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3 years ago

What is the gcf of 16,100

Mathematics

1 answer:

Kisachek [45]3 years ago

3 0

The Greatest Common Factor of 16, 100 is 4.

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The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Rece

nlexa [21]

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that $\sigma = 10$

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$1 = 1.96\frac{10}{\sqrt{n}}$

$\sqrt{n} = 1.96*10$

$(\sqrt{n})^2 = (1.96*10)^2$

$n = 384.16$

Rounding up:

A sample size of 385 is needed.

7 0

3 years ago

(0,2), (3,3), (8,7), (2,2), (3,9)<br>Domain :<br>Range:

Nezavi [6.7K]

Answer:

Domain: ( 0, 3, 8, 2 )

Range : (2, 3, 7, 9)

Step-by-step explanation:

5 0

3 years ago

4 ones 16 hundredths in a fraction form and Decimal Form

IRISSAK [1]

Answer:

a) 416/100 = 4.16

b) 46/10 = 4.6

c) 406/100 = 4.06

Step-by-step explanation:

a) 4 + 16/100 = 4(100/100) +16/100 = (400 +16)/100 = 416/100 = 104/25

4 + 16/100 = 4 +0.16 = 4.16

b) 4 + 6/10 = 4(10/10) +6/10 = (40 +6)/10 = 46/10 = 23/5

4 +6/10 = 4 +0.6 = 4.6

c) 4 +6/100 = 4(100/100) +6/100 = (400 +6)/100 = 406/100 = 203/50

4 +6/100 = 4 +0.06 = 4.06

_____

<em>Comment on place value</em>

Since you're familiar with the decimal place-value number system, you know that digits in the ones place are multiplied by 1; digits in the tenths place are multiplied by 1/10 or 0.1; and digits in the hundredths place are multiplied by 1/100 or 0.01. These same multipliers can be represented as powers of 10: 10^0, 10^-1, 10^-2, respectively.

6 0

3 years ago

Let f (x) = √x, and let g(x) = f (x) + 5. What is the y-intercept of the graph of g(x)?

dlinn [17]

The y intercept of g(x) is equal to 5