Answer:
4
Step-by-step explanation:
30-22=2x
8=2x
8/2=x
Y=1/2 the points would intersect
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:

Oh that’s on safari i just looked it up lol. go check it out. sorry if it’s not there for u. but i didn’t feel like typing that much
Answer: The number is 12.
Step-by-step explanation:
Since we have given that
Sum of two digits = 12
Let the one's digit be 'x'
Let the ten's digit be '12-x'
So, Original number would be

If 16 is added to the number, then one of the digit is four times the value of the other.
According to question, we get that

so, the one's digit be 'x'.
Let the ten's digit be '4x'.
so, New number would be

According to question, it becomes,

So, the number would be

Hence, the number is 12.