Answer:
60.2 miles.
Step-by-step explanation:
43 / 2.5 = 17.2 << unit rate
17.2 x 3.5 = 60.2
Answer:
a) 910
b) 828100
c) 144320
Step-by-step explanation:
a. ∑y
This is the sum of all values of y. So

b. (∑y)^2
This is the square of the sum, so the square of 910, that we found in the previous item.
910² = 828100
c. ∑y^2
This is the sum of the squares of each amount spent. So

The range of the function is 
Explanation:
The function is 
The domain of the function is 
We need to find the range of the function.
The range can be determined by substituting the values of domain in the function.
Thus, the range of the function when the domain is -3 is given by



Thus, the range is -19 when 
The range of the function when the domain is 0 is given by



Thus, the range is -4 when 
The range of the function when the domain is 4 is given by



Thus, the range is 16 when 
Thus, the range of the function is
when their corresponding domain is 
Arranging the range in order from least to greatest is given by

Hence, the range of the function is 
Answer:

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


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".
Let X the random variable of interest, 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:
Solution to the problem
For this case we want this probability:

And we can use the complement rule and we got:

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


And replacing we got:
