Answer:
26,812 ft
Step-by-step explanation:
The drawing given is very helpful in this case. When solving problems like this, it's important to realize what trigonometric ratio we're going to use. From the given angle (50°), we are given the hypotenuse (35,000 ft) and we're trying to solve for the opposite side ().
So since we're trying to find the opposite side side and we have the hypotenuse, we should try to find a trigonmetric ratio between the opposite side and the hypotenuse. Using SOH-CAH-TOA, hopefully you can see that we should pick SOH (i.e. ). Therefore, we can set up our equation given the angle .
Since we're solving for , we can just rearrange to get
Therefore, the plane's altitude is 26,812 ft.
Answer:
Step-by-step explanation:
The formula for determining confidence interval is expressed as
Confidence interval
= mean ± z × s/ √n
Where
z is the value of the z score
s = standard deviation
n = sample size
a) The 95% confidence level has a z value of 1.96
The 99% confidence level has a z value of 2.58
Since 99% confidence level z value is greater than 95% confidence level z value, if we input it into the formula, it will result to a higher confidence interval. So changing from a 95% confidence level to a 99% confidence level would make a confidence interval wider.
b) The √15 is smaller than the √350. This means that if we make use of the formula, √350 will give a lower confidence interval than that of √15. Therefore, the confidence interval would be narrower changing from a sample size of 15 to a sample size of 350.
c) Applying the formula, a standard deviation of 15 pounds would result to a lower confidence interval than a standard deviation of 20 pounds. Therefore, the confidence interval would be wider changing from a standard deviation of 15 pounds to a standard deviation of 20 pounds.
When you look at the expression, 54 + 27, what do the two addends have in common?The first thing I notice is that 54 = 2(27), which means that 27 is a factor of both. Since, 27 is actually one of the addends, it's the greatest factor of 27 and therefore the greatest common factor. So,54 + 27 = 27(2+1)54 + 27 = 27(3)
Answer:
c
Step-by-step explanation:
Answer:
14:15
Step-by-step explanation: By reading the sentence carefully you should be able to get the first number and the second number. The sentence should tell you how to set it up.