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2 years ago

Is 15 a repeating decimal

Mathematics

1 answer:

Paul [167]2 years ago

8 0

Answer: YES!

Step-by-step explanation:

The greatest common factor (GCF) of 1 and 15 is 1. Convert 1/15 to its simplest form by dividing the numerator and denominator by its GCF

The prime factors of 15 are all the prime numbers that you multiply together to get 15. The prime factors of 15 are:

3 x 5

A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is the case here, which means that our answer is as follows:

1/15

= repeating

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Mark's age, x , is 6 times his age 2 years ago. which equation represents the statement?

AlekseyPX

Answer:

x = 6(x - 2)

Step-by-step explanation:

His age now is x.

His age 2 years ago was x - 2.

x = 6(x - 2)

5 0

2 years ago

The two-way table shows the distribution of gender to favorite film genre for the senior class at Mt. Rose High School.

Studentka2010 [4]

Answer:

The second statement is correct

Step-by-step explanation:

Hello!

The table shows the information of the favorite film genre of the students of the class regarding their gender.

You have to prove which statement is correct:

1)The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.

If you chose a student at random, you need to calculate the probability of its favorite genre being "Drama" (D) and the student being female (F), symbolically: P(D∩F)

To do so you have to divide the number of observed students that are female and like drama by the total number of students:

P(D∩F)= $\frac{24}{240}= \frac{1}{10} =0.10$

This means that the probability of choosing a student at random and it being a female that likes drama is 10%.

This statement is incorrect.

2) Event F for female and event D for drama are independent events.

Two events are independent when the occurrence of one of them doesn't affect the probability of occurrence of the other one.

So if F and D are independent then:

P(F)= P(F|D)

-or-

P(D)=P(D|F)

The probability of the event "Female" is equal to $P(F)= \frac{Total females in the class}{n} = \frac{144}{240} = \frac{3}{5}= 0.6$

The probability of the event "Drama" is:

$P(D)= \frac{Total students that like "Drama"}{n}= \frac{40}{240}= \frac{1}{6}= 0.166$

$P(F|D)= \frac{P(FnD)}{P(D)}= \frac{\frac{1}{10} }{\frac{1}{6} }= \frac{3}{5} = 0.6$

As you can see P(F)= 0.6 and P(F|D)= 0.6 so both events are independent.

This statement is correct.

3) The probability of randomly selecting a male student, given that his favorite genre is horror, is 16/40

This is a conditional probability, you already know that the student likes horror movies (H), and out of that group you want to know the probability of the student being male (M):

$P(M|H)= \frac{number of male students that like horror movies}{total students that like horror movies}= \frac{16}{38}= \frac{8}{19} = 0.42$

This statement is incorrect.

4) Event M for male and event A for action are independent events.

Same as the second statement, if the events "Male" and "Action" are independent then:

P(M)= P(M|A)

-or-

P(A)= P(A|M)

$P(M)= \frac{96}{240}= \frac{2}{5}= 0.4$

$P(A)= \frac{72}{240} =\frac{3}{10}= 0.3$

$P(AnM)= \frac{28}{240}= \frac{7}{60}= 0.11666$

$P(M|A)= \frac{P(MnA)}{P(A)}= \frac{\frac{7}{60} }{\frac{3}{10} } = \frac{7}{18}= 0.3888$

$P(M)= \frac{2}{5}$ and $P(M|A)= \frac{7}{18}$

P(M)≠ P(M|A) the events are not independent.

This statement is incorrect.

I hope this helps!

6 0

3 years ago

patterns A and B are generated using these rules pattern a start with 12 and add six pattern be start with 4 and add 2

JulsSmile [24]

5 after five turns of patti

8 0

3 years ago

Who else is bored? Only answer if your cool though I don't need no "Whats your question?"

Jlenok [28]

Answer:

I was wondering if you could give me brainliest because I am almost to level ace! It would mean alot!

Step-by-step explanation:

Have a good day! :)

6 0

3 years ago

Read 2 more answers

The sum of two numbers is 70. The difference of the two numbers is 40. Enter and solve a

bezimeni [28]

Sum of two numbers = 70
Difference between two numbers = 40
Greater number = x = y+40
Smaller number = y
Y + Y + 40 = 70
2Y = 70 - 40
Y = 30/2
Y = 15
X = Y + 40
= 15 + 40
= 55

4 0

3 years ago