Answer:
probability that his sample will contain at least one damaged apple (P) = 0.7215
Step-by-step explanation:
Given:
Probability of damaged apples (p) = 12% = 0.12
number of samples (n) = 10
Consider,
x- number of apples damaged.
Using Binomial distribution formula:
P(x) = 
To find the probability that his sample will contain at least one damaged apple:
P(x≥1) = 1 - P(x<1)
= 1 - P(x=0)
= 1 - 
P(x≥1) = 0.7215
Answer:
6.2 units.
Step-by-step explanation:
We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.

Cross multiplying and solving will get you this:

Which can simplify to:

Which putting into a calculator gets you:

So the line PR is 6.2 units long.
6:15:21
6:15:21= 2:5:7
<em>(when divided by 3)</em>
24 units by 15 units. divide both numbers by 5
Answer:
(a) 6x + (x + 12) = 180
(b) m<1 = 144 m<2 = 36
Step-by-step explanation:
7x + 12 = 180
7x = 168
x = 24
6(24) = 144
(24) + 12 = 36