So cos θ = 5/sqrt(26)
adjacent = 5
hypotenuse = sqrt 26
by pythagoras opposite = 1
so sin θ = 1/sqrt (26)
and tan θ = 1/5
Let X be a random variable representing the weight of
strawberries.
<span>
μ= 12</span>
σ= 2.5
Solution:
<span>
P(X < 10) = P(z < (10 - 12)/2.5) </span>
= P(z < -2/2.5)
= P(z < -0.8)
= 1 - P(z < 0.8)
= 1 - 0.7881
= 0.2119
<span>The answer is letter B.</span>
1 feet = 0.3048 m
23 feet = x meter
23×0.3048 = 7.0104 m
The standard equation is y=ax^2+bx+k and the vertex way is y=a(x-h)(x-h)+x
so the coordinate for x is -b/2a, for your problem a=-4 b=-16 so the coordinate for x is -(-16)/(2*(-4))=-2. Now you have to replace x=-2 in your equation y=-4(-2)^2-16(-2)-11= 5.
The vertex is (-2, 5)