For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.
Me must do "10 combine 7" which is written by the binomial coefficient
; in general a binomial coefficient is written by:
In which
and
are positive integers, such that
.
So, for this problem:
Hence, there are 120 different ways to make the fruit salad.
Answer: 12a.) slope is 125, y-intercept is 50 (started at 50 ft)
12b.) f(3) = 425 feet
12c.) 3.6 hours
Step-by-step explanation:
12a.) The slope equation is y = mx+b, where m is the slope, and b is the y intercept.
12b.) to find f(3) you could either plug it into the equation given (125x+50) or pretend there is a vertical line at 3 on the x axis, and where it crosses the line given would be the answer.
12c.) He is climbing a 500 ft cliff, and according to the graph, it takes him 3.6 hours to do it. Another way to find this answer would be to find f(3.6), which is indeed 500 ft.
Hope this helps!
Answer:
5/3
Step-by-step explanation:
19x=3+4(x+6)-2
19x=3+4x+24-2
19x-4x=3+24-2
15x=27-2
15x=25
x=25/15
simplify
x=5/3
Answer:
Fast ball challenge
Step-by-step explanation:
Given
Slow Ball Challenge
Fast Ball Challenge
Required
Which should he choose?
To do this, we simply calculate the expected earnings of both.
Considering the slow ball challenge
First, we calculate the binomial probability that he hits all 7 pitches
Where
--- pitches
--- all hits
--- probability of hit
So, we have:
Using a calculator:
--- This is the probability that he wins
i.e.
The probability that he lose is:
---- Complement rule
The expected value is then calculated as:
Using a calculator, we have:
Considering the fast ball challenge
First, we calculate the binomial probability that he hits all 3 pitches
Where
--- pitches
--- all hits
--- probability of hit
So, we have:
Using a calculator:
--- This is the probability that he wins
i.e.
The probability that he lose is:
---- Complement rule
The expected value is then calculated as:
Using a calculator, we have:
So, we have:
-- Slow ball
--- Fast ball
<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>
Answer:
p(x) = (5x - 1) (x + 3)
Step-by-step explanation:
I apologize if I couldn't answer correctly, the question was a bit hard to understand because of the formatting.
Also I didn't see my answer in the list of answer choices but here it is:
if the polynomial has zeros at 0.2 and -3 the equation would have to be:
p(x)=(x-0.2)(x+3)
This is because plugging either of those numbers into the polynomial would cause it to equal 0.
(x-0.2) can be simplified by multiplying everything in the parenthesis by 5, getting rid of all of the decimals, making the final answer:
p(x) = (5x - 1) (x + 3)