On a particular day in July, there is a 20% probability of rain in Vancouver, a 65% probability of rain in Calgary, and a 75% probability of rain in Saskatoon. What is the probability that it will rain in all 3 cities on that day?

Answers

Answer 1

Answer:

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 0.93 = 93%

Step-by-step explanation:

Let 'V' be the event of  rain in Vancouver

Given that the probability of rain in Vancouver

             P( V) = 20% = 0.20

             P( V⁻) = 1- P( V) = 1 - 0.20 =0.80

Let 'C' be the event of  rain in Calgary

Given that the probability of rain in Calgary

             P( C) = 65% = 0.65

            P( C⁻) = 1- P( C) = 1 - 0.65 =0.35

Let 'S' be the event of  rain in Saskatoon

Given that the probability of rain in Saskatoon

             P( S) = 75% = 0.75

             P( S⁻) = 1- P( S) = 1 - 0.75 =0.25

First we will prove that the probability that it will not rain in all 3 cities on that day

P( V⁻ ∩  C⁻ ∩  S⁻  ) =  P( V⁻) P( C⁻) P(S⁻)

                              =  0.80 × 0.35 × 0.25

                             = 0.07

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 1-(P( V⁻ ∩  C⁻ ∩  S⁻  )

                   = 1 - 0.07

                  = 0.93


Related Questions

Use the formula w = to find the value of the missing variable.
T
radians. w
radian per min

Use the formula w = to find the value of the missing variable.Tradians. wradian per min

Answers

Answer:

Step-by-step explanation:

Use the formula w = to find the value of the missing variable.Tradians. wradian per min

Joseph is reading a 32 page book he read 6 pages in 15 minutes if he continues to read at the same rate how long will it take him to read the entire book

Answers

Answer:

80 minutesssssss

Answer:

(edit) your answer is 80 min

Step-by-step explanation:

first we can set this up as a proportion.

so it would be 15 over 6 and your other side would be x over 32

so when u cross multiple your equation would be 6x = 480

then you divide both sides by 6 and when you divide 480 by 6 u will get 80

                         

A traveler flies from Charlotte, North Caroline to Los Angeles, California. At the same time, another traveler flies from Lost Angeles to Charlotte. The air speed of each plane is the same. The ground speed of the first plane is 550 mi/ hour and the ground speed of the second plane is 495 mi/hr. What is the air speed? What is the wind speed? Step 1: Write a system of equations Step 2: Choose a method to solve the system BE GOOD IN THE ANSWER

Answers

Answer:

Air speed of planes is 522.5 mi/hr,Wind speed is 27.5 mi/hr.

----------------------------------

Let the air speed of the planes be s and the speed of the wind be w.

The two equations are:

550 - w = s495 + w = s

Add up the two equations, it will eliminate w and we'll solve it for s:

550 + 495 = s + s1045 = 2ss = 1045/2s = 522.5

The air speed of planes is 522.5 mi/hr.

Find the wind speed:

550 - w = 522.5w = 550 - 522.5w = 27.5

The wind speed is 27.5 mi/hr.

A source supply produces 7.5 x 107 gallons of water per day. How many gallons of water will be produced in 37 days?

Answers

Answer: 29,692.5 gallons of water

Step-by-step explanation: first i multiplied 7.5 and 107 and got 802.5 and since it wanted to know about 37 days i multiplied 802.5 by 37 and got 29,692.5

Help please ASAP.





..................,,.,,..,,

Help please ASAP. ..................,,.,,..,,

Answers

Answer:

2x(3+1)

Step-by-step explanation:

Choose the student who modeled the relationship correctly in a table.

Beatriz makes $7.80 per hour.
Zohar's work. A 2-column table with 3 rows. Column 1 is labeled Dollars (x) with entries 7.80, 15.60, 23.40. Column 2 is labeled hours (y) with entries 1, 2, 3.
Felipe's work. A 2-column table with 3 rows. Column 1 is labeled hours (x) with entries 1, 2, 3. Column 2 is labeled dollars (y) with entries 7.80, 15.60, 23.40.
Leonie's work. A 2-column table with 3 rows. Column 1 is labeled 1 (x) with entries 2, 3, 4. Column 2 is labeled 7.80 (y) with entries 1, 2, 3.

Answers

Answer:

The second choice

Step-by-step explanation:

Answer: Felipe's work!

Step-by-step explanation:

Find the measure of the reference angle for each given angle. Part 1
10. θ = 95°
11. θ = -250°
12. θ = 230°

Answers

Answer:

10. 85°

11. 70°

12. 50°

Step-by-step explanation:

Please see attached picture for full solution.

Find the measure of the reference angle for each given angle. Part 110. = 9511. = -25012. = 230

BRAINLIEST TO WHOEVER CAN ANSWER THIS QUESTION!

