Let A and B be two events. Suppose that P(A) = 0.21 and P(B) = 0.60.


(a) Find P(AorB), given that A and B are mutually exclusive.


(b) Find P(AorB), given that A and B are independent.

Answers

Answer 1

Answer For two events A and B,P(A)−0.36,P(B)−0.37, and P(A∩B)−0.11 a. Find P(A∣B). b. Find P(B∣A). c. Determine whether or not A and Bare independent. I think

Step-by-step explanation:


Related Questions

Evaluate the expression if x=2, y=7, and z = -4

(z - x) + y​

Answers

Answer:

1

Step-by-step explanation:

Evaluate (z - x) + y​ if x = 2, y = 7, and z = -4

(z - x) + y​ <== substitute the numbers for the variables

(-4 - 2) + 7

-6 + 7 <== add

1

Hope this helps!

How to solve (3x)^0 for applying the exponent rule for zero exponents

Answers

Any 0 power or exponent is equals to 1
So the answer is 1

Latoya drove 585 miles in 9 hours. At the same rate, how many miles would she drive in 13 hours?

Answers

Answer:

845 miles

Step-by-step explanation:

Hope this helps!

An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the designer wants it to have the shape of a hemisphere. Is such a design possible given that the plot of land on which it will be built is a rectangle 90 feet wide and 100 feet long?

Answers

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium.

Can this atrium be built in the rectangular plot of land?

The atrium with the maximum allowable radius (R), in feet, is represented in the image attached. The real atrium is possible if and only if the real radius (r) is less than the maximum allowable radius and therefore, the real volume (V), in cubic feet, must be less than than maximum possible volume (V'), in cubic feet.

First, we calculate the volume occupied by the maximum allowable radius:

V' = (8 · π / 3) · (45 ft)³

V' ≈ 763407.015 ft³

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium. [tex]\blacksquare[/tex]

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/13338592

Madden needs to choose an object for his math project that shows volume. He has a choice between a container for catching bugs and a poster from his favorite movie. Which item should Madden choose and why?

Answers

Answer:

container for catching bugs because posters have nothing to do with volume

Answer:

I think Madden should go for the poster because poster have more angles as well as width length and height.

Step-by-step explanation:

Brainliest??????

What is .006 as a percent

Answers

Answer:

.006 as a percentage is .6%

Step-by-step explanation:

Multiply your number by 100 to get the percentage.

.006 x 100 = .6

Therefore, your answer is .6%.

.006 as a percent is 0.6

Susu is solving the quadratic equation 4x2-8x-13=0 by completing the square. her first four steps are shown in the table. a table listing the first few steps in deriving the quadratic formula in which step did susu first make an error? step 1 step 2 step 3 step 4

Answers

The error is in step 2 in step 2 Susu forgot to divide 8 by 4 for finding the solution of a quadratic equation.

What is a quadratic equation?

The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x2). It is also called an "Equation of Degree 2"

Susu is solving the quadratic equation [tex]4x^2-8x-13=0[/tex] by completing the square

To apply to completing the square method we need to get x^2 alone

Susu added 13 on both sides. So step 1 is correct

When we factor out 4, we divide both terms by 4

[tex]4(\dfrac{4x^2}{4}-\dfrac{8x}{2})=13[/tex]

[tex]4(x^2-2x)=13[/tex]

Susu forgot to divide 8 by 4

So , error in step 2

To know more about quadratic equation follow

https://brainly.com/question/1214333

Answer:

Step-by-step explanation:

2

A number, n, is multiplied by −0. 7. The product is -1/2. What is the value of n?​

Answers

Step-by-step explanation:

-0.7n = -1/2

-0.7n = -0.5

n = 0.5/0.7

n = 0.715

Determine the amplitude or period as requested.

Period of y = negative one-third sine 2 x
a.
Negative one-third
b.
StartFraction pi Over 3 EndFraction
c.
One-third
d.
Pi

Answers

C. One- third. Plato!!

The time period of the given function will be π.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

y = (-1/3)sin(2x)

We have -

y = (-1/3)sin(2x)

We can write -

ωx = 2x

Now -

ω = 2π/T

(2π/T)x = 2x

2π/T = 2

T = 2π/2

T = π

Therefore, the time period of the given function will be π.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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#SPJ2

What is the y-intercept of the line: 8x - 4y = 20

Answers

Answer:

The y-intercept is 5

Step-by-step explanation:

First Step is to set y by itself:

4y = -8x + 20

y = -2x + 5

Remember: y = mx + b and b is the y intercept

b = 5

8x - 4y = 20
4y = 8x + 20
y = 2x + 5
y intercept = +5

i do not know this answer

Answers

Answer:

