Answer:
The expression to determine the total cost in dollars is 
.
Step-by-step explanation:
Given:
Service charge to make a photo book = $20
Cost per extra page = $0.75
Cost to ship the complete photo book = $5
We need to write expression to determine the total cost in dollars.
Solution:
Let the number of extra pages be denoted by 'x'.
Also Let the Total cost be denoted by 'y'.
Now we can say that;
Total cost will be equal to sum of Service charge to make a photo book and Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.
framing in equation form we get;
Hence the expression to determine the total cost in dollars is .
Erin bought 8 pounds of apples, and Katie bought 5.
8-5=3
8+5=13
The cylinder:
pi x r^2 x h
= pi x 8^2 x 20
then times it by a half
= 2009.6
The prism:
l x w
= 32 x 20
= 640
All up:
2009.6 +640
The shape equals 2649.6 cm sqaured
Answer:
- The lowest value of the confidence interval is 0.5262 or 52.62%
- The highest value of the confidence interval is 0.5538 or 55.38%
Step-by-step explanation:
Here you estimate the proportion of people in the population that said did not have children under 18 living at home.It can also be given as a percentage.
The general expression to apply here is;
where ;
p=sample proportion
n=sample size
z*=value of z* from the standard normal distribution for 95% confidence level
Given;
n=5000
<u>Find p</u>
From the question 54% of people chosen said they did not have children under 18 living at home
<u>To calculate the 95% confidence interval, follow the steps below;</u>
- Find the value of z* from the z*-value table
The value of z* from the table is 1.96
- calculate the sample proportion p
The value of p=0.54 as calculated above
Divide the value of p(1-p) with the sample size, n
- Find the square-root of p(1-p)/n
Here multiply the square-root of p(1-p)/n by the z*
The 95% confidence interval for the lower end value is p-margin of error
The 95% confidence interval for the upper end value is p+margin of error
The expression x³ - 64 can be rewritten using difference of cubes is; (x - 4)(x² + 4x + 16)
<h3>How to write an expression as difference of cubes?</h3>
Difference of cubes can be rewritten in the form of;
a³ – b³ = (a – b)(a² + ab + b²)
So in this question, we are given;
x³ - 64 = x³ - (4)³
where a = x and b = 4
This gives us;
(x - 4)(x² + 4x + 4²)
⇒ (x - 4)(x² + 4x + 16)
Read more about difference in cubes at; brainly.com/question/2747971
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