Answer:
10√3 feet
Step-by-step explanation:
In a 30-60-90 triangle;
-Long leg = long leg
-Short leg = 1/2 * long leg
-2nd longest leg = short leg * √3
-Long leg = 20
-Short leg = 1/2 * long leg = 10
-2nd longest leg = short leg * √3 = 10√3
Answer:
0.087
Step-by-step explanation:
Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:
= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:
X₅ ~ Poisson (20 (5/60))
X₅ ~ Poisson (1.6667)
Formula for computing probabilities for Poisson is as follows:
P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!
P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! = (e^-1.6667)((1.6667²)/3!)
P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)
P(X₅= 3) = (2.718^(-1.6667))0.46
P(X₅= 3) = 0.1889×0.46
P(X₅= 3) = 0.086894
P(X₅= 3) = 0.087
Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.
Step-by-step explanation:
25 as binary number is
11001
1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 1 = 25
25×2 = 50 = 11001 × 2 = 110010
multiplying a binary number by 2 is the save effect as multiplying a normal decimal number by 10 : all digits move one position to the left, and a 0 is put into the empty right position.
and so, we see
110P = 110010
P = 010
FYI : you normally don't mix binary and decimal numbers. if one of the numbers is binary, then all the others have to be binary too.
so, the problem should have looked like
110P/10 = 11001
110P = 11001×10 = 110010
P = 010
Answer:
It is D or B. If i am not mistaken
Answer:
x=30, and angle A equals 132°.
Step-by-step explanation:
Since the angles are alternate-interior, both angles A and B equal the same amount. To figure out the value of <em>x</em>, you'd need to set up your equation like this:
5x-18°=3x+42°
You would need to solve for <em>x</em>, which should equal to 30.
Once you get your <em>x</em>, you need to plug it in into the equation of angle A, which is 5x-18°:
5(30)-18°
150-18°
Angle A = 132°.
