Answer:
c = 42.5
Step-by-step explanation:
The legs of the triangle are a and b and the hypotenuse is c
Let a be the shorter leg
The hypotenuse is 5 more than the longest leg
c = b+5
The shortest leg is 20
a = 20
We can use the Pythagorean theorem
a^2 +b^2 = c^2
Substituting in what we know from above
20 ^2 + b^2 = (b+5)^2
FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25
400 + b^2 = b^2+10b+25
Subtract b^2 from both sides
400+b&2-b^2 = b^2 -b^2 +10b+25
400 = 10b+25
Subtract 25 from both sides
400-25 = 10b+25-25
375 = 10b
Divide by 10
375/10 = 10b/10
37.5 = b
But we want to find c
c=b+5
c = 37.5+5
c = 42.5
Answer:
a) It is probability distribution
b) mean = 2.5
c) Standard Deviation = 1.11
Step-by-step explanation:
We are given the following in the question:
x 0 1 2 3 4 5
P(x) 0.033 0.149 0.318 0.318 0.149 0.033
Probability distribution:
Since, the summation of all the probabilities is 1 and each value of probability is between 0 and 1, the given is a probability distribution.
Mean of probability distribution:
Thus, the mean of distribution is 2.5
Standard deviation of probability distribution:
Thus, the standard deviation of the probability distribution is 1.11
Answer:
the answer for 2 is 10, 4 is 20, 15 is 3
Explanation:
1:5=1x5
2:10=2x5 and so on
Answer:
x = 180
Step-by-step explanation:
First, you need to know
1. Double-angle formula:
cos(2x) =
2. Pythagorean identity:
Back to your problem, replacing the variable by the above:
By Double-angle formula
By Pythagorean identity
Given
, we know -1 < sinx < 1, for every x ∈ R
Answer:
Step-by-step explanation:
Use the equation of a line: y=mx+b.
First, plug in all of the values that you know. In this case, we are given x, y, and m (the slope).
Now that we have the b value, we can create the equation: