Answer:

Step-by-step explanation:
Let the exponential function be

We substitute (0,9) to get:



The equation now becomes:

We substitute (3,72) to get:



The equation is therefore

Answer:
a
The 95% confidence interval is 
b
The sample proportion is 
c
The critical value is 
d
The standard error is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of defective is k = 18
The null hypothesis is 
The alternative hypothesis is 
Generally the sample proportion is mathematically evaluated as

Given that the confidence level is 95% then the level of significance is mathematically evaluated as



Next we obtain the critical value of
from the normal distribution table, the value is

Generally the standard of error is mathematically represented as

substituting values


The margin of error is

=> 
=> 
The 95% confidence interval is mathematically represented as

=> 
=> 
Answer:
The 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).
Step-by-step explanation:
A confidence interval is an interval estimate of the population parameter. The confidence interval has a certain probability of consisting the true value of the parameter.
The (1 - <em>α</em>) % confidence interval for the population proportion (<em>p</em>) is given by:

The information provided is:

*Use a <em>z</em>-table for the critical value.
Construct the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies as follows:

Thus, the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).
<em> 24 mph</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>Vm = 21mph</em>
<em>V1 = 18mph</em>
<em>V2 = ?</em>
<em>Vm = (V₁ + V₂)/2</em>
<em>2Vm = V₁ + V₂</em>
<em>V₂ = 2Vm - V₁</em>
<em>replace Vm ; V₁</em>
<em>V₂ = 2×21mph - 18mph</em>
<em>= 42mph - 18mph</em>
<em>= 24 mph</em>
<em>Good luck !</em>
Answer:
1)- Variable utilities cost per machine hour = 1.6 per machine hour
2)- Fixed cost = 1740
3)-Total cost on 1220 Machine hour will be
= 3692
Step-by-step explanation:
1) CALCULATE VARIABLE UTILITIES COST PER MACHINE HOUR :
Variable utilities cost per machine hour = Change in cost/high machine hour-low machine hour
=4076-3388/1460-1030
Variable utilities cost per machine hour = 1.6 per machine hour
2) Fixed cost = Total cost-variable cost
= 3388-(1030*1.6)
Fixed cost = 1740
3) Total cost on 1220 Machine hour will be (1220*1.6+1740) = 3692