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!
25 is the length of x, using the 30-60-90 special triangle method
Answer:
20
Step-by-step explanation:
4 * 1 = 4 5 * 1 = 5
4 * 2 = 8 5 * 2 = 10
4* 3 = 12 5 * 3 = 15
4 * 4 = 16 5 * 4 = 20
4 * 5 = 20
they both go into 20 equally. there is no number lower than 20 that they both go into
Answer:
A
Step-by-step explanation:
Answer:
we get the all equation of given condition 
& 
Step-by-step explanation:
Given that,
Number of painting made by Gloria every month is 2.
Gloria creates depends on the number of paintings p, Gloria paints over m months if she meet her goal.
we have to check all the apply.
According to question,
M is the independent variable and P is dependent variable.
So, Relation formed by given statement is 
Case(1): P is increased by 2 as M is increased by 1.
Then, 
This is Equation of the given case(1).
Again, P is the independent variable and M is dependent variable.
∴ 
Case (2) M is increased by 2 as P increased by 1.
Then, 
Hence,
we get the all equation of given condition &
