Which statement best explains conditional probability and independence?
When two separate events, A and B, are independent,
P(A and B) P(A).P(B)
P(BA)
P(B). This means that the
P(A)
P(A)
occurrence of event B first did not affect the probability of event A occurring next.
When two separate events, A and B, are independent,
P(A and B) P(A).P(B)
P(BA)
- P(B) This means that the
P(A)
P(A)
occurrence of event B first affected the probability of event A occurring next.
When two separate events, A and B, are independent,
P(A and B) P(A.P(B)
P(BA)
P(B)
P(A)
This means that the
PA
occurrence of event A first did not affect the probability of event B occurring next.
When two separate events, A and B are independent,
P(A and B) P(A).P(B)
P(BA)
P(B)
P(A)
P(A)
This means that the

Answer:

1 23/30

Step-by-step explanation:

you convet the mixed numbers into improper fractions then find the lowest common factor and combine :)

Answer:

1:5

5

2

Step-by-step explanation:

1:5

5

2

Answer:

b. 366 square inches

Step-by-step explanation:

The area of a triangle is 1/2×Base×Height. There are 2 pairs of identical triangles so you multiply each equation by 2.

2×(1/2×10×12) = 120 in²

2×(1/2×18×12) = 216 in²

120 in² + 216 in² = 336 in²

Answer:

336 square units

Step-by-step explanation:

Generally, to find the area of the given quadrilateral (which is presumably a kite), one uses the following formula,

[tex]\frac{(base)*(hieght)}{2}[/tex]

In this picture, one can see that the diagonals (dotted lines that connect opposite corners) are given, but their measurements are split up as per the segments they are divided into. In order to find the lengths of each diagonal, add up the two parts. To find the area of the figure, substitute the results into the given formula to find the area,

[tex]12+12=24\\\\10 + 18 = 28[/tex]

Substitute,

[tex]\frac{24*28}{2}\\\\=\frac{672}{2}\\\\=336[/tex]

Answer:

I think the y intercept is (0,-26)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the slope:

Use point-slope form to find the equation of the line:

The y-intercept is - 26

Answer:

Bedroom 2 will be considered as the Master bedroom.

Step-by-step explanation:

Area of bedroom 1 = Area of room 1 - Area of the closet 1

Area of the room 1 = Length × Width  

                               = (2.5 + 1.4) × (4.3+0.6)

                               = 3.9 × 4.9

                               = 19.11 m²

Area of closet 1 = 1.5 × 0.6

                          = 0.90 m²

Area of bedroom 1 = 19.11 - 0.90

                                = 18.21 m²

Area of bedroom 2 = Area of room 2 - (Area of bathroom + Area of Hall)

Area of room 2 = (3 + 3.1) × (2.5 + 2.4)

                         = 6.1 × 4.9

                         = 29.89 m²

Area of bathroom = 3 × 2.5

                              = 7.5 m²

Area of Hall = 1.2 × 2.4

                    = 2.88 m²

Area of bedroom 2 = 29.89 - (7.5 + 2.88)

                                 = 29.89 - 10.38

                                 = 19.51 m²

Since, area of bedroom 2 is greater than bedroom 1.

Therefore, Bedroom 2 will be considered as the Master bedroom.

Answer:

x ≥ 2

Step-by-step explanation:

Shaded circle means ≥ or ≤ . Since the arrow is pointing right, it's showing 2 is greater than or equal to x, meaning ≥ .

Answer:

560 Tickets

Step-by-step explanation:

40 tickets in 30 minutes will become 80 tickets in 60 minutes (an hour)

Multiply 80 by 7 to get 560

Answer:

f(x) = 3x³ + x² + 22

Step-by-step explanation:

Given

f'(x) = 9x²+2x

To get f(x), we will be integrating the function

f(x) = 9x³/3 + 2x²/2 + C

f(x) = 3x³ + x² + C

at (-2,2)

2 = 3(-2)³ +(-2)² + C

2 = -24 + 4 + C

2 = -20 + C

C = 2+20

C = 22

Get the required function

f(x) = 3x³ + x² + C

f(x) = 3x³ + x² + 22

Answer:

108°

Step-by-step explanation:

hii!

lmn would be equal to 85 plus 23.

this is because those angles both make up the big angle lmn, so the answer is 108 degrees.

hope this helped you :)

m[tex]\angle{LMN[/tex] is 108°.

To form an angle we need at least two rays with one common endpoint this is also known as vertex of the angle.

There are many types of angles.For example - Acute angle, Obtuse angle, Right angle, complementary angle, Supplementary angle.

The most common unit for measuring an angle is in degrees and in radians,Where 1 rad = 180°.

According to the given question.

[tex]\angle{LMP[/tex] and [tex]\angle{PMN[/tex] are given they are 85° and 23° respectively.

From the given diagram we can observe that [tex]\angle{LMN[/tex] is sum of the angles [tex]\angle{LMP[/tex] and [tex]\angle{PMN[/tex].

∴ [tex]\angle{LMP[/tex] + [tex]\angle{PMN[/tex] = [tex]\angle{LMN[/tex]

     85° + 23° = 108°.

So, [tex]\angle{LMN[/tex] = 108°.

Learn more about lines and angles here :

https://brainly.com/question/19734324

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Answer:

it dropped 9% from last year

Answer:

x>4

Step-by-step explanation:

Solving an inequality is very similar to solving an equation:

Given: 7x-6>22

Add 6 to both sides: 7x>28

Divide both side by 7: x>4

x>4 means that all x-values that are greater than 4 will work. Therefore you would write an open dot at x=4 on the number line to show that 4 isn't included, and draw an arrow going right to show all possible solutions greater than 4.

