Answer:
A
Step-by-step explanation:
x+y=34 (add the seperate hours together to get the total amount of hours)
10x+15y=410 (multiply the money made each hour by the hours worked and add them together to get the amount of money joy made)
Answer:
a. N(500, 100)
Step-by-step explanation:
The normal probability distribution, with mean M and standard deviation S, can be represented in the following notation.
N(M,S).
In this problem, we have that:
Mean = 500
Standard deviation = 100
Which of the following options would be the correct way to represent the information?
a. N(500, 100)
If you divide negative by positive it will be negative.
If you divide positive by negative it will be negative.
If you divide 2 negatives you get a positive.
I hope this helps :)
Answer:
1.83% probability there are no car accidents on that stretch on Monday
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
The number of accidents on a certain section of I-40 averages 4 accidents per weekday independent across weekdays.
This means that 
What is the probability there are no car accidents on that stretch on Monday?
This is P(X = 0).


1.83% probability there are no car accidents on that stretch on Monday
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)