What is the distance between points (8,3) and (53,31) on a coordinate plane?
1 answer:
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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
Answer:
False
Step-by-step explanation:
given that a race car driver tested his car for time from 0 to 60 mph, and in 20 tests obtained an average of 4.85 seconds with a standard deviation of 1.47 seconds.
Sample size n = 20
since population standard deviation is not known, we can use t critical value for finding out the confidence interval
df=19
t critical = 2.045
Margin of error =
conidence interval = Mean±Margin of error
=
The given confidence interval is (4.52, 5.18)
Hence the statement is false.
Answer:
Measure of ∠BCP is 36°
Step-by-step explanation:
Given the circle in which measure of arc BC is 72°
we have to find the measure of angle BCP.
m∠BOC=∠2=72°
By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.
∴ ∠2=2∠1 ⇒ 72=2∠1
⇒ ∠1=36°
By alternate segment theorem which states that
The angle formed between a chord and a tangent through one of the end points of chord is equals to angle in alternate segment.
⇒ ∠3=∠1=36°
Hence, measure of ∠BCP is 36°
Option D is correct
