Events A and B are independent. Let P(B)=0.4 and P(A and B)=0.13. Find P(A). Write your answer as a decimal rounded to the nearest thousandth.

Answers

Answer 1

The probability value represented by P(A) is 0.325

How to determine the probability value P(A)?

The given parameters are:

P(B) = 0.4

P(A and B) = 0.13

Given that the events A and B are independent, we have:

P(A and B) = P(A) * P(B)

So, we have:

0.13 = P(A) * 0.4

Divide both sides by 0.4

P(A) = 0.325

Hence, the probability value of P(A) is 0.325

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Related Questions

Find the value of X round to the nearest degree

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

!!!1HELPP!!PLS HELP ITS DUE TONIGHT!! Two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.
Create an organized list showing all the possible outcomes after both spinners are spun. Use R to represent red, G to represent green, W to represent white, and B to represent blue. Explain how to find the total number of outcomes from the list.

Find the probability of landing on white then blue.

Compare the probability found in Part B to the probability of landing on white and blue in either order. Explain why they different.


If a third spinner is introduced, would the probability of landing on blue, white, and green in any order still have the same relationship with the probability of landing on the same color set in a specific order? Justify

Answers

It’s a simple probability question that can be solved with an “outcome tree” and fractions. To show the possible outcomes you can pick a main color then branch off of it to show the possible outcomes. The probability of landing on white would be 2 out of 8. Landing on blue would be 2 out of 16 because the probabilities have multiplied. I know this probably doesn’t make much sense but this was the best I could explain it.

Find each angle or arc measure.

Answers

Since opposite angles of a cyclic quadrilateral are supplementary,

A= 180-101=79°

B= 180-68=112°

please help, much appreciated!!!!(✿◠‿◠)

Answers

Step-by-step explanation:

5 people.

how many ways can they line up in general ?

5 choices for the 1st position, then no matter what we picked, 4 remaining for the second, then 3 for the 3rd, 2 for the 4th and 1 for the 5th :

5×4×3×2×1 = 5! = 120 ways.

but we have restrictions. we don't want the girls not just anywhere in the line, we want them to be at the end points of the line.

and none of the boys should ever be at one of the ends.

so, we actually have only

2×1 for the endpoints and 3×2×1 for the 3 boy positions in the middle.

in total

2×1×3×2×1 = 12

under these constrictions they have actually only 12 different ways to line up.

These proteins identify and lock on to an antigen (pathogen) and then tell other parts of the body to destroy the germ and it is not D


A. T Cells


B. Phagocytes


C. Antibodies



D. Lymphocytes

Answers

Answer:

c. antibodies

Step-by-step explanation:

Antibody Functions

Attach to flagella of bacterium, restricting their movement. Multi-bind to many bacteria at once, causing them to accumulate and prevent movement around the body. Burst bacteria cell walls. Attach to bacteria, making it easier for phagocytes to ingest them.

14) Which factored form is equivalent to the expression x2 + xy – 2y – 2x?
A) (x + 2)(x + y)
B) (x - 2)(x + y)
C) (x+2)(x-y)
D) (x-2)(x-y)

Answers

Answer:

B

x(x+y)-2(x+y)

x2+xy-2x-2y

(-2y-2x=-2x-2y because of distributive property)

Write 60/105 in its simplest form.

Answers

Answer:ok

Step-by-step explanation:4/7

since 60 ÷ 15 = 4 and 105 ÷ 15 = 7 the answer is 4/7 hope this helped :)

divide out the following
-2x^2-3/x^2-2x

Answers

Step-by-step explanation:

= -2 + ( -4X-3/x²-2x)

= -2+ -4x-3/x²-2x

Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim’s percentage profit.
Give your answer to 1 decimal place.

Answers

Answer:

30/40

Step-by-step explanation:

like what the other guy said

The correct answer is 46.67%

What is profit percentage?It is the amount of profit that has been incurred in terms of  percentage.

How to solve this problem?The problem can be solved by following steps

So, According to the question

The cost price of the wardrobe given is £30

The Selling price of the wardrobe given is £44.

We need to find profit percentage

We have to use formula.

Profit percentage = [tex]\frac{ Selling price - cost price}{costprice}[/tex] × 100

                               =[tex]\frac{ 44 - 30}{30}[/tex] x100

                               = [tex]\frac{14}{30}[/tex] x 100

                              = 14.67%                          

Hence, Jim's got profit percentage is 46.67%.

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= 46.6667%  ≈ 47%

Does anyone know how to solve this! (30 points)

Answers

Answer:

Step-by-step explanation:

-16[tex]t^{2}[/tex] +50t + 3

they ask what is the height after exactly 3 seconds,  so plug in the 3 for t

t(3) = -16*[tex]3^{2}[/tex] + 50*3 +3

t(3) =  -144 +150 +3

t(3) = 9 feet,  ( the ball has gone up and come back down most of the way )

Construct the linear equation for the table.

