Answer:
20
Step-by-step explanation:
Given function f(x)=![\[x^{2}-x\]](https://tex.z-dn.net/?f=%5C%5Bx%5E%7B2%7D-x%5C%5D)
We need to find f(-4) which means we need to find the value of the function when x=-4
.
On substituting x=-4 in the given function:
f(-4)=![\[-4^{2}-(-4)\]](https://tex.z-dn.net/?f=%5C%5B-4%5E%7B2%7D-%28-4%29%5C%5D)
Square of -4 is 16.
Hence, f(-4)=![\[16+4\]](https://tex.z-dn.net/?f=%5C%5B16%2B4%5C%5D)
=
Hence the value of the given function f(x)= when x=-4 is 20.
Answer:
3x=6. 5x=10. 6x=12
Step-by-step explanation:
the sides are 6,10,12.
Answer:
p = 0.38, n = 20
The probability that he throws more than 10 strikes = 0.09233
Step-by-step explanation:
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of times Jack wants to bowl = 20
x = Number of successes required = number of strikes he intends to get
p = probability of success = probability that Jack throws a strike = 0.38
q = probability of failure = probability that Jack doesn't throw a strike = 0.62
P(X > x) = Σ ⁿCₓ pˣ qⁿ⁻ˣ (summing from x+1 to n)
P(X > 10) = Σ ²⁰Cₓ pˣ qⁿ⁻ˣ (summing from 11 to 20)
P(X > 10) = [P(X=11) + P(X=12) + P(X=13) + P(X=14) + P(X=15) + P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20)
P(X > 10) = 0.09233
There are binomial distribution cacalculators that can calculate all of this at once. Get one to minimize errors.
The graph of f(x) is a straight line passing through points (0, -7) and (7, 0)
We know that coordinates are labeled (x,y)
The formula to find slope is (Y2-Y1)/(X2-X1)
So (2- (-7))/(-6-(-6) undefined because the denominator is zero. The line looks like a vertical line at x=-6
