A and B are independent events, A and C are dependent. P(A|B) = 0.3, P(A|C) = 0.2. Find P(A).

Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

P(A) = 0.3

Step-by-step explanation:

independent event:

P(A|B) = P(A) = 0.3

Answer 2

The value of P(A) is equal to 0.3 to the nearest tenth.

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

It is showing that whether one occurred or not, the other one doesn't care about it (independence).

Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,

P(A|C) = 0.2.

We know that for the independent event:

P(A|B) = P(A)

Hence, P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

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Related Questions

Which expression is equivalent to x2-16 ?

Answers

Answer:

Step-by-step explanation:

You should indicate which type of expression are you expecting.

But intuitively, x^2 + 16 = x^4 + 4^2 = (x+4)^2 - 8x

The type of speech used to encourage the audience to take action is
O Entertaining
O Informative
O Motivational
O Persuasive

Answers

the answer is Motivational

Answer:

Motivational

Step-by-step explanation:

Write the decimal 2.06 as a mixed number.
Written as a mixed number, the decimal 2.06 is

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Answer:

[tex]2\frac{3}{50}[/tex]

Step-by-step explanation:

So 2 would be your whole number

and since 6 is in the hundredths place the fraction would be 6/100 which is reduced to 3/50

The length of a cut board in a sawmill should be within 2% of the board’s length. Write an absolute value inequality that describes the length L of an acceptable board with an official length of 12 feet. Solve the inequality and summarize the answer using a complete sentence.

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Answer:

d

Step-by-step explanation:

Find the value of x. Pythagorean theorem and its converse

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There’s information missing. Was there supposed to be a picture attached?

help me please I've been stuck all day​

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It’s September
Cuz the difference between august and September is most

4n + 8 = 20
Which value of n from the solution set 3, 8, 10, 12) will make the equation true?
B
8
© 10​

Answers

Answer:

The answer is 3

Step-by-step explanation:

4 x 3 = 12

8 + 12 = 20

Find the perimeter of this semi-circle with diameter, d = 45cm. Give your answer rounded to 1 DP.

Answers

Answer:

P = 70.6 cm

Step-by-step explanation:

Given that,

The diameter of the semicircle, d = 45 cm

Radius, r = 22.5 cm

We need to find the perimeter of the semicircle. The formula for the perimeter of a semicircle is given by :

[tex]P=\pi r\\\\P=\pi \times 22.5\\\\P=70.6\ cm[/tex]

So, the required perimeter is 70.6 cm.

Type your answer in the box.

r = 3 d = 5

Answers

Answer:  8.5

Step-by-step explanation:

I just took the quiz last week.

1. Which of the following values are greater than 20? Select ALL correct answers.
(3 Points)
81-43
52 +3
2 - 10
32 +42

Answers

Answer:81-43, 52+3, 32+42

Step-by-step explanation:Just do simple addition .

here
i need help with this​

Answers

Answer:

i cant see the whole problem

Step-by-step explanation:

How many 1/2 cup servings are in 2 3/4 cups of ice cream?​

Answers

Answer:

1 1/2 Servings

Step-by-step explanation:

common sense

Answer:5.5

Step-by-step explanation:

1/2*5=2 and 1/2 and 1/2 divided by 2 is 1/4 and 5 1/2+1/4=5 3/4


y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
y
when
x
=
6

Answers

Answer:

y=54+7

Step-by-step explanation:

The following exchange rate is given: £1=1.35 Dollars. Convert £9 into dollars

Answers

Answer:

$12.15

Step-by-step explanation:

A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard deviation of 0.010 L. The machine is then moved to another location. A sample of 10 bottles filled at the new location had a mean fill volume of 2.001 L and a standard deviation of 0.012 L. It is believed that moving the machine may have changed the mean fill volume, but it is unlikely to have changed the standard deviation. Assume that both samples come from approximately normal populations and have equal variance. The 99% confidence interval for the difference between the mean fill volumes at the two locations is approximately

Required:
Find a 99% confidence interval for the difference between the mean fill volumes at the two locations.

Answers

Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, [tex]\bar{x}_{1}[/tex] = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, [tex]\bar{x}_{2}[/tex] = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

[tex]\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex]

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ [tex]t_{\alpha /2}[/tex] = 3.25

Therefore, we have;

[tex]\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}[/tex]

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Want to choose 2 letters ,without replacement, from 5 letters

Answers

what do u mean??????

