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ohaa [14]
3 years ago
10

A daily mail is delivered to your house between 1:00 p.m. and 5:00 p.m. Assume delivery times follow the continuous uniform dist

ribution. Determine the percentage of mail deliveries that are made after 4:00 p.m.
Mathematics
1 answer:
german3 years ago
7 0

Answer:

25% of deliveries

Step-by-step explanation:

This is a uniform distribution with parameters a = 1.00 and b =5.00. With these conditions, the following probability distribution functions can be applied:

P(X \leq x)=\frac{x-a}{b-a}=\frac{x-1.00}{5.00-1.00}\\P(X \leq x) = \frac{x-1}{4}\\P(X \geq x) = 1- P(X \leq x) \\P(X \geq x)=1- \frac{x-1}{4}

Therefore, the probability that X ≥ 4:00 p.m. is given by

P(X \geq 4)=1- \frac{4-1}{4}\\P(X \geq 4)=0.25=25\%

Thus, 25% of deliveries are made after 4:00 p/m.

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Toms son works in a sports store.Toms son earns a commision. He makes 2.5% of the amount he sells. Last week he sold $900 worth
siniylev [52]

Answer:

22.5

Step-by-step explanation:

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5 0
3 years ago
At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. T
elixir [45]

Answer:

\text{Exact area of the sidewalk}=40 \pi\text{ m}^2

\text{Approximate area of the sidewalk}=125.6\text{ m}^2

Step-by-step explanation:

We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.

To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.

\text{Area of circle}=\pi r^2, where r represents radius of the circle.

\text{Exact area of the sidewalk}=\pi*\text{(11 m)}^2-\pi*\text{(9 m)}^2

\text{Exact area of the sidewalk}=\pi*\text{121 m}^2-\pi*\text{81 m}^2

\text{Exact area of the sidewalk}=40 \pi\text{ m}^2

Therefore, the exact area of the side walk is 40 \pi\text{ m}^2

To find the approximate area of side walk let us substitute pi equals 3.14.

\text{Approximate area of the sidewalk}=40*3.14\text{ m}^2

\text{Approximate area of the sidewalk}=125.6\text{ m}^2

Therefore, the approximate area of the side walk is 125.6\text{ m}^2.

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3 years ago
Are the equations 3x - -9 and 4x - -12 equivalent? Explain.<br> Please Help!!
konstantin123 [22]
No because  when  you do 3*--9 = 27 and 4*--12 =48

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3 years ago
Help Question! Due Today
Anastasy [175]
5.B

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3 years ago
B is 30 more than a. B is 6 times as many as a. What is the value of a and b ?
12345 [234]

Answer:

180 is the answer you multiple 6 times 30

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3 years ago
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