y - -10 = - (x - 3)
y + 10 = -x + 3
y = -x - 3
When put in point slope form, the equation is written as y minus negative 10 equals x minus 3 times -1 (y - - 10 = - (x - 3). The y minus negative 10 changes to y plus 10 (y + 10) and you distribute the right side by multiplying by negative one (-1 or simply just "-"). Then you subtract 10 from both sides, leaving us with the answer y = -x - 3.
Hope that made sense and helped.
Answer:
7
Step-by-step explanation:
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.
Answer:
8
Step-by-step explanation:
use trig functions
2 sides and 1 angle given
Sides given
- hypotenuse -> x
- opposite side to 30˚ -> 4
Angle
trig function associated with hyp and opp is sin
sin(x) = opp/hyp
substitute
sin 30˚ = 4/x
solve for x
0.5 = 4/x
0.5x = 4
x = 8
Answers are in an attached photo
