MATHEMATICS HIGH SCHOOL

Select all that apply.Jacqueline solved 80% of problems correctly in a math test whereas Marc solved only 65% of the problems correctly.

Let the event J = correct problems solved by Jacqueline,
and the event M = correct problems solved by Marc.
A. P(J) × P(M) = P(J ∩ M)
B. The probability that Jacqueline and Marc both can solve a problem in a math test is 0.93.
C. P(J) × P(M) = P(J ∪ M)
D. J and M are independent events.
E. The probability that Jacqueline and Marc both can solve a problem in a math test is 0.52

Answers

Answer 1

Answer:

Answer:

Option A , D and E holds.

Step-by-step explanation:

Let the event J = correct problems solved by Jacqueline,

and the event M = correct problems solved by Marc.

Jacqueline solved 80% of problems correctly in a math

So, probability of correct problems solved by Jacqueline P(J)=0.80

Marc solved only 65% of the problems correctly.

So, probability of correct problems solved by Marc P(M)=0.65

Probability of correct problems Solved by Marc and Jacqueline :

= $P(J) * P(M)$

= $0.80*0.65$

= $0.52$

So, Option E is correct.

we also know that and means intersection .

So, P(J) × P(M) = P(J ∩ M)

So, Option A is also correct.

Since option A holds .

So, property of independent events is satisfied : $P(A) * P(B)=P(A \cap B)$

Thus Option D also holds.J and M are independent events.

Hence Option A , D and E holds.

Answer 2

Answer: The right answer for the question that is being asked and shown above is that: "E. The probability that Jacqueline and Marc both can solve a problem in a math test is 0.52; B. The probability that Jacqueline and Marc both can solve a problem in a math test is 0.93."

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Betty's bite-size candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint, a sample of bags is checked, and 4 bags contain fewer than 47 candies. How many bags were probably taken as samples?

Answers

47 = 50 - 3 or:
47 = Mean - 1 Standard deviation
For normal distribution it means that 4 bags represent 16 % of all samples.
4 bags ------ 16%
x bags ------ 100 %
---------------------------
4 * 100 = x * 16
16 x = 400
x = 400 : 16
x = 25
Answer: 25 bags were probably taken as samples.

The number of bags that are probably taken as samples is = 25 bags.

What is normal distribution?

A normal distribution usually appears like a bell shape in a graph whereby the mean is centrally placed.

In the normal distribution of candies per bag;

The standard deviation =3

The mean = 50

Therefore candies per bag = 47 - 53

Using the empirical method, the percentage to the right of the line of normal distribution can be calculated as:

50 + 64/2 = 84%.

That means that 100 - 84 = 16% of the data is below 4.

If 16% = 4

100% =X

Make X the subject of formula,

X = 100× 4/16

X = 400/16

X= 25 bags.

Therefore, the number of bags that are probably taken as samples is = 25 bags.

Learn more about normal distribution here:

brainly.com/question/4079902

#SPJ5

Jane Marko buys a car for 43900.00. In three years. the car depreciates 48% in value. How much is the car worth in three years

Answers

I think this would be 91458.3 . I am not completely sure... Hopefully a math expert around here can help you. That is my guess. ;)

What is the product of 32/3 and 142/5

Answers

remember that
$(x)/(y)$ times $(z)/(t)$ = $(x times z)/(y times t)$
so we have
$(32)/(3)$ times $(142)/(5)$
that equals
$(32 times 142)/(3 times 5)$ = $(4544)/(15)$ =302 and 14/15

$(32)/(3) * (142)/(5) =(32*142)/(3*5)=(4544)/(15)=\boxed{\bf{302(14)/(15)=302.933333}}$