Answer:
H
Step-by-step explanation:
Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 1 over 32
1
3
= ( 2 × 3 ) over 3
2 × 3
3
+ 1 over 3
1
3
= ( 6 + 1 ) over 3
6 + 1
3
= 7 over 3
7
3
Step 1 of 2: Subtract, sub-step c: Find common denominator.
Find common denominator
32 over 9
32
9
− 7 over 3
7
3
= ( 32 × 1 ) over ( 9 × 1 )
32 × 1
9 × 1
− ( 7 × 3 ) over ( 3 × 3 )
7 × 3
3 × 3
= 32 over 9
32
9
− 21 over 9
21
9
9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step d: Subtract.
Subtract
32 over 9
32
9
− 21 over 9
21
9
= ( 32 − 21 ) over 9
32 − 21
9
= 11 over 9
11
9
Step 1 of 2: Subtract.
Step 2 of 2: Simplify.
Simplify
11 over 9
11
9
= 1 and 2 over 91
2
9
D. 4.81 x 10^13
Move the decimal to the right 13 times, because when you multiply by 10, you make the number bigger, when you divide you move the decimal to the left to make the number smaller.
48,100,000,000,000
Answer: a. iv. The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
b. ii. There is a fairly strong, negative relationship between car weight and miles per gallon.
Step-by-step explanation:
- A coefficient of determination (denoted by R²) is a measure in a regression model that determines proportion of the variance in the dependent quantity that is predictable from the independent quantity.
- It is square of correlation coefficient (R).
Here, independent quantity = weight of a car
dependent quantity = miles per gallon (gas mileage)
The coefficient of determination (R²) was reported to be 79.6%.
That means, The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
- A correlation coefficient(R) tells about the strength and direction of relation .
- It lies between -1 and 1.
For the study, the correlation coefficient R is -0.8921.
There is a fairly strong, negative relationship between car weight and miles per gallon.
Price she paid, P = $80 .
She sells the bicycle at 1/4 of the price she paid.
Let, buying price is x.
So, as given in question selling price will be x/4.
Also, selling price is given as $80 .
Therefore, Steph pay $320 for the bicycle.
Hence, this is the required solution.
