Answer:
2¾
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
Answer:
A
Step-by-step explanation:
This is a Bernoulli trial problem.
Since the probability that the seed will germinate is 80% or 0.8, the probability that they won’t germinate is 0.2
Now let’s say the probability to germinate is p and the probability not to is a, we can now set up the Bernoulli equation in this regard. Since we are proposing that exactly 14 will germinate, it means 6 are not expected to germinate
P(14) = 20C14 (0.8)^14 (0.2)^6 = 0.109099700973
Option A is the right answer
Answer:
33x + 3
Step-by-step explanation:
To expand an equation like the one you have shown, multiply the 3 with everything inside the parenthesis.
3*11x=33x
3*1=3
Answer:
...
against the wind, an airplane travels 3640 km in 7 hours.
with the wind, the same plane travels 6000 km in 6hrs.
...
let speed of plane in still air be x mph
speed of wind be y mph.
..
t=d/r
..
against wind speed = x-y mph
with wond speed = x=y mph
...
3640/(x-y)=7
3640 = 7x-7y
/7
520=x-y.....................1
...
6000/x+y = 6
6000 = 6x+6y
/6
1000=x+y.....................2
...
Add (1) & (2)
2x=1520
/2
x=760 mph speed of plane in still air
...
plug value of x in 2
1000=760+y
100-760=y
240 = y
240 mph speed of wind
