Total no. of hours you spent biking = 2 hours
the speed at which you rode your bike ≤ 17.6 mph
Now,
We have,
So, you for given conditions, you can't travel more then 35.3 miles
So, the inequality for the given circumstances is:
x ≤ 35.2
Let's check your answer. To do this, you would simply plug your answer into the equation and see if it works.
5(y - 3) - 2 (3 - 2y) = 6
5(3 - 3) - 2(3 - 2 × 3) = 6
The equation works!
Y = 3
Great work!
Answer:
option-C
terminal
Step-by-step explanation:
We know that
reference angle is between terminal side and x-axis
so, the other side will be terminal position
so, we can write as
The positive acute angle formed by the <u>terminal</u> side of an angle in standard position and the x-axis is called a reference angle.
So,
option-C
terminal
Answer:
The minimum sample size needed is 125.
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 zscore that has a pvalue of 
.
The margin of error is:
For this problem, we have that:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?
This minimum sample size is n.
n is found when 
So
Rounding up
The minimum sample size needed is 125.
