A family is booking a trip to Florida and the travel agent knows that for families with children of similar ages the probability of visiting Busch Gardens is 40% and the probability of visiting Sea World given that they visited Busch Gardens is 60%; also the agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%. To determine the best package for this family, the agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

Answers

Answer 1

Answer:

0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Visited Busch Gardens.

Event B: Visited Sea World.

The probability of visiting Busch Gardens is 40%

This means that [tex]P(A) = 0.4[/tex]

The probability of visiting Sea World given that they visited Busch Gardens is 60%

60% of 40%, which means that:

[tex]P(A \cap B) = 0.6*0.4 = 0.24[/tex]

The agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%.

This means that [tex]P(A \cup B) = 0.7[/tex]

Te agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.

This is P(B).

These probabilities are related by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Replacing the values

[tex]0.7 = 0.4 + P(B) - 0.24[/tex]

[tex]0.16 + P(B) = 0.7[/tex]

[tex]P(B) = 0.54[/tex]

0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.


Related Questions

what is the median of these numbers​

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Answer:

38.5

Step-by-step explanation:

Is the relationship between the number of days and the number of hours proportional?

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Answer:

yes because no matter what 24 hrs will equal a day

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

What is the answer for this question? The quotient of r and 6 is equal to 42

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The answer is 7 I hope it helps you My friend have a nice day

Find X please help me with test corrections due midnight tonight!
If HBN is congruent to LYR.

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Answer:

the answer is

x=22..........

HELP PLEASE PLEASEEEEEE

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Answer:

I think the area is 9 ft square

Find the circumference of the circle.

Answers

Answer:

the 3rd one 72.22 is the answer

Answer:

the formula for it is 2*3.14*r

so to get the radius you divide the diameter by two, so 23 divided by 2 is 11.50

so then we do 2*3.14*11.50= 77.22

there u go!

Step-by-step explanation:

Easter game idea's please!
my neighborhood always throws an Easter egg hunt but this year we wanted to spice things up and add some cool game with cool prizes and snacks! any ideas?? (dont worry we wear mask at the small neighborhood party's we have)

Answers

u guys can make ur own kind of twister, do Marco Polo but the Marco is an Easter bunny, u guys can do a scavenger hunt with different prizes for each person, you can see who can juggle the most eggs

what is the slope line ​

Answers

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

Answer:

Uphill slopes are positive slopes.

The slope will be a positive number like 5 or 2/3.

Downhill slopes are negative slopes.

The slope will be a negative number like -7 or -1/3.

Step-by-step explanation:

Find the missing side. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

1)

Hyp =40

∠48

x = Adj

use CAH since it's got these pieces in it

Cos(48) = x / 40

40* Cos(48) = x

26.76522 = x

x = 26.8  ( rounded to nearest 10th)

2)

∠29

Hyp = 35

Opp = x

use SOH since this problem has those pieces in it

Sin(29) = x / 35

35*Sin(29) = x

16.9683 = x

x = 17.0  (rounded to nearest 10th)

3)

40 = Adj

∠16

Hyp = x

use CAH again

Cos(16) = 40 / x

x = 40 / Cos(16)

x = 41.611

x = 41.6 (rounded to nearest 10th )

4)

∠55

Opp = 35

x = Adj

use TOA

Tan(55) =35/x

x = 35/Tan(55)

x = 24.5072

X = 24.5  ( rounded to nearest 10th)

Unit 10: Circles Homework 4: Inscribed Angles

Find each angle or arc measure of mRS

Answers

Answer:

96 degrees

Step-by-step explanation:

Since you know that arc are twice the angle measure, that means arc RT is 42 * 2 = 84. Then, you have to find the measure of RS.

Remember that arc RT and RS have to add up to 180 degrees because they form a semicircle (half of a circle).

To find the measure of RS, just do 180 - 84 = 96 degrees.

Answer this correctly and explain your answer I’ll give you brainalist + 10 points

Answers

Answer:

D

Step-by-step explanation:

Use triangle inequalities:

7+10>x

x+10>7

x+7>10

Solve these and the conclusion is that it needs to be greater than 3 but less than 17.

Answer:

D) greater than 3 but less than 17

Step-by-step explanation:

The third side must be greater than the difference and smaller than the sum of the two other sides.

10-7=3

10+7=17

so the third side must be greater than 3 and less than 17

can someone send me a random receipt you have you gotten recently. it can be anything at all pls​

Answers

is this for fetch rewards

How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?

Answers

Answer:

5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.

Step-by-step explanation:

five more people studied for 30 minutes then 121 minutes

A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

Answers

A = (x^2 - 17x + 72)

A = (x-9)(x-8)

l is 9 and w is 8

Answer:

b

Step-by-step explanation:

edge

whats 2+7 because i really need help

Answers

Answer:

9 LOL-

Step-by-step explanation:

for many years the number of rainy days in March has been recorded in the towns Riverton and waterview Riverton has a mean of 11 rainy days in march with a standard deviation of three days Waterview has a mean of 13 rainy days in march with a standard deviation of 2 days brainly

Answers

Answer:

peak farther to the RIGHT

peak will be NARROWER

Step-by-step explanation:

hope this helps !! :)

The equation of a line is shown.
6x – 3y = 5
A dilation centered at the origin with a scale factor of 6 is applied to this line.
A. What is the slope of the line after the dilation?
B. What is the value of the y-intercept of the line after the dilation?

