For the first question, simply make a right angle triangle with the following dimensions.
The angle of elevation or the angle from the ground between the first floor and ground is 60 degrees.
The height between the 2 floors is 26 feet.
Solve for the hypotenuse, or the diagonal length between the first and second floors.
Then for the second question, divide the length in feet by the rate to find the time it takes for the object to move.
Answer:
Roland is right, he can be 95% sure that average gas prices have gone up since the same time last year.
Step-by-step explanation:
Let μ be average gas price around Syracuse.
Then hypotheses are:
μ = $2.68
μ > $2.68
Then test statistic can be calculated as:
z=
where
- X is the Roland's calculated average gas prices of 50 gas stations ($2.74)
- M is the average average gas prices in the entire of Syracuse last year
- s is the standard deviation ($0.11)
Then z=
≈ 3.86
Since P-value of test statistic ≈ 0.00006 <0.05 (significance level), we can reject the null hypothesis.
I hope this helps! The data they give you gives you coordinate points that will help you solve the problem!
10, 5, 20, 10, 40, 20, 80, 40, 160, 80,
Next Three Numbers: 20, 80, 40
Pattern: Take half of the first term. 1/2 of 10 = 5 which is the second term.
Next, multiply the second term by 4. 5 times 4 = 20
Divide 20 by 4 to get 10
Multiply 10 by 4 to get 40
---------------
Take half of 40 to get 20 (the first of the three missing terms)
Multiply 20 by 4 to get 80 (the second missing term)
Multiply 80 by 1/2 to get 40 (the third missing term)
