Answer:
A
Step-by-step explanation:
is the standard deviation of x.
The standard deviation is gotten by:
1. find the average of x-values (add up all the values and divide by number of numbers, which is 5)
2. subtract the average, x bar, from each of the values, square it, and add up the difference
3. Divide that final answer by n, which is 5
4. Take the square root of the answer
<em>Now, let's find the average (x bar):</em>
<em>x bar = 
</em>
<em />
<em>Doing steps 2 & 3 together:</em>
<em>
</em>
<em />
<em>Doing step 4:</em>
<em>
</em>
<em />
Correct answer is A
<em />
The answer is <span>1) ± √x+81
</span>
Step 1: Substitute y for f(x). <span>
Step 2: </span>Since every (x, y) has its partner (y, x)y switch x and y.
Step 3: <span>Solve for y.
Step 1.
The function is: f(x) = x</span>² - 81
Substitute y for f(x): y = x² - 81
Step 2.
Switch x and y: x = y² - 81
Step 3.
Solve for y (which is now f⁻¹(x)): f⁻¹(x) = y
x = y² - 81
y² = x + 81
y = +-√(x+81)
Therefore, the choice 1) is correct.
Answer:
y = 182
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 112 when x = 8
k = 
= 
= 14
y = 14x ← equation of variation
When x = 13, then
y = 14 × 13 = 182
Answer: The answer is 
Step-by-step explanation: We are given to find the value of 
Here, we will be using the following properties of logarithm.
So, we will be solving the given problem using these two as follows.
Thus, the required value is
Answer:
about 3.2 gallons. (3.2, 12)
Step-by-step explanation:
If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12)