Move all terms that don't contain x to the right side and solve. x = 10 − 2 y

Step-by-step explanation:

$6.62 for 2 pounds of tomato’s

Answers

Answer:

$3.31 for each

Step-by-step explanation:

$6.62 divided by 2 = $3.31

Answer:

$6.62 divided by 2= $3.31

Step-by-step explanation:

What your going to do is divide 6 by 2 = 3

Next divided 62 by 2 = 32

Easy =)

Have a great day/night

What number goes in the box?
394 -
= 153
A 242
B 547
C 240
D 241

Answers

Answer:

d

Step-by-step explanation:

394-153=241

D
Because 394-241=153
Easy math

The variables a, b, and c represent polynomials where a = x2, b = 3x 2, and c = x – 3. what is ab – c2 in simplest form? 3x3 2x2 – x 3 3x3 2x2 – x – 3 3x3 x2 – 6x 9 3x3 x2 6x – 9

Answers

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

We have given that,

a = x^2,

b = 3x + 2,

c = x – 3

We have to determine ab- c^2.

What is the meaning of the simplest form?

A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.

ab- c^2

[tex]=x^2(3x+2) - (x-3)^2\\ =3x^3 + 2x^2 - (x^2 - 6x + 9) \\=3x^3 + 2x^2 - x^2 + 6x - 9 \\=3x^3 + x^2 + 6x - 9\\[/tex]

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

To learn more about the simplest form visit:

https://brainly.com/question/29114

What is the definition of Comparative Advantage? ​

Answers

Answer:

When one country has a commercial advantage over another country.

Step-by-step explanation:

(This is actually an AP Human Geography question). Ex: Florida grows oranges better than Maine due to Florida’s tropical climate. Florida has the comparative advantage.

Is the pair of angles supplementary 81 ° and 9 °

Yes or No?

Answers

Answer:

No, They are complementary

Step-by-step explanation:

Supplementary is when the angles add up to 180 degrees.

Complementary is when the angles add up to 90 degrees.

Answer:

No it isn’t a supplementary angle because supplementary angles add up to 180 degrees. 81+9=90

Step-by-step explanation:

Find the perimeter of each figure in feet, 48 in 3yd 5ft 1yd .

Answers

Answer:

Step-by-step explanation:

Remark

First of all, all the units must be the same. Inches is probably the best unit to use.

Second the base line at the bottom must be completed. How long is it

Givens

Left side = 48 inches

Top = 3 yards

1 yard is 36 inches.3 yard is 3* 36 = 108 inches.

Right side = 5 feet.

1 foot = 12 inches5 feet = 12 * 5 = 60 inches

Bottom = 1 yard + top

Bottom = 1 yard + 3 yards

Bottom = 4 yards

1 yard = 36 inches4 yards  = 144 inches

Perimeter = 144 + 60 + 108 + 48

Perimeter = 360 Inches.

Answer

Perimeter = 360 inches

Perimeter = 360 / 12 = 30 feet     There are 12 inches in a foot

Perimeter = 360 / 36 = 10 yards.  There are 36 inches in a yard

The question does not specify the units. Probably inches would work, but if a computer is marking your answer and you get it wrong, you are going to have to try the other two answers in turn.

Simplify ratio
1. 65:15
2. 56:45
3. 98:24
4. 380:56
5. 246:39
6. 98:112
7. 54:12
8. 87:15
9. 47:17
10. 90:117

Answers

1) 13:3

2) Same

3) 49:12

4) 95:14

5) 82:13

6) 7:8

7) 9:2

8) 29:5

9) Same

10) 10:13

Your basically dividing them by each other on a calculator

E.g. 90 ÷117 = 10/13

(10:13)

Or

20:30

20÷30=2/3

(2:3)

So, you could find the HCF of both numbers.

( highest factor of 20 & 30 is 10)

Hope this helps!

Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would you have the most confidence in?

A. 200
B. 2000
C. 20
D. 2

Answers

Answer:

2000

Step-by-step explanation:

larger sample sizes have more reliable results

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
10 ft
2 ft
2 ft
20 ft
What is the area of the kite?

Answers

Answer:

60ft^2

Step-by-step explanation:

area= 1/2(b)(h)

b for both traingles is 4

height of 1 triangle is 10 and the other is 20

total are will equal both triangles added together

area of first triangle = 1/2(10)(4)= 20ft^2

area of second triangle = 1/2(20)(4)= 40ft^2

area of the kite= 20+40= 60ft^2


Find the volume, in cubic centimeters, of the rectangular prism pictured below.
3 cm
| 21 cm
2 cm
(Your answer must be entered as a mixed number with a simplified fraction)
HURRY

Answers

Answer:

Step-by-step explanation:

Formula

Use V = L*w* h

Givens

L = 3 cm

w = 2 1/2 cm

h = 2 1/2 cm

Solution

V = 3 * 2 1/2 * 2 1/2

Answer: V = 18 3/4 cm^3

A 40-pound case of bananas costs $23.60. How much would a 70-pound case cost?

