Answer: 0.0123
Step-by-step explanation:
Given : Customers leaving a subway station can exit through any one of three gates.
The probability of selecting any particular gate = 
Sample size : n= 4
Using binomial distribution,
, where P(x) is the probability of getting success inn x trials , n is the number of trails and p is the probability of getting success in each trial.
Then , the probability that among a sample of 4 customers, they all exit through the same gate.

Hence, the probability that among a sample of 4 customers, they all exit through the same gate = 0.0123
DE^2 = 1 + 16 = 17.
<span>EF^2 = 16 + 1 = 17. </span>
<span>DF^2 = 9 + 25 = 34. </span>
<span>Since (DE)^2 + (EF)^2 = (DF)^2,
</span><span> angle E is 90 degrees.
</span><span> DF must be the hypotenuse
</span>see attachment below
32.75 + 39.88 = 72.63
72.63 x 114% = 72.63 x 1.14 = $82.7982 or $82.80 to the nearest cent.
114% is all of the cost of the meal plus 14 % extra for the tip. See how muliplying by 1.14 includes the $72.63 (this saves the step of adding it on at the end if you were only to find 14% of $72.63)
For
(c+d)(ex+f)
the expanded form is
dex^2+dex+cfx+df
(ce)x^2+(de+cf)x+(df)
ax^2+bx+c
the value of a is ce
the value of b is de+cf
the value of c is df
so
(-2x+3)(x+8)
(-2x+3)(1x+8)
b is 3*1+-2*8=3-16=-13
answer is -13
so pick 13 because we have -B, so B=13
Answer:
x ≥ −4
The line is shaded to the right of −4 where the values are greater. The closed circle indicates that −4 is include