B
Equivalent fractions are made when you multiply both the top (numerator) and the bottom (denominator) of the fraction by the same number. The only choice that is correct here is B.
Answer:
8 feet
Step-by-step explanation:
Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.
Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.
- 2(2 1/3) + 2(1 3/4) = perimeter of rectangle
To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.
Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.
- 2(7/3) + 2(7/4)
- 14/3 + 14/4
To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.
- 14/3 (4/4) = 56/12
- 14/4 (3/3) = 42/12
Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.
You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.
The perimeter of the rectangle is 8 feet.
The formula is L*W*D, right?
So for the cube, since all sides are equal then the Length, Width and Depth would all be 8 unless otherwise specified. 8*8*8=512
The rectangle would be 10*2*3&1/2 or 10*2*3.5=70
I hope this is correct but if you want check my work with a calculator to make sure.
Answer:
Step-by-step explanation:
We are given the following in the question:
Significance level = 0.01
Width of interval = 0.1
Population variance = 
We have to find the sample size so that the width of the confidence interval is no larger than 0.1
Formula for sample size:
where E is the margin of error. Since the confidence interval width is 0.1,
Putting these values in the equation:
So, the above expression helps us to calculate the sample size so that the width of the confidence interval is no larger than 0.1 for different sample variances.
Answer: 10 4/5
Convert the mixed numbers to improper fractions
Use the algebraic formula for addition of fractions:
a/b + c/d = (ad + bc) / bd
Reduce fractions and simplify if possible
