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3 years ago

The quotient of five times a number and 7 is no more than 10

Mathematics

2 answers:

Akimi4 [234]3 years ago

3 0

The sentence in numerical form is 5x/7≤10
to solve, multiply by 7
5x≤70
lastly, divide by 5
x≤14

KIM [24]3 years ago

3 0

14 is the answer okkkkkkkkkkkkkkkkkkkk

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Of the Students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of th

soldier1979 [14.2K]

Answer:

$\frac{9}{20}$ students.

Step-by-step explanation:

We have been given that of the students that attended Roosevelt Elementary 6/8 of the school play a sport. Of the students are playing a sport 3/5 of the students are also involved in the drama club.

To find the students are both play a sport and a part of the drama club, we need to find 3/5 part of 6/8 as:

$\text{Students who play a sport and a part of the drama club}=\frac{6}{8}\times \frac{3}{5}$

$\text{Students who play a sport and a part of the drama club}=\frac{3}{4}\times \frac{3}{5}$

$\text{Students who play a sport and a part of the drama club}=\frac{3\times 3}{4\times 5}$

$\text{Students who play a sport and a part of the drama club}=\frac{9}{20}$

Therefore, $\frac{9}{20}$ students play sport and part of the drama club.

5 0

3 years ago

U 1995, 70% of all children in the U.S. were living with both parents. If 25 children were selected at random in the U.S., what

nikdorinn [45]

<u>Answer:</u>

The probability that at most 10 of them will be living with both of their parents is 0.0018

<u>Solution:</u>

Given, US 1995, 70% of all children in the U.S. were living with both parents. 25 children were selected at random in the U.S.,

We have to find what is the probability that at most 10 of them will be living with both of their parents?

Now, number of children picked (n) = 25.

Probability to be with parents = 70% = 0.7.

Our condition is 0 ≤ x ≤ 10.

Then, we have to calculate p(0 ≤ x ≤ 10).

We can calculate using binomial cumulative distribution frequency- binomial CDF

Now, p(0 ≤ x ≤ 10) = binomcdf(n, p, x) = binomcdf(25, 0.7, 10) = 0.00177840 ≈ 0.0018.

Hence, the probability is 0.0018

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3 years ago

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qaws [65]

Domain: (-∞,∞) or All real numbers

Range: (-∞,∞) or All real numbers

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3 years ago

Can you construct a triangle that has side lengths 2 yd, 9 yd, and 10 yd?

yan [13]

Yes

The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.

This happens for all possible couples in your case:

$2+9=11>10$

$2+10=12>9$

$9+10=19>2$

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allsm [11]

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