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.

Learn more about independent variables;

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

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the answer is Motivational

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Motivational

Step-by-step explanation:

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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

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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.

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

Answers

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

How to do 264 in Expanded form

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Answer:

200+60+4

Step-by-step explanation:

200+60+4=264

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

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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Type your answer in the box.

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Step-by-step explanation:

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

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

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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

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Step-by-step explanation:

Answer:

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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:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

452.16 inches

Step-by-step explanation:

A = pi r^2

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here
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Answer:

i cant see the whole problem

Step-by-step explanation:


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:

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.

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Step-by-step explanation:

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Write the decimal -0.43 as a fraction in simplest form.
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Answers

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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

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