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3 years ago

Does the decimal equivalent of p/q, where p and q are positive integers, contain only a finite number of nonzero digits?

1 answer:

4 0

A/B is a reduced fraction which can be represented as a terminating decimal if and only b is of the form 2^n5^n where m and n are non negative integers. For example: 7/250, the terminating decimal here is 0.028 as 250 as the denominator equals to 2*5^2.

According to the above, we must know whether the denominator have only 2-s and or 5-s as the prime factors. So,

Q = 8 = 2 ^3 = hence the denominator has only 2 prime factors. Fraction P/Q will be termed as terminated decimal which is sufficient.

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Noelle has 5/6 of a yard of purple ribbon and 9/10 of a yard of Pink ribbon. How mucho ribbon does se have altogether?

aev [14]

Well you need to find a common denominator which 30 is the closest one. 5/6 becomes 25/30, 9/10 becomes 27/30. 27/30+ 25/30 = 52/30. To simplify that you divide by 2 to get 26/15. It is no longer divisible to a whole number after that point.

8 0

3 years ago

Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution. What is th

Mekhanik [1.2K]

Answer: 0.8413

Step-by-step explanation:

Given : Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution.

Mean : $\mu=47$

Standard deviation : $\sigma= 4$

Let x be the random variable that represents the typing speeds for the students.

The z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 51

$z=\dfrac{51-47}{4}=1$

Using the standard normal distribution table ,the probability that a randomly selected student has a typing speed of less than 51 words per minute :-

$P(x$

Hence, the probability that a randomly selected student has a typing speed of less than 51 words per minute = 0.8413

8 0

3 years ago

Pls explain how to do this will give brainliest to best answer

Delicious77 [7]

Answer:

1st Graph:

Add all the numbers (Do the same to 2nd Graph)

Then add

answer will be shown

5 0

3 years ago

A damsel is in distress and is being

Katen [24]

Answer:

30 feet

Step-by-step explanation:

Let x be the length of the ladder. Then, x cos(60) = 15

If we divide both sides by cos(60), then x = 30 feet.

6 0

3 years ago

Read 2 more answers

Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

3 0

3 years ago