Given P(A) =0.7, P(B) =0.55 and P(A n B) =505, find the value of P(B|A), rounding to the nearest thousandth if necessary

Answers

Answer 1

The value of P(B|A), rounding to the nearest thousandth if necessary is  0.331.

What is probability?

The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur.

Recall our formula for the probability of A or B:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

We are given are variables already, which we can once again define:

P(A) = 0.55

P(B) = 0.42

P(A ∪ B) = 0.639

To find P(A ∩ B), we start by plugging in the values into our formula:

0.639 = 0.55 + 0.42 - P(A ∩ B)

We can add the RHS of the equation:

0.639 = 0.97 - P(A ∩ B)

Subtracting 0.97 on both sides, we get closer to our answer:

-0.331 = -P(A ∩ B)

To obtain our final answer, we can simply just divide both sides by -1:

0.331 = P(A ∩ B)

P(A ∩ B) = 0.331

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Related Questions

If b = -2, what is 3b-7 ?

Answers

Answer: 3(-2)-7= -13

3 x -2 = -6

-6 -7 = -13

scribe two different methods to find the elapsed time from 2:30 p.m. to 2:58 p.m.

Answers

Answer:

Subtract 58-30 and add a 2:28. And Subtract 2:58-2:30

Step-by-step explanation:

The owner of an apple orchard knows that the average weight of Granny Smith apples is 380 grams. Which of the following sample sizes would have the greatest variability? Please help

A. 20
B. 25
C. 30
D. 35

Answers

Answer:

35

Step-by-step explanation:

its right on edge

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

Answers

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Which graph represents the function g(z)=√2-1+1?

Which graph represents the function g(z)=2-1+1?

Answers

In response to the given question, we can state that Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.

what is function?

Mathematicians examine numbers and complex variations, equations and associated structures, forms and their locations, and prospective positions for these things. The term "functioning" signifies the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and results in which each input leads to a single, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used this to denote functions (x). The symbol for admission is an x. The four primary types of usable functions are on operations, one-to-one capabilities, so multiple functionality, in capabilities, and then on functions.

Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.

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Find an ordered pair (x, y) that is a solution to the equation.
3x-y=6

Answers

To find an ordered pair (x, y) that is a solution to the equation 3x - y = 6, we can choose any value of x and solve for y.

For example, if we let x = 2, then:

3x - y = 6
3(2) - y = 6
6 - y = 6
-y = 0
y = 0

So, when x = 2, y = 0, and the ordered pair (2, 0) is a solution to the equation 3x - y = 6.
The answer is 2,0 I hope that helps you

Which of the following correctly defines a population parameter?


A. a characteristic of the population

B. the difference between the maximum and minimum value of a sample

C. the difference between the maximum and minimum value of the population

D. a characteristic of a sample

Answers

The correct answer is A. a characteristic of the population.

A population parameter refers to a specific characteristic


A population parameter refers to a specific characteristic or numerical value that describes the entire population being studied. It is a fixed value that is typically unknown and estimated using sample data. Examples of population parameters include the population mean, population standard deviation, population proportion, etc.

PLEASE HELP!!!

Fill in the blank:

The value of 8 dimes is ____ % the value of a dollar. (Remember, 60 cents = 60% the value of a dollar)

List a combination of coins that is 130% the value of a dollar. _____

Blank 1:
Blank 2:

Answers

Answer:

80%

Step-by-step explanation:

This is because if 60 cents is 60% of a dollar then 80 is 80% of a dollar. I got 80 because a dime is worth ten cents and 8 times 10 equals 80. so that would be 80%

help me out please omg bro

help me out please omg bro

Answers

Answer:

$ 3.75

Step-by-step explanation:

divide 10.50 by 2.8 which gives us 3.75

Answer:

B $ 3.75

Step-by-step explanation:

hope it helps you

A university is interested in determining the average statistics anxiety score for all undergraduate students in the U.S. For a random sample of 33 undergraduate students, it is found that the average average statistics anxiety score is 39.4 with a standard deviation of 0.9. Assume that the statistics anxiety scores for all undergraduate students in the U.S is normally distributed. A 98% confidence interval for the true mean statistics anxiety score μ is closest to.

Answers

The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).

To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:

Confidence interval = sample mean ± (critical value * standard error)

First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error (SE) using the formula:

SE = standard deviation / √sample size

In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156

Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)

Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363

This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

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A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters?

