If A and B are independent events, P(A and B) =

Answers

Answer 1

Answer:

If A and B are independent events, then the events A and B' are also independent. Proof: The events A and B are independent, so, P(A ∩ B) = P(A) P(B). From the Venn diagram, we see that the events A ∩ B and A ∩ B' are mutually exclusive and together they form the event A.

Answer 2

Answer:

Step-by-step explanation:

Given A and B are independent events, P(A and B) = P(A)*P(B)


Related Questions

Which expression is equivalent to −10x−10+2x+9?

Answers

Answer:

-8x - 1

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-10x - 10 + 2x + 9

Step 2: Simplify

Combine like terms (x):                                                                                        -8x - 10 + 9Combine like term:                                                                                              -8x - 1

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{-10x - 10 + 2x + 9}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{-10x + 2x - 10 + 9}[/tex]

[tex]\large\textsf{-10x + 2x}\\\\\large\textsf{ = \bf -8x}[/tex]

[tex]\large\textsf{-10 + 9}\\\\\large\textsf{ = \bf -1}[/tex]

[tex]\boxed{= \large\textsf{\bf -8x - 1}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -8x - 1 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Translations _______ side lengths of the figure. A. alter B. all of these C. change D. preserve

Answers

Answer:

alter I think I am small but also I know these

A restaurant owner is planning to have a courtyard area sodded. The sod comes in rolls that are 3 feet long by 1 foot wide. If the courtyard measures 60 feet by 50 feet, which of the following expressions represents the number of rolls of sod needed?

Answers

Answer:

[tex](60\times 50)\div 3[/tex]

Step-by-step explanation:

We are given that

Length of roll of sod, l=3 feet

Width of roll of sod, b=1 feet

Length of courtyard, L=60 feet

Breadth of courtyard, B=50 feet

Area of rectangle=[tex]Length\times breadth[/tex]

Using the formula

Area of roll of sod=[tex]3\times 1 feet^2[/tex]

Area of roll of sod=3 square feet

Area of courtyard=[tex]60\times 50[/tex] square feet

Number of rolls of sod needed=[tex]\frac{Area\;of\;courtyard}{area\;of\;roll\;of\;sod}[/tex]

Using the formula

Number of rolls of sod needed=[tex]\frac{60\times 50}{3}[/tex]

Number of rolls of sod needed=[tex](60\times 50)\div 3[/tex]

This is required expression which represents the number of rolls of sod needed.

Solve the following

(23-45)+(93÷6)×23 ​

Answers

334.5 ,699/2 , 334 , 1/2

Twenty of the 50 digital video recorders (DVRS) in an inventory are known to be detective What is the probability that a randomly selected item is defective?​

Answers

Answer:

3/5

Step-by-step explanation:

Remember that odds for plus odds against must be 1. Therefore, 20 out of 50 of the DVRs are defective, so 30 out of 50 would work.

30/50

simplifies into 3/5 so that would be the probability of you picking out a DVR that works, and the probability of picking one that does not work would be the leftover 2/5 . Or, if you're answering with a percent, you would have a 60% chance of picking a working DVR.

I hope this helps, I know the explanation isn't really clear, but I can't really think of another way to explain it.

Write 48596 in standard form​

Answers

Answer:

forty-eight-thousand five-hundred and ninety-six

Real number: 48596
Standard form: 48596X10^4

the temperature at the foot of a mountain is 5.9 ° C. The temperature decreases by 1.7 ° C for every increase of 200m in height. If the height of the mountain is 1000m, what is the temperature at the top of the mountain?​

Answers

The temperature at the top of the mountain will be at 101,325 atmospheric pressure.

What does the point (1994, 400) on the graph represent?

Answers

Answer: There are 400 tadpoles in the year 1994.

This is because any point is of the form (x,y) where in this case

x = year number

y = tadpole population number

So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.

In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.

From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.

A group of 11 students participated in a quiz competition. Their scores are shown below:
Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)

Answers

[Part A] a histogram

     A histogram would best represent the range of the scores by quartiles.

     A dot plot would should how the data is distributed, but it does not easily show quartiles. A box plot, while like a histogram, only uses an interval scale. The histogram can show discrete data, and the data given is. What does discrete data mean? It means, in summary, that the data points are individually distinct.

     Using this information, we can decide that a histogram is probably our best choice.

