Answer:

Step-by-step explanation:
Given

-- City C
--- City K
Required
Determine the 90% confidence interval
This is calculated using:

Calculating 




For a 90% confidence level, the z-score is 1.65. So:

Calculating the standard deviation 

So:


So:


Answer:
36.9 m
Step-by-step explanation:
h(t) = -4.9t² + 25t + 6
At t = 3:
h(3) = -4.9(3)² + 25(3) + 6
h(3) = -44.1 + 75 + 6
h(3) = 36.9
After 3 seconds, the ball will have a height of 36.9 meters.
Answer:
1
Step-by-step explanation:
Use PEMDAS to solve the equation, and you will get the answer 1 for x
Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
- √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
- √9 simplifies to 3, so it is 3√5
Now we can simplify the operation in the parenthesis by combining like terms:
- 3√5 + √5
- √5 + √5 + √5 + √5
- 4√5
Now using the same rule as above, we can multiply the values:
Your solution is 4√10