Given:
Length of rectangle = (x+10) cm
Width of the rectangle = x cm
Perimeter = 32 cm
To find:
The length of the rectangle.
Solution:
We know that,

Where, l is length and w is width.
Substituting the values, we get



Subtract 20 from both sides.


Divide both sides by

So, the length is

Therefore, the length of the rectangle is 13 cm.
THIS IS THE COMPLETE QUESTION BELOW;
The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation of 425 dollars and an unknown population mean. A random sample of 22 sociologists is taken and gives a sample mean of 1520 dollars.
Find the margin of error for the confidence interval for the population mean with a 98% confidence level.
z0.10 z0.05 z0.025 z0.01 z0.005
1.282 1.645 1.960 2.326 2.576
You may use a calculator or the common z values above. Round the final answer to two decimal places.
Answer
Margin error =210.8
Given:
standard deviation of 425
sample mean x=1520 dollars.
random sample n= 22
From the question We need to to calculate the margin of error for the confidence interval for the population mean .
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
Alright so
5^4m = 5^12
cancel the bases
4m=12
divide by 4
m=3
Answer:
1/2 of the lasagna was left or 6/12
Step-by-step explanation:
Her family ate 1 whole pan of the first lasagna and 1/2 of the second pan. If they ate 1/2 from the second pan then there will be 1/2 left or in this case 6/12 because she cut it in 12 pieces.
Hope this helped :)
Answer:
12+3-4+1=12
Step-by-step explanation: