What is the domain and range of this function?

Alan is 14 years old.This is twice as old as his brother James is.How old is James?

Vladimir [108]

His brother would be 7 years old.

6 0

3 years ago

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The graph shown below is a scatter plot:

KengaRu [80]

Point L because it is not in the same pattern as the others. It is on its own.

3 0

3 years ago

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume th

Usimov [2.4K]

Answer:

a) $f(x) = \frac{1}{25.9}$

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

$P(X < x) = \frac{x - a}{b - a}$

The probability of finding a value between c and d is:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The probability of finding a value above x is:

$P(X > x) = \frac{b - x}{b - a}$

The probability density function of the uniform distribution is:

$f(x) = \frac{1}{b-a}$

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that $a = 284.7, b = 310.6$ .

a. Give a mathematical expression for the probability density function of driving distance.

$f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}$

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

$P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046$

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

3 0

2 years ago

Probability cards <br> How to solve this, I don’t get it all all?

Ronch [10]

There are 12 cards with different letters & patterns. The probability of randomly choosing [random card] is #[random card]/total cards.

Think of that as ratio as a %chance or probability of written as P(X). The question says to write the %chance as a fraction.

1) 2/12 = 1/6
2) 2/12 = 1/6
3) 0/12 = 0
4) 12/12 = 1
5) This is tricky. M & T would imply one card with both letters on it. 0/12 = 0
6) 4/12 = 1/3
7) 6/12 = 1/2
8) 5/12
9) 3/12 = 1/4
10) 8/12 = 2/3
11) 10/12 = 5/6
12) Odds = [favorable]:[unfavorable] = 5:7

3 0

2 years ago

write an equation that demonstrates the relationship between x and y for the points plotted on the coordinate grid

svetoff [14.1K]

Answer: y=3x-7

Explanation:

The y-intercept is -7 and the line is going up by a rate of 3.

5 0

2 years ago

What is the domain and range of this function?​

What is the domain and range of this function?