In the diagram shown , CD =7,DB=8, AE=5,m

Answers

Answer:

.

Step-by-step explanation:

Answer:

I don't understand the question

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature, b or c

Can you solve it please and explain step by step how u got it ?????Please​

Answers

Answer:

m<7 = 61

Step-by-step explanation:

These angles (<7, and <8) are adjacent to each other (they are next to each other), therefore they are supplementary (add up to 180).

180 - 119 = m<7

Can someone please help I really need this to be correct.

Answers

I think it’s 22 or 23...I’m so sorry if it’s wrong :/

How to do 264 in Expanded form

Answers

Answer:

200+60+4

Step-by-step explanation:

200+60+4=264

Write the decimal -0.43 as a fraction in simplest form.
Written as a fraction, the decimal -0.43 is

Answers

-0.43= -43/100 I think this is correct I don’t know if it can be simplified

Solve for a.
−10 = 1/5 a
PLZ HELP I NEED ANSWER ASAP

Answers

Answer:

-50

Step-by-step explanation:

Answer:

a = -50

Step-by-step explanation:

-10 = 1/5a

multiply both sides of the equation by 5:

a = -50

HELP! please explain how to solve the point of maximum growth rate for the logistic function?!?? I'm really confused!

Answers

Answer:

18 units over 210 units of time

Step-by-step explanation:

the function reaches its limit at 116 and starts at 0 at -94

|-94|+|116|=210

Max wants to cover this rectangle with blue tiles I estimate that there would be

Answers

I have no idea. Where is the diagram.

Find the area of each. Use pi = 3.14

Answers

Answer:

452.16 inches

Step-by-step explanation:

A = pi r^2

A = 3.14 * (12)^2

A = 3.14 * 144

A = 452.16 inches

Round to the nearest ten- thousands place
438,105

Answers

Answer:

about 440,000

Step-by-step explanation:

Here 438,105 you can round of the 38,000as 40,000 so will get 440,000.

‼️PLEASE HELP‼️
A
B
C
D

Answers

The answer is A, because you have to use different measures to figure the answer out. Youre welcome!! <3

Brianna went into a bakery and bought 2 cookies and 3 brownies, costing a total of $9.50. Nevaeh went into the same bakery and bought 10 cookies and 6 brownies, costing a total of $20.50. Write a system of equations that could be used to determine the price of each cookie and the price of each brownie. Define the variables that you use to write the system.

Answers

Answer:

Variable x = cost of cookies

Variable y = cost of brownies

System of equations:

2x + 3y = 9.50

10x + 6y = 20.50

Step-by-step explanation:

Variable x: $ cookies

Variable y: $ brownies

2x + 3y = 9.50

10x + 6y = 20.50

I'm not entirely sure how to explain this one, but my best advice is to just take it step by step when doing these problems. Multiple questions can feel overwhelming so just focus on one question at a time.

20 points!!!!! The table represents a linear function

Answers

I believe the answer is 5. I multiplied 5 to -4 and that’s -20 and I’m guessing since slope-intercept form is y=Mx+b I’m thinking b=4 and the slope being 5 matches the output. -16=5(-4)+4

Which of the following are accurate assessments of trends displayed in this graph?
I. Sales of teddy bears decreased by about 2.9% between September and October.
II. The change in sales of rabbits is roughly equal to the change in sales of all toys.
III. Roughly 24.1% fewer horses were sold in October than in September.

a. I and II
b. II only
c. I and III
d. III only

Answers

Answer:

✅ D. III only

got it right on the test⬇️

The correct statement is

Roughly 24.1% fewer horses were sold in October than in September.

What is Data?

Data refers to any information, regardless of how it is presented or represented. A data can be a numeric expression, a piece of text like a name or address, or it can be a number.

We have,

                       September         October      Trend

Teddy bears         346                   308       -10.98%

Rabbits                  297                    260       -12.46%    

Cats                       199                     285        +43.22%

Horses                  245                     186        -24.08%

Others                  225                     275         +22.22%

Total                     1,312                    1,314         +0.15

Now, Sales of teddy bears decreased by about 2.9% between September and October.

That reduced by around 11%, thus it is untrue.

II. The change in sales of rabbits is roughly equal to the change in sales of all toys.

It is untrue because variations in the sales of rabbits do not correspond to variations in the sales of all toys.

III. Roughly 24.1% fewer horses were sold in October than in September.

Yes, this is correct.

Learn more about Data here:

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