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.

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

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.

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.

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Answer:

3 miles > 5,000

Step-by-step explanation:

hope this helps :)

have a great day or night.

pls brainliest first to answer.

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.

Answer:

2000

Step-by-step explanation:

larger sample sizes have more reliable results

The time period of the given function will be π.

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.

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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

Right side = 5 feet.

Bottom = 1 yard + top

Bottom = 1 yard + 3 yards

Bottom = 4 yards

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.

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%.

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 :)

Answer:

845 miles

Step-by-step explanation:

Hope this helps!

Answer:

d

Step-by-step explanation:

394-153=241

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

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Answer:

Step-by-step explanation:

2

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

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]

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Step-by-step explanation:

-0.7n = -1/2

-0.7n = -0.5

n = 0.5/0.7

n = 0.715

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]

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

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.

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Answer:

option D

Step-by-step explanation:

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

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

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 :)

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!

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

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

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

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

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:

Answer:

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

Step-by-step explanation:

Answer:

make me brainliest plsssssssss

Step-by-step explanation:

A

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??????

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

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!

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: