Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form would be or look like
x=9/5, -3/5
Answer:
solution given;
let
AB=a
AC=b=30ft
AB=c=20ft
<A=115°
By using Cosine rule.
a²=b²+c²-2bc cos angle
a²=30²+20²-2*30*20 Cos 115°
a²=1807.1419
a=√[1807.1419]
a=42.51
Side A is 42.51ft.
Again
Cos B=
Cos B=
Cos B=0.7687
<B=Cos -¹(0.7687)
<B=39.46°
Angle B is 39.46
Answer:
1/14
Step-by-step explanation:
1 - 5/7 = 7/7 - 5/7 = (7-5)/7
Subtract. 7 - 5 = 2
= 2/7
Now we have to multiply 2/7 and 1/4
We get 2/7 x 1/4 = <em>1/14</em>
Answer:
y=-2x+1
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of one another. slope 1/2 perpendicular will be -2/1=-2
y-5=-2(x-(-2))
y-5=-2(x+2)
y-5=-2x-4
y=-2x-4+5
y=-2x+1
Answer:
(a) 0.2061
(b) 0.2514
(c) 0
Step-by-step explanation:
Let <em>X</em> denote the heights of women in the USA.
It is provided that <em>X</em> follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.
(a)
Compute the probability that the sample mean is greater than 63 inches as follows:

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.
(b)
Compute the probability that a randomly selected woman is taller than 66 inches as follows:

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.
(c)
Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.