The number is odd.
1 answer:
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Answer:
<em>x = - 11 ; m∠B = 132° </em>
Step-by-step explanation:
(33 - 9x)° + 48° = 180°
33 - 9x + 48 = 180
81 - 9x = 180
- 9x = 99
<em>x = - 11</em>
m∠B = [33 - 9(- 11)]° = (33 + 99)° = 132°
<em>m∠B = 132°</em>
Answer:
a) E(X)=1
b) σ=1
c) P(X>1)=0.368
d) P(2<X<5)=0.128
Step-by-step explanation:
We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.
a) We have to compute the expected time between two successive arrivals.
The expected value for X as it is exponentially distributed is:
b) We have to compute the standard deviation of X.
The standard deviation is calculated as:
c) The probability that X is larger than 1 (P(X>1))
We can express the probability as:
d) The probability that X is between 2 and 5 (P(2<X<5))
Answer:
Step-by-step explanation:
So, our equation is:
In exponetial form, this looks like:
Now lets cube the 5:
Next, we can multiply the denominator on the right side by 5:
We need to now get x alone by adding 4 to both sides:
Finally, we divide by x's coefficent, 2, to get:
Hope this helps! :3