Given:
The surface area of a right circular cone is 32 sq. cm.
Scale factor for enlargement = 3
To find:
The surface area of the new cone.
Solution:
We know that enlargement of a shape forms a similar shape and area of the similar shapes is proportional to the square of their corresponding sides.
Let the surface area of new cone be A and r be the radius of original cone
By cross multiplication, we get
The surface area of the new cone is 288 sq. cm.
Therefore, the correct option is C.
Answer:
a) 0.00698
b) 0.00127
c) 0.00249
d) (0.00449,0.00947)
Step-by-step explanation:
We are given the following in the question:
Number of people vaccinated, n = 4300
Number of subjects that developed illness after vaccination, x = 30
a) point estimate of the population proportion that were vaccinated with the vaccine but still developed the illness.
b) standard error of this estimate
c) margin of error for a 95% confidence interval
d) 95% confidence interval
Answer:
Step-by-step explanation:
Simple joint probabilites of two independent event. Probability of a head is 1/2. An odd roll of a die is also 1/2. 1/2 x 1/2 = 1/4 or 0.25.
Answer:
2
Step-by-step explanation:
A state has 2 senators, so once you choose the state, there are 2 ways you can choose a senator from that state.
To solve this you can multiply the second equation by to get
3x+6y =18
Then you can subtract it by the first equation to get
7y= 14
And get y= 2
Then you plug in y to one of the equations to find that x=2