Solve 4(x-3) - 2(x - 1) >0. { xl x>-5) {xl x>5] {xl x<-5) {xl x<5}
1 answer:
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Since the figures are similar, we can establish a rule of three as follows.
We know that the area of the smaller figure is
, and its volume is 
. We also know that the area of the larger figure is 
; since we don't now its volume, lets represent it with 
:
We can conclude that the volume of the larger figure is
; therefore, the correct answer is a.
We know that the area of the smaller figure is
We can conclude that the volume of the larger figure is
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes.
We know the formula , Distance = speed * time
Speed is constant and it is 12. So it is linear
The function becomes d = 12t, x is the t is the time and d is the distance
At the starting point, t=0 and distance d=0
End point , t=45 min = 0.75 hours and distance = 12 * 0.75 = 9
So domain (t) is {}
Range (d) is {}
Answer:
P(a junior or a senior)=1
Step-by-step explanation:
The formula of the probability is given by:
Where P(A) is the probability of occurring an event A, n(A) is the number of favorable outcomes and N is the total number of outcomes.
In this case, N is the total number of the students of statistics class.
N=18+10=28
The probability of the union of two mutually exclusive events is given by:
Therefore:
P(a junior or a senior) =P(a junior)+P(a senior)
Because a student is a junior or a senior, not both.
n(a junior)=18
n(a senior)=10
P(a junior)=18/28
P(a senior) = 10/28
P(a junior or a senior) = 18/28 + 10/28
Solving the sum of the fractions:
P(a junior or a senior) = 28/28 = 1