Answers

Answer:

my guess would have to be

A. slope= 4      

B. y-intercept= 23/3 or 7  2/3(simplified)

Step-by-step explanation:

im not sure how accurate my answer would be but what i did was put the equation in slope intercept form and added 6 for the dilatation to all factors of the equation.

The slope is 2/3.

The y-intercept is -5/3.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line.

6x - 3y = 5

Now,

To apply a dilation with a scale factor of 6 centered at the origin.

We multiply both sides by 6.

So,

6 (6x - 3y) = 6 x 5

Now,

Simplifying.

36x - 18y = 30

Dividing both sides by 18.

2x - y = 30/18

2x - y = 5/3

Now,

Writing in slope-intercept form.

y = mx + c

So,

y = 2x - 5/3

This means,

Slope m = 2

y-intercept c = -5/3

Thus,

The slope is 2/3.

The y-intercept is -5/3.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ6

Find the value of x
(21x - 10)
19xº

Answers

Answer:

0

Step-by-step explanation:

First we move all the terms to the left so it will be 21x-10-(19x)=0 hope I helped good luck

the equation y=ax describes the graph of a line if the value of a is negative the line

Answers

Answer:

Goes up and to the left

Step-by-step explanation:

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1 : 3 because you have to add all the bulbs which equals 60, so it would be 20:60 since 20 is the Daisy bulbs and then you simplify

Entomologists estimate that an average person consumed almost a pound of bug parts each year. There are that many insect eggs, larvae, and miscellaneous body pieces in the food we eat and the liquids we drink. The Food and Drug Administration (FDA) sets a Food Defect Action Level (FDAL) for each product. For example, the legal limit for peanut butter is 30 insect fragments per 100 grams. You just bought the crackers with 25 grams of peanut butter. What is the probability that the snack will include at least 3 crunchy critters

Answers

Answer:

0.9797

Step-by-step explanation:

We have X = number of insects in the 25bgrams of butter

Then the legal limit of concentration in peanut butter = 30 fragments/ 100 grams

Then insect amount in 25 grams =

E(X) = 30/100 x 25

= 0.3 x 25

= 7.5 fragments of insects

Using the poisson function in Excel, the probability of at least 3 crunchy critters

1 - p(X<=2)

p(X<=2) = POISSON (2, 7.5, TRUE) = 0.020156715

1 - 0.020156715

= 0.9797

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(p, q) = 8qe−p + 4pe−q, (0, 0) maximum rate of change $$ Correct: Your answer is correct. direction $$

Answers

Answer:

Step-by-step explanation:

[tex]Given \ f (p,q) = 8qe^{-p} + 4pe^{-q} \ where \ P_o(0,0) \\ \text{thus the gradient of f is: } \\ \\ \bigtriangledown f(p,q) = \Big(\dfrac{\partial f}{\partial p}, \dfrac{\partial f}{\partial q} \Big) \\ \\ \dfrac{\partial f}{\partial p} = -8qe^{-p} + 4pe^{-q} \\ \\ \dfrac{\partial f}{\partial p} = 8qe^{-p} - 4pe^{-q} \\ \\ Then: \bigtriangledown f(p.q) = (-4qe^{-p}+ 8qe^{-q}, 4qe^{-p}- 8qe^{-q}) \\ \\ f(0,0) = (-4*(0)e^{-0}+ 8*(0)e^{-(0)}, 4*(0)e^{-(0)}- 8*(0)e^{-(0)}) \\ \\ = (0+8,4-0) = (8.4)[/tex]

[tex]\Big| \Big | \bigtriangledown f(0,0) = \sqrt{(8)^2+4^2} \\ \\ = \sqrt{64+16} \\ \\ = \sqrt{80}[/tex]

[tex]\mathbf{the \ direction \ of \ maximum \ change \ is }= \mathbf{\sqrt{80}} \\ \\ \mathbf{direction }(8,4)[/tex]

1) You have three- fourths yards of pipe. How many pieces can you cut the pipe into if each piece is one-eighth yard?

Answers

Answer:

Step-by-step explanation:

(3/4)/(1/8)

(3/4)(8/1)

24/4

6 pieces of pipe

PLease help me asnwer this!!

Answers

Answer:

The answer is 60x500=30000

Step-by-step explanation:

30000 is your answer

The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?

36 ft
30 ft
38 ft
360 ft

Answers

Answer:

30 ft  

Step-by-step explanation:

18 in=1.5 ft

20*1.5=30

Leon older brother is 4 and 3/4 feet tall Leon is 1/3 foot shorter than his brother how tall is Leon

Answers

Answer:

4 5/12 feet tall

Step-by-step explanation:

All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.

Answer:

Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)

Step-by-step explanation:

Leon older brother is 19/4 feet tall or 57/12.

Leon is 1/3 or 4/12 foot shorter than his brother.

57/12-4/12= 53/12

(Urgent) Worth 15 points 7.3

Answers

Answer: 20790

Step-by-step explanation:

Diego is buying candy by the pound. For every 10 pounds, he pays $23. What is the cost per pound?

Will give BRAINLIEST!!

Answers

10 pounds = 23 $
1 pound = 2$ and 30 cts

Just divide by ten.

what is 3/4 x 12 inches

Answers

Answer:

9

Step-by-step explanation:

There are 15 boys and 18 girls in seventh grade. Find the ratio of boys to girls in seventh grade.

Answers

Answer:

15:18

Step-by-step explanation:

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