A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this

Answers

The lateral area of a shape includes all of its faces except top and bottom. In this case, the lateral surface area includes the three rectangles and excludes the two triangles. Two rectangles have sides of 8cm and 5 cm, and one triangle has sides of 8 cm and 6 cm, then the lateral surface area is:

\(LA=8\cdot5+8\cdot5+8\cdot6=128\operatorname{cm}^2\)

evelyn is making two rectangular table tops. the dimensions of both are shown. if both designs have the same area, what is the value of x? the dimensions of table one is x+4 and x. the dimensions of table two is 2x+3 and x-2

Answers

The value of x is for the two rectangular table to have the same area is 6 or -1.

How to solve an equation

The dimensions of table one is x+4 and x, hence the area is:

Area = length * breadth

A = (x + 4)(x)

A = x² + 4x

The dimensions of table two is 2x + 3 and x - 2, hence the area is:

Area = length * breadth

A = (2x + 3)(x - 2)

A = 2x² - 4x + 3x - 6

A = 2x² - x - 6

Since both tables have same area, hence:

x² + 4x = 2x² - x - 6

x² - 5x - 6 = 0

x² - 6x + x - 6 = 0

x(x - 6) + 1(x - 6) = 0

(x + 1)(x - 6) = 0

x = -1 or 6

The value of x is 6

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Compute |p| and |q|. Where:

p(t)= 3t- t^2
q(t)= 3+2t^2

Answers

Answer:

the answer is 4 bc well idk

p(t) = 3t - t^2

Set to 0

-t^2 + 3t = 0
t(-t+3) =0
t = 0
-t + 3 = 0
-t = -3
t = 3

Therefore t = 3/0

q(t) = 3 + 2t^2

Set to 0

2t^2 + 3 = 0

2t^2 = -3

t^2 = -3/2

t = - or + root 6/2 i (stands for root -1)

Pleas help me fast!

Pleas help me fast!

Answers

Answer:

35

Step-by-step explanation:

17-7+5^2  Divide 28 by 4

17-7+25  5 to the power 2 is 25

10+25     add 25 and 10 and you get 35.

35

Answer:

35

Step-by-step explanation:

5. Jamal is taking a road trip. He plans to travel a total of 350 miles over the course of 8 days. If he plans on driving an equal amount each day, how far will he travel each day? Solve and check!​

Answers

Answer: 43.75 miles per day.

Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.

At the end of the sale, 22 crossbody purses were sold at $15 each, 34 wristlets priced at $12 were sold, 96 satchels marked at $35, and 18 beach bags sold at $20. What was the average cost per item sold throughout this band fundraiser? R

Answers

Answer:

Average: 26.223529411764706 (Please round to the place value necessary since it does not say in the question.)

Step-by-step explanation:

We first find the number of items sold: 170

Then we find the total cost: 4458

We then divide 4458 by 170

We end up with the answer 26.223529411764706. (Please round to the place value necessary since it does not say in the question.)



Fran has a drawer containing 4 black T-shirts, 3. orange T-shirts, and 5 blue T-shirts. If she picks one T-shirt at random from the drawer, what are the chances that it will NOT be orange?

Answers

Answer: 75%

Step-by-step explanation: 4+3+5=12. 12-3=9. So the probability of not picking orange is 9/12, or 3/4. 3/4=75%. So the answer would be 75%

The heights of the girls on a basketball team are shown in the table.
Player
Hanson
Jones
Kingsbury
Lane
Kerr
Busby
Folson
Stills
Height (cm)
155
160
163
158
163
154
163
168
What is the range of heights?
A 8
B. 13
C. 14
D. 155
E. 168

Answers

The range of heights in the data set is the difference between the highest height and lowest height which is C. 14 cm.

What are the mean, median, mode, and range of a data set?

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

The range of a data set is the difference between the highest term and the lowest term.

Given, The heights of the girls on a basketball team.

Now, from the data set Busby has a height of 152 cm and Stills has a height of 168 cm.

So, The range of heights is (168 - 154) cm.

= 14 cm.

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Help pls any kind soul pls help

Help pls any kind soul pls help

Answers

Answer:

3x

Step-by-step explanation:

If Dan is x years old and Olly is 3 times as old, that means that Olly's age is 3 * x or 3x for short.

Answer:

3x

Step-by-step explanation:

If Dan is x years old and Olly is 3 times old as Dan, then the expression is 3x.

The dollar value vt) of a certain
v (t) = 27,500 (0.84)^t
Find the value of the car after 6 years and after 10 years.
Round your answers to the nearest dollar as necessary.
si
Value after 6 years:
Value after 10 years:

The dollar value vt) of a certainv (t) = 27,500 (0.84)^tFind the value of the car after 6 years and after

Answers

if you  would've payed attention you wouldn't ask brainly-

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed 79.5 kilograms. He gained weight at a rate of 5.5 kilograms per month.
Let y represent the sumo wrestler's weight (in kilograms) after x months.
Which of the following could be the graph of the relationship?
Choose 1 answer:

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started

Answers

Answer:

It's the graphic A.

