Answer:
d = 0.0625 m
Step-by-step explanation:
The velocity of an object dropped from a tall building is given by :
Where
d is the distance in feet
We need to find the distance when the velocity is 32 ft/s
Rearranging for d,
Put v = 32 ft/s
So, the required distance is 0.0625 m.
Answer:
Let x represents the week and y represents the seashells
As per the statement:
Dora has 10 seashells and plans to add 2 shells every week.
"2 shells every week" means 2x
⇒y = 10 + 2x
It is also given, Jerri has 4 seashells and plans to add 5 shells every week.
"5 shells every week" means 2x
⇒ y = 4 + 5x
The system of equation would be used:
y = 10 + 2x
y = 4 + 5x
Since, the girls have the same number of seashells
⇒
Subtract 4 from both sides we get;
Subtract 2x from both sides we get;
Divide by 3 both sides we have;
x = 2 weeks.
Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.
Answer:
The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.
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:
A confidence interval has two bounds, the lower and the upper
Lower bound:
Upper bound:
In this problem, we have that:
Lower bound:
Upper bound:
The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.