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AlekseyPX
3 years ago
7

This Venn diagram shows sports played by 10 students.

Mathematics
1 answer:
seropon [69]3 years ago
5 0

Answer: Option A

P(A|B)=\frac{3}{5}=0.6

Step-by-step explanation:

By Definition the probability of A given B is:

P(A|B)=\frac{P(A\ and\ B)}{P(B)}=\frac{A\ and\ B}{B}

Note that the number of students playing basketball is 6

The number of students playing soccer is 5

The number of students who play both sports is 3

Therefore we have that:

P(A|B)=\frac{3}{5}=0.6

The answer is the option A

You might be interested in
Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putt
Contact [7]

Answer:

120

Step-by-step explanation:

Blue marbles = 2

Red marbles = 3

Total marbles = 2 + 3 = 5

If a marble is drawn 300 times ;prediction for the number of times a blue marble will be drawn :

P(drawing a blue marble) = number of blue marbles / total number of marbles

= 2 /5 = 0.4

Predicted number of times blue is drawn in 300 selections :

300 * 0.4 = 120

Approximately 120 times

3 0
3 years ago
The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard d
Ad libitum [116K]

Answer: a. 0.14085

b. 3.826 x 10^{-3}

c.  0.5437

d. 0.0811  

Step-by-step explanation:

Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 , \mu = $527

Given standard deviation , \sigma = $160

Let X = amount spent on a randomly selected child

Also Z = \frac{X-\mu}{\sigma}

a. Probability(X>$700) = P(\frac{X-\mu}{\sigma} > \frac{700-527}{160}) = P(Z>1.08125) = 0.14085 {Using Z % table}

b. P(X<100) = P( Z < \frac{100-527}{160}) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x 10^{-3}

c. P(450<X<700) = P(X<700) - P(X<=450)

   P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592

   P(X<=450) = P(Z<= \frac{450-527}{160}) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155

   So final   P(450<X<700) =  0.8592 - 0.3155 = 0.5437

d. P(X<=300) = P(Z<= \frac{300-527}{160}) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811                                                                        

All the above probabilities are calculated using Z % table along with interpolation between two values.

7 0
3 years ago
Help me please will give points
ehidna [41]
Answer: 675

m represents the time she has been paying. And B represents how much she owed.
So to find how much she owed at the beginning, when no time had passed, we need to set m equal to zero.

When m is zero, the equation is
B = -100(0) + 675
B= 675

So 675 is how much she owed at the beginning of the year.
7 0
3 years ago
Whats the answer to 5-y=10
zubka84 [21]
5-y=10 , 10-5=y, so y=5
6 0
3 years ago
Need help!!!! asap. ​
frez [133]

Answer:

D

Step-by-step explanation:

Annoying to type out, take my word for it

7 0
3 years ago
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