Answer:
There is a 34.3% probability that he makes all of the shots.
Step-by-step explanation:
For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
What is the probability that he makes all of the shots?
This is P(X = 3).
There is a 34.3% probability that he makes all of the shots.
Answer:
y = 84
Step-by-step explanation:
1) add 3 to both sides of your equation to cancel out the -3
end up with: (1/3)y + 14 = (1/2)y
2) multiply both sides of your equation by 2 to cancel out the (1/2)
end up with: (2/3)y + 28 = y
3) subtract (2/3)y from both sides of the equation to cancel out the positive (2/3)y
end up with: 28 = (1/3)y
4) multiply both sides of the equation by 3 to cancel out the (1/3)
end up with: 84 = y
For #2, ∠3 and ∠1 are supplementary. You know that the measure of ∠1 is 162°, so what is ∠3? 180-162=18.
m∠3=18° if ∠1=162°.
Hope this helped!
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table
m = 
= 
= 1
Assuming that the equation is 3x^2+3x-6=0, then use the quadratic equation, (-b+- sqrt(b^2-4ac))/2a, with ax^2+bx+c as the original equation. so here we get (-3+-sqrt(9+72))/6 = (-3+-sqrt(81))/6 = (-3+-9)/6, = (-1+-3)/2 = 1 or -2. Plug in original to check.
