Answer:
$1800
Step-by-step explanation:
1. Approanch
An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.
2. Solving
Original salary; 1500
Raise; 20%
<u>a. convert the raise as a percent into a decimal, then add 1</u>
20% = 0.2
0.2 + 1 = 1.2
<u>b. multiply the number by the original salary</u>
1.2 * 1500
1800
Answer:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of 
.
They randomly survey 387 drivers and find that 298 claim to always buckle up.
This means that 
84% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Answer: Student X and Y
Step-by-step explanation:
Student W started off correctly as they simplified the first expression and got rid of the parentheses.
Student Z also started off correctly as they simplified the second expression and combined the like terms.
I don’t see what students X and Y did as their first step but I hope this helps. Sorry if it doesn’t
Answer:
22.95 kg
Step-by-step explanation:
Let's say the farm stand owner starts with x kg of apples.
During the first hour, he sells 15% of the apples:
0.15 x
This means he's left with 85% of the original apples. During the second hour, he sells 20% of the remaining apples:
0.20 (0.85 x)
= 0.17 x
He's sold a total of 15% + 17% = 32% of the apples, so he's left with 68% of the apples. Continuing the pattern, the apples sold during the third hour:
0.25 (0.68 x)
= 0.17 x
He's sold 49% of the apples and is left with 51%. The apples sold during the fourth hour:
0.30 (0.51 x)
= 0.153 x
If 0.17 x = 25.5, then x = 150. So the apples sold during the fourth hour is:
0.153 (150) = 22.95
