Using the mean concept, it is found that the value of the number that was removed was of 4.
<h3>What is the mean?</h3>
The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.
The mean of five numbers is 8, hence, the sum of the numbers is given by:
S = 5 x 8 = 40.
If one of the five numbers is removed, the mean becomes 9, hence, the sum of the four numbers is given by:
S = 4 x 9 = 36.
The difference is:
40 - 36 = 4.
Hence, the value of the number that was removed was of 4.
More can be learned about the mean concept at brainly.com/question/25122507
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Answer:
Step-by-step explanation:
In this problem we have a exponential function of the form
where
f(x) is the remaining mass of the element in grams
x is the time in minutes
a is the initial value (y-intercept of the exponential function)
b is the base
r is the rate
In this problem we have
---> is negative because is a decay's rate
substitute
The exponential function is equal to
For x=15 minutes
substitute in the function
Y=2x+2 the equation that represent the line
Answer:
(x+4)(2x+1)
Step-by-step explanation:
1. 2x^2+8x+x+4 ----- split the second term in 2x^2 + 9x+4 into two terms.
2. 2x(x+4)+(x+4) ----- Factor out common terms in the first two terms, then in the last two terms.
3.(x+4)(2x+1) ------ factor out the common term x+4