Answers

Answer:

Step-by-step explanation:

1. Find the slope: -1

2. Y = -x +b

3. Plug in a point

4. B is 1

5. The equation is Y=-1x+1

What is 80 percent of 160?

Answers

The answer 128 cause just divide

Step-by-step explanation:

[tex] = \frac{80}{100} \times 160 \\ [/tex]

[tex] = \frac{12800}{100} [/tex]

= 128

In ΔABC, AB = 16 in, BC = 9 in, AC = 10 in. AD is perpendicular to the extension of BC . Find CD.

Answers

Answer:

25/6

I don't really know how I got it, sorry I can't help with that

What is the amplitude of the function graphed below?

Answers

Answer:

2 For the most part this is all I have at the moment hope this helps

Step-by-step explanation:

The amplitude of the function graph below is 2 because that is where halfway up each cycle of wave reaches.

if the slope is 10.5 what would be the per hour

Answers

Answer:

Uh the slope

Step-by-step explanation:

Evaluate cos-1(0.4283). Round to 1 decimal place.

Answers

Answer

0.4283

Step-by-step explanation:

Multiply

0.4283

by

1

.

Find the mean absolute deviation for each set of data. Round to the nearest Tenths.

5.2, 4.8, 5.5


4.7, 5.3, 4.9

Answers

Answer:

5.2 , 4.8 , 5.5 is 0.2

4.7 , 5,3 , 4.9 is 0.7

Can someone help me urgent.

Answers

Answer:

x = 20

Step-by-step explanation:

Angle x and the 90 degree  angle and 70 form a straight line so they add to 180

x+90+70 = 180

Combine like terms

x + 160 = 180

x = 180-160

x = 20

Aft
10 ft
3 ft
2 ft
6 ft
Surface Area =
Surfa
I need the surface area

Answers

Answer:

Step-by-step explanation:

Front and back

Givens

base = 6 feet

height = 2

Formula

Area = 1/2 B * h

Area = 1/2 * 6 * 2

Area = (2) 1/2 * 12

Area = 12 square feet for both front and back

Base

The base is a rectangle. A rectangle has the formula of  Area =  L*w

Givens

L = 10 feet

W = 6 feet

Area = 10 * 6 = 60

Left roof

The left roof is also a rectangle. Area = L*w

Givens

L = 10 feet

W = 3 feet

Area = 3 * 10 = 30 feet^2

Right Roof

The right roof is a rectangle. Area = L*w

Givens

L = 10 feet

w = 4 feet

Area = 4 * 10 = 40 ft^2

Total area

Total Area = right roof + left roof + Base + front and back

Total Area = 40 + 30 + 60 + 12

Total Area = 142 feet ^2

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). a professor is examining a new strain of bacteria. the amount of bacteria can be modeled by function s(n) = 20 · bn, where n is the number of hours and b is an unknown positive base. based on the model, there were initially bacteria. if b = 1.85, the hourly percent growth rate of the bacteria would be %.

Answers

The equation s(n) = 20.bn is an exponential equation, and the hourly percent growth rate of the bacteria would be 85%.

How to determine the hourly percent growth rate?

The value of b is given as:

b = 1.85%

Let the hourly percent growth rate of the bacteria be r.

So, we have:

b = 1 + r

Substitute b = 1.85%

1.85 = 1 + r

Subtract 1 from both sides

r = 0.85

Express as percentage

r = 85%

Hence, the hourly percent growth rate of the bacteria would be 85%.

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Answer:

20 and 85%

Step-by-step explanation:

Add 7 and 14. Subtract 1.5 from the sum.





16 4
Add 7 and 14 and then multiply the result by 4.





5 + 5 + 5 + 5
Multiply 5 by 1.1. Then subtract 3 from the product.





1.7 x 2
Multiply the difference of 1½ and 3 by 2.





(2 + 8) x 200
Silvia had $13. Her brother had twice as much as she did.





(8 + 3) x (8 + 3)
Silvia had $13. Her brother had twice as much as she did. Their cousin had $5 more than both of them had altogether.



Add 7 and 14. Subtract 1.5 from the sum.





16 4
Add 7 and 14 and then multiply the result by 4.





5 + 5 + 5 + 5
Multiply 5 by 1.1. Then subtract 3 from the product.





1.7 x 2
Multiply the difference of 1½ and 3 by 2.





(2 + 8) x 200
Silvia had $13. Her brother had twice as much as she did.





(8 + 3) x (8 + 3)
Silvia had $13. Her brother had twice as much as she did. Their cousin had $5 more than both of them had altogether.

Answers

The answer for the add 7 and 14 is 84

The ice cream stand offers chocolate, vanilla, and strawberry ice cream. Find the approximate probability the next three customers order vanilla, chocolate, and then strawberry. A. 3.7% B. 11.1% C. 16.7% D. 8.3%

Answers

Answer:

D I'm sure that's is answer thank you

An observer 160 meters away sees a rocket launch into the
air. The rocket reaches its maximum height when the ob-
server is looking at an angle of 75° relative to the ground.
What is the approximate maximum height of the rocket's
path, in meters?

