Answer:
15.86%
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Percent of area between the mean and 0.20 standard deviations from the mean:
pvalue of Z = 0.2 subtracted by the pvalue of Z = -0.2
Z = 0.2 has a pvalue of 0.5793
Z = -0.2 has a pvalue of 0.4207
0.5793 - 0.4207 = 0.1586
So this percentage is 15.86%
Answer:
sides
14 X 22 = 308 square foot there are four of these
308 X 4 = 1232 square foot.
triangles
A= 0.5 X b X h
0.5 X 14 X 10 = 70 square foot again there are four of these 70 X 4 = 280 square foot
1232 + 280 = 1512 square foot
1512/213 = 7.09859154
8 gallons of paint will need to be purchased.
Answer:
Step-by-step explanation:
Pay attention to order of vertices when comparing the congruent parts or figures.
C and D as well as B and E are corresponding vertices according to angle marks and side marks.
We have been given three statements. From those statements, we have to pick the statement that can conclude that that two lines are parallel.
Statement 1:
If right angles are formed, then lines are parallel.
This is not valid because if the angle formed is right angle then lines forming right angle will be perpendicular.
Statement 2:
If two lines are perpendicular to another line, then they are parallel.
This is valid because the line on which other two lines are perpendicular will work as transversal and the alternet interior angles will be equal. Hence the two perpendicular lines on given line will be parallel to each other.
Statement 3:
If alternate interior angles are equal, then lines are parallel.
This is valid as explained above.
Hence final answer are statement 2 and statement 3 both.
So when you're solving for x here and distribute 8 on the right side, it would look like this:
Now in order to solve for x, we know we have to get all the x's on one side of the equal sign. Let's get all our x's to the left side. Since the right side has a positive 8x, you need to subtract 8x on the right. But whatever you do to one side you must do to the other. So since we are subtracting 8x on the right, we need to do that on the left.
But we can't! Since both sides will cancel out to zero before x can be solved.
Therefore the answer is 0.
Hope that helps!
