Answer:
<em>(c). </em>
<em> </em>
Step-by-step explanation:
The <u><em>cosine</em></u> is the <em>"x" coordinate</em> of the terminal point on the unit circle.
Thus the answer is <em>(c). </em>
Answer:
x = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
0.4(12 - 3x) = 0.3(12x - 16)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 4.8 - 1.2x = 3.6x - 4.8
- Add 1.2x on both sides: 4.8 = 4.8x - 4.8
- Add 4.8 on both sides: 9.6 = 4.8x
- Divide 4.8 on both sides: 2 = x
- Rewrite: x = 2
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The computer regression output includes the R-squared values, and adjusted R-squared values as well as other important values
a) The equation of the least-squares regression line is 
b) The correlation coefficient for the sample is approximately 0.351
c) The slope gives the increase in the attendance per increase in wins
Reasons:
a) From the computer regression output, we have;
The y-intercept and the slope are given in the <em>Coef</em> column
The y-intercept = 10835
The slope = 235
The equation of the least-squares regression line is therefore

b) The square of the correlation coefficient, is given in the table as R-sq = 12.29% = 0.1229
Therefore, the correlation coefficient, r = √(0.1229) ≈ 0.351
The correlation coefficient for the sample, r ≈ <u>0.351</u>
c) The slope of the least squares regression line indicates that as the number of attending increases by 235 for each increase in wins
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Feel free to change it up a little.
Sam and his friend went out for pancakes. They ordered a huge stack of pancakes but the waitress didn't give them enough maple syrup. Sam got 1/5 of a cup of syrup and his friend got 1/2 of a cup. If they wanted a lot of syrup, they would have to combine their cup of syrup.
How much syrup would they have if they combined their cups of syrup?
Now solve.
First, find the common denominator
10 is the common denominator
1/5=2/10 1/2=5/10
2/10+5/10=7/10
Sam and his friend has 7/10 cups of syrup, now they have enough and are satisfied