Answer: 6/14 and 42/99
Step-by-step explanation:
Answer:
804 feet
Step-by-step explanation:
Given: Dimension of a basketball court is 84 feet by 50 feet.
Considering the shape of basketball court is in rectangle shape.
∴ Finding the perimeter of rectangle to know total number of feet in one round.
Perimeter of rectangle= 
where, l= length
w= width
∴ Perimeter of rectangular court= 
⇒ Perimeter of rectangular court= 
Opening parenthesis
⇒ Perimeter of rectangular court= 
Hence, Brett run 268 feet in one round of warm up.
As given, Brett ran around the court 3 times.
∴ Total number of feet= 
Hence, Brett jog for 804 feet.
Answer:
1) Increase the sample size
2) Decrease the confidence level
Step-by-step explanation:
The 95% confidence interval built for a sample size of 1100 adult Americans on how much they worked in previous week is:
42.7 to 44.5
We have to provide 2 recommendations on how to decrease the margin of Error. Margin of error is calculated as:

Here,
is the critical z-value which depends on the confidence level. Higher the confidence level, higher will be the value of critical z and vice versa.
is the population standard deviation, which will be a constant term and n is the sample size. Since n is in the denominator, increasing the value of n will decrease the value of Margin of Error.
Therefore, the 2 recommendations to decrease the Margin of error for the given case are:
- Increase the sample size and make it more than 1100
- Decrease the confidence level and make it lesser than 95%.
Simplifying
8a + 12b = 92
Solving
8a + 12b = 92
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-12b' to each side of the equation.
8a + 12b + -12b = 92 + -12b
Combine like terms: 12b + -12b = 0
8a + 0 = 92 + -12b
8a = 92 + -12b
Divide each side by '8'.
a = 11.5 + -1.5b
Simplifying
a = 11.5 + -1.5b