Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start with rain clouds in the air, 20% of all days start with clouds in the air, and rain only typically occurs on 1 out of every 10 days, what is the probability that it will rain today and ruin your picnic

Answers

Answer 1

Answer:

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Cloudy skies

Event B: Rain

20% of all days start with clouds in the air

This means that [tex]P(A) = 0.2[/tex]

50% of rainy days start with rain clouds in the air

50% of 10%. So

[tex]P(A \cap B) = 0.5*0.1 = 0.05[/tex]

What is the probability that it will rain today and ruin your picnic

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25[/tex]

0.25 = 25% probability that it will rain today and ruin your picnic


Related Questions

what is -5xy and 8xy​

Answers

Answer:

3xy

Step-by-step explanation:

Answer10:

Step-by-step explanation:

10

FAST PLS

Mary bought 10 1/2 pounds of turkey for a picnic. There were 4 3/4 pounds of turkey left after making 25 turkey sandwiches. Which statement is true?

A The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.

B The quotient −534÷25=−23100 means the average change in the total amount of turkey increased by 23100 pound per sandwich.

C The quotient 534÷25=23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.

D The quotient 534÷25=23100 means the average change in the total amount of turkey increased by 23100 pound per sandwich.

Answers

Answer:

HEYO!! soo the answer is A!! I tried B like the other person said but i got it wrong! so its A!

Step-by-step explanation:

Option A is correct. The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Mary bought [tex]10\frac{1}{2}[/tex] pounds of turkey for a picnic.

There were [tex]4\frac{3}{4}[/tex] pounds of turkey left after making 25 turkey sandwiches.

We need to find which statement will be true from the given options.

The solution we get by using the division process.

Division is nothing but splitting something to equal parts.

The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich is the true statement.

Hence, Option A is correct. The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

A study shows that unemployment has not impacted white-collar and blue-collar workers equally (Newsweek, April 20, 2009). According to the Bureau of Labor Statistics report, while the national unemployment rate is 8.5%, it is only 4.3% for those with a college degree. It is fair to assume that 27% of people in the labor force are college educated. You have just heard that another worker in a large firm has been laid off. What is the probability that the worker is college educated

Answers

Answer:

0.137

Step-by-step explanation:

The computation is shown below:

Educated = 0.27

And, unemployed to educated is 0.043

Now probability of educated and unemployed is

= 0.043 × 0.27

= 0.1161

So, the educated would be

= 0.01161 ÷ 0.085

= 0.137

A triangle has sides with lengths of 7 yards, 8 yards, and 9 yards. Is it a
right triangle?

Answers

Answer:

No, it is not a right triangle.

Step-by-step explanation:

A right triangle will follow the Pythagorean Theorem: a² + b² = c²

c is the hypotenuse, or the longest side. In this case, it is 9.

That means a and b are 7 and 8.

Now let's plug in the values to see if they simplify correctly.

(7)² + (8)² = (9)²

Simplify the exponents.

49 + 64 = 81

Add the left side.

113 = 81

The above expression is not true; therefore, this triangle is not a right triangle.

A paper company produces 2,985 notebooks in 3 days. How many notebooks can it produce in 11 days?

Answers

Answer:

10080

Step-by-step explanation:

2985÷3=995×11=10080

Answer:

It can produce 32,835 in 11 days.

Step-by-step explanation:

2,985 x 3 =  8,955

2,985 x 3 = 8,955

2,985 x 3 = 8,955

If you add another three, that'll  be 12, so, we'll multiply 2,985 x 2.

2, 985 x 2 = 5,970

Now, Add all of those 4 numbers together,

8,955 + 8,955 + 8,955 + 5,970 = 32,835

Rewrite the equation using the distributive property



2(9x+4)

Answers

Answer:

18x+8

Step-by-step explanation:

distribute

2 x 9x = 18x

2 x 4 = 8

Hope This Helps!!

What is the density of a 64-g iron cube that displaces 8 mil of water?

