Answer:
c
1,400
Step-by-step explanation:
We take the sample proportion of skunks and estimate for the entire population.
Sample:
140 skunks out of 230 + 140 + 120 = 490 animals.
140/490 = 0.28571428571
If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?
0.28571428571 out of 5000. So
0.28571428571*5000 = 1429
Close to 1400, which means that the answer is given by option C.
Answer:
a
Step-by-step explanation:
You have to go at this in a round-about fashion...by finding the length of the leg across from the 67 degree angle. This is found by using the tangent ratio...Tan(67)=x/137; x=137tan(67) = 322.8. Now you can use this in one of two ways: use Pythagorean's Theorem to find the length of the hypotenuse OR you could use the sin67=322.8/x. Up to you. Either way, make sure you have your calculator in degree mode!
Answer:
32
Step-by-step explanation:
We let the length of the square be l, the diagonal be z and the area be A.
Then by Pythagoras theorem;

The are of a square of length l is given as;

Combining these two equations yields;


Next, we have been given;

We are required to find;
when z = 4
By chain rule;

Differentiating
with respect to z yields;

Therefore,
= 8z
When z is 4m the area of the square will be increasing at a rate of;
8m/min * 4m = 32
You can re-write this quotient this way :

What's inside the square root must be greater than or equal to 0, because the domain of the square root function is defined on R+ (which is [0,+∞))
In other word we must find x so that :

at the end we get
28(x-1) ≥ 0
28x - 28 ≥ 0
28x ≥ 28
x ≥ 1
So the answer is B, x ≥ 1