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nirvana33 [79]
2 years ago
6

Given that events A and B are independent with P(A)=0.3P(A)=0.3 and P(A\cap B)=0.27P(A∩B)=0.27, determine the value of P(B)P(B),

rounding to the nearest thousandth, if necessary.
Mathematics
1 answer:
Stolb23 [73]2 years ago
6 0

Answer:

0.9

Step-by-step explanation:

Since A and B are independent  hence;

P(A∩B) = P(A)P(B)

Given the following

P(A∩B) = 0.27

P(A) = 0.3

Required

P(B)

Substitute into the formula;

P(B) = P(A∩B)/P(A)

P(B) = 0.27/0.3

P(B) = 0.9

Hence the value of P(B) is 0.9

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$15 - 60% = $6.00

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3 years ago
Find p if 4P = 0.25<br>​
Andrej [43]

Answer:

p= 0.0625

Step-by-step explanation:

p=0.25/4

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2 years ago
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Jaleesa bought a movie online. She paid $19.00 plus tax. The sales tax was 9%. How much did she pay in sales tax?
boyakko [2]

Answer: she paid $1.71 in sales tax.  

Step-by-step explanation:

Find 9 percent of 19 to find the sale tax.

9% of 19 =

0.09 * 19 =  1.71  

This means she paid $1.71 in sales tax.

7 0
3 years ago
Fernando needs a total of 6
Fantom [35]

Answer:

Equation: 6f = 5

Result: 6/5 cup of flour is needed for each batch of bread

Step-by-step explanation:

Given

6 cups of flour makes 5 batches of bread

Required

His much flour is needed for each batch.

Let f represent a cup of flour.

The statement "total of 6 cups of flour to make 5 batches of bread." means that

f + f + f + f + f + f = 5 batches of bread

f * 6 = 5

6f = 5

The above equation will give the number of cup needed for 1 batch of bread.

To do that, we simply divide both sides by 5

6f/5 = 5/5

6f/5 = 1

Hence,

The equation is represented by: 6f = 5

And the result is: 6/5 cup of flour is needed for each batch of bread

3 0
3 years ago
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SAVE ME. Please Answer my Questions Clevers.
Vladimir [108]

Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

Counting numbers are Natural numbers: \mathbb{N}

Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as \mathbb{Z}_{\ge 0}

<u>Whole numbers less than or equal to 20</u>: A\leq 20, A \subset \mathbb{Z}_{\ge 0}  \\\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}

<u>A. Prime numbers</u>

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

$P=\frac{8}{21} \approx 40\%$

<u>B. Composite numbers</u>

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

$P=\frac{11}{21} \approx 52\%$

<u>C. Divisible by three</u>

From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

$P=\frac{6}{21} \approx 30\%$

<u>D. Square of 2</u>

From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.

\sqrt{0} =0

\sqrt{1} =1

\sqrt{4} =2

\sqrt{9} =3

\sqrt{16} =4

Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

$P=\frac{5}{21} \approx 24\%$

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

2x+3x=180 \implies 5x=180 \implies x=36

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of  9x-4<13x-7 (domain, x e z) ?

x \in \mathbb{Z}\\

$x>\frac{3}{4} $

$x\in \left(\frac{3}{4},\infty \right)$

Q4. if three fourth of a number is one tenths, what is the number?

$\frac{3}{4} x =\frac{1}{10} \implies 3x=\frac{4}{10}  \implies \boxed{x = \frac{2}{15}} $

Q5. which one is the equation of the line passing through the origin and having a slope 4?

y=mx+b

m: \text{slope}

b: \text{y-intercept}

B. Y= 4x

7 0
3 years ago
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