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2 years ago

What is a relative frequency?

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

4 0

Answer:

"A relative frequency distribution is a table that shows the relative frequency for all categories as shown below. Notice that the sum of the relative frequencies is always equal to 1. The percentage of a category is found by multiplying the relative frequency of that category by 100."

Credits To: statistics-made-easy.com › what-is-relative-frequency

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Round 4.0987 to the nearest 1/10

Gnom [1K]

4.0987 rounded to the nearest tenth.

4.0987
^ This is the tenths place

Look at the number after it, if it's 5 or more, round up, if it's 4 or less, round down.

<span>It's 9, so we round up to 4.1</span>

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2 years ago

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AnnZ [28]

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Goryan [66]

There are 8 points between 1 and 0 so divide 1 by 8.

1 / 8 = 0.125

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3 years ago

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Solve by unfolding: a0=2, and, n>=1, a_n=7a_n-1.

vodomira [7]

We are told that the first term is 2. The next term is 7(2) = 14; the third term is 7(14) = 98. And so on. So, the first term and the common ratio (7) are known.

The nth term of this geometric series is a_n = 2(7)^(n-1).

Check: What is the first term? We expect it is 2. 2(7)^(1-1) = 2(1) = 2. Correct.

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2 years ago

A certain prescription drug diminishes in the system at a rate of 25% per hour. If a person was administered 1450mg of the drug,

Helen [10]

9514 1404 393

Answer:

459 mg
about 20 hours

Step-by-step explanation:

The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...

r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours

a) After 4 hours, the amount remaining is ...

r(4) = 1450·0.75^4 ≈ 458.79 . . . mg

About 459 mg will remain after 4 hours.

b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...

r(t) < 5

1450·0.75^t < 5 . . . . use the function definition

0.75^t < 5/1450 . . . . divide by 1450

t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)

t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t

t > 19.708

It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.

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2 years ago