Answers

Not Answer:

8

Step-by-step Non-explanation:

The first term ( -4.9(t-4)^2 ) can never be positive, so the maximum height of 80 meters is achieved when t = 4. So the rocket will reach its maximum height after 4 seconds.

The approximate maximum height of the rocket's path is 597.13 meters.

How to elaborate the problem ?

Observer sees the rocket 160 meter away from the place where rocket launched.

75° is the angle between observer and rocket, when the rocket reaches its maximum height.

Here, if we assume a triangle whose base = distance between rocket launch point and the observer.

Height = Maximum height of the rocket

How to calculate the maximum height of the rocket ?

Here, Base = 160 meter & let, maximum height = h

tan 75° = [tex]\frac{height}{base}[/tex]

⇒ tan 75° = [tex]\frac{h}{160}[/tex]

⇒ h = 160 tan 75°

⇒ h = 597.13 (approx)

The maximum height of the rocket is 597.13 meters (approx).

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Use this chart to answer the following questions.

QUARTER
DIVIDEND DIVIDEND FOR 55 SHARES
1 $.50/share 27.50
2 $.35/share 19.25
3 $.62/share
4 $.50/share 27.50
Total Dividends for 1 Year
How much would an investor with 55 shares of this stock have earned in dividends in one year?
$108.35
$106.75
$107.85
$109.05

Answers

The amount that an investor with 55 shares of this stock have earned in dividends will make in one year is A. $108.35.

How to calculate the dividend?

It should be noted that the dividend for the year will simply be calculated by adding the dividend in each quarter.

Therefore, the amount that an investor with 55 shares of this stock have earned in dividends will make in one year will be:

= $27.50 + $19.25 + $34.10 + $27.50

= $108.35

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Here are three intersecting lines.



Write an equation that represents a relationship between these angles.

Answers

Answer:

Simplify the expression using the distributive property.

6(x +7)

Group of answer choices

6x + 42

6x + 7

x + 42

Step-by-step explanation:

Which of the following is an irrational number?
AOS because it cannot be rewritten as an integer
B. 0.98 35 , because
iS a repeating decimal
0. C.T 0, because it has no value
D.O /84, because it cannot be expressed as either a terminating or repeating decimal

Answers

Answer:

D

Step-by-step explanation:

This is an irrational number as it does not repeat and has an infinite number of combinations (as like pi)

C Several groups of people wish to rent a boat. Group 1 has 4 people. Group 2 has 5
people Group 3 has 8 people. Which of the groups, if any, can safely rent a boat?
What is the maximum number of people that may rent a boat? Justify your answers

Answers

Answer:

group 69

Step-by-step explanation:

John Krasinski is Mr. Fantastic in Multiverse of Madness

what is 2^2 simplified

Answers

[tex]\Large\textsc{Answer\::}[/tex]

4

[tex]\Large\textsc{Calculations :}[/tex]

2² simplified means 2 times 2 (2 times itself) so

2² = 4

2×2=4

2²=4

Now , it doesn't make any difference with a number like 2 .

Suppose we had 3 :

3² = 9

3² is not the same as 3 ×2 , and here's the reason for that :

3²=3×3=9

3 × 2 = 6

[tex]\footnotesize\textsf{hope helpful ~}[/tex]

It would be 1/1. (Thats what safari says)
.

Kendrick was given the equations 4x+2y=14 and 3x-y=23. He decided to solve the system of equations by substitution. Each step is shown.
Step 1: 4x+2y=14
Step 2: 2y=14-4x
Step 3: y=7-2x
Step 4: 3x-7-2x=23
Step 5: x-7=23
Step 6: x=30
In which step did Kendrick make an error? Explain.

Answers

The Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Kendrick was given the equations:

Step 1: 4x+2y=14 ...(1)

3x-y=23 ...(2)

From the equation first:

Step 2:  2y = 14 - 4x

Step 3: y = 7 - 2x  put this value in the second equation

Step 4:  3x - (7 - 2x) = 23

Step 5: 3x -7 +2x = 23

Kendrick did a mistake in step 4 he did not multiply the term (7 - 2x) with -1

Thus, the Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23

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State all integer values of x in the interval (-3, 3] that satisfy the following
inequality:
-3x + 4 > 9

Answers

(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x -5/3.

We have given

-3x+4 > 9

Required values of x.

State the values of x within -3 and 3.

subtract 4 from both sides,

-3x+4-4>9-4

What is the meaning of like terms?

like terms are terms that have the same variables and powers. The coefficients do not need to match.

Collect Like Terms

-3x > 5

(-3x)(-1)   <   5(-1)

3x  <  -5

Divide both sides by 3

3x/3 < -5/3

x    <   -5/3

(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x is -5/3.

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