Prime numbers : 3, 29
Factors of 3 : 1, 3
Factors of 29 : 1, 29
Composite numbers : 6, 15, 24
Factors of 6 : 1, 2, 3 , 6
Factors of 15 : 1, 3 , 5, 15
Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24
X=((log(225000/200000)/log(1.03))
X=log(225,000÷200,000)÷log(1.03)
X=3.98 years
Given:
A figure of a triangular prism.
Height of triangular base = yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:
Putting and h=4 in (i), we get
The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
Answer:
The probability of using one or the other is 36%
Step-by-step explanation:
For solving this problem it is easy if we see it in a ven diagram, for this first we are going to name the initial conditions with some variables:
Probability of passing Professor Jones math class = 64% =0,64
P(J) = 0.64
Probabiliry of passing Professor Smith's physics class = 32% =0.32
P(S) = 0.32
Probability of passing both is = 30% = 0.30
P(JnS) = 0.30 (Is is an intersection so it is in the middle of the ven diagram
We need to know which is the probability of pasing one or the other for this we need to take out the probability of passing both for this we have to add the probability of passing Professor Jones math class with the probabiliry of passing Professor Smith's physics class and substract the probability of passing both for each one:
P(JuS) = (P(J) - P(JnS)) + (P(S) - P(JnS)) = (0.64 - 0.30) + (0.32 - 0.30) = 0.34 + 0.02 = 0.36 = 36%
If you check the ven diagram you can see that if we add all what is in red we will have the probability of passing Professor Jones math class and if we add all what is in blue we wiill have the probability of passing Professor Smith's physics class, and if we add just what is in each corner we will get the same value that is the probabilty of passsing one or the other.
The correct answer is b) 2