MATHEMATICS HIGH SCHOOL

Suppose Q and R are independent events. Find P(Q and R) if P(Q) = 0.63 and P(R) = 0.48.0.0945

0.3024

0.15

1.11

Answers

Answer 1
Answer:

Answer:

Option B is correct

0.3024

Step-by-step explanation:

Definition:

If event A and B are independent, then;

P(A \cap B) = P(A) \cdot P(B)

Given that:

Suppose Q and R are independent events.

We have to find P(Q \cap R)

It is given that:

P(Q) = 0.63 and P(R) = 0.48

then by definition we have;

P(Q \cap R) = P(Q) \cdot P(R)

Substitute the given values we have;

P(Q \cap R) =0.63 \cdot 0.48

Simplify:

P(Q \cap R) =0.3024

Therefore, the value of P(Q \cap R) is 0.3024
Answer 2
Answer: Hello,

Q and R are independent if p(Q and R)=p(Q)*p(R)
Here p(Q and R)=0.63-0.48=0.3024
ANSWER B

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22. The sampling distribution of refers to: (a) the distribution of the various sample sizes which might be used in a given study (b) the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence (c) the distribution of the values of the items in the population (d) the distribution of the values of the items actually selected in a given sample (e) none of the above

Answers

Answer:

Option b

Step-by-step explanation:

As per central limit theorem, we know that if we draw a number of samples randomly from the population the sample mean for all the mean of samples will follow a normal distribution provided large samples are drawn.

The distribution which the sample mean follows is called the sampling distribution.

The distribution of various sample sizes will not follow any distribution. Hence I option wrong.  

Distribution of values in the population are parameters and they do not follow any distribution.  Option d , the values of the items selected will not follow any distribution

Only correct option is

(b) the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence

Which of the following is not the same as 0.953 kilograms? 953,000mg 953g 9,530cg

Answers

10 mg = 1 cg 100 cg = 1 g 1000 g = 1 kg. Thus, 0.953 kg = 1000 x 0.953 = 953g 0.953 kg = 0.953 x 1000 x 100 = 95,300cg 0.953 kg = 0.953 x 1000 x 100 x 10 = 953,000 mg Therefore, from the give options, 9,530cg is not the same as 0.953 kilograms. Therefore, the correct answer to the question "Which of the following is not the same as 0.953 kilograms?"is 9,530cg

Answer:

9530 cg

Step-by-step explanation:

What is the simplified expression for the expression below?- 1/5(5х+20) -1/4 (4x– 28)
оооо
О-2х + 3
о-2x – 3
0 -2х – 8
0 -2х + 8

Answers

Answer:

A

Step-by-step explanation:

- 1/5 of 5x is  -1 or just -x and -1/5 of 20 is -4. Then the other one is-1/4 of 4 is -x and -1/4 of -28 is 7. Now combine like terms so -x + -x is -2x and 7+ -4 or 7-4 is 3

Angles geometry help me out please

Answers

Answer:

Angle name for 1&2 is Adjacent

A = v/t. Solve for t

Answers

   A = v/t     Multiply both sides by t
A(t) = v       Divide both sides by A
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For the graph shown, select the statement that best represents the given system of equations.Number graph ranging from negative five to five on the x axis and negative six to four on the y axis. A line with a negative slope is drawn on the graph.
6x + 4y = 2
3x + 2y = 1

A.
not enough information

B.
coincident

C.
consistent and independent

D.
inconsistent

Answers

Answer:

B. coincident

Step-by-step explanation:

An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.

So, given equations are:

6x + 4y = 2 and 3x + 2y = 1

Observe that if we divide the first by 2, we have

(6x + 4y)/(2)=(2)/(2)\n(6x)/(2)+(4y)/(2)=1\n  3x+2y=1

As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.

After analyzing the data provided in this question one can conclude that they are coincident. For the first system equation we have: 6x + 4y = 2. If we divide everything by 2 we will get: 3x + 2y = 1. Coincident means the same line.


The answer is choice B). Coincident.

I hope it helps, Regards.
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