Answer:
The depth of the reflector is 0.84 feet
Step-by-step explanation:
<em>(See the figure below)</em>
The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:
(1)
With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:
(2)
Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:
, solving for y
Answer:
The expected number of contracts the sales representative will get this week is 5.22
Step-by-step explanation:
For each client, there are only two possible outcomes. Either there is a sales contract, or there is not. The probability of having a sale contract with each client is independent of other clients. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
In this problem, we have that:
What is the expected number of contracts the sales representative will get this week?
The expected number of contracts the sales representative will get this week is 5.22
Compound interest is the starting amount x (1+ the interest rate as a decimal)^ the time in years=the final amount.
In your case, the equation will be $1000*(1+0.10)^how many years= the final amount.
The missing digit is number 3. The total amount should be $132
I multiplied 11 by the numbers 10 and above to get the possible three digit answer who has 1 as the first digit and 2 as the last digit.
11 x 10 = 110
11 x 11 = 121
11 x 12 = 132
The 11 members of the Middle School Math club each paid $12 for a guest speaker.
Answer:
B
Step-by-step explanation:
