Is this relation a function by using straight line test

Mathematics

1 answer:

Drupady [299]3 years ago

6 0

Answer:

Step-by-step explanation:

Graph all points. They do not make a line.

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A father's age is thrice the sum of the ages of his two children. After five years, his age will be

jenyasd209 [6]

Answer: 45 years old

Step-by-step explanation:

<u>Given:</u>

- Father's age is thrice the sum of ages of his two children

- After five years, his age will be twice the sum of their ages

Let x be the two children's current age and 3x be the father's current age

<u>Solve:</u>

Set equation

3x + 5 = 2 ( x + 10 )

Expand parenthesis

3x + 5 = 2x + 20

Subtract 5 on both sides

3x + 5 - 5 = 2x + 20 - 5

3x = 2x + 15

Subtract 2x on both sides

3x - 2x = 15

x = 15

15 × 3 = 45 years old

Hope this helps!! :)

Please let me know if you have any questions

4 0

2 years ago

Three even numbers sum up to 162. the smallest is half the largest and the middle number is 3/4 the largest. what are the three

Scrat [10]

Lets name the largest number as x
smallest number is half the largest , therefore its x/2 = 0.5x
then middle number is 3/4 the largest , therefore its 3/4x = 0.75x
the sum of the three numbers are 162
the three numbers added are
x + 0.5x + 0.75x = 162
2.25 x = 162
x = 72
the largest number is 72
then middle number 0.75 x = 0.75 x 72 = 54
smallest number is 0.5x = 0.5 x 72 = 36
answer is - 36,54,72

3 0

3 years ago

The author drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 199 times. Here are the observed

Anton [14]

Answer with explanation:

An Unbiased Dice is Rolled 199 times.

Frequency of outcomes 1,2,3,4,5,6 are=28, 29, 47, 40, 22, 33.

Probability of an Event

$=\frac{\text{Total favorable Outcome}}{\text{Total Possible Outcome}}\\\\P(1)=\frac{28}{199}\\\\P(2)=\frac{29}{199}\\\\P(3)=\frac{47}{199}\\\\P(4)=\frac{40}{199}\\\\P(5)=\frac{22}{199}\\\\P(6)=\frac{33}{199}\\\\\text{Dice is fair}\\\\P(1,2,3,4,5,6}=\frac{33}{199}$

→→→To check whether the result are significant or not , we will calculate standard error(e) and then z value

$(e_{1})^2=(P_{1})^2+(P'_{1})^2\\\\(e_{1})^2=[\frac{28}{199}]^2+[\frac{33}{199}]^2\\\\(e_{1})^2=\frac{1873}{39601}\\\\(e_{1})^2=0.0472967\\\\e_{1}=0.217478\\\\z_{1}=\frac{P'_{1}-P_{1}}{e_{1}}\\\\z_{1}=\frac{\frac{33}{199}-\frac{28}{199}}{0.217478}\\\\z_{1}=\frac{5}{43.27}\\\\z_{1}=0.12$

→→If the value of z is between 2 and 3 , then the result will be significant at 5% level of Significance.Here value of z is very less, so the result is not significant.

$(e_{2})^2=(P_{2})^2+(P'_{2})^2\\\\(e_{2})^2=[\frac{29}{199}]^2+[\frac{33}{199}]^2\\\\(e_{2})^2=\frac{1930}{39601}\\\\(e_{2})^2=0.04873\\\\e_{2}=0.2207\\\\z_{2}=\frac{P'_{2}-P_{2}}{e_{2}}\\\\z_{2}=\frac{\frac{33}{199}-\frac{29}{199}}{0.2207}\\\\z_{2}=\frac{4}{43.9193}\\\\z_{2}=0.0911$