Givin P(X)=0.35, P(Y)=0.45, and P(Y|X)=0.25, what are P(X and Y) and P(X or Y)

Answers

Answer 1

Answer:

[tex]P(Y|X)=\frac{P(Y\cap X)}{P(Y)} \\ P(Y\cap X) = P(Y)P(Y|X) \\ = 0.45 \times 0.25 \\ \boxed{P(Y\cap X) =0.1125} \\ P(Y\cup X) = P(Y) + P( X) - P(Y\cap X) \\ = 0.45 + 0.35 - 0.1125 \\ \boxed{P(Y\cup X) =0.6875}[/tex]


Related Questions

I’m wondering if this is a polygon

Answers

Answer:

They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!

Have a great day!

Brainliest please :)

Caleb has 3 apples and he loses 1 apple how many apples does Caleb have?

Answers

Answer:

2 apples

Step-by-step explanation:

he should be more careful next time :)

Triangle EFG is dilated by a scale factor of \frac{2}{3}
3
2

to form triangle E'F'G'. What is the measure of side FG?

Answers

Answer:

 B.  36°

Step-by-step explanation:

Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.

What is the solution to the equation?

a+5 2/3=9

Answers

Answer:

A= 3 1/3

Step-by-step explanation:

I got an questions for y'all, see if y'all can what do can an cow with no legs

Answers

Answer:

eat it can only eat the things around it

Step-by-step explanation:

a cow with no legs has a hard life due to their lack of legs they cant walk or run meaning the cant get water and they can't run away from Predator's

make a conjecture (prediction) about the table. what will happen if we continue the table, going down? ​

Answers

278 would be it I think but not sure

A polygon on a coordinate grid was transformed using (x,y) (x-4,y-3 whats the transformation

Answers

Answer:

A. A translation 4 units to the left and 3 units down.

Step-by-step explanation:

Divide.

−4 1/3÷−2 3/5


1 2/3

1 4/5

2 1/5

2 3/5

Answers

Answer: 1 2/3

Step-by-step explanation:

x=5 and y=7

9y+x= ?

i need help );​

Answers

Answer:

Step-by-step explanation:

All we need to do is substitute the y and x. This would then look like:

9y + x =

9 × 7 + x =

9 × 7 + 5.

Can you solve it from here?

2. A house costs $30,000. A buyer is given a 1/10 discount. How much money does the buyer save?

Answers

Answer:

3000

Step-by-step explanation:

10x + 44
8x - 23
It’s solving for X in triangles

Answers

Answer:

x=33.5

Step-by-step explanation:

HURRY PLEASE! Do questions 4,5,6 on paper

Answers

This should be right , if any doubt please comment

(4, 7); y = 3x + 6 plz help me

Answers

y=3x+6.

y=3x-5

I did it with a parallel line

Mali has half of the cost of a day trip to a theme park for two people, and Sarah has one-third of the cost. What fraction of the cost do they have? ​

Answers

Answer:

5/6

Step-by-step explanation:

1/2=3/6

1/3=2/6

2/6+3/6=5/6

16 divided by 5 as a decimal

Answers

Answer:

3.2 brainliets

Step-by-step explanation:

Identify the restrictions on the domain of f(x) =
X +5
X-2
Ox#5
OX-5
Ox=2
Ox= -2

Answers

X # 2
Bcz 2-2 in the denominator =0 which is impossible

55.99 dollars gift with 18% coupon and 7.25% sales tax. What is the final cost?

Answers

Answer:

I think it is $91.89.

Step-by-step explanation:

1. Take the number and add sales tax by multiplying 0.0725 ( since that is what the percentage is in a decimal form). Then add that to the original and you have what it would be plus sales tax: $60.05.

2. Then you would need to multiply by 0.18. You would get 10.809

3. Next, subtract the 10.809 from $60.05 and the answer is $49.24.

I hope this helps! :)

e
Week 6: Culmination Knowledge Check
CLEAR MY CHOICE
Question 8
You buy milk in 1-gallon containers. One portion of waffles requires 2 ounces of milk. How many portions can be made with one container? Select one
a 128
b. 16
c. 32
d. 64
CLEAR MY CHOICE
Question 9
You have 24 quarts of brown stock. You need 75 cups to make one serving of kidney beans. How many servings can you make? Select one

Answers

B.16 is the answer to your question

Find the Area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

Answers

Answer: 15!

