Answer:
100 resident/km
Step-by-step explanation:
In order to find the population density, we have to calculate the area of the township first.
We know that:
L = length = 5 km
W = width = 4 km
So the area of the township is
A=L\cdot W = 5 \cdot 4 = 20 km^2A=L⋅W=5⋅4=20km
2
Now we can find the population density by using
d=\frac{N}{A}d=
A
N
where N is the number of residents, and A is the area.
Substituting N = 2000, we find:
d=\frac{2000}{20}=100 res./km^2d=
20
2000
=100res./km
2
so, 100 residents per kilometer squared
Given:
Week 1 : - 40
Week 2 : - 56
Week 3 : 105
Week 4 : 70
Week 5 : 140
Week 6 : ?
At the end of the 6th week, net profit is 252.
Profit = 105 + 70 + 140 = 315
Loss = 40 + 56 = 96
Net Profit = 315 - 96 = 219
252 - 219 = 33 Profit on Week 6.
Average profit : 252 / 6 = 42 per week
(-1,6)(2,-6)
slope = (-6 - 6) / (2 - (-1) = -12/3 = -4
y = mx + b
slope(m) = -4
(-1,6)...x = -1 and y = 6
sub and find b, the y int
6 = -4(-1) + b
6 = 4 + b
6 - 4 = b
2 = b
so the equation is : y = -4x + 2 <=== here is one
y - y1 = m(x - x1)
slope(m) = -4
(-1,6)...x1 = -1 and y1 = 6
sub
y - 6 = -4(x - (-1) =
y - 6 = -4(x + 1) <=== here is one
y - y1 = m(x - x1)
slope(m) = -4
(2,- 6)...x1 = 2 and y1 = - 6
sub
y - (-6) = -4(x - 2) =
y + 6 = -4(x - 2) .... here is one, but it is not an answer choice
Answer: Reject the eight- ounces claim.
Step-by-step explanation:
For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.
It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.
As per given ,
Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.
Then ,
, since alternative hypothesis is left-tailed thus the test is an left-tailed test.
the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.
Clearly , -1.87 < -1.645
⇒ -1.87 falls under rejection region.
⇒ Decision : Reject null hypothesis.
i.e. we reject the eight- ounces claim.
