Answer:
42
Step-by-step explanation:
f(3)=2(3)^3-(3)^2-4(3)+9
f(3)=2(27)-(9)-12+9
f(3)=54-21+9
f(3)=33+9
f(3)=42
Answer:
1. AC = 5 cm
2. CD = 10.7 cm
Step-by-step explanation:
Looking at the left triangle, we see that AC is the side "opposite" of the angle given and AB is the "hypotenuse".
Which trigonometric ratio relates "opposite" to "hypotenuse"?
<em>Yes, that's SINE.</em>
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So we can write:

We know from 30-60-90 triangle, Sin(30) = 0.5, so we have:

Thus,
AC = 5 cm
Now, looking at right side triangle, we know AC, side "opposite" and we want to find CD, side "adjacent". Which trig ratio relates these 2 sides?
<em>Yes, that's tan!</em>
Thus we can write:

Now using calculator, we get our answer to be:
CD = 
So
CD = 10.7 cm
Answer:
The sampling distribution of X, for a sample of size 16, will be approximately normal with mean 2 mm and standard deviation 0.01 mm.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For the population:
Mean 2 mm, standard deviation 0.04 mm
Describe the sampling distribution of X (for a sample of size 16).
Sample of size 16 means that 
By the Central Limit Theorem, approximately normal with mean 2 and standard deviation 
Answer:
If L is the rate per hour, then the time required to leak 1 gallon is (1/L) hr.
Step-by-step explanation:
Let the rate of leak be L gal/hr. Dividing "1 gallon" by "L gal/hr" results in (1/L) hr.
Answer:
530.998cm^2
Step-by-step explanation:
General formula for the area of a circle is πr^2
And π is given to be 3.142
R is 13 cm
So let's apply the formula
Area=3.142×(13^2)
Area=3.142×169
Area=530.998cm^2
So the area of the circle is 530.998cm^2