Which relation is a function?

App 19.study

lions [1.4K]

Answer:

$1 \to 22 \to 0.176$

$2 \to 13 \to 0.104$

$3 \to 18 \to 0.144$

$4 \to 29 \to 0.232$

$5 \to 37 \to 0.296$

$6 \to 6 \to 0.048$

Step-by-step explanation:

Given

$n = 125$

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

$Pr = \frac{Frequency}{n}$

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

$Pr(2) = \frac{13}{125} = 0.104$

$Pr(4) = \frac{29}{125} = 0.232$

$Pr(6) = \frac{6}{125} = 0.048$

When the frequency is to be calculated, we use:

$Pr = \frac{Frequency}{n}$

$Frequency = n * Pr$

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

$Frequency(3) = 125 * 0.144 = 18$

$Frequency(5) = 125 * 0.296 = 37$

For roll of 1 where the frequency and the probability are not known, we use:

$Total \ Frequency = 125$

So:

Frequency(1) added to others must equal 125

This gives:

$Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125$

$Frequency(1) + 103 = 125$

Collect like terms

$Frequency(1) =- 103 + 125$

$Frequency(1) =22$

The probability is then calculated as:

$Pr(1) = \frac{22}{125}$

$Pr(1) = 0.176$

So, the complete table is:

$1 \to 22 \to 0.176$

$2 \to 13 \to 0.104$

$3 \to 18 \to 0.144$

$4 \to 29 \to 0.232$

$5 \to 37 \to 0.296$

$6 \to 6 \to 0.048$

5 0

3 years ago

ABCD is a parallelogram and DAB =115 degrees

never [62]

What are you trying to find with this?

4 0

3 years ago

A bag of 8 baseballs and 2 basketballs weighed 80 ounces. A bag of 5 baseballs and 3 basketballs weighed 85 ounces. How much doe

Ivanshal [37]

Answer:

baseball: 5 ounces
basketball: 20 ounces

Step-by-step explanation:

Let "e" represent the weight of a baseball, and "k" represent the weight of a basketball, all weights being in ounces. Then the given information can be summarized as ...

8e +2k = 80

5e +3k = 85

We can divide the first equation by 2 and subtract 4e to get ...

k = 40 -4e

This can be substituted into the second equation to give ...

5e +3(40 -4e) = 85

-7e +120 = 85 . . . . . . . simplify

35 = 7e . . . . . . . . . . . . add 7e-85

5 = e . . . . . . . . . . . . . . divide by 7

k = 40 -4·5 = 20 . . . . . find k using the above equation

The weight of a baseball is 5 ounces; a basketball, 20 ounces.

4 0

3 years ago

How much tax will i pay on a $54.99 video game? (6% tax rate)

Mnenie [13.5K]

Answer:

3.299 or 3.3

Step-by-step explanation:

54.99(.06)=3.2994

4 0

3 years ago

Help me please find the surface area:

gtnhenbr [62]

Step-by-step explanation:

this consists of 5 sides

top and bottom (equal)

left

right

front

the total surface area is the sum of all 5 areas.

the area of a rectangle is

length × width

the area of a triangle is

baseline × height / 2

in our case we have

top and bottom : 10×4/2 × 2 = 10×4 = 40 cm²

left : 8×9 = 72 cm²

right : 5×9 = 45 cm²

front : 10×9 = 90 cm²

the total surface area is

40 + 72 + 45 + 90 = 247 cm²

7 0

2 years ago