How to solve 50 is 40% of what number

150 students in a tenth grade high school class take a survey about which video game consoles they own 60 students answer that o

Archy [21]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

150 students in a tenth grade high school class take a survey about which video game consoles they own. 60 students answer that one of their consoles is a Playstation, 50 answer that one of their consoles is an Xbox. Out of these, there are 20 who have both systems.

Let A be the event that a randomly selected student in the class has a Playstation and B be the event that the student has an XBOX. Based on this information, answer the following questions.

a) What is P(A), the probability that a randomly selected student has a Playstation?

b) What is P(B), the probability that a randomly selected student has an XBOX?

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he or she has an XBOX?

Answer:

a) P(A) = 2/5

b) P(B) = 1/3

c) P(A and B) = 2/15

d) P(A | B) = 2/5

Step-by-step explanation:

Total no. of students = 150

No. of students having playstation = 60

No. of students having xbox = 50

No. of students who have both playstation and xbox = 20

a) What is P(A), the probability that a randomly selected student has a Playstation?

P(A) = No. of students having playstation/Total no. of students

P(A) = 60/150

P(A) = 2/5

b) What is P(B), the probability that a randomly selected student has an XBOX?

P(B) = No. of students having xbox/Total no. of students

P(B) = 50/150

P(B) = 1/3

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

The probability that a students has a Playstation and an Xbox is given by

P(A and B) = P(A)*P(B)

P(A and B) = (2/5)*(1/3)

P(A and B) = 2/15

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he or she has an XBOX?

The conditional probability is given by

P(A | B) = P(A and B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

Alternatively:

P(A | B) = P(A∩B)/P(B)

Where P(A∩B) is given by

P(A∩B) = No. of students who have both playstation and xbox/Total no. of students

P(A∩B) = 20/150

P(A∩B) = 2/15

P(A | B) = P(A∩B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

6 0

3 years ago

44 markers cost $7.04 Which equation would help determine the cost of 7 markers?

Montano1993 [528]

Answer:

(7.04/44)*7

7*(7.04/44)

Step-by-step explanation:

you have to find the cost of each individual marker:

$7.04/44= .16 (Checked it on a calculator)

then you multiply .16 by 7 because each marker costs 16 cence and you need to find the total cost of 7 markers so your equation should look like:

#1 way to write it: (7.04/44)*7

#2 way to write it: 7*(7.04/44)

6 0

3 years ago

Read 2 more answers

Four pounds of flour cost $2.60 how much flour do you get per dollar? round your answer to the nearest hundredth, if necessary.

gogolik [260]

Since 4 pounds of flour costs $2.60, we have that:

$\begin{gathered} 4\text{pounds}\to2.60 \\ x\to1 \end{gathered}$

Where x is the amount of flour you get for 1 dollar.

We can rewrite the expression above as follows:

$\begin{gathered} \frac{4\text{pounds}}{2.60}=\frac{x\text{ pounds}}{1} \\ \Rightarrow x\text{ pounds}=\frac{4pounds}{2.6}=1.53846\ldots \\ \Rightarrow x\approx1.54 \end{gathered}$

Then, we get 1.54 pounds of flour per dollar

7 0

1 year ago

What is 990687 rounded off to the nearest thousands?

vodomira [7]

Hello :D

To work this out we need to look at the thousands column. After you find the thousands column, you look at the column on the right side of it. If that number is higher than 5, you round it up. If it is 4 or lower, then you round it down.

990687

Thousands = 0687

It has a 6 next to it you round it up. So the answer would be 991000. I hope this helps

8 0

3 years ago

The value of the square root of -4 is not -2 because?

Anarel [89]

A) (-2)² ≠ -4 is your answer

Explanation:

(-2)² = (-2)(-2)

(-2) x (-2) = 4

∴ A) (-2)² ≠ -4

hope this helps

7 0

3 years ago