In general, the probability that it rains on Saturday is 25%. If it rains on Saturday, the probability that it rains on Sunday i
1 answer:
Answer:
40%
Step-by-step explanation:
From the given statements:
The probability that it rains on Saturday is 25%.
P(Sunday)=25%=0.25
Given that it rains on Saturday, the probability that it rains on Sunday is 50%.
P(Sunday|Saturday)=50%=0.5
Given that it does not rain on Saturday, the probability that it rains on Sunday is 25%.
P(Sunday|No Rain on Saturday)=25%=0.25
We are to determine the probability that it rained on Saturday given that it rained on Sunday, P(Saturday|Sunday).
P(No rain on Saturday)=1-P(Saturday)=1-0.25=0.75
Using Bayes Theorem for conditional probability:
P(Saturday|Sunday)=
=
=0.4
There is a 40% probability that it rained on Saturday given that it rains on Sunday.
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In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.
A figure has been drawn to define the vertices and intersections.
The given lengths are also noted.
From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.
Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.
From triangle A F G, we use Pythagoras theorem to find
h1=A F=sqrt(20*20-12*12)=sqrt(256)=16
From triangle DFG, we use Pythagoras theorem to find
h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5
So the length of the other diagonal equals 16+5=21 cm
Answer:
The volume of cube-shaped block is 0.125 cubic feet.
Step-by-step explanation:
We are given the following in the question:
Edge length of storage container =
Edge length of block =
Putting value we get,
Edge length of block =
Volume of cube-shaped block = Volume of cube
Thus, the volume of cube-shaped block is 0.125 cubic feet.