H=-5(t^2 - 16t)
H=-5(t^2 - 16t +64)+320
H=-5(t-8)^2 +320
Vertex is at (8, 320)
The max height is 320 m.
        
             
        
        
        
4x^2 + 2x = -9
4x^2 + 2x + 9 = 0
remember that the form of quadratic is ax^2 + bx + c = 0
so
a = 4
b = 2
c = 9
        
             
        
        
        
Answer:
We accept H₀ , we do not have enought evidence for rejecting H₀
Step-by-step explanation:
Normal Distribution
sample size   n  =   60
standard deviation     σ  =  15
1.Hypothesis Test : Is a one tailed-test on the right
H₀      null hypothesis             μ₀  = 50
Hₐ    alternative hypothesis   μ₀  > 50 
2.-We will do the test for  a significance level   α =  0,01 tht means for a 99% interval of confidence
then z(c)  =  2.32
3.- We compute z(s)  
z(s)  =  [ ( μ - μ₀ ) /( σ/√n )       ⇒  z(s)  =  (  2 * √60 ) / 15
z(s)  = 15.49/15                        ⇒   z(s)  = 1.033
4.- We compare values of  z(c)   and z(s)
z(s)  <  z(c)      1.033 < 2.32
z(s) is in the acceptance region so we accept H₀ , we do not have enough evidence for rejecting H₀
 
        
             
        
        
        
Answer:
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Step-by-step explanation:
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