BRAINLIEST TO WHOEVER CAN ANSWER THIS QUESTION!

Answers

Answer:

x ≈ 3,3

Step-by-step explanation:

Use the property of the bisector:

\( \frac{5}{7} = \frac{x}{8 - x} \)

\(7x = 5(8 - x)\)

\(7x = 40 - 5x\)

\(7x + 5x = 40\)

\(12x = 40\)

\(x ≈3.3\)

Help please!!!!!!!!!!!!!!

Help please!!!!!!!!!!!!!!

Answers

Y= 1/2 + 3 or y= 0.5+3 because the y intercept is where the line touches the y axis

The area of a circle is 4π cm². What is the circumference, in centimeters? Express your answer in terms of π pie

Answers

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

The cost of 1 dozen pens is ₹ 24. Find the cost of 30 pens.
hurry

Answers

the cost would be 60

Find the difference in the place value of the two seven in the number 872574

Answers

The difference in the place value of the two seven in the number 872574 is  69,930.

In the given value we have to find the place value of two 7. To find the place value of the two seven we need to find the occurrence of seven in the value.

In the given value of 8,72,574,

the first 7 occur at ten thousand place

Its place value = 7 × 10000 = 70000

The second 7 occurs at ten’s place

Its place value = 7 × 10 = 70

The difference between the two place values of 7

= 70000 - 70

= 69930

Therefore, the difference in the place value of two 7 is 69,930

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Answers

Answer: lol why so expensive.

3 of 25 After running a coiled tubing unit for 81 minutes, Tom has 9,153 feet of coiled tubing in the well. After running the unit another 10 minutes, he has 10,283 feet of tubing in the well. His call sheet shows he needs a total of 15,728 feet of tubing in the well. How many more feet of coiled tubing does he need to run into the well? feet 4 of 25 Brendan is running coiled tubing in the wellbore at a rate of 99.4 feet a minute. At the end of 8 minutes he has 795.2 feet of coiled tubing inside the wellbore. After 2 more minutes he has run an additional 198.8 feet into the wellbore. How many feet of coiled tubing did Brendan run in the wellbore altogether? 5 of 25 Coiled tubing is being run into a 22,000 foot wellbore at 69.9 feet per minute. It will take a little more than 5 hours to reach the bottom of the well. After the first four hours, how deep, in feet, is the coiled tubing? feet

Answers

3) The extra number of feet of coiled tubing Tom needs to run into the well is: 5445 ft

4) The total length of coiled tubing Brendan ran in the wellbore is: 994 ft

5) The distance that the coiled tubing has reached after the first four hours is:  a depth of 16,776 feet in the well.

How to solve Algebra Word Problems?

3) Initial amount of coiled tubing he had after 81 minutes = 9,153 feet

Amount of tubing after another 10 minutes = 10,283 feet

The total tubing required = 15,728 feet.

The extra number of feet of coiled tubing Tom needs to run into the well is: Needed tubing length - Current tubing length

15,728 feet - 10,283 feet = 5,445 feet

4) Speed at which Brendan is running coiled tubing = 99.4 feet per minute.

Coiled tubing inside the wellbore after 8 minutes is: 795.2 feet

Coiled tubing inside the wellbore after 2 more minutes is: 198.8 feet

The total length of coiled tubing Brendan ran in the wellbore is:

Total length = Initial length + Additional length

Total length =  795.2 feet + 198.8 feet

Total Length = 994 feet

5) Rate at which coiled tubing is being run into a 22,000-foot wellbore = 69.9 feet per minute. After the first four hours, we need to determine how deep the coiled tubing has reached.

A time of 4 hours is same as 240 minutes

Thus, the distance covered in the first four hours is:

Distance = Rate * Time

Distance = 69.9 feet/minute * 240 minutes

Distance = 16,776 feet

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Karen has $600. She spent $240 on clothes. What percentage of money did she have left?

Answers

Answer: She had 60% of the money left

Step-by-step explanation:

240/600=0.4

0.4 = 40%

100%-40%=60%

Answer:

60%

Step-by-step explanation:

LETS MAKE IT INTO A FRACTION

FIRST LETS CALCULATE HOW MUCH SHE SPENT

=240/600

WE CAN SIMPLIFY BY DIVIDING THE EQUATION BY 10

=24/60

LETS DIVIDE BY 6

=4/10

DIVIDE BY 2

=2/5

NOW LETS CALCULATE HOW MUCH SHE HAS LEFT

THE EASIEST WAY IS TO SUBTRACT

5/5-2/5=3/5

3/5 IS ALSO EQUAL TO 60/100

SO KAREN HAS 60% OF HER MONEY LEFT

HOPE I HELPED

PLS MARK BRAINLIST

(DESPERATELY TRYING TO LEVEL UP)

