Answer:
Maximum
Step-by-step explanation:
dy/dx = 4 - 4x³ = 0
x³ = 1
x = 1
y = 4 - 1 = 3
There's only one stationary point: (1,3)
Nature:
d²y/dx² = -12x²
x = 1, so -12
Negative means it's maximum turning point
Answer:
(A) 0.125 probability
(B) 0.625 probability
(C) 660 miles
Step-by-step explanation:
The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.
(A) The probability that the truck driver goes more than 650 miles a day is:
[700 - 650] / [700 - 300] = 50/400 = 0.125
(B) The probability that the truck driver goes between 400 and 650 miles a day is:
[650 - 400] / [700 - 300] = 250/400 = 0.625
(C) The minimum number of miles the truck driver travels on the furthest 10% of days is given thus:
10% of 400 = 40
Subtract this from the farthest distance;
700miles - 40miles = 660miles
Answer:
41
Step-by-step explanation:
The total number of people present (80) includes those that were wearing sunglasses (39) and those who were not (80-39 = 41). Since there were no people present wearing neither glasses nor suits, the number wearing suits but not glasses was 41.
Answer:
y = 3√(x+3) -2
Step-by-step explanation:
The given points seem to match those of (half) a parabola that opens to the right. The parent function would be ...
x = y^2
or ...
y = √x . . . . . gives the upper half of the parabola only
It seems to have a vertical expansion by a factor of 3 and a translation of the vertex from (0, 0) to (-3, -2). The transformed function is then ...
y = 3√(x +3) -2
_____
We have transformed the parent function using ...
y = a·f(x-h) +k
where <em>a</em> is the vertical expansion factor, <em>h</em> is the horizontal translation, and <em>k</em> is the vertical translation.
Answer:
The probability is 0.026 to 3 d.p
Step-by-step explanation:
To calculate this , we shall be using the Bernoulli approximation.
let P = percentage of voters supporting the increase = 41% = 41/100 = 0.41
q = percentage of voters not supporting = 100-41% = 59% = 59/100 = 0.59
Now we want to calculate that exactly 15 out of 25 will vote in favor
Mathematically that would be ;
25C15 p^15 q^10
= 25C15 0.41^15 0.59^10
= 0.025981307443 or simply 0.026 to 3 decimal places