Answer:
p value from chi square = 0.081
Step-by-step explanation:
Given that sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 people listen to the classic music. Let denote the proportion of the classic music lovers. The hypotheses are H0: p=0.05 vs Ha: p≠0.05
p value = 0.09
Instead of this if we do chi square
H0: Proportion of music lovers is 5% and non music lovers is 95%
Ha: Proportions are not as per the estimate
(Two tailed chi square test)
Observed 83 1917 2000
Expected 100 1900 2000
O-E -17 17 0
chi square
(O-E)^2/E 2.89 0.1521 3.0421
df =1
p value from chi square = 0.081
Though p value is not exactly the same, the conclusion in both tests are the same
1. The function

is a parabola of the form

. The the formula for the axis of symmetry of a parabola is

. We can infer from our function that

and

, so lets replace those values in our formula:





We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:



or


or

From our previous point we know that the ball reaches its maximum time at

, which means that <span>
it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>
Answer:
1.248
Step-by-step explanation:
6/5 ⇒ 1.2
25/24 ⇒ 1.041666666666667 or approximately 1.04
1.2 * 1.04
= 1.248
Answer:
Step-by-step explanation:
At the lying lemon used car company each salesperson makes $5.75 per hour and receives 6 1/2% commission on sales. Converting
6 1/2% to decimal, it becomes 6.5%
If a Salesperson worked for 8 hours, the amount that he would earn would be
8 × 5.75 = $46
If the salesperson sold a car for $9290, his commission would be
6.5/100 × 9290 = 0.065 × 9290 = $603.85
Total amount that the sales person would earn is
46+ 603.85 = $649.85