Step-by-step explanation:

You do 1/2 x (5=base) x (6= height)

The domain for f(x) is all real numbers ___ than or equal to 2

Answers

Step-by-step explanation:

f(x) = 2x² + 5√(x - 2)

Domain

√(x - 2) ≥ 0

x - 2 ≥ 0

x ≥ 2

x is greater than or equal to 2

Answer: Greater than

Step-by-step explanation:

For which values of x is this function constant?

Answers

Answer:

- 2 ≤ x ≤ 0

Step-by-step explanation:

The constant part of the graph is the section between (- 2, 1 ) and (0, 1 )

where the graph is horizontal and parallel to the x- axis, that is the y value is constant at 1

a number of students are standing in a circle. they are evenly spaced and the fith student is directly opposite the eleventh student. how many students are there all together

Answers

Answer:

There would be 12

Step-by-step explanation:

You plan on joining a gym. The joining fee is $30 and you must pay $12 a month fee. If you have $100, how many months can you use the gym? Write and solve an inequality to represent the solution.

I need the process for this otherwise I won't get credit for it!!

Answers

Answer:

Inequality: 30+12x < 100

x ≈ 5 months

Step-by-step explanation:

To solve, first create the inequality. In this problem, 30 dollars is the flat fee for joining the gym and thus a constant. Additionally, 12 is the monthly payment and thus the coefficient for a variable because it changes with the number of months. Finally, 100 is the most that can be spent (the max), so it should be on the other side of the inequality and the sign should be less than or equal to 100.

This makes the inequality: 30+12x < 100

To find the number of months solve the inequality for x.

30+12x<10012x<70x<5.8

So, the inequality equals x<5.8. However, the question asks for the number of full months. And, no more than 100 dollars can be spent. So, while you would normally round up. In this case, you must round down to 5 months.

Jessica and her family bought 5 tickets to a
music concert. Tickets for adults cost $5.10 and
tickets for children cost $3.60. Jessica and her
family spent a total of $21. How many tickets
for adults (a) and how many tickets for children
(c) did they buy?
a + c = 5
5.1a + 3.6C = 21
[?] adults [ ] children

Answers

Step-by-step explanation:

work is shown and pictured

solve pls brainliest

Answers

Answer:

Yes, This is a repeating decimal

No, This is a decimal that neither terminates or repeats

No, This is a decimal that neither terminates or repeats

Yes, This is a terminating decimal

name the congruent triangles
will give brainliest

Answers

Answer:

ΔOGD ≅ΔPRC

Step-by-step explanation:

SAS

The other question is in the picture

Activity 2: of Directions: Write T before each item if the statement is TRUE, otherwise write F.

For items 1-2: Use the problem below to answer the following questions.

Your mother invested PhP 10,000.00 in an investment institution at 5% compounded semi-annually for x years.

___1. y = 10 000(1.025)2x is the function that represents mother's total investment​

Answers

Using compound interest, it is found that the correct options are:

1. True.

2. True.

Compound interest:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  x is the time in years for which the money is invested or borrowed.

Item 1:

Invested 10000, hence [tex]P = 10000[/tex].Semi-annually, hence [tex]n = 2[/tex].Interest rate of 5%, hence [tex]r = 0.05[/tex]

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]

[tex]A(x) = 10000(1.025)^{2x}[/tex]

Hence option 1 is True.

Item 2:

Quarterly, hence [tex]n = 4[/tex].

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]

[tex]A(x) = 10000(1.0125)^{4x}[/tex]

Hence option 2 is also True.

A similar problem is given at https://brainly.com/question/24507395

Solve the math problem

Answers

Answer:

1 -66

2. 162

3.11/-2

4. 8/-11

5.12/0

6. 0

7. 15/14

8. 2/-5

Step-by-step explanation:

Can someone help me !!!

Answers

Answer:look close because that is the question

Step-by-step explanation:

purchased two candles from Target. The first candle has a height of 10 inches and burns at a rate of 3 inches per hour. The second candle has a height of 8 inches and burns at a rate of 2 inches per hour. After how many hours will both candles be at the same height?

Answers

Answer:

In 2 hours

Step-by-step explanation:

10/3 8/2

10-6 = 4

6 from 3*2(aka the hours)

8-4 = 4 from 2*2(aka the hours)

you can also set this up like

10-3x=8-2x and solve for it

Answer: At the 2 hour mark.

Step-by-step explanation:

10-3=7. 7-3=4

8-2=6. 6-2=4

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