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Butoxors [25]
3 years ago
9

Given f(x)=3(2-x)+5 what is the value of f(-5)?

Mathematics
1 answer:
Alexandra [31]3 years ago
4 0

Answer:

26

Step-by-step explanation:

given f(x)=3(2-x)+5 what is the value of f(-5)?

f(x)=3(2-(-5))+5            x minus a negative is a plus   2 -  -5 =  2 +5

      = 3(7) + 5

      = 21 +5

      =  26

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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
3 years ago
Solve the system of equations using substitution.
Lynna [10]

Answer:

(6,12)

Step-by-step explanation:

Substitute the value of y into y=2x:

x+6=2x

x=6

Substitute x into the equation of y=2x

y = 2*6 = 12

(6,12)

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2 years ago
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Answer:

Step-by-step explanation:

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7 0
3 years ago
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The answer would be 10$

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4 years ago
How many terms are there in the following expression: 3a + 3ab + 7b – 2c – 4d
Anastasy [175]
Lets count...
3a...thats 1 term
3ab...thats 2
7b....thats 3
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3 years ago
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