Answer:
x = 3
Step-by-step explanation:
8z = 2x + 18
6x = 18
x = 3
 
        
                    
             
        
        
        
Answer:
32 cubic inches
Step-by-step explanation:
4^3= 64
64/2= 32
 
        
             
        
        
        
Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
 is the sample proportion. is the sample proportion.
In this problem, we have a 90% confidence level, hence , z is the value of Z that has a p-value of
, z is the value of Z that has a p-value of  , so the critical value is z = 1.645.
, so the critical value is z = 1.645.
The sample size and the estimate are given by:

Hence, the bounds of the interval are given by:


The 90% confidence interval is given by: (0.6350, 0.6984).
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1
 
        
             
        
        
        
Answer:
He will have $276.10 available towards the down payment for his motorcycle
Step-by-step explanation:
The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:

Compounded quarterly, so n = 12/4 = 3.
We have to find A.



He will have $276.10 available towards the down payment for his motorcycle
 
        
             
        
        
        
5
Mark brainliest please 
Hope this helps you