First of all in order for us to figure out what angle x is we need to find the formula for finding that specific type of angle.
Formula is...
x = (far arc - close arc) ÷ 2
Now we just need to plug in.
x = (172° - 52°) ÷ 2 =
x = 120° ÷ 2 = 60°
Your answer: x = 60°
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Answer:
The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes
Step-by-step explanation:
We have the standard deviation for the sample, but not for the population, so we use the students t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 35 - 1 = 35
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of
). So we have T = 2.0322
The margin of error is:
M = T*s = 2.0322*30 = 60.97
The upper end of the interval is the sample mean added to M. So it is 204 + 60.97 = 264.97
The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes
If the second equation is y=-3x+4 then they would be parallel and I found that by turning the first equation into y=mx+b and you subtract x from both sides of the equation and get -3y=-x+15 and then you divide both sides of the equation by -3 to get the y by itself and that turns into y=1/3x-5 and since 1/3 is the reciprocal of -3 they are perpendicular.
Answer:
x = 25% percent decrease
Step-by-step explanation:
For this problem we will use percentage calculation and make proportion:
Initial value 56 points is worth 100%
Second value 56 - 42 = 14 points of decrease is worth x%
56 : 14 = 100 : x
When we multiply external and internal members we get:
56 · x = 14 · 100 => x = 1400/56 = 25%
x = 25% percent decrease
God with you!!!