Answer:

And we can find this probability with the complement rule:

Step-by-step explanation:
For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

And for this case the probability density function is given by:

And the cumulative distribution function is given by:

And we want to find this probability:

And we can find this probability with the complement rule:

Answer:
<D = 100
<E =30
<F =50
Step-by-step explanation
Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e
<A = <D
<B = <E
<C = <F
Given
<A = 100 then <D = 100
<B = 30°, then <E = 30°
To get <F, we will use the expression
<D+<E+<F = 180 (sum of angles in a triangle is 180°)
100+30+<F = 180
130+<F = 180
<F = 180-130
<F = 50°
Hence the measure of <F is 50°
Answer:
Step-by-step explanation:

This is the simplest form as 17 is a prime number.

19 is a prime number. so it is the simplest form.

X±49
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Cubed square root of 7 or decimal form of ±25.615140