Answer:
Step-by-step explanation:
90
Answer:
<h2>The distance from the pitcher's mound and to second base is 37.99 approximately.</h2>
Step-by-step explanation:
The diamond is a square, which in this case has 50 feet long each side, and from home to pitcher is 38 feet. Notice that home is a vertex of the square and the pitcher's mound is the intersection of the diagonals, where they cut half.
We can find the distance from the pitcher to first base using Pythagorean's Theorem, where 50 feet is the hypothenuse.

Therefore, the distance from the pitcher to first base is 32.5 feet, approximately.
Now, we can use again Pythagorean's Theorem to find the distance from pitcher to second base, where the hypothenuse is 50 feet.

Therefore, the distance from the pitcher's mound and to second base is 37.99 approximately.
<em>(this results make sense, because the diagonals of a square intersect at half, that means all bases have the same distance from pitcher's mound, so the second way to find the distance asked in the question is just using theory)</em>
Hello from MrBillDoesMath!
Answer:
2 - i
Discussion:
Evaluate F(x) = x^3 - 2 x^2 when x = i.
i^2 = -1 for i^3 = i ( i^2) = i (-1) = -i
So F(i) = (i)^3 - 2 (i)^2
= -i - 2(-1)
= -i + 2
= 2 - i
which is the last answer shown
Thank you,
MrB
Answer:
a) 0.06048 b) 0.001344 c) 0.000294
Step-by-step explanation:
number of distributors = 10;
number of orders = 7
a)
There are 10 distributors for each order, so the no. of ways the 7 orders could be placed are = 10⁷ =10000000
no. of ways that orders goes to different distributors = ¹⁰C₇*7! = 604800
Probability = 604800/10000000 = 0.06048
b)
number of ways distributor 1 gets exactly 2 and distributor 2 gets exactly 3 orders = ⁷C₂*⁵C₃*8² = 13440
probability = 13440/10000000 = 0.001344
c)
number of ways distributor 1, 2,3 get exactly 2,3 and 1 order(s) = ⁷C₂*⁵C₃*²C₁*7¹ = 2940
probability = 2940/10000000 = 0.000294
Step-by-step explanation:
answer is in the above picture