Answer:
10.3
Step-by-step explanation:
As we move from (-3,-6) to (2,3), x increases by 5 (this is the horizontal distance between (2,3) and (-3,-6) ) and y decreases by 9 (vertical distance).
We apply the Pythagorean Theorem here:
d^2 = x^2 + y^2, or
d^2 = (5)^2 + (-9)^2 = 25 + 81 = 106
Thus, the distance between (2,3) and (-3,-6) is d = sqrt(106), or approx.
10.3.
Answer:
The probability distribution of the number of customers that enter the store on a given day is:

Step-by-step explanation:
To calculate a parameter for the given day, we have to calculate what is the average arrival rate for the day.
This can be done with the data given:
1) From 10 to 12, 8 arrival/hour: 16 expected arrivals in this period
2) From 12 to 2, 8 to 12 arrival/hour (average: 10 arrivals): 20 expected arrivals in this period.
3) From 2 to 5, from 10 to 4 arrival/hour (average: 7 arrivals): 21 expected arrivals in this period.
The total expected arrivals in a day are: 16+20+21=57 arrivals/day.
Then, the probability distribution of the number of customers that enter the store on a given day is:

Answer:

Step-by-step explanation:

Multiplying the term by x, adds 1 to the power.
EG

Therefore

Step-by-step explanation:
a= 1/3
common ratio = -3
the 8th term is given by,


Answer:
Option D) 1.26 tons
Step-by-step explanation:
we have

where
d is the diameter of a rope in inches
w is the weight in tons
we have
----> the diameter is two times the radius
substitute the value of d and solve for w


assume