Answer:

54 degrees

Step-by-step explanation:

So, lets go over what we know.

Angle PRS is 90 degrees(we can tell by the small square shape inside of the angle)

We also know that Angle PR is 36 degrees.

We need to find x, angle RS.

To do this, lets subtract Angle PR from Angle PRS, or 36 from 90:

90-36

=

54

Since Angle PRS - Angle PR = Anlge RS, this means:

90-36=54

So 54 is our answer!

Hope this helps!

Answer:

3,140, 47,035

Step-by-step explanation:

Answer:

Question 1:   3. certain

Question 2:  2. 1/6

Step-by-step explanation:

There are six sides on a die.

1. You cannot roll a 7.

2. You can roll a 1, there is a 1/6 chance you roll that. However, there is zero chance you roll an 8.

Answer:

9 pizzas total were bought for a party. Maya ate 1/3 of a pizza. John ate 4/9 of the same pizza. How much pizza is left?

Answer: 74/9 or 8.2

Step-by-step explanation:

first add 4/9 and 1/3 since it's in parenthesis

4/9+1/3

they need to have the same denominator, use the LCM (which is 9)

multiply 1/3 by 3 to achieve the LCM

4/9+3/9

add together numerators

7/9

subtract 7/9 from 9

9/1-7/9

get 9 to achieve the LCM (which is 9 again)

multiply 9/1 by 9

81/9 minus 7/9= 74/9

Answer:

57 i think

Step-by-step explanation:

Answer:

83 is still the mode

Step-by-step explanation:

The maximum possible value for the new mode is 83.

The data value that is repeated the most in the data set is called the mode of the given data set.

Given is that Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four absent kids made it up and scored 77, 83, 68, and 80.

Initially, the mode of the class of 18 students is 83. This means that most of the students scored the 83 marks in the test. After four students took the test, the maximum probability that the mode will remain 83 is the highest. Also, one of the four numbers scored 83 itself.

Therefore, the maximum possible value for the new mode is 83.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

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Answer:

57

Step-by-step explanation:

90 - 40% = 57

Answer:

The shoes would be $57

Step-by-step explanation:

To calculate percentage you use the equation:

P% x N = A

Before we use it we convert the number 40 into the tenths place of a decimal, 0.40.

Now we use it!

.40 x 95 = 38

38 would be 40%, so we remove it from the last total aka 95

95 - 38 = 57

Answer:

25

Step-by-step explanation:

(14÷2)×5+6(3×(4+1))÷5

using BODMAS

7×5+6(3×5)÷5

=7×5+6×15÷5

=35+90÷5

=125÷5

=25

Answer:

1. (14 ÷ 2) x 5 + 6 = 41

2. {3 x (4 + 1)} ÷ 5 = 3

Step-by-step explanation:

PEMDAS. VERY IMPORTANT. THIS ACRONYM WILL HELP YOU WHEN SOLVING MULTI-STEP PROBLEMS. IF YOU DO NOT KNOW IT, SEARCH IT UP. I'LL BE USING PART OF THIS ACRONYM TO SOLVE THIS PROBLEM.

First you solve things in paratheses:

1. (14 ÷ 2) x 5 + 6 -> (7) x 5 + 6

2. {3 x (4 + 1)} ÷ 5 -> {3 x 5} ÷ 5 -> 15 ÷ 5

Then, you multiply or divide next:

1. (7) x 5 + 6 -> 35 + 6

2. 15 ÷ 5 = 3

We already have the answer to number 2, but not number one, so we will keep going. Finally, you subtract or add:

1. 35 + 6 = 41

Now you have your answers. Hope this helps!

Answer:

0 onto functions

Step-by-step explanation:

Let the sets be [tex]A\ and\ B[/tex] such that:

[tex]n(A) = 3[/tex]

[tex]n(B) = 8[/tex]

Required

The number of onto functions

The condition for onto functions is:

For there to be an onto function from set A to set B, the number of elements of B must be less than the elements in set A

Since n(B) > n(A) i.e. 8 > 3

Then, there can't be onto functions from A to B

Answer:

y= -1,800x+39,000

2. 39,000

Step-by-step explanation:

Answer: C the y intercept is 36,000 and the rate is 1,800

Answer:

960

Step-by-step explanation:

80% = 0.8

0.8 * 1200 = 960

Answer:

960

how: 80% = 0.8 then: 0.8 * 1200 = 960

Answer:

31.5

explanation if you need it -

b3 + y

when b = 3 and y= 4.5

b x b x b + y

1, substitute the values

3x3x3 + 4.5

27+ 4.5

31.5

Answer:

1a. [tex]\frac{3}{4}[/tex]

1b. [tex]\frac{7}{10}[/tex]

1c. [tex]\frac{3}{10}[/tex]

1d. [tex]\frac{1}{3}[/tex]

2a. [tex]\frac{3}{4}[/tex]

2b. [tex]\frac{1}{5}[/tex]

2c. [tex]\frac{3}{10}[/tex]

2d. [tex]\frac{9}{10}[/tex]

2e. [tex]\frac{1}{20}[/tex]

3. [tex]\frac{1}{8}[/tex]

Answer:

A

Step-by-step explanation:

x = 0

y = -3

Answer:

My best bet is (0,-3) sorry if I'm wrong