triangle
C equiangular triangle
D equilateral triangle

Answers

The anwser is question b. There is a 90 degree angle
right angle triangle

please follow me

I’ll mark u as brainliest!!! Where could point E be located on the coordinate plane ?

Answers

It is located in quadrant 4 hope this helps

yup if I'm not mistaken it's supposed to be iv

Distribute. 8(x+30)+5

Answers

Answer:

8x + 245

Step-by-step explanation:

8(x + 30) + 5

8x + 240 +5

8x + 245

good luck, i hope this helps :)

please help does anyone know this

Answers

You Can Make A Foto In The App And Then the app Solve the problem Then you got your answer

what slope equation is parallel to y=5x-10

Answers

Answer:

y = 5x + (anything except negative 10)

For example:

y = 5x + 5

Step-by-step explanation:

A parallel equation is any equation with the same slope, but a different y intercept. As long as your y intercept isn't - 10, your answer will be parallel.

A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.3 mm. According to the formula below, what would be the volume of one of these bubbles? r = root(3, (3V)/(4s))​

Answers

v= 4πr³ / 3

V = 4(3.14) (0.3)³ / 3

V = 0.11 mm³

Option A
The volume would be answer A.

Prior to the Academy Awards ceremony in 2009, the United Kingdom bookmaker Ladbrokes reported the following odds for winning an Oscar in the category of best actress (The Wall Street Journal, February 20, 2009).
Best Actress Movie Odds
Anne Hathaway Rachel Getting Married 2:11
Angelina Jolie Changeling 1:20
Melissa Leo Frozen River 1:33
Meryl Streep Doubt 3:10
Kate Winslet The Reader 5:2
a. Express the odds for each actress winning as a probability. (Round your answers to 3 decimal places.)
Best Actress Probability
Anne Hathaway
Angelina Jolie
Melissa Leo
Meryl Streep
Kate Winslet

Answers

Answer:

Anne Hathaway: 0.154 = 15.4%

Angelina Jolie: 0.048 = 4.8%

Melissa Leo: 0.029 = 2.9%

Meryl Streep: 0.231 = 23.1%

Kate Winslet: 0.714 = 71.4%

Step-by-step explanation:

Odds to probability:

Odds of a:b

The probability is given by:

[tex]p = \frac{a}{a+b}[/tex]

Anne Hathaway 2:11

So [tex]p = \frac{2}{2+11} = \frac{2}{13} = 0.154[/tex]

Angelina Jolie 1:20

So [tex]p = \frac{1}{1+20} = \frac{1}{21} = 0.048[/tex]

Melissa Leo 1:33

So [tex]p = \frac{1}{1+33} = \frac{1}{34} = 0.029[/tex]

Meryl Streep 3:10

So [tex]p = \frac{3}{3+10} = \frac{3}{13} = 0.231[/tex]

Kate Winslet 5:2

So [tex]p = \frac{5}{5+2} = \frac{5}{7} = 0.714[/tex]

Need help immediately I will give brainilest

Answers

The answer will be 48

Answer:

the answer is 12

I think


Eliana worked 16 1/2 hours for the first week of the month and 16 1/4 hours the second week of the month. Her pay for these 2 weeks was $412.65. How much did Eliana earn per hour?

Answers

Answer:

She earned $12.60 per hour

Step-by-step explanation:

Pay was $412.65

Hours worked = 16.5 + 16.25 = 32.75 hrs

hourly rate = $$/hrs = 412.65/32.75  = 12.6

She earned $12.60 per hour

If a=6 and b=24 what is (a+b)^2

Answers

Answer:

900

Step-by-step explanation:

6+24=30

30^2=900

Answer:

900

Step-by-step explanation:

(a+b)^2

(6+24)^2

30^2= 900

please help me the first person gets brainlest

Answers

Answer:

“Help with what?“

Step-by-step explanation:

Answer:

did you forget the pic?

Step-by-step explanation:

You deposit $3000 in an account earning 5% interest compounded monthly. How much will you have in the account in 15 years?

