Answer:
x = -3
Step-by-step explanation:
System of equations has been given as,
y = 2x + 8
y =
Since, solution of the system of equations is the point of intersection on the graph.
Therefore, point of intersection or solution of the system will be,
(x, y) = (-3, 2)
This common point will satisfy both the equations.
And x = -3 will also both the equations.
Answer: n = 267
Step-by-step explanation: <u>Margin</u> <u>of</u> <u>Error</u> shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.
It can be calculated as
margin of error =
in which
z is z-score related to the confidence interval, which is this case is 1.96;
s is standard deviation;
n is the number in a sample;
So, the number of mice must be:
margin of error =
n = 267
<u>For the margin of error with 95% confidence interval be 0.6, it is needed </u><u>267 mice</u><u>.</u>
Answer:
a. 435.4
Step-by-step explanation:
We are given a geometric sequence with first term, firth term and the common ratio. We are asked to find the sum of first 5 terms of the geometric series.
The formula to calculate the sum of finite geometric series is:
Since we need to find the sum of first 5 terms, n will be 5. Using these values in the above formula, we get:
Therefore, the sum of first 5 terms of the given geometric series would be 435.4