Answer: 0.4016
Step-by-step explanation:
Let x be a random variable that represents the height of women in a country.
Mean : inches
Sample size : n= 65
Standard deviation:
The probability that the mean height for the sample is greater than 65 inches =
Hence, the probability that the mean height for the sample is greater than 65 inches = 0.4016
Answer:
The expression which is equivalent to (k ° h)(x) is ⇒ 2nd answer
Step-by-step explanation:
* Lets explain the meaning of the composition of functions
- Composition of functions is when one function is inside of an another
function
# If g(x) and h(x) are two functions, then (g ° h)(x) means h(x) is inside
g(x) and (h ° g)(x) means g(x) is inside h(x)
* Now lets solve the problem
∵ h(x) = 5 + x
∵ k(x) = 1/x
- We need to find (k ° h)(x), that means put h(x) inside k(x)
* Lets replace the x of k by the h(x)
∵ k(x) =
∵ h(x) = 5 + x
- Replace the x of k by 5 + x
∴ k(5 + x) =
∴ The expression which is equivalent to (k ° h)(x) is
Answer: The factor form of the function F(x) is , where
gives two complex roots.
Explanation:
The given function is,
According to the rational root theorem 1 and -1 are the possible roots of each polynomial.
Put x=-1
Since the value of F(x) is 0 at x=-1 therefore the -1 is a root of given polynomial and (x+1) is a factor of F(x).
Use synthetic division method to divide the polynomial by (x+1).
The last row of the synthetic division shows the coefficient of remaining polynomial.
At x=2 the value of F(x) is 0, therefore (x-2) is a factor of F(x).
Use synthetic division method to divide the polynomial by (x-2).
Therefore the roots of F(x) are,
Where factors with real root and
are factors with complex roots.
Answer:
The positive numbers are 51 and 53
Step-by-step explanation:
Let first odd integer be x and another odd integer is (x+2).
According to the given condition,
The product of two positive consecutive odd integers is 2703 i.e.
x(x+2) = 2703
It is a quadratic equation. It can be solved as follows :
x = 51 and x = -53
Neglecting negative sign,
The first number = 51
Another number =(51+2) = 53
Hence, the positive numbers are 51 and 53.