Answers

Answer:

$41.30

Step-by-step explanation:

First, divide 23.60 by 40

23.60/40 = 0.59

0.59 is the unit price, (or the worth of one {1} pound case)

0.59 * 70 = 41.3

$41.30 is the cost of a 70-pound case of bananas

hope this helps :)

PLEASE PLEAS HELP ME !!!
please help me I will give BRAINLY , 5 STARS and a THANKS

Answers

Answer:

2, 4, 8

Step-by-step explanation:

Well, it says Max put $1 on the first day(which is already entered for you), then it says that he put in $2 on the second day. Then it says that he doubles how much he puts in each day after, which just means to multiply the last entered amount by 2. So, he put in 2 x 2 = $4 on the third day, and lastly, 4 x 2 = $8 on the fourth day.

Hope this helps :)

PLS HELPPP I HAVE NO IDEA WHAT THIS IS HELPPPPP

Answers

The volume of the whole object is 12.


If you split the object in two, the top rectangle and the bottom, then you can calculate both the volumes and add them together. The top part is 1*2*2=4, the bottom is 4*2*1=8, 8+4=12.

Ps. The star (*) is a multiplication symbol.

Find an equation for the line that passes through the points (6, -1) and (-6, 2).

Answers

Answer:

[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]

Step-by-step explanation:

let D be the line that passes through the points (6, -1) and (-6, 2)

Then D has an equation of the form D: y = ax + b

Now we need to find a and b in order to be able to write the equation of the line D:

[tex]a = \frac{-1-2}{6-(-6)}= \frac{-3}{12}= \frac{-1}{4}[/tex]

Since the point (6 , -1) lies on the line D then :

-1 = (-1/4) × (6) + b

then

-1 = (-6/4) + b

then 

b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2

then

b = 1/2

Conclusion:

Since a = -1/4 and b = 1/2 then

[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]

HELP NO HURRY TAKE YO TIME FOR MY SISTERRR

Answers

Answer:

make me brainliest plsssssssss

Step-by-step explanation:

A

Which of the following produces the loudest sound?

Answers

i belive it’s c !! have a good day

Compare using >, <, or=.
3 miles
5,000 yards

Answers

Answer:

3 miles > 5,000

Step-by-step explanation:

hope this helps :)

have a great day or night.

pls brainliest first to answer.

A bag contains 6 blue marbles, 5 yellow marbles, 3 white marbles, and 1 red marble.

What is the probability of not selecting a white marble?

A. 2/3

B. 3/4

C. 4/5

D. 1/5

Please explain how you got the answer so I can learn

Any links and you will be reported please help

Answers

Total number of marbles:

[tex]6 + 5 + 3 + 1 = 15 \: marbles[/tex]

Total number of possibilities excluding white marbles:

[tex]6 + 5 + 1 = 12 \: marbles[/tex]

The probability of an event occuring is given by:

[tex]p(a) = \frac{number \: of \: possibilities}{total \: number \: of \: possibilities} [/tex]

[tex]p(a) = \frac{12}{15} = \frac{4}{5} [/tex]

Letter C

Answer:

The total number of marbles in the bag is:

6 blue marbles + 5 yellow marbles + 3 white marbles + 1 red marble = 15 marbles

The probability of not selecting a white marble can be calculated as follows:

Number of non-white marbles / Total number of marbles

There are a total of 15 - 3 = 12 non-white marbles in the bag (6 blue marbles + 5 yellow marbles + 1 red marble).

So the probability of not selecting a white marble is:

12 / 15 = 4/5

Therefore, the answer is C) 4/5.

Step-by-step explanation:

How can you decompose the composite figure to determine its area? as three triangles and a circle as two triangles, a rectangle, and a circle as a triangle, a pentagon, and a semicircle as a triangle, a rectangle, and a semicircle

Answers

We can decompose the composite figure into a triangle, a rectangle, and a semicircle in order to find the area of the composite figure.

What is the area?

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

The area of the composite figure is equal to the sum of area 1, area 2, and area 3

Area 1 - triangle

Area 2 - rectangle

Area 3  - semicircle

We can decompose the composite figure into a triangle, a rectangle, and a semicircle in order to find the area of the composite figure.

Hence option d is correct.

To learn more about the area refer to the link;

https://brainly.com/question/11952845

Answer:

option D

Step-by-step explanation:

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