(is/of=%/100)
(12/x= 35/100) = 34.29
(500/400=x/100) = 125
Answer:
Step-by-step explanation:
Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as
z = (x - u)/s
Where
x = ticket sales from monday
u = mean amount of ticket
s = standard deviation
From the information given,
u = 500 tickets
s = 50 tickets
We want to find the probability that the mean will be greater than 510. It is expressed as
P(x greater than 510) = 1 - P(x lesser than or equal to 510)
For x = 510
z = (510 - 500)/50 = 0.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.9773
P(x greater than 510) = 1 - 0.9773 = 0.0227
Angle A because the opposite side is the smallest, the smallest side being 28.49.
Answer:
4 cm
Step-by-step explanation:
The equation of a parabola with its vertex at the origin can be written as ...
y = 1/(4p)x^2
The problem statement tells us that one point on the parabola is (x, y) = (12, 9). We can put these values into the equation and solve for p, the distance from the focus to the vertex.
9 = 1/(4p)(12^2)
9×4/144 = 1/p = 1/4 . . . . . . . . multiply by the inverse of the coefficient of 1/p
Then p = 4, and the bulb is 4 cm from the vertex.
Answer:
The gradient of the line joining the points
and
is
.
Step-by-step explanation:
The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line (
), that is:
(1)
If we know that
and
, then the gradient of the line is:
![m_{PQ} = \frac{7-3}{5-2}](https://tex.z-dn.net/?f=m_%7BPQ%7D%20%3D%20%5Cfrac%7B7-3%7D%7B5-2%7D)
![m_{PQ} = \frac{4}{3}](https://tex.z-dn.net/?f=m_%7BPQ%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D)
The gradient of the line joining the points
and
is
.