        ✌

Hello hello :))) please help me with this problem

Hello hello :))) please help me with this problem

Answers

Since they want the unit of volume to be cm^3, first we have to convert the values given from inch into cm
=> 12 in = 30.48cm
4 in = 10.16cm
14 in = 35.56cm
Since both of the figures are cylinders, we have to find them one by one
Find the volume of the upper cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 30.48cm/2 = 15.24cm
height = 30.48cm
We get V=3*(15.24)^2*30.48=21237.6cm^3

Find the volume of lower cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 35.56cm/2 = 17.78cm
height = 10.16cm
We get
V = 3*(17.78)^2*10.16 = 9635.6cm^3
Therefore, the volume of the object is
V = 21237.6cm^3 + 9635.6cm^3
= 30873.2cm^3.

Pre-paid calling cards are billed in 1-minute increments, rounded down to the nearest minute. MTCC charges 4¢ per minute with a 1-minute billing increment. For long distance calls there is a 50¢ charge and is twice the price. What is the total cost, in dollars, of a long distance phone call that is 32.4 minutes long?

Answers

The total cost of a long-distance phone call that is 32.4 minutes long is $1.32.

To calculate the cost, we need to consider two components: the per-minute charge and the additional long-distance charge. The per-minute charge is 4¢ per minute, and since the billing increment is 1 minute, we round down the call duration to the nearest minute, which in this case is 32 minutes. Therefore, the cost for the per-minute charge is 32 minutes × 4¢/minute = $1.28.

In addition to the per-minute charge, there is a flat long-distance charge of 50¢, which is twice the per-minute charge. So, the long-distance charge is $1.28 × 2 = $2.56.

Adding the per-minute charge and the long-distance charge, we get $1.28 + $0.50 = $1.78.

Therefore, the total cost of the long-distance phone call that is 32.4 minutes long is $1.78.

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Consider the multiple linear regression Y = B0 + B1 X + B2 Z + B3 W + u, where X is a variable of interest and Z and W are control variables, and where all coefficients are not equal to 0. Suppose
that E[XIWI and EIZWI are constant values. Would the coefficient estimates for B1 and B2 from an alternative regression with Y as the
dependent variable and X and Z as independent variables suffer from omitted variable bias?

Answers

The alternative regression with Y as the dependent variable and X and Z as independent variables would suffer from omitted variable bias.

Omitted variable bias is the bias that occurs when a regression model omits one or more relevant variables.

The bias resulting from the omitted variable will influence the coefficients of the other variables in the regression equation.

As a result, the omitted variable bias is the difference between the real coefficients of the variables and the coefficients produced by the regression equation.

The effect of omitted variables on the coefficients is that the coefficients become biased and lose their efficiency.

Therefore, the coefficient estimates for B1 and B2 from an alternative regression with Y as the dependent variable and X and Z as independent variables would suffer from omitted variable bias.

In other words, the missing variable W will have an impact on both X and Z, causing the coefficients of the independent variables to be biased in the alternative regression with Y as the dependent variable and X and Z as independent variables.

As a result, the coefficients in the regression equation will be flawed, and the model will have a significant impact on the data and results produced.

Thus, the alternative regression with Y as the dependent variable and X and Z as independent variables would suffer from omitted variable bias.

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sin (x+y)/sin (x-y) =

Answers

No directions given here. What exactly do you need to be done with this trigonometric function?

3.5 m is _% of 70cm and 70 cm is _% of 3.5m

Answers

3.5 m is 500% of 70 cm
70 cm is 20% of 3.5 m
3.5m is 500% of 70cm since 3.5m is 350cm(350=70×x, x=5 5×100=500)

And 70cm is 20% of 3.5m (70=350×x, x=1/5 1/5×100=20)

Five hundred , two hundred and twelve and Fifty-Two. In numbers

Answers

Answer:

500,200,12,52 this is how you write those numbers

what is the image point of (8,-7) after a translation right 1 unit and up 4 units?

Answers

Answer:

It is (9,-3) because x increased by 1 unit and y increased by 4 units.

Answer:

\((9,-3)\)

Step-by-step explanation:

\((8,-7)\)

If it moves right, add the value to the x-coordinate. If it moves left, subtract the value from the x-coordinate. In this case, because the point was translated 1 unit right, we add 1 to the x-coordinate 8.

\((9,-7)\)

If it moves up, add the value to the y-coordinate. If it moves down, subtract the value from the y-coordinate. In this case, because the point was translated 4 units up, we add 4 to the y-coordinate.

\((9,-3)\)

I hope this helps!

What is the solution to 10(2x - 4) = 100x? Please do your best.

