Answer:
The answer is 1-5x+135y
Step-by-step explanation: multiply the numbers 3 and 45 which give you 135
Is this 2x to the power of 2?
if it is then this is easy
list it out (just to show you how its solved)
2x^2*4x^2
2x^2*(-12x)
2x^2*10
then list the other one
-5x*<span>4x2
</span>-5x*(-12x)
-5x*10
so the whole answer is
8x^4+(-24x^3)+(-20x^3)+20x^2+60x^2+(-50x)
Translations of geometric figures in the coordinate plane can be determined by translating the x- and y-coordinates of points. Horizontal and vertical translations are the easiest. ... Solution: A horizontal translation just changes the x-coordinates of all points, so the rule is (x, y) à (x + 3, y).
Answer:
Step-by-step explanation:
<h3>Given </h3>
- Points A(-1,7) and B (11,-1)
<h3>To find</h3>
<h3>Solution</h3>
<u>Using midpoint formula</u>
- x = (-1 + 11)/2 = 10/2 = 5
- y = (7 -1)/2 = 6/2 = 3
Midpoint is (5, 3)
Question:
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 97% , how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 18 years.
Answer:
61.03
Step-by-step explanation:
Given:
Standard deviation = 18
Sample estimate = 5
Confidence level = 97%
Required:
Find sample size, n.
First find the Z value. Using zscore table
Z-value at a confidence level of 97% = 2.17
To find the sample size, use the formula below:





Sample size = 61.03