A: x = 2.4
b: m = 9.6
c: c = 2 5/12
d: m = 3.6
e: c = 6.6
Answer:
Step-by-step explanation:
<u>According to intersecting chords theorem:</u>
- 21(2x - 6) = 30(x + 1)
- 42x - 126 = 30x + 30
- 42x - 30x = 126 + 30
- 12x = 156
- x = 156/12
- x = 13
<u>Find the value of YZ:</u>
Answer:
0.336
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Here, n = 8, r = 7, p = 0.8, and q = 0.2.
P = ₈C₇ (0.8)⁷ (0.2)⁸⁻⁷
P = 0.336
we have M is durectly porpotional to r^2
so M=(k)r^2
and when r=2, m=14
so 14=(k)(2)^2
k=14/4 =7/2
so when r=12
m= (7/2)(12)^2 =(7/2)(144) = 504
Composing functions means that the input of the outer functions is the output of the inner function.
In fact, you can rewrite the circle notation as
So, we can substitute g(x) with its expression:
And since f(x)=x+5, we simply have to add 5 to its input:
Similarly, we have, substituting f with its expression,
And since g(x)=4x+2, we have to multiply the input by 4 and add 2:
