Answer:
5 + a
A: ---------
a - 1
Step-by-step explanation:
3+x 3 + a + 2
f(x) = ---------- becomes f(a + 2) = ------------------
x-3 a + 2 - 3
5 + a
when a + 2 is substituted for x. This last result simplifies to ------------
a - 1
which matches Answer A.
9514 1404 393
Answer:
x = 78
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so the sum of angles is ...
x° +x° +24° = 180°
2x +24 = 180 . . . . . collect terms
x + 12 = 90 . . . . . . . divide by 2
x = 90 -12 . . . . . . . . subtract 12
x = 78
_____
<em>Additional comment</em>
The base angle of an isosceles triangle is always the complement of half the third angle. That angle's bisector is an altitude, so divides the isosceles triangle into two congruent right triangles.
The answer would be to divide 1030 by 50 and you would get 21 coaches not 20 because 50x20=1000 and there are 30 remainder. Therefor, you would need that extra coach with some seats left to spare. so your answer is 21 coaches
Answer:the probability that the diameter of a randomly selected pencil will be less than 0.285 inches is 0.06681
Step-by-step explanation:
Since the diameters of pencils produced by a certain machine are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = diameters of pencils produced by a certain machine
u = mean diameter
s = standard deviation
From the information given,
u = 0.30 inches
s = 0.01 inches
We want to find the probability that the diameter of a randomly selected pencil will be less than 0.285 inches. It is expressed as
P(x lesser than 0.285)
For x = 0.285
z = (0.285 - 0.3)/0.01 = - 1.5
Looking at the normal distribution table, the corresponding z score is
0.06681
