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romanna [79]
3 years ago
12

Below is a set of data representing the percentage of females in the labor force of

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0
The answer to this incorrectly worded question is b
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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
2 years ago
Find the equation of line parallel line to y=2x+7 and that goes through the point 4,12
Step2247 [10]
Y= 2x+4, because when you plug in x and y you then solve for b and get 4. The 2x is the same because the slope stays the same on parallel lines.
8 0
3 years ago
Find the volume of a rectanglular prism if the length is x and the width is x^2 and the height is 5x^2 +4x+1. Use the formula v=
My name is Ann [436]

Answer:

The volume = 5x^{5}+4x^{4}+x^{3}

Step-by-step explanation:

* The rule of the volume of the rectangular prism:

- the volume of any prism = base area × height

∵ The base of the rectangular prism is rectangle

∵ Area any rectangle = Length × Width = l × w

∴ The volume of the rectangular prism = l × w × h

* In the problem:

∵ l = x , w = x² , h = 5x² + 4x + 1

∴ The volume = (x)(x²)(5x² + 4x + 1)

* We will simplify it

- Multiply x by x² and then multiply the answer by the bracket

∵ x × x² = x³

∴ x³(5x² + 4x + 1)

∵ x³ × 5x² = 5x^5

∵ x³ × 4x = 4x^4

∵ x³ × 1 = x³

∴ The volume = 5x^{5}+4x^{4}+x^{3}

5 0
3 years ago
What is 3 1/5-1 3/10=p+5/6?
DENIUS [597]
3\frac{1}{5}-1\frac{3}{10}=p+\frac{5}{6}\\\\3\frac{2}{10}-1\frac{3}{10}-\frac{5}{6}=p\\\\p=2\frac{12}{10}-1\frac{3}{10}-\frac{5}{6}\\\\p=1\frac{9}{10}-\frac{5}{6}\\\\p=1\frac{27}{30}-\frac{25}{30}\\\\p=1\frac{2}{30}\\\\p=1\frac{1}{15}
6 0
3 years ago
Read 2 more answers
AD = 6x - 4 and AC = 4x - 3
salantis [7]

Answer:

CD= 2x-1

Step-by-step explanation:

AD = 6x-4

AC = 4x - 3

CD= AD- AC

CD=  6x-4 - (4x - 3)

CD= 6x - 4 - 4x +3

CD= 2x -1

Therefore, the value of CD= 2x-1

3 0
1 year ago
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