Answer:
Step-by-step explanation:
Reflecting on the x-axis is multiplying the formula by a -1. That is, the resulting form is pointing up. When translated to the left 3 units, the tip of the graph is at the point (-3,0). Then when shifted 4 units up the tip is at (-3,4). Dilated by a factor of 4 will affect the values in x, but not the values in y. So the tip remains at the point (-3,4) which corresponds to the second graph
The problem says that V(x)
varies directly with its length. This is a proportionality problem. So, V(x) =
kl. If you are given a length of 25 inches and a k (proportionality constant)
of 15, you are required to find its volume V(x).
V(x) = kl
V(x) = (15) (25 inches)
<u>V(x) = 375 cubic inches</u>
<span>
The volume of the box is 375
cubic inches.
</span>
Answer:
0.25 = 25% probability that it will rain today and ruin your picnic
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Cloudy skies
Event B: Rain
20% of all days start with clouds in the air
This means that 
50% of rainy days start with rain clouds in the air
50% of 10%. So
What is the probability that it will rain today and ruin your picnic
0.25 = 25% probability that it will rain today and ruin your picnic
All the factors of 32 include: 1,2,4,8,16,32
Hope this helps! (:
