Answer:
Step-by-step explanation:
0.2x + 2.7x - 8.1 = 6.9 + 1.1x
0.2x + 2.7x - 1.1x = 6.9 + 8.1
1.8x = 15
x = 15/1.8
x = 8.33
Answer:
s=19
Step-by-step explanation:
18s-17s+1=20
s+1=20
s=20-1
s=19
Wrapping paper design with the elements numbered bisected angle
Find the Greatest Common Factor (GCF)
GCF = 2xy
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2xy(8x^3y/2xy + -8x^2y/2xy + -30xy/2xy)
Simplify each term in parenthesis
2xy(4x^2 - 4x - 15)
Split the second term in 4x^2 - 4x - 15 into two terms
2xy(4x^2 + 6x - 10x - 15)
Factor out common terms in the first two terms, then in the last two terms;
2xy(2x(2x + 3) -5(2x + 3))
Factor out the common term 2x + 3
<u>= 2xy(2x + 3)(2x - 5)</u>
Answer:
A. -1.6; not significant
Step-by-step explanation:
The z-score of a data set that is normally distributed with a mean of 
and a standard deviation of 
, is given by:
.
From the question, the test score is: 
, the mean is 
, and the standard deviation is 
.
We just have to plug these values into the above formula to obtain:
.
This simplifies to: 
.
.
We can see that the z-score falls within two standard deviations of the mean.
Since 
the value is not significant.
The correct answer is A. -1.6; not significant
