Answer:
six raised to the one twelfth power
Step-by-step explanation:
The cubed root of 6/the fourth root of 6 equals (6^1/3)/(6^1/4)
6^((1/3)-(1/4))
6^((4-3)/12)
6^1/12
Answer:
1.6%
Step-by-step explanation:
The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as
F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x
z = (x-μ)/σ,
where:
x is the raw score = 205
μ is the population mean, = 220 pounds
σ is the population standard deviation = 7 pounds
205 -220/7
z = -15/7
z = -2.1428571429
Using the normal cdf function on your graphing calculator,the cumulative distribution is
normalcdf( -2.1428571429, 100)
= 0.01606229
In percent form = 0.01606229 × 100
= 1.6%
To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:
y = 3x + b,
where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:
16 = 3(5) + b
16 = 15 + b
1 = b
Then, we should substitute in this value into our equation and check our work.
y = 3x + 1
If we plug in the other points, this equation yields a true statement, so we know it is correct.
Hope this helps!
Answer: y > 2x + 1
Step-by-step explanation:
In the graph first, we can see two things:
The line is not solid (so the values in the line are not included), and the shaded part is above, so we will be using the symbol:
y > f(x)
Now, in the line we can see that when x = 0, y = 1.
So the linear equation must be something like:
f(x) = a*x + 1
The only one that has an y-intercept equal to 1 is y > 2x + 1
Answer:
Expenditure x (in hundreds of dollars) = $2,000
Step-by-step explanation:
Given:
Profit p (in hundreds of dollars)
Expenditure x (in hundreds of dollars)
p(x) = -0.5x² + 20x + 23
Find:
Expenditure for advertising .
Computation:
x = -(Cofficient of x) / 2(Cofficient of x²)
x = -(20) / 2(-0.5)
x = 20
Expenditure x (in hundreds of dollars) = 20 × $100
Expenditure x (in hundreds of dollars) = $2,000
