Answer:
1. 
2. 
Step-by-step explanation:
1. Russell is 5'9'' (under 6 feet). There are 130+120+35=285 players with the height under 6 feet and 120 of them are forwards. The probability that Russell is a forward is

2. Peter is 6'2'' (over 6 feet). There are 25+30+30=85 players with the height over 6 feet and 25 of them are guards. The probability that Peter is a guard is

Answer:
And we can find this probability using the complement rule and the normal standard distribution and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the number of attacks of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and the normal standard distribution and we got:
Given triangle ABC with coordinates A(−6, 4), B(−6, 1), and C(−8, 0), and its image A′B′C′ with A′(−2, 0), B′(−5, 0), and C′(−6,
Zinaida [17]
Answer:
The line of reflection is at y = x+6.
Step-by-step explanation:
The perpendicular bisector of AA' is a line with slope 1 through the midpoint of AA', which is (-4, 2). In point-slope form, the equation is ...
y = 1(x +4) +2
y = x + 6 . . . . . . . line of reflection
Answer:
18
Step-by-step explanation:
First, you would do a proportion
=
Then you would cross multiply, getting 50x=900.
After that, you would do 900/50, which is 18.