Answer: B) 4.963±0.019.
Step-by-step explanation:
Confidence interval for population mean ( when population standard deviation is not given) is given by :-
, where
= Sample mean
n= Sample size
s= sample standard deviation
t* = critical t-value.
As per given:
n= 50
Degree of freedom = n-1 =49

s= 0.067 lb
For df = 49 and significance level of 0.05 , the critical two-tailed t-value ( from t-distribution table) is 2.010.
Now , substitute all values in the formula , we get

Hence, a 95% confidence interval for the mean weight (in pounds) of the mulch produced by this company is
.
Thus , the correct answer is B) 4.963±0.019.
Answer: Distance traveled divided by rate provides the rate of change in position in time. For example, if Cole traveled 225 km at 45 km per hour and traveled 45/225 = 5 hours, then the rate of change in position was 30/5 = 20 minutes.
Step-by-step explanation:
Answer: D the difference of z and y must be 1/2x
Step-by-step explanation:
The percentage increase from 5 laps of race on the first day to 9 laps after several weeks is 80%
<h3>How to determine the percentage increase?</h3>
The distance ran are given as:
Initial = 5 laps
Final= 9 laps
The percentage increase is calculated using:
Percentage = (Final - Initial)/Initial
So, we have:
Percentage = (9 - 5)/5
Evaluate
Percentage = 0.8
Express as percentage
Percentage = 80%
Hence, the percentage increase is 80%
Read more about percentage increase at:
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Answer:
see explanation
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Consider the given equations
3x - 4y = 12 ( subtract 3x from both sides )
- 4y = - 3x + 12 ( divide terms by - 4 )
y =
x - 3 ← in slope- intercept form
with slope m = 
3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )
y = -
x + 4 ← in slope- intercept form
with slope m = - 
Then
× -
= - 1
Since the product of their slopes = - 1 then the lines are perpendicular