Answer:
Step-by-step explanation:
it is maximum.
when leading coefficient of x² is negative,
It is downward parabola.
or
y=-2x²+10x+1
=-2(x²-5x+(-5/2)²-(-5/2)²)+1
=-2(x-5/2)²+2×25/4+1
=-2(x-5/2)²+25/2+1
=-2(x-5/2)²+27/2
maximum value of y is 27/2 and is attained at x=5/2
vertex is (5/2,27/2)
Given:
mean, μ = 11 lb
Std. deviation, σ = 2.1
Let x = the weight that separates the top 5% of the crop.
The z-score is
z = (x - μ)/σ
= (x - 11)/2.1
From standard z-table for normal distribution,
P(z=1.645) = 0.95
Therefore
(x - 11)/2.1 = 1.645
x - 11 = 1.645/2.1 = 0.7833
x = 11.783
Answer: 11.8 lb (nearest tenth)
Answer:
Division property get you to the quick solution
Solution: 3.4
Step-by-step explanation:
5*(x - 2) = 7
Dividing both sides by 5
5*(x -2)÷5 = 7÷5
x - 2 = 1.4
Adding 2 on both sides, we
x -2 + 2 = 1.4 + 2
x = 3.4
Hope you will understand the concept.
Thank you.
Step-by-step explanation:
Number of areangements = 10C4
= 10 * 9 * 8 * 7 / (1 * 2 * 3 * 4) = 210.
Answer:
A. 0.69
Step-by-step explanation:
We need to use cosine theorem:
c²=a²+b² - 2ab* cos(θ)
c=8, a=7, b=11
8² = 7²+11² - 2*7*11 *cos(θ)
64 = 49 + 121 - 154*cos(θ)
64 - 170 = - 154*cos(θ)
- 106/ (- 154) = cos(θ)
cos(θ) = 0.69
