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3 years ago

A school holds classes from 8:00 a.m -2:00 p.m. For what percent of a 24- hour day does this school hold classes?

Mathematics

2 answers:

OleMash [197]3 years ago

8 0

8:00 a.m - 2:00 p.m. is 6 hours.

6/24 * 100 %= 1/4 * 100% = 25%

A school hold classes for 25% of the day.

kati45 [8]3 years ago

3 0

8:00 a.m all the way until 2:00 p.m.

8:00 a.m. to 12:00 p.m is 4 hours.
12:00 p.m. to 2:00 p.m is 2 hours

8:00 a.m. to 2:00 p.m. is 6 hours.

6 hours out of a 24 hour day.

$\frac{6}{24} =\frac{x}{100}\\\\\frac{1}{4} =\frac{x}{100}\\\\\sf{Cross~multiplying}\\\\100 = 4x\\\\\sf{Divide~4~on~both~sides$

$\boxed{\bf{x =25}}$

The school holds classes for 25% of the 24-hour day.

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Which of these situations can be represented with an integer that, when combined with the

Paul [167]

Answer:

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3 years ago

the sum of two numbers is 60. The second number is 5 times as much as the first number. What is the first number.

Oksanka [162]

Answer:

x = 10

The second number is 50

Step-by-step explanation:

Givens

The first number = x

The second number = 5x

Together when added the answer is 60

Equation

x + 5x = 60 Combine like terms

Solution

6x = 60 Divide by 6

6x/6 = 60/6

x = 10

5 0

3 years ago

Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide

Nady [450]

Using the binomial distribution, it is found that there is a 0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.

For each customer, there are only two possible outcomes, either they order their food to go, or they do not. The orders of each customer are independent of other customers, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

52% of its customers order their food to go, hence $p = 0.52$ .

Random sample of 5 customers, hence $n = 5$ .

The probability that exactly 4 order their food to go is P(X = 4), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{5,4}.(0.52)^{4}.(0.48)^{1} = 0.1755$

0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

5 0

2 years ago

What are the domain and range of f(x) = 2(3X)?

erik [133]

<h3>Answer: Choice A</h3>

Domain: $(-\infty,\infty)$

Range: $(0,\infty)$

==============================================================

Explanation:

I'm assuming the function is $f(x) = 2(3)^x$ which is an exponential function.

The domain of any exponential function is the set of real numbers. In interval notation, the domain is $(-\infty, \infty)$ which says we can pick any number between negative infinity and positive infinity: aka any number we want. There are no restrictions to worry about such as division by zero errors.

The range of this exponential function is the set of y values such that y > 0. It often helps to see the graph of what is going on (see below). Note how as x heads to the left, and gets more negative, the curve approaches the x axis. It never actually touches it however. So it will never reach y = 0 itself but instead just get very close. The inequality y > 0 translates to the interval notation $(0,\infty)$

----------

Summary:

Domain: $(-\infty,\infty)$ ; Range: $(0,\infty)$

So that's why the answer is choice A

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3 years ago

Order the numbers from least to greatest -2.25, 2.05, 21 / 10

rosijanka [135]

Answer:

-2.25, 2.05, 21/10

Step-by-step explanation:

hope this helps if wrong plz tell me if right plz consider giving brainliest

7 0

3 years ago