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3 years ago

Expand and simplify 9a+3(8-2a).

2 answers:

6 0

To simplify the given function 9a+3(8-2a), first step to take is to distribute 3 to the terms inside the parenthesis via the associative property. In this case, the result is 9a + 24 - 6a. we add like terms that are equal to 3a + 24. we can factor furthermore to 3*(a+8)

olchik [2.2K]3 years ago

3 0

Hi there

9a + 3(8-2a)
9a + 24 - 6a
(9a -6a) +24
3x + 24

I hope that's help !

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Answer:

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

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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?

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

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Answer:

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We know that standard deviation of the sampling distribution of sample means

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Using the formula

The standard deviation of the sampling distribution of sample means

= $\frac{6.6}{\sqrt{65}}$

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Hence, the standard deviation of the sampling distribution of sample means would be 0.8186.

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