Determine whether the graph of each pair of equations are parrallel, perpendicular, or neither

Mathematics

1 answer:

Luba_88 [7]2 years ago

7 0

Answer: 1: parrallel

2:perpendicular

3; neither

4; perpendicular. 5: parrallel

Step-by-step explanation:

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In a recent survey, 73% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,

Archy [21]

Answer:

So, the probability is P=0.094.

Step-by-step explanation:

We know that in a recent survey, 73% of the community favored building a police substation in their neighborhood.

We get that p=0.73 and q=1-0.73=0.27.

We calculate the probability that exactly 8 of them favor the building of the police substation, if 14 citizens are chosen.

We get that n=14 and k=8.

We calculate the probability:

$P=C_k^n\cdot p^k\cdot q^{n-k}\\\\P=C_8^{14}\cdot 0.73^8\cdot 0.27^6\\\\P=3003\cdot 0.00003124\\\\P=0.094\\$

So, the probability is P=0.094.

4 0

3 years ago

a system of equations is shown below: x y = 3 2x − y = 6 the x−coordinate of the solution to this system of equations is _____.

pychu [463]

If you would like to solve the system of equations x + y = 3 and 2x - y = 6, you can do this using the following steps:

x + y = 3 ... y = 3 - x
2x - y = 6
_________
2x - y = 6
2x - (3 - x) = 6
2x - 3 + x = 6
3x = 6 + 3
3x = 9 /3
x = 9/3
x = 3

y = 3 - x = 3 - 3 = 0

The correct result would be x = 3.

6 0

3 years ago

Find the distance between (-2, 8) and (11, 2). Round to the nearest hundredth.

andrew11 [14]

Answer: 14.32 units

Step-by-step explanation:

The formula for calculate the distance between two points is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this case, given the points (-2,8) and (11,2), we can identify that:

$x_2=11\\x_1=-2\\\\y_2=2\\y_1=8$

Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):

$d=\sqrt{(11-(-2))^2+(2-8)^2}\\\\d=14.32\ units$