Answer:
Compatible width of rectangular banquet hall could be 90 feet approximately.
Step-by-step explanation:
Given
Area of a rectangular banquet hall = 7400 square feet
Length of rectangular banquet hall = 82 feet
We need to calculate width of the rectangular banquet hall.
Now Area of rectangle is equal to length times width.
Framing in equation form we get;
Substituting the given values we get;
Now by definition of Compatible numbers which state that:
"Compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally. Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier."
Now By Using width as 90 feet and length as 82 feet we get area as 7380 sq ft. which is closet to actual area which is 7400 sq ft.
Hence we can say compatible width could be 90 feet approximately.
Answer:
Step-by-step explanation:
Given the following quadratic equation:
The steps to solve it are:
1. Move the terms to one side of the equation:
2. Apply the Quadratic formula 
.
In this case we can identify that:
Then, substituting these values into the Quadratic formula we get the following solutions:
Answer:
At least 832 teenargers must be interviewed.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
How many teenagers must the firm interview in order to have a margin of error of at most 0.1 liter when constructing a 99% confidence interval
At least n teenargers must be interviewed.
n is found when M = 0.1.
We have that 
So
Rounding up
At least 832 teenargers must be interviewed.
Answer:
Days- 9
Hours- 208
Minutes- 12,459
Step-by-step explanation:
For minutes,
747,533 ÷ 60 = 12,458.883 ≈ 12,459 minutes
For hours,
60 minutes to pass an hour so, 60 × 60 = 3600 minutes
747,533 ÷ 3600 = 207.648 ≈ 208 hours
For days,
1 day = 24 hours
1 hour = 3600 beats
24 × 3600 = 86400
747,533 ÷ 86400 = 8.652 ≈ 9 days