Answers

Answer:

9000

Step-by-step explanation:

Answer:

6236.78454 or 6236.78

Step-by-step explanation:

Use formula A=P(1+r)^t

A=3000(1+0.05)^180/12

*convert 15 years to moths* 180 months

A=3000(1.05)^180/12

A=3000(2.07892818 )

A=6236.78454 or 6236.78

Hope this helps ^-^

distance of -2,-6 and 4,2​

Answers

Step-by-step explanation:

distance = -6-(-2) and 4-2

-6+2 and 2

-4 and 2 is distance

Answer:

[tex]d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]

d = √(4 - (-2))² + (2 - (-6))²

d = √36 + 64

d = 10

Whodunnit worksheet, It’s math there are 10 clues and you have to find the last know whereabout, the method and the players, this is just the first sheet

Answers

For the given triangle the statement that is true for length x is -

x < 9

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

The length of 1 side is = 5 units

The length of second side is = 4 units

A key geometrical concept that connects the lengths of a triangle's sides is the triangle inequality theorem.

It stipulates that the length of the remaining side must be greater than the sum of the lengths of any two sides of a triangle.

The triangle inequality theorem can be written out as follows if a, b, and c are the lengths of a triangle's sides:

b + c > a

a + c > b

b + a > c

Since the sum for the given triangle is 5 + 4 = 9

So, the third side must be less than 9.

Therefore, the inequality is x < 9.

To learn more about triangles from the given link

https://brainly.com/question/25215131

#SPJ1

Select all equations for which -3 is a solution.

2x3 = -27
0 -2 =9
O ? = 9
O 3 = 27
O x2 = -9
O (-2)2 = 9

Answers

Answer:

look it up

Step-by-step explanation:

The girls hockey team has 7 sixth grade and 9 seventh grade students on their team. What is the ratio of seventh grade students to sixth grade students?​

Answers

Step-by-step explanation:

7:9 I'm pretty sure that's it

Notation: Segment YQand Notation: Segment XP are altitudes to the congruent sides of isosceles triangle WXY.


Select all the true statements.

Answers

Answer:

Isosceles triangle has two equal sides and two congruent bases.

Step-by-step explanation:

Isosceles triangle has three sides out of which two are equal. It has two congruent sides. The angle opposite to base is vertex. The two sides of the triangle are congruent and the angles opposite to these sides are also congruent. It is a special type of triangle which is also called equilateral triangle.

Chapter 6 Study Guide
Tickets for a school play cost $6 for adults and $4 for students. At the end of the play, the school sold a total of 60 tickets
and collected $360

Answers

Answer:

what is the question

Step-by-step explanation:

Adult tickets cost $9 each and student tickets cost $6 each. A total of 29 tickets were sold worth $210. How many adult tickets were sold?

Answers

Answer: 12 adult tickets where sold

Step-by-step explanation:

The population of Yuba City, California is 61,360 people. What is 61,360 rounded to the nearest thousand? * 5 points

Answers

Answer: 61,000

Step-by-step explanation:

61,360 is nearest to 61,000 then too 62,000

Answer:

61,000

Step-by-step explanation:

if its under 5 rather it being 5 50 500 etc you put it to the smallest number in this case you look at the hundreds which is a 3.

The number 312.8 is 34% of x. What is the value of x

Answers

Answer:

Step-by-step explanation:

312,8/(34/100)

=920,00000

This is the answer

100% = 920

Can i be brainliest have a nice day

The value of x rounded to the nearest whole number is 920.

What are Percentages?

A percentage is a way to describe a part of a whole such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the number 312.8 is 34% of x.

Thus, we can write,

34% of x = 312.8

(34/100) × x = 312.8

Now, Multiply both the sides of the equation by 100,

(34/100) × x × 100 = 312.8 × 100

Now, Divide both the sides of the equation by 34,

[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38

x = (312.8 × 100)/34

x = 920

Therefore, the value of x rounded to the nearest whole number is 920.

Learn more about Percentages here:

brainly.com/question/6972121

#SPJ2

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