A triangle has a total angle of 180 degrees. Since we know
that angle X = angle N = 20 degrees and angle Y = angle M = 75 degrees,
therefore angle Z or angle L is equal to:
angle L = 180 – 20 – 75
<span>angle L = 85
degrees</span>
Therefore w is:
angle L = 5 (w – 2)
5 (w – 2) = 85
w – 2 = 17
<span>w = 19</span>
Answer:
A. True
Step-by-step explanation:
The empirical rule in statistics states that:
- 68% of the data will be within 1 standard deviation
- 95% of the data will be within 2 standard deviations
- 99.7% of the data will be within 3 standard deviations
So yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.
Answer:
The probability that at least 1 car arrives during the call is 0.9306
Step-by-step explanation:
Cars arriving according to Poisson process - 80 Cars per hour
If the attendant makes a 2 minute phone call, then effective λ = 80/60 * 2 = 2.66666667 = 2.67 X ≅ Poisson (λ = 2.67)
Now, we find the probability: P(X≥1)
P(X≥1) = 1 - p(x < 1)
P(X≥1) = 1 - p(x=0)
P(X≥1) = 1 - [ (e^-λ) * λ^0] / 0!
P(X≥1) = 1 - e^-2.67
P(X≥1) = 1 - 0.06945
P(X≥1) = 0.93055
P(X≥1) = 0.9306
Thus, the probability that at least 1 car arrives during the call is 0.9306.
Answer:
you will get more money if he gives you 1 cent per day then doubles it
Step-by-step explanation:
if your brother gives you 25 cents per day, at the end of 10 days you will have $2.50
if he gives you 1 cent per day then doubles it, this will be your daily earnings:
day 1- 0.01
day 2- 0.02
day 3- 0.04
day 4- 0.08
day 5- 0.16
day 6- 0.32
day 7- 0.64
day 8- 1.28
day 9- 2.56
day 10- 5.12
then when you add all of this up, you would recieve 10.23 cents at the end of day 10
I hope this helps you
x>4
x>-4
x>4
