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3 years ago

Is the following relation a function? (1,4),(-1,-2),(3,10),(5,16)

Mathematics

1 answer:

algol [13]3 years ago

7 0

This relation is a function. None of the x-values repeat. Each y-value belongs to a specific x-value.

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4)In order to set rates, an insurance company is trying to estimate the number of sick daysthat full time workers at an auto rep

bagirrra123 [75]

Answer:

A sample of 18 is required.

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:

$\alpha = \frac{1 - 0.92}{2} = 0.04$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.04 = 0.96$ , so Z = 1.88.

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.

A previous study indicated that the standard deviation was 2.2 days.

This means that $\sigma = 2.2$

How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?

This is n for which M = 1. So

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

$1 = 1.88\frac{2.2}{\sqrt{n}}$

$\sqrt{n} = 1.88*2.2$

$(\sqrt{n})^2 = (1.88*2.2)^2$

$n = 17.1$

Rounding up:

A sample of 18 is required.

3 0

3 years ago

Cary is 4 years older than Dan. In 7 years the sum of their ages will be 76

bekas [8.4K]

Ages of Dan and Cary are 29 and 33 respectively.

<u>Step-by-step explanation:</u>

Step 1:

Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.

In 7 years, sum of their ages = 76

⇒ (x + 7) + (x + 4 + 7) = 76

⇒ 2x + 18 = 76

⇒ 2x = 58

⇒ x = 29

Step 2:

Calculate age of Cary.

⇒ x + 4 = 33

3 0

3 years ago

Which expression is equivalent to

Nutka1998 [239]

Answer:1/5

if u do the work in ur head by adding and divide then multiplying the fractions and then divided it by 2.231 u get 1/5 on a calculator

8 0

2 years ago

You have 23 1/2 pounds of blueberries to store in freezer bags. Each bag holds 3 3/4 pounds of blueberries. What is the minimum

monitta

Answer:

The minimum number of freezer bags needed to store all the blueberries is 7

Step-by-step explanation:

we know that

To find out the number of freezer bags needed , divide the total pounds of blueberries by 3 3/4, but first convert mixed number to an improper fraction

$23\frac{1}{2}\ lb=\frac{23*2+1}{2}=\frac{47}{2}\ lb$