Answer:
"34,814" is the correct solution.
Step-by-step explanation:
The given values are:
Intercept coefficient,

Production coefficient,
Units sold,
x = 3,500
Now,
The total cost will be:
⇒ 
On substituting the estimated values, we get
⇒ 
⇒ 
⇒ 
Let's assume
people were in the original group of winners as x
A group of winning ticket holders share equally 90,000,000 lottery
Before the money is divided, three more winning ticket holders are declared
so, total number of winning tickes =x+3
each persons share is reduced to 5,000,000
so, total money =5,000,000*(x+3)
and this must be equal to total money

now, we can solve for x
and we get

Subtrac both sides by 3


so,
number of people were in the original group of winners is 15 ...........Answer
Answer:
The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.
The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.
The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).
Answer:
82 in^3
Step-by-step explanation:
3 x 2 x 7 + 2 x 2 x 10 = 82 in^3
Answer:
The correct answer is 9 m per 
Step-by-step explanation:
Force is defined by mass of an object times it's acceleration.
Let the mass of the object be m kilograms.
When a force of 30 N acts on a certain object the acceleration of the object is 5 m per 
∴ 30 = m × 5
⇒ m = 6.
If the force is changed to 54 N, let the acceleration of the object be x m per
.
∴ 54 = m × x
⇒ x =
= 9
Thus when the force is 54 N, the acceleration of the object is 9 m per
.