Answer:
y= 2000 * x + 175000
Step-by-step explanation:
Given is Population is 175,000
Increase in rate = 2000/year
Let x be the population in 1995 which is C= 175,000
y= Population after per year
We know the formula for slope intercept form is
y= mx + C ............... (i)
Now from the suppose values and given
m= 2000
Now putting values in equation (i) gives
y= 2000 * x + 175000
Here x is the No of years
Answer:
a
Step-by-step explanation:
sec (thita) = squrt (5)
squaring on both sides:
sec^2 (thita) = 5 - equation 1
1 + tan^2 (thita) = 5
tan^2 (thita) = 4
tan (thita) = 2.
= tan (thita) - squrt(5)sin(thita)
= 2 - squrt(5) x 2/ squrt(5)
= 0
from eqn - 1
sec(thita) = squrt(5)
cos(thita) = 1/ squrt(5)
sin(thita) = squrt ( 1- 1/(squrt (5))^2)
sin(thita) = 2/ squrt(5) .
Answer:
0.25 is the required probability.
Step-by-step explanation:
We are given the following in the question:
Probability that like book 1 = 0.6
![P(1) = 0.6](https://tex.z-dn.net/?f=P%281%29%20%3D%200.6)
Probability that like book 2 = 0.5
![P(2) = 0.5](https://tex.z-dn.net/?f=P%282%29%20%3D%200.5)
Probability that Maria likes both the books = 0.4
![P(1\cap 2) = 0.4](https://tex.z-dn.net/?f=P%281%5Ccap%202%29%20%3D%200.4)
We have to find the conditional probability that she will like book 2 given that she did not like book 1.
Thus, we have to evaluate:
![P(2|1') = \dfrac{P(2\cap 1')}{P(1')} = \dfrac{P(2)-P(1\cap 2)}{1-P(1)}\\\\P(2|1') =\dfrac{0.5-0.4}{1-0.6} = 0.25](https://tex.z-dn.net/?f=P%282%7C1%27%29%20%3D%20%5Cdfrac%7BP%282%5Ccap%201%27%29%7D%7BP%281%27%29%7D%20%3D%20%5Cdfrac%7BP%282%29-P%281%5Ccap%202%29%7D%7B1-P%281%29%7D%5C%5C%5C%5CP%282%7C1%27%29%20%3D%5Cdfrac%7B0.5-0.4%7D%7B1-0.6%7D%20%3D%200.25)
0.25 is the conditional probability that Maria will like book 2 given that she did not like book 1.
Answer:
Two points are collinear when they lie on the same line. Points are collinear but not lines. Rather when two lines lie on the same plane we say they are coplanar.
Hence, line AB and CD are NOT collinear, so they are noncollinear and they are coplanar.
Two or more lines are said to be intersecting, when the lines meet at some point, when lines are not intersecting they are said to be parallel.
Recall that one of the properties of a rectangle is that opposite sides are parallel.
Notice that line AB and CB are the opposite sides of the rectangle ABCD.
Thus, line AB and CD are not intersecting but are parallel.
Therefore, the terms that best describe lines AB and CD are
parallel
noncollinear
coplanar
Step-by-step explanation:
Answer:
$7,213
Step-by-step explanation:
The computation of the total earnings for June and July is given below:
For June
= $2,000 + 2.7% × $51,000
= $2,000 + $1,377
= $3,377
And, for July
= $2,000 + $68,000 × 2.7%
= $2,000 + $1,836
= $3,836
So, the total earnings is
= $3,377 + $3,836
= $7,213