Answer:
Option (B).
Step-by-step explanation:
Since "measure of an angle formed between the tangent and a chord measure the half of the intercepted arc."
Therefore, x = 2 × (65)°
x = 130°
Since, measure of the inscribed angle is half of the measure of the intercepted arc.
Therefore, x = 2y
y =
y =
y = 65°
Therefore, Option (B). 65° will be the correct option.
Answer:
The number is 48
Step-by-step explanation:
First, let's call the number we are looking for n.
We can then write "two-thirds of the number" as 2/3n
We can also write "one-half of a number" as 1/2n
Finally, we are told 1/2n is the same as 2/3n −8 or: 1/2n = 23n −8
We can now solve for n: 1/2n − 2/3n = 2/3n −8 − 2/3n 1/2n − 2/3n = −8We next need to get the fractions over common denominators, in this case, 6 by multiplying each fraction by the necessary for of 1: (3/3) 1/2n − (2/2) 2/3n = −8 3/6n − 4/6n = −8 − 1/6n = −8.
We can finally solve for n by multiplying by -6 to isolate n −6 ⋅(−1/6)n = −8⋅ − 6
1n = 48
n =48
Answer:
f(1) = 1
Step-by-step explanation:
To go 1 on the x-axis and check to see where it is on the y-axis. In this case, when x = 1, y = 1.
Therefore, f(1) = 1.
This is a case of binomial distribution. The formula used in
calculations for binomial probability is:
P = nCr p^r
(1-p)^(n-r)
Where,
P = probability
nCr = combinations of
r from n possibilities
p = success rate = 40%
= 0.40
n = sample size = 10
<span>1st: Let us
calculate for nCr for r = 8 to 10. Formula is:</span>
nCr = n! / r! (n-r)!
10C8 = 10! / 8! 2! = 45
10C9 = 10! / 9! 1! = 10
10C10 = 10! / 10! 0! = 1
Calculating for probabilities when r = 8 to 10:
P (r=8) = 45 * 0.4^8 (0.6)^2 = 0.0106
P (r=9) = 10 * 0.4^9 (0.6)^1 = 0.0016
P (r=10) = 1 * 0.4^10 (0.6)^0 = 0.0001
Total probability that at least 8 were married = 0.0106 + 0.0016
+ 0.0001
Total probability
that at least 8 were married = 0.0123
<span> </span>