Answer:
Step-by-step explanation:
Let's start by using change of base property:
So, for
Now, using change of base for
You can express as:
Using reduction of power property:
Therefore:
As you can see the only difference between (1) and (2) is the coefficient :
So:
(a) Animals by popularity; Dogs, Cats, Others, Horses.
(b) If 250 students were interviewed, 20 students have other pets.
(c) No, it was incorrect.
Step-by-step explanation:
Step 1; We arrange the different pets in chronological order, from the highest percent to the lowest percent;
1. Dogs - 67%,
2. Cats - 20%
3. Others - 8%,
4. Horses - 1%.
None is not included in this list.
Step 2; If 250 students were interviewed, 8% of those have other pets. So we need to calculate how much 8% of 250 is.
8% of 250 = × 250 = 0.08 × 250 = 20.
So 20 students had other pets.
Step 3; 20% of the interviewed students had cats. If 75 students had cats, we need to equate 20% to the 75 and find out how many students were actually interviewed.
20% × x = 75, 0.2 × x = 75,
x = = 375.
So if 375 students were interviewed, 75 students would have cats. So the estimate of 250 students being interviewed is incorrect.