Answers

Answer: 8gml

Step-by-step explanation:

Can someone please help need it urgently will give brainliest to first answer

Answers

Answer:

Step-by-step explanation:

[tex]1220+92a\ge 8000[/tex]

4. Which of the following is a pair of vertical angles?
Angles 1 and 4
Angles 1 and 3
Angles 1 and 2
Angles 1 and 8

Answers

Answer:

Angles 1 and 8 because they are vertically aline

Answer:

Angles 1 and 8

Step-by-step explanation:

i took the test

Margo is planning a vacation. Assume that they have 2 possible destinations: beach or mountains. There are 2 vacation areas in the beach destination with 5 available condos for 1 of the areas, and 4 available condos for the other areas. There are 3 mountain destinations with 1 available condo for 2 of the areas, and 3 available condos for the other areas. A trip plan involves the selection of a destination, area, and a condo. First, draw out the tree diagram representing making these choices below:

Required:
a. How many outcomes are there in the sample space?
b. Write out the event "Margo picks a beach destination" in set notation.

Answers

Answer:

There are 14 outcomes in the sample space.

x= { x/x ∈ b, where b≠0 }

Step-by-step explanation:

The tree diagram is as follows

                                                                                                   Sample Space

Margo→→→→Beach (b)→→→→→→→1 destination→→→→→→→5 condos              5

     ║                   ║→→→→→→→→→→2 destination→→→→→→→→→4 condos       4

     ║

     ║

     ║→→→→→Mountain (m) →→→→→→→→1 destination→→→→→→ 1condo         1

                                    ║→→→→→→→→→→2 destination→→→→→ 1condo         1

                                     ║→→→→→→→→→→ 3destination→→→→→ 3 condos     3

Part a:

There are 14 outcomes in the sample space .

5+4+1+1+3= 14

Part b:

Margo picks a beach destination in set notation is

x= { x/x ∈ b, where b≠0 }

x such that x belongs to b ( beach destination) and b is not equal to zero.

Which of the following is the graph of f(x) = -0.5|x + 31-2?

Answers

Answer:

0.5x+ 29

Step-by-step explanation:

collect like terms 0.5x+(31-2)

simplify 0.5x+29

Which statements are correct based on the graph? Select all that apply.
BCDE is rotated 90° to form JKLM.
PQRS is rotated 90° to form JKLM.
BCDE is rotated 180° to form JKLM.
JKLM is rotated 180° to form BCDE.
PQRS is rotated 180° to form BCDE.

Answers

Answer:

2,3,4

Step-by-step explanation:

hope this helps=D

Answer:

B,C,D

Step-by-step explanation:

Please help! Please help!

Answers

we can’t see the diagram

Answer:

I have seen this question before and I believe the answer is 94

Step-by-step explanation:

I WILL MARK BRAINLIEST :) Determine which segment is shortest in the diagram.

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C. Segment AC

Step-by-step explanation:

I am going to figure all the angles first. Triangles always add up to 180 degrees so I am going to use that.

50 + 49 = 99

180 - 99 = 81

<C = 81°

99 + 37 = 136

180 - 136 = 44

<A = 44°

The shortest segment is always going to be opposite the smallest angle. The smallest angle is 37°. Therefore, Segment AC is the shortest.

Happy Paws charges $16.00 plus $3.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $4.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.

Answers

Answer:

First, set up equations for total cost for both Happy Paws and Woof Watchers.

x= number of hours

y= total cost

Happy Paws

y=3.50x +16

Woof Watchers

y=4.75x+11

4.75x+11=3.50x+16

x=4

You can check your answer by doing the following:

Happy Paws: (3.50)(4)+16= 30

Woof Watchers: (4.75)(4)+11= 30

Imagine having all things

Answers

Answer:

things would be abit boring if you had everything tbh

Step-by-step explanation:

The circumference of the earth is approx. 40,000 km.

a) What is the diameter of the earth?

b) Calculate the volume of the soil​

Answers

I believe the answer you are look for is A

A triangle with vertices at A (20, -30), B (10, -15) and C (5, -20) has been dialted with a center of dialation at the origin. The image of B, point B' has the coordinates (2, -3). What is the scale factor of the dilation?

Answers

Answer:

Scale factor: 1.8

Step-by-step explanation:

AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13

AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13

AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8

how many ways can 60 baseball cards be arranged in rows containing the same number of cards?

