<h3>Explanation:</h3>
GCF: the greatest common factor of numerator and denominator is a factor that can be removed to reduce the fraction.
<em>Example</em>
The numerator and denominator of 6/8 have GCF of 2:
6/8 = (2·3)/(2·4)
The fraction can be reduced by canceling those factors.
(2·3)/(2·4) = (2/2)·(3/4) = 1·(3/4) = 3/4
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LCM: the least common multiple of the denominators is suitable as a common denominator. Addition and subtraction are easily performed on the numerators when the denominator is common.
<em>Example</em>
The fractions 2/3 and 1/5 can be added using a common denominator of LCM(3, 5) = 15.
2/3 + 1/5 = 10/15 + 3/15 = (10+3)/15 = 13/15
Answer:
r = 7 q - 34
Step-by-step explanation:
Solve for r:
-34 + 7 q - r = 0
Subtract 7 q - 34 from both sides:
-r = 34 - 7 q
Multiply both sides by -1:
Answer: r = 7 q - 34
Answer:
B. <em>There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. </em>
Step-by-step explanation:
A. <em>One has 90% confidence that the sample proportion is equal to the population proportion. </em>
Confidence interval gives an interval estimate, not an equality
B. <em>There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. </em>
<em>Ture. </em>
<em>C.</em><em> One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. </em>
Also true but <em>One has 90% confidence is not good interpretation. </em>
<em>D</em><em>. 90% of sample proportions will fall between the lower bound and the upper bound.</em>
<em>Lower bound and upper bound is given to estimate population proportion. </em>
2x+5y=21, x+y=3
y=3-x
2x+5y=21
2x+5(3-x) =21
2x+15-5x=21
2x-5x+15=21
-3x+15=21
-3x=21-15
-x=6/3
-x=2
x=-2
23.5 feet
22.5 times 5.5= 129.25
129.25 divided by 7.5 = 23.5
