(5m-4)/6 -1 = 4m - (3m+10)/2<br>Solve linear equation

There are 16 teams in a tournament. if during the first round, each team plays every other team exactly once, how many games wil

jasenka [17]

16x17=272/2=136. That is answer.

5 0

3 years ago

Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 7

Karolina [17]

Answer:

[0, 7]

Step-by-step explanation:

We want the height to be greater than or equal to 32 ft, so ...

704 +16t -16t^2 ≥ 32

t^2 -t -42 ≤ 0 . . . . . . . . . . . subtract 32, divide by -16

(t -7)(t +6) ≤ 0

This inequality will be true for values of t between -6 and +7. Since we're only concerned with times t ≥ 0, the appropriate solution interval is ...

0 ≤ t ≤ 7 . . . . [0, 7] in interval notation

6 0

3 years ago

In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and

coldgirl [10]

Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 40 and 65 meters.

This means that $a = 40, b = 65$

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is $P(X > 50)$

We have that

$P(X \leq 50) + P(X > 50) = 1$

So

$P(X > 50) = 1 - P(X \leq 50)$

$P(X \leq 50) = \frac{50 - 40}{65 - 40} = 0.4$

$P(X > 50) = 1 - P(X \leq 50) = 1 - 0.4 = 0.6$

60% probability that the distance is environment friendly.

b) Find the mean of the distances between the telephone poles

The mean of the uniform distribution is

$M = \frac{a + b}{2}$

So

$M = \frac{a + b}{2} = \frac{40 + 65}{2} = 52.5$

c) Find the standard deviation of the distance between the telephone poles.

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

So

$S = \sqrt{\frac{(65-40)^{2}}{12}} = 7.22$

5 0

3 years ago

Before they graduate from Great Lakes High School, all 12th grade students fill out a survey about their future college plans. A

mamaluj [8]

Answer:

178/662

Step-by-step explanation:

The information given is presented and summarised in the table below. $\left|\begin{array}{c|c|c|c}&$Attending an &$Not Attending an&$Total\\&$In-State College&$In-State College\\--&--&--&--\\$Begin&178&21&199\\$Won't Begin&301&162&463\\--&--&--&--\\$Total&479&183&662\end{array}\right|$