Answers

Answer:

10 ways, 6 in each pile

or 6 ways, 10 in each pile

Step-by-step explanation:

Which expression is equivalent to 18 - 20
O 18+(-20)
18 - (-20)
-18 + 20
- 18 - 20

Answers

A. 18 + (-20)

Hope this is right

answer: a. 18 + (-20)

explanation: adding a negative is the same as subtracting a positive

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Answers

Answer:

k

Step-by-step explanation:

can i have branliest answer for no reason and god bless u

Answer:

period

Step-by-step explanation:

Classify each statement about the function f(3) = 323 +6 as true or false.

Answers

Answer:

true.

false

true.

false.

Step-by-step explanation:

1. The domain (x-value) of a function is (-∞, +∞) unless there is some reason for it not to be. No matter what we make x, we do not wind up with something forbidden in the real-number coordinate plane, like a zero denominator or a square root of a negative number, so the domain for x is all real numbers. True.

2. The statement says the range (the y-value) of the function must always be more than zero. There is no particular reason to belive that. If x = -10, then x³ + 6 = -1000 + 6 = -994, which is less that zero. False.

3. We get the y-intercept by making x equal zero. In tha case y = 0³ + 6 = 6. The y-intercept always has an x-coordinate of zero, so the point is (x, y) = (0, 6). True.

4. If a function has symmetry about the origin point, then replacing y with -y and x with -x will get you an equation equivalent to the original. let's try it.

-y = 3(-x)³ + 6    now lets see what happens it we let x = 2

For the original equation:   y = 3(2)³ + 6 = 3(8) + 6 = 24 + 6 = 30

Now we try the test equation:  -y = 3(-2)³ + 6 = 3(-8) + 6 = -24 + 6 = -18

                                               So   -y = -18

                                                So    y = 18

The first equation and the test equation are not equivalent, as they do not yield the same results for the same value of x.

Thus, the origin is not a point of symmetry. False.

I am attaching a picture of this function's graph so you can see the actual point of symmetry is (0, 6), which is also the y-intercept. I made it on Desmos dot com, which is free for everyone.

The Domain  = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry.

Domain, range, and y-intercept

Given the function [tex]f(x)=3x^3 + 6[/tex]

Domain and range are the value of input and output that the function exists.

For the given function, the domain and range exist on all real numbers.

Domain  = (-∞, ∞) and Range = (-∞, ∞)

The y-intercept occur at (x) = 0

g(0)= 3(0)^3 + 6

g(0) = 6

Hence the Domain  = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry. False.

Learn more on range and domain here: https://brainly.com/question/2264373

3⁷×3-⁴ I need help asap!​

Answers

Hope it helps

Have a good day Ahead

Answer:

the answer will be 27

Step-by-step explanation:

!!!!!!!please help!!!!!!!!

Answers

Answer:

The first one is No. The second one I do not know unfortunately.

Step-by-step explanation:

I am in the middle of this lesson in my math class as well and I know that in order to make a triangle, you need the two smaller sides to add up to become larger than the biggest side. In the case of the first question, the two smaller sides, 6 and 3 equal 9, which is not bigger than the biggest side which is 10. I hope you can find the answer to the second one, but for now, the first one is No.

PLZZ HELP I WILL GIVE YOU 30 POINTS!!!!!


Answers

7 cheese:8
7 pepperonis:3
7 veggie:1
8 cheese:4
8 pepperoni :5
8 veggie:3

Hep solve this Geometry problem

Answers

Hint: the ratio of the shorter side of the median to the centroid to the longer side of the median to the centroid is 1:2
DC=16
CQ=8
FP=15
CE=14

Simplify (2b+9)+(13+5b)

Answers

The answer is because i combined the liked terms 7b+22

choose the fraction that is greater than 3/18, is less than 50/100, and has 9 as it denominator ​

Answers

Answer:

3/9 or 4/9

Step-by-step explanation:

In which type of economic system, does the government handle decisions related to the production of goods and services?
A.
command
B.
market-driven
C.
mixed
D.
market

Answers

Answer:

D Market

Step-by-step explanation:

the production determines how the goods and services are destributed and applied so the goods can flow all based off of the market

Answer:

Step-by-step explanation:

The answer is 'command'.

Plz help mee
A. 49.75
B.74.75
C.156
D.1196

Answers

Answer:

B: 74.75

Step-by-step explanation:

If four roommates (I don't know how to spell it) want to divide the prize of a computer which costs 299 is the same as: 299/3 which gives you 74.75

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