Answer:
constant of variation = 3
Step-by-step explanation:
we know that b varies jointly with c and d
so:
b∝c∝d
and b varies inversely with e, so
b∝
and i will call the constant of variation k, this way we can make an equation for b in the following form:
this satisfy that b varies jointly with c and d (if b increases, c and d also increase) and inversely with e (if b increases, e decreases)
we know that when b is 18, c is 4, d is 9, and e is 6:
substituting this in our equation for b:
and we solve operations and clear for the constant of variation k:
the constant of variation is 3.
Answer:
1. x = 36 equation is x + 2x + 9 = 117, then solve for x
2. x = 50 equation is x + x + 12 = 112, then solve for x
Step-by-step explanation:
Using the Central Limit Theorem, the correct option is:
(c) Average number of miles put on a rental car per day across 25 customers.
--------------------------
The Central Limit Theorem states that, for a normally distributed variable X, with mean 
and standard deviation 
, the sample means of size m are approximated to a normal distribution with mean and standard deviation 
.
- The interpretation related to this problem is that the larger the sample size, the smaller the standard deviation.
- Thus, among the options, the largest sample is 25, thus, option c will have the smallest standard deviation.
A similar problem is given at brainly.com/question/23088374
Answer:
21/20
Step-by-step explanation:
Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)
One of them is real and the other two are complex conjugate roots
Since the real root is 4, then
x = 4
Since the complex root is (1 - i), then
The other root will be the conjugate of it (1 + i)
x = (1 - i)
x = (1 + i)
To find f(x) we will multiply the three factors of it
We can get the factors from the zeroes
Subtract 4 from both sides
The first factor is (x - 4)
The second factor is (x - 1 + i)
The third factor is (x - 1 - i)
We will multiply them to find f(x)
Multiply it by (x - 4)
The answer is
