Answer:
Step-by-step explanation:
Hello!
The study variable is:
X: number of customers that recognize a new product out of 120.
There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.
The sample proportion obtained is:
p'= 54/120= 0.45
Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p;
)
The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5
The probability of getting the calculated sample proportion, or lower is:
P(X≤0.45)= P(Z≤
)= P(Z≤-3.35)= 0.000
This type of problem is for the sample proportion.
I hope this helps!
Answer:
22
Step-by-step explanation:
So we have the two functions:
And we want to find (fog)(5). This is the same as:
So, find g(5) first:
Multiply and subtract:
So, we can substitute:
Find the value:
Multiply and subtract:
So:
And we're done!
We have to identify the rational function among the given functions.
Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.
1. Consider the first function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
2. Consider the second function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
3. Consider the third function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
4. Consider the fourth function 
, since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.
So, Option D is the correct answer.
(x+2)(4+y)(5+6)(2+x)(4+0.5x)
combine like terms
(x+2) (4+y) (11) (x+2) (4+.5x)
11(x+2)^2 (4+y)(4+.5x)
distribute
11(x^2 +4x+2) (16+4y+2x+.5xy)
(11x^2+44x+22)(16+4y+2x+.5xy)
5.5 x^3 y + 22 x^3 + 66 x^2 y + 264 x^2 + 198 x y + 792 x + 176 y + 704
Answer:
5
Step-by-step explanation:
in similar figures the side lengths must be proportional:
4/8 = x/10 cross multiply fractions
40 = 8x divide both sides by 8
5 = x
