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3 years ago

Is 12/4 equal to 3/12

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

Answer:

No, it is not.

Step-by-step explanation:

The decimal value of 12/4 is 3

The decimal value of 3/12 is 0.25

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3 years ago

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Evaluate x - y - (-z) if x = -3, y = -7, and z = -9

IceJOKER [234]

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3 years ago

How do you get a factor pair?

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4 0

3 years ago

Without further study, you forget things as time passes. A model of human memory gives the percentage, p, of acquired knowledge

PIT_PIT [208]

Answer:

42.69% of information is acquired by the student in two weeks.

Step-by-step explanation:

We are given the following in the question:

$p = (100 -a)e^{-bt} + a$

where a and b are constants.

$a = 18\\b = 0.6$

p tells us about the percentage of acquired knowledge that a person retains after t weeks.

We have to find the percentage of knowledge acquired in two week.

We put t = 2

$p = (100 -18)e^{-(0.6)(2)} + 18\\p = 42.69$

Thus, 42.69% of information is acquired by the student in two weeks.

5 0

3 years ago

The average daily jail population in the United States is 706,242. If the distribution is normal and the standard deviation is 5

Karolina [17]

a. The probability that on a randomly selected day, the jail population

is greater than 750,000 is 20.1%

b. The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Step-by-step explanation:

The given is:

1. The average daily jail population in the United States is 706,242

2. The distribution is normal and the standard deviation is 52,145

3. We need to find the probability that on a randomly selected day,

the jail population is greater than 750,000

4. We need to find the probability that on a randomly selected day,

the jail population is between 600,000 and 700,000

At first find z-score

∵ z = (x - μ)/σ, where x is the score, μ is the mean and σ is the standard

deviation

∵ x = 750,000 , μ = 706,242 and σ = 52,145

∴ z = $\frac{750,000-706,242}{52,145}$ ≅ 0.84

Use the normal distribution table of z to find the area to the right of

the z-value

∵ The corresponding area to z-score of 0.84 is 0.79955

- But we are interested in x > 750,000, we need the area to the

right of z-score

∴ P(x > 750,000) = 1 - 0.79955 = 0.2005

∴ P(x > 750,000) = 0.2005 × 100% = 20.1%

The probability that on a randomly selected day, the jail population is

greater than 750,000 is 20.1%

We will find z-score for 600,000 < x < 700,000

∵ z = $\frac{600,000-706,242}{52,145}$ ≅ -2.04

∵ z = $\frac{700,000-706,242}{52,145}$ ≅ -0.12

Use the normal distribution table of z to find the area between

the two z-values

∵ The corresponding area to z-score of -2.04 is 0.02068

∵ The corresponding area to z-score of -0.12 is 0.45224

- To find P(600,000 < x < 700,000) subtract the two values above

∴ P(600,000 < x < 700,000) = 0.45224 - 0.02068 = 0.4316

∴ P(600,000 < x < 700,000) = 0.4316 × 100% = 43.2%

The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

5 0

3 years ago