Answer:
Volume of the solid is 377 cm³.
Step-by-step explanation:
Volume of the cylinder =
Here, r = radius of the cylinder
h = Height of the cylinder
By substituting the values in the formula, (r = 4 cm and h = 10 cm)
Volume of the cylinder =
= 160π
Since one fourth of the cylinder is removed,
Volume of the remaining cylinder = 160π -
= 160π - 40π
= 120π
= 120(3.14)
= 376.8 cm³
≈ 377 cm³
Volume of the solid is 377 cm³.
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!
