Answer:
Therefore, the conclusion is valid.
The required diagram is shown below:
Step-by-step explanation:
Consider the provided statement.
Premises: All good students are good readers. Some math students are good students.
Conclusion: Some math students are good readers.
It is given that All good students are good readers, that means all good students are the subset of good readers.
Now, it is given that some math students are good students, that means there exist some math student who are good students as well as good reader.
Therefore, the conclusion is valid.
The required diagram is shown below:
Answer:
Step-by-step explanation:
let r be radius of the cylinder.
volume of cylinder=πr²h
1728π=πr²×12
r²=1728 π/12π=144
r=√144=12
diameter=2r=2×12=24 cm
Answer:
When we have a rotation about a given point, the distance between the rotated point and the axis of rotation will remain constant, the only thing that changes is the coordinates of the point.
This tell us that the main measures of any rotated shape will not change.
Then the side lengths will remain constant, this implies that the area also remains constant, and this also means that the angle measures should remain the same.
And because the perimeter is equal to the sum of all the side lengths, the perimeter also remains the same.
The only thing that changes will be the coordinates of our polygon.
Answer:
0.3907
Step-by-step explanation:
We are given that 36% of adults questioned reported that their health was excellent.
Probability of good health = 0.36
Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.
Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.
i.e. 
Formula :
p is the probability of success i.e. p = 0.36
q = probability of failure = 1- 0.36 = 0.64
n = 11
So,
Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907
Answer:
k = 79
Step-by-step explanation:
3(k-99) = -60
(k-99) = -20
k= -20+99
k=79