,,,,,,

write log2 1/16=-4 in exponential form

Answers

Therefore , the solution of the given problem of expressions comes out to be  the exponent is -4 and the base is 2, meaning that 2 raised to the power of -4 = 1/16.

What exactly is an expression?

Estimates should not be produced at random but rather by increasing, decreasing variable, and stopping moving numbers. They could only be able to assist one another by transferring equation, resources, or answers to problems. In addition to numerical computations as addition, negation, synthesis, and combination, a statement of truth may also contain formulas, components, and notations.

Here,

In exponential form,

=> log2 1/16 = -4 is represented as:

=> 2⁻⁴ = 1/16

In this case, the exponent is -4 and the base is 2, meaning that "2 raised to the power of -4 = 1/16."

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The quotient of a number and 6 minus
is 1

Answers

Answer:

let the number x

x=6-1

x=5

Answer:

x=7 or x=-7 (think its 7)

Step-by-step explanation:

Trying to think on the top of my head. Don't sleep on it.

the length of a rectangle is 2ft more than twice the width. the area of the rectangle is 40 ft².find the length and the width of the rectangle. ​

Answers

Answer:
length = 10 cm
width = 4 cm
Step-by-step explanation:
width = w
length = 2w + 2
area = 40 ft²
A = lw
40 = (w)(2w + 2)
40 = 2w² + 2w
2w² + 2w - 40 = 40 - 40
____________
2w² + 2w - 40 = 0

w² + w - 20 = 0
(w+5) (w-4) =0
w+5 - 5 = 0 - 5
_______
w = -5 - there's
no negative measurement/s
w - 4 + 4 = 0 + 4
_______
w = 4
w = 4 = width
length = 2w + 2 = 2(4) + 2 = 10ft
check:
A = lw
A = 40
40 = 10 × 4
40 = 40✓

Zack is on his school's color guard and is practicing throwing and catching his flag. He throws the flag into the air from a height of 5 feet at a velocity of 30 feet per second. After the flag starts to come back down, he catches it 7 feet above the ground.

To the nearest tenth of a second, how long is the flag in the air before Zack catches it?

Hint: Use the formula h=16t2+vt+s.

Answers

The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:

h = 16t^2 + vt + s

Where:

h is the height of the flag,

t is the time in seconds,

v is the initial vertical velocity of the flag,

s is the initial height of the flag.

In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).

We can rewrite the equation as:

7 = 16t^2 + 30t + 5

To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.

The quadratic equation in this case is:

16t^2 + 30t + 5 - 7 = 0

16t^2 + 30t - 2 = 0

Now, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Applying the values from the quadratic equation, we have:

t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)

Simplifying further:

t = (-30 ± √(900 + 128)) / 32

t = (-30 ± √1028) / 32

Using a calculator, we find two solutions:

t ≈ -1.08 seconds or t ≈ 0.06 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

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1) Convert 2-7i to trigonometric form

2) Use the n-th roots theorem to find the requested roots of the given complex number.
Find the cube roots of 125

Answers

Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

In the diagram, the measures of 23 and 27 are 45°. The measure of 25 is
135°. Are lines cand dparallel?
F
5
8
OA. Yes, because 23 and 27 are congruent.
OB. No, because 27 and 25 are not congruent.
C. Yes, because 25 and 27 are supplementary.
D. No, because 23 and 25 are not supplementary.

Answers

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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A net of a triangular prism is shown below.
8 ft
3 ft
0 TO 900k
3ft -
5ft
explore
5 ft
re
What is the surface area, in square feet, of the triangular prism

A net of a triangular prism is shown below.8 ft3 ft0 TO 900k3ft -5ftexplore5 ftreWhat is the surface

Answers

Answer:

answer: its c 108

Step-by-step explanation:

for the rectangles I just did base x height for all of them and got 24, 32, and 40 then I do the two triangles for those its just base x height ÷ 2 So 4 x 3 = 12 then I divide that by 2 and get 6 but since there's two of those triangles I multiply by 2 and end up with twelve again then I add all of these numbers up so...

24 + 32 + 40 + 12 = 108 Hope this makes sense to you!

Wich calculation will ALWAYS have a result greater than 1​

Answers

Step-by-step explanation:

number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 - a fraction less than 3/4 D.7/8 a number less than 1

Adam went to Target and bought items for $45.05, $9.29, and $0.89. How much did these three
items cost together?

Answers

The answer is 55. 23 dollars because if you add 45.05
+. 9.29
—————————
54.34
+. 0. 89
—————————
55.23
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