Basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.
Answer:
9 times
Step-by-step explanation:
Area = length x breadth
area of picture not enlarged = 3 x 5 = 15in²
If length is tripled it becomes , 3 x 3 = 9in
If width is tripled, it becomes , 5 x 3 = 15in
Area of enlarged picture = 9in x 15in = 135in²
amount by which enlarged image is larger = 135in² /15in² = 9
First we need to make both fractions equal to each other, and that means having to have the denominators the same.
What both 3 and 12 easily go into is 12.
So we need to make both fractions have a denominator of 12, so we multiply.
2/3 * 4/4 = 8 / 12
1/4 * 3/3 = 3 / 12
Now, we know that she has 8 / 12 pounds, and she uses 3 / 12 of it, so now we subtract to find how much she has left.
8 - 3 = 5
Out of the 12 pounds of roast beef, she now has 5 / 12 left.