Answer:
a=41.8 BC=2.8
Step-by-step explanation:
sin30/6=sinx/8
8*sin30=6sinx
4=6sinx
sin^-1(4/6)
angle a
cosine rule
bc^2=3^2 +5^2-2(3)(5)*cos30
BC^2=
BC=2.83
2.8
Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly descri
1 answer:
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Answer:
x = -2 or -9
Step-by-step explanation:
You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).
<h3>Slope</h3>The slope of a line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the formula, the slopes of the two lines are ...
m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)
and
m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)
<h3>Perpendicular lines</h3>The slopes of perpendicular lines have product of -1:
The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.
Answer:
(a) The value of P (X > 10) is 0.3679.
(b) The value of P (X > 20) is 0.1353.
(c) The value of P (X < 30) is 0.9502.
(d) The value of x is 30.
Step-by-step explanation:
The probability density function of an exponential distribution is:
The value of E (X) is 10.
The parameter λ is:
(a)
Compute the value of P (X > 10) as follows:
Thus, the value of P (X > 10) is 0.3679.
(b)
Compute the value of P (X > 20) as follows:
Thus, the value of P (X > 20) is 0.1353.
(c)
Compute the value of P (X < 30) as follows:
Thus, the value of P (X < 30) is 0.9502.
(d)
It is given that, P (X < x) = 0.95.
Compute the value of <em>x</em> as follows:
Take natural log on both sides.
Thus, the value of x is 30.