Answer:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And for this case we want to find this probability:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Answer:
4.5 sq. units
Step-by-step explanation:
area = -⅓x³+3/2 x² ] 0 to 3
= -⅓(3)³+ 3/2 (3)² -0
= -9 + 27/2
= -9 + 13.5
= 4.5 sq. units
The question is not well-expressed, but it looks like you want to evaluate
5 + (-3) - 65 + (-3) - 65 + (-3) - 6
Answer:
-140
Step-by-step explanation:
First of all, note the following
- Multiplying a negative number by another negative number gives a positive number.
- Multiplying a negative number by a positive number gives a negative number.
- Multiplying a positive number by a positive number gives a positive number.
- Brackets mean multiplication.
So
5 + (-3) - 65 + (-3) - 65 + (-3) - 6
= 5 - 3 - 65 - 3 - 65 - 3 - 6
= -140
It also goes from linear too, I don’t know what else sorry
Answer:
Option B. 5 hours
Step-by-step explanation:
The tennis club charges monthly fees = $50.00
and per hour charges of court time = $10.00
Lets assume you play number of hours in a month = x hr
So, per hour charges would be = $10x
Total payment = monthly charges + charges of played hours
$100.00 = $50.00 + 10x
10x = 100 - 50
10x = 50
x = 5
Option B. You used 5 hours court time.