The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying 
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying 
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere 
cubic cm.
The volume of the half-sphere 
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume 
cub cm. This is closest to the third option 385.17 cubic centimeters.
Answer:
maybe y - -3x = -11?
Step-by-step explanation:
im rushing so i may have did it wrong sorry
Answer: a. , c. , d., e.
Step-by-step explanation:
A variable that counts how many times a certain event occurs in a particular number of trials is known as binomial random variable.
For each trial, there exist only two outcomes .
The probability of for each event is the same on each trial.
a. Event has two outcomes with same probability as 0.50, therefore the random variable represents the total number of flips required to get tails is a binomial random variable.
b. Total guidelines are 5.
Here total outcomes are not 2 , it does not meet with the conditions of binomial.
c. The random variable represents the total number of children from this pair of parents with blue eyes has two outcomes (where has or not.)
also, the probability of having blue eyes is same in each trial, so it represents binomial random variable.
d. The random variable represents the total number out of 567 customers with a checking account has two outcomes (checking or savings).
So, it represents binomial random variable.
e. The random variable represents the total number of ace cards observed has two outcomes ( ace or not ace).
So it represents the binomial random variable.
Answer:
p = 14
Step-by-step explanation:
18 = p + 4
Subtract 4 from both side, you got:
18-4 = p + 4 - 4
14 = p + 0
p = 14
Hope this help you :3
Answer:
1/3
Step-by-step explanation:
slope is just change in y over change in x
on a graph this can be found by counting the change in units
look at the point at (-3,0)
find the change in y by starting at that point and counting up or down until you reach another point.
the next point (-4,-3) is three units down (change of -3)
now go back to the first point and count left or right until you reach the other point to get change of x
the other point is one unit left (change of -1)
change of y over change of x = -1/-3=1/3
