Multiply 8 the numerator and denominator to the second one.
12/1
8(12/1)
96/8
Now they have the same denominators.
A. 55mph x 4.5hrs which makes since because mph is miles per hour, so I drove 55miles every hour.
Answer and Step-by-step explanation:
A) Probability of taken two odd numbered token without replacement:
P(3) = 2/5 = 0.4
P(7) = 1/4 = 0.25
Construct a probability distribution:
X 3 7
p(X) 0.4 0.25
B) Mean of the probability distribution:
E(X) = ∑xp
E(X) = 3*0.4 + 7*0.25
E(X) = 2.95
Variance of the probability distribution:
V(X) = ![\Sigma X^{2}p - [E(X)]^{2}](https://tex.z-dn.net/?f=%5CSigma%20X%5E%7B2%7Dp%20-%20%5BE%28X%29%5D%5E%7B2%7D)
V(X) = 
V(X) = 7.1475
<u>Mean</u><u> and </u><u>variance</u><u> of the probability distribution are </u><u>2.95</u><u> and </u><u>7.145</u><u>, respectively.</u>
Answer:
C = 13
Step-by-step explanation:
A²+B²=C²
where c is the hypothenuse
5²+12²=c²
25+144=c²
169=c²
√169 = c
13 = c
we are given
differential equation as

we are given

Firstly, we will find y' , y'' and y'''
those are first , second and third derivative
First derivative is

Second derivative is


Third derivative is


now, we can plug these values into differential equation
and we get

now, we can factor out common terms

we can move that term on right side

now, we can factor out


now, we can set them equal





so, we will get
...............Answer