[Part B] see attached

     First, we will label the y-axis "Frequency" and the x-axis "Score" to show which value is which. We will then label the axes with numbers to represent our data.

     Next, we will put our data into the graph. See attached, I made this using www.socscistatistics.com/descriptive/histograms/.

Read more about your problem here: https://brainly.com/question/24283269

Which of the following is TRUE * 1 point
(+6) x (-4) = -10
(+32) ÷ (˗8) = +4
(-5) - (-11) = + 6
(-7) + (+9) = -16

Answers

-5 minus -11 equals 6+

Help quick pls

The product of three different positive integers is equal to 7^3. What is the sum of the three integers?'

Answers

Answer:

it must be 21

Step-by-step explanation:

I have very fast I think giving test just thank the answer after test mark me brainliest

If x = 3, y = -2 and z=
-5, evaluate 3y2-5x/3xz

Answers

Answer:

12-15/ - 45=

3/-45

=-15

Step by step explanation:

What is the value of y, if the standard deviation of 8, 8, 8, 8, y, 8 is 0?​

Answers

Answer:

y = 8

Step-by-step explanation:

First, we know that the equation for standard deviation is

σ = √((1/N)∑(xₐ-μ)²), with σ being the standard deviation, N being the count of numbers, xₐ being individual values, and μ being the mean. Working backwards, we have

0 = √((1/N)∑(xₐ-μ)²)

Squaring both sides, we get

0 = (1/N)∑(xₐ-μ)²

Since 1/N cannot be 0, we know that

0 = ∑(xₐ-μ)²

Since (xₐ-μ)² can only be ≥0, this means that each value of xₐ-μ must be equal to 0, so

0 = xₐ-μ for each a

xₐ = μ

This leads to the conclusion that each value is equal to the mean, so the mean must be 8.

The mean is equal to the sum / amount of numbers. There are 6 numbers, and the sum is (40+y). The mean is

8 = (40+y)/6

multiply both sides by 6

6*8 = 40+y

48 = 40 + y

This means that

y = 8

Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 7 pieces.

Answers

Answer:

24.5 inches need to be cut

Step-by-step explanation:

what is the slope of the line shown below (6, 6) (1, -4)

Answers

Answer:

2

Step-by-step explanation:

To find the slope of a line, you must get two points off the line

Two points will be: (6, 6) and (1, -4)

Then use the Slope-Formula to solve for the slope of the line

m = slope
m = y2-y1/x2-x1
m = -4-6/1-6
m = -10/-5
m = 10/5
m = 2

The Slope of the line is 2

Answer:

2

Step-by-step explanation:

if you're looking at the table and you heard of rise/run, your rise is -10 if you go down from (6,6) and -5 if you go left to reach (1,-4). That will give you -10/-5 which gives you a positive 2. it would be the same if you went up 10 from (1,-4) and then 5 right to reach (6,6).


The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Bike
Walk
Travel to
school
Number
of pupils
Walk
9
120°
Car
Bus
Bus
Car
Bike
Total
36

Answers

Answer:

bike=7

car=8

walk=9

bus=12

Step-by-step explanation:

Answer:

Look at picture

Step-by-step explanation:

pls help i need this answer

Answers

Decimal form 0.0625
Fraction form 1/16

I think,sorry if it’s wrong
In fraction form it’s 1/16

The yearly cost in dollars y, for a member at a video game arcade based on total game tokens purchased, x, is y=1/2x+6. A nonmember pays $20 per game token, but no yearly fee. Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?

Answers

Answer:

y = 20x

Step-by-step explanation:

For members

y = 1/2x + 6

Where,

y = yearly cost in dollars

x = total game tokens purchased

1/2 = cost of each game token

6 = yearly fee

For non members: without yearly fee

A nonmember pays $20 per game token

y = 20x represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year

Answer:

B,C,E

Step-by-step explanation:

Got it right on Edge

I need help on my math!!!!!!!

Answers

Answer:

67

Step-by-step explanation:

GOOD LUCK!!

Covert 1.18 into a fraction

Answers

1 18/100
1 9/50 is the answer

Answer:

13/11

Step-by-step explanation:

| would assume you mean 1.18 recurring, because 1.18 as a fraction is 59/50.

To work out 1.18 recurring, first we ignore the 1.0 and focus on 0.18 recurring.