Answers

10(2x-4)=100x

20x-40=100x

-40=100x-20x

-40= 80x

-40/80x= -0.5

10(2x-4)=100x

20x-40=100x

20x=100x+40

20x-100x=40

-80x=40

Answer : x= - 1/2

Consider results of 20 randomly chosen people who have run a marathon. Their times, in minutes, are as follows: 137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287. Calculate a 99% upper confidence bound on the mean time of the race. Assume distribution to be normal. Round your answer to the nearest integer (e.g. 9876). u

Answers

According to the question we have  the 99% UCB on the mean time of the race is 223.

The formula for finding the upper confidence bound (UCB) is UCB = Mean + (Zα/2)(σ/√n), where Mean is the sample mean, Zα/2 is the z-score for the desired level of confidence, σ is the population standard deviation (which is not given, so we'll use the sample standard deviation instead), and n is the sample size.

We are given the sample of times as follows:137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287.

We'll need to calculate the sample mean and standard deviation before we can find the UCB. Using a calculator, we get: mean ≈ 207.65s ≈ 48.41 Next, we'll use a table or calculator to find the z-score for a 99% confidence interval, which is Zα/2 = 2.576.

Now we can plug in the values we know to get the UCB:UCB = mean + (Zα/2)(σ/√n)UCB ≈ 207.65 + (2.576)(48.41/√20)UCB ≈ 223.02 .Therefore, the 99% UCB on the mean time of the race is 223.

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need help asap plzzz

need help asap plzzz

Answers

Answer:

Side a is that side opposite to the hyp and b is the short side and c is the hyp

So a/b is 24/x

we need b

We find b=10

so 24/10 and we simply to 12/5

joe is a wrestler and during his workouts he loses 2 pounds. how much water would he have to drink to replenish this water weight loss?

Answers

Answer:

36 ounces or if over 150 lbs drink more water than 36 ounces

Step-by-step explanation:

For every pound of sweat you lose you need to drink 16 ounces of water!

HELP NOW IT IS 6th GRADE MATH HELPPPPPP

HELP NOW IT IS 6th GRADE MATH HELPPPPPP

Answers

Answer:

S=2t

or

T=1/2 S

Evaluate the expression shown below and write your answer as a fraction in simplest form. ​

Evaluate the expression shown below and write your answer as a fraction in simplest form.

Answers

Answer:

33/4=8.25 or 8 1/4

Step-by-step explanation:

256,251,246,...
Find the 46th term.

Answers

Answer:

Step-by-step explanation:

a  10 =39366

an event planner is deciding what food to include in a buffet. the caterer has offered 9 cold dishes and 10 hot dishes. of the 19 dishes offered, the event planner will choose 9. (a)in how many ways can the event planner choose 9 dishes if the number of hot dishes must be greater than or equal to 7? (b)in how many ways can the event planner choose 9 dishes if the number of hot dishes must be less than 7?

Answers

Part a: There are 4735 ways in which the event planner can choose 9 dishes if the number of hot dishes must be greater than or equal to 7

Part b: There are 91963 ways in which the event planner chooses 9 dishes if the number of hot dishes must be less than 7

Number of cold dishes = 9

Number of hot dishes = 10

Total number of dishes = 19

Part a:

The number of ways 9 dishes can be chosen, given the number of hot dishes, must be greater than or equal to 7:

= (¹⁰C₇*⁹C₂) + (¹⁰C₈*⁹C₁) + ¹⁰C₉

= 4320 + 405 + 10

= 4735 ways

Part b:

Choosing 9 dishes, when the number of hot dishes must be less than 7

= (¹⁰C₇*⁹C₂) + (¹⁰C₆*⁹C₃) + (¹⁰C₅*⁹C₄) + (¹⁰C₄*⁹C₅) + (¹⁰C₃*⁹C₆) + (¹⁰C₂*⁹C₇) + (¹⁰C₁*⁹C₈) + (¹⁰C₀*⁹C₉)

= 4320 + 17640 + 31752 + 26460 + 10080 + 1620 + 90 +1

= 91963 ways

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Please help Problem above I am so confused with this assignment A few students want to live healthier lifestyles. They decide to use one of thefollowing vegetable oils for cooking.Type of ollPolyunsaturated fat(per 100 g)1149Saturated fat(per 100 g)14Olive oilMaize oilCoconut oilSunflower oil250168513Based on the information in the table, eating which type of oil would mostlikely cause buildup in blood vessels?O A. Maize oilOB. Sunflower oilO C. Olive oilO D. Coconut oil A company's past profits that are not paid out in dividends are ______.a. cashb. dividendsc. reported as income for the current yeard. retained earnings Your boss is always cranky. You assume this is because she is an unhappy person. What type of attribution are you making to explain her behavior A 4-column table with 4 rows. The first column has no label with entries C, D, E, total. The second column is labeled A with entries X, Y, Z, 1. 0. The third column is labeled B with entries 0. 25, 0. 68, 0. 07, 01. 0. 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