82.15 / 31 = 2.65 per gallon
Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
Answer:
Option C) Critical value is based on the significance level and determines the boundary for the rejection region
Step-by-step explanation:
Critical Value:
- In hypothesis testing, a critical value is a point that is compared to the test statistic
- It is used to determine whether to reject the null hypothesis or accept the null hypothesis.
- If the absolute value of your test statistic is greater than the critical value,we fail to accept the null hypothesis and reject it.
- Critical value is affected by the significance level of the testing.
- It is the value that a test statistic must exceed in order for the the null hypothesis to be rejected.
Thus, option C) is the correct interpretation of critical values.
Option C) Critical value is based on the significance level and determines the boundary for the rejection region
answer = ) 100.80
Step-by-step explanation:
I subtracted the people who payed on the 1st of the month which was 4 from the total 12 memebers. I got 8, then that 8 payed on the 2nd of the month so I multiplied 8 by 12.60