If x = 0.18 recurring

  100x = 18.18 recurring

  99x = 18

  x = 18/99

     = 2/11

Now, we add on the 1.0 (11/11) to get 13/11

A certain medical test is known to detect 59% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:

Answers

Answer:

[tex]P(x = 3) = 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]p=59\% = 0.59[/tex]

Required

[tex]P(x = 3)[/tex] --- probability that 3 are afflicted

This question illustrates binomial probability and it is calcuated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 0.048[/tex]

Whose solution strategy would work?

Answers

Answer:

1452628383763637£838

Answer:

B

Step-by-step explanation:

x/2-y+6=0 in slope intercept form

Answers

Answer:

[tex]y= \frac{1}{2} x +6[/tex]

Step-by-step explanation:

[tex]x/2-y+6=0[/tex]

[tex]x/2 +6=y[/tex]

[tex]y= \frac{1}{2} x +6[/tex]

(X, Y) satisfy the equation? JW Is (-94,-5) a solution to the equation y = x + 89? yes no​

Answers

Answer:

si

Step-by-step explanation:

si  :v

Answer:

yes

Step-by-step explanation:

y = x + 89

-5 = -94 + 89

-5 = -5

Which is equivalent (Algebra ll)

Answers

Answer:

D : [tex]x^{2} +81=x^{2} +20x+100[/tex]

Step-by-step explanation:

We start with the original equation:

[tex]\sqrt{x^{2} +81} =x+10[/tex]

Squaring both sides to remove the square root we get:

[tex]x^{2} +81=(x+10)^{2}[/tex]

Expanding the right side:

[tex]x^{2} +81=(x+10)(x+10)[/tex]

Multiplying the right side out and combining like terms we get:

[tex]x^{2} +81=x^{2} +20x+100[/tex]

Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
O $22 AUD X
1.2 USD
1 AUD
O $22 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1.2 USD
1 AUD

Answers

Answer:

The answer is B

Step-by-step explanation:

B

The 22 Australian dollar in USD is 18.33.

What is currency?

Currency is a medium of exchange for goods or services within an economy, usually issued by a government or central bank and generally accepted at its face value.

Given that, we need to determine that there are how many USD in 22 AUD,

So, 1.2 Australian dollars equals 1 US dollar.

Therefore,

22 AUD = 22 x 1 / 1.2 = 18.33

Hence, the 22 Australian dollar in USD is 18.33.

Learn more about currency, click;

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#SPJ7

Please help it’s needed

Answers

very easy    

[tex]\displaystyle\ (f-g)(x)=f(x)-g(x)=4x^2-5x-3x^2-6x+4=\boxed{x^2-11x+4}[/tex]

[tex]\\ \sf\longmapsto f(x)=4x^2-5x[/tex]

[tex]\\ \sf\longmapsto g(x)=3x^2+6x-4[/tex]

Now

[tex]\\ \sf\longmapsto (f-g)(x)[/tex]

[tex]\\ \sf\longmapsto f(x)-g(x)[/tex]

[tex]\\ \sf\longmapsto 4x^2-5x-(3x^2+6x-4)[/tex]

[tex]\\ \sf\longmapsto 4x^2-5x-3x^2-6x+4[/tex]

[tex]\\ \sf\longmapsto x^2-11x+4[/tex]

What is the scale factor from ABC to DEF?

Answers

Answer:

0 so D

Step-by-step explanation:

The shape didnt change at all. All the sides are 5 for both triangles.

C
Explanation: any side you have is multiplied by some sort of scale factor. In this instance, if you multiply the sides of ABC by a scale factor of 1, you will get the similar side lengths of DEF (the same as ABC)
Answer D may be tempting but multiplying your sides by 0 would make the triangle…well disappear :D

10 points!!!!!:)

Describe the graph of the function.

[tex]y = \sqrt{x + 3} [/tex]
a). the graph is a radical function y=sqrt(x) shifted 3 units right.
b). the graph is a radical function y=sqrt(x) 3 units left.
c). the graph is of exponential growth.
d). the graph is an absolute value function with vertex (-3,0).

pls help me:).

Answers

Answer:

b) y=sqrt(x) shifted 3 units left

Step-by-step explanation:

3rd line in the attached table:

f(x+3) = sqrt(x+3) horizontal translation left 3 units

Can sb help me it’s due soon

Answers

Answer:

I think 84 but you may need to check just to be sure :)

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