Use Pythagoras to find opposite side (length of wall
then divide this number by 10
Answer:
Pr(all will survive in one year) = 0.35 to 2 decimal places
Pr(at least 8 will survive) = 0.39 to 2 decimal places.
Step-by-step explanation:
Probability of a tree surviving one year is 0.9. While not surviving probability is 1 - 0.9 = 0.1
This is obtained from the 90℅ surviving rate for one year planted by the landscaping firm.
Probability that if 10 trees are planted, all will survive for one year is:
0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9 = 0.9^10 = 0.349
Probability that at least 8 will survive in one year can be expressed as
8 survived x 2 not survived +(or) 9 survived x 1 not survived +(or) 10 survived
= [(0.9^8)x(0.1^2) + (0.9^9)x(0.1^1) + (0.9^10)] = 0.391
Step-by-step explanation:
Answer:
about $145.33
Step-by-step explanation:
Consider a group of 15 customers. They will pay ...
15 × $258 = $3870
in premiums each year.
One-third of those, 5 customers, will submit claims for fillings, so will cost the insurance company ...
5 × $110 = $550
And 80% of them, 12 customers, will submit claims for preventive check-ups, so will cost the company ...
12 × $95 = $1140
The net income from these 15 customers will be ...
$3870 -550 -1140 = $2180
Then the average income per customer is this value divided by the 15 customers in the group:
$2180/15 = $145.33
_____
<em>Alternate solution</em>
Above, we chose a number of customers that made 1/3 of them and 4/5 of them be whole numbers. You can also work with one premium and the probability of a claim:
258 - (1/3)·110 - 0.80·95 = 145.33
27/35 is the greatest factor
Answer:
83 degrees
Step-by-step explanation:
Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.
180 - 97 = 83 degrees
