Look at the picture.
ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:

DC = x
ZX = 16
DY = a
ZY = a + a = 2a
Substitute:

 <em>multiply both sides by 16</em>
       <em>multiply both sides by 16</em>

<h3>Answer: CD = 8</h3>
 
        
             
        
        
        
Answer:o
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Polynom degree: 5
Y intercept point: (0, 80)
Step-by-step explanation:
P(x)=(x+5)(x+4)²(x+1)²
When you expand, the highest power of x is 1 for first term (x+5), 2 for second term (x+4)² and again 2 for (x+1)². Overall, x⁵ will be the x term with highest power. So the degree of the polynom is 5.
The y intercept, i.e. intersection with OY axis, happens for x=0. Thus, P(0)=5×4²×1²=5×16=80. The y intercept point is (0, 80)
 
        
             
        
        
        
Answer:
The 95% confidence interval for the population variance is (8.80, 32.45).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population variance is given as follows:

It is provided that:
<em>n</em> = 20
<em>s</em> = 3.9
Confidence level = 95%
⇒ <em>α</em> = 0.05
Compute the critical values of Chi-square:

*Use a Chi-square table.
Compute the 95% confidence interval for the population variance as follows:


Thus, the 95% confidence interval for the population variance is (8.80, 32.45).