LCM= 40
factors of 5- 5, 10, 15, 20, 25, 30, 35, 40*
factors of 8- 8, 16, 24, 32, 40*
10d+ 25q+5n= 805
D= n+8
Q= n+ 5
10d+ 25q+5n= 805
10(n+8)+25(n+5)+5n=805
10n+80+25n+125+5n=805
40n+205=805
40n=805-205
40n= 600
N=600/40
N= 15
D= n+8
D= 15+8
D= 23
Q=n+5
Q=15+5
Q=20
So 15 nickels ,23 dimes and 20quarters .
To check
15(0.05)= $0.75
23(0.10)=$2.30
20(0.25)=$5.00
Add it
5.00+2.30+0.75=8.05
7.30+.75=8.05
8.05=8.05
Answer:
90% of the variation in the dependent variable is explained by the independent variable.
Step-by-step explanation:
We are given the following in the question:
coefficient of determination = 0.9
We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.
Coefficient of Determination:
- The coefficient of determination is a measure that explains and predicts the dependent variable.
- It explains the variation in the dependent variable caused by the independent variable.
- The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.

Thus, 90% of the variation in the dependent variable is explained by the independent variable.
Answer: A- most of the songs were between 3 minutes and 3.8 minutes long.
Step-by-step explanation:
Answer:
x=πn, n∈Z
Step-by-step explanation:
if sin²2x=1-cos²2x, then
1-cos²2x-2cos2x+2=0; ⇒ cos²2x+2cos2x-3=0; ⇔ (cos2x+3)(cos2x-1)=0;
