I think #7 is 40
#9 is 300
Answer:
the question is incomplete, so I looked for similar ones
the number of bottles of water remaining as a function of time:
f(x) = -78x + 468
1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour
x = number of hours
the slope is -78
the y intercept is 468
domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)
range = 0 ≤ y ≤ 468 bottles
the snack will run out of bottles of water by 4 PM
78x = 468
x = 468 / 78 = 6 hours
if the snack wants to have enough bottles of water to serve all its customers, it will need:
78 x 7.5 hours = 585 bottles of water
It is possible to calculate mathematically the area under the normal curve between any two values of z.
However, tables/software have been developed to give the areas under the normal curve to the left of particular values of z. The function is the probability of Z<z, or P(Z<z).
The area between two values z1 and z2 (where z2>z1) is therefore
P(Z<z2)-P(Z<z1).
For example, to find the area between z1=1.5, z2=2.5
is
P(Z<2.5)-P(Z<1.5)
=0.99379-0.93319
=0.06060
(above values obtained by software, such as R)
For example, the value P(Z<2.5) can be calculated using
P(Z<2.5)=erf(2.5/sqrt(2))/2+1/2
where erf(x) is a mathematical function that does not have an explicit formula (calculated by summation of series, or tabulated).
Answer:
expression equivalent is = 88d(5d-2)
27/3 = 9 cm3
the pyramid is 1/3 the volume of the cube because it fits exactly inside it