I will really appreciate the help because i’m stuck and need this as soon as possible This problem uses the notion that to find the closest distance from a point to a line we need the perpendicular line joining them. The idea is that the plane is heading in some direction, if we treat the takeoff point as the origin (0,0), we can make an equation of a line to the destination. Then we need to take the slope of that line, find its negative reciprocal to build a perpendicular slope, and then use that new perpendicular slope and the point where the mountain is to make a NEW line. Then we find the intersection of these two lines, a system of equations, (preferably by an algebraic process like substitution or elimination) to find the time at which the plane will be closest to the mountain on its path toward its destination.
the problem:
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 245 km south and 237 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800km / hr how long after you depart JBLM will you be the closest to Mt. Rainier?
______minutes
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Answer:
We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.
Step-by-step explanation:
The null Hypothesis: Geographical distribution of hotline callers could be the same as the U.S. population distribution
Alternative hypothesis: Geographical distribution of hotline callers could not be the same as the U.S. population distribution
The populations considered are the Midwest, South, Northeast, and west.
The number of categories, k = 4
Number of recent calls = 200
Let the number of estimated parameters that must be estimated, m = 0
The degree of freedom is given by the formula:
df = k - 1-m
df = 4 -1 - 0 = 3
Let the significance level be, α = 5% = 0.05
For α = 0.05, and df = 3,
from the chi square distribution table, the critical value = 7.815
Observed and expected frequencies of calls for each of the region:
Northeast
Observed frequency = 39
It contains 18.1% of the US Population
The probability = 0.181
Expected frequency of call = 0.181 * 200 = 36.2
Midwest
Observed frequency = 55
It contains 21.9% of the US Population
The probability = 0.219
Expected frequency of call = 0.219 * 200 =43.8
South
Observed frequency = 60
It contains 36.7% of the US Population
The probability = 0.367
Expected frequency of call = 0.367 * 200 = 73.4
West
Observed frequency = 46
It contains 23.3% of the US Population
The probability = 0.233
Expected frequency of call = 0.233 * 200 = 46
Where observed frequency
Expected frequency
Calculate the test statistic value, x²
Since the test statistic value, x²= 5.535 is less than the critical value = 7.815, the null hypothesis will not be rejected, i.e. it will be accepted. We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.
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Answer:
Answer is (b) The worker with 40 hours of training is paid $1400 per month
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i thing the answer is D the last chart
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Answer:
74.7
Step-by-step explanation:
50+24.7=
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Answer:
19
Step-by-step explanation:
In the first number, they add three and that number is repeated.
To further explain, the series would continue like this:
7, 10, 10, 13, 16, 16, 19, 22, 22...
Hope this helps! Brainliest would be appreciated!