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dsp73
3 years ago
12

What is the solution to this system of linear equations? Y-x=6 y+x=-10

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0
\left\{\begin{array}{ccc}y-x=6\\y+x=-10\end{array}\right\ \ \ |add\ both\ sides\ of\ the\ equations\\\\2y=-4\ \ \ \ |:2\\y=-2\\\\substite\ the\ value\ of\ y\ to\ second\ equation\\\\-2+x=-10\ \ \ |+2\\x=-8

Answer:\ x=-8\ and\ y=-2

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A simple random sample of n measurements from a population is a subset of the population selected in a manner such that which of
Ierofanga [76]

Answer:

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.                                            

Step-by-step explanation:

Simple random sampling:

  • It is a type of probabilistic sampling.
  • It is an unbiased representation of population.
  • The probability of selection is equal for every observation.
  • A sample is taken in such a way that each member has an equal probability of being selected.
  • A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.
  • Thus,the correct interpretation is given by,

a) sample of size n from the population has an equal chance of being selected.

b) Every member of the population has an equal chance of being included in the sample.

  • c) The simplest method of selection is used to create a representative sample.

The statement is false.

There is no pattern or technique used for selection. The selection is purely random.

  • d) Each subset of the population has an equal chance of being included in the sample.

The statement is false.

Each object of the population has an equal chance of being included in the sample. and not each subset.

  • e) Every sample of size n from the population has a proportionally weighted chance of being selected.

The given statement is false.

8 0
3 years ago
What is the vertex form of y=-2x2+4x + 3?
sukhopar [10]

Answer:

y=-2(x-1)^2+5

Step-by-step explanation:

we have

y=-2x^2+4x+3

This is the equation of a vertical parabola open downward

The vertex represent a maximum

Convert the quadratic equation into vertex form

step 1

Factor -2

y=-2(x^2-2x)+3

step 2

Complete the square

y=-2(x^2-2x+1)+3+2

y=-2(x^2-2x+1)+5

step 3

Rewrite as perfect squares

y=-2(x-1)^2+5 ----> equation in vertex form

The vertex is the point (1,5)

3 0
3 years ago
The sum of ten consecutive whole even numbers is 1190
olga2289 [7]
X + x+2 + x+4 + x+6 +x+8 + x+10 + x+12 + x+14 + x+16 + x+18 = 1190
Now simplify
10x + 90 = 1190
10x = 1100
x = 110
Now plug in 110 for x
5 0
3 years ago
What's the vertex for 6x^2-48x-54=0?
kakasveta [241]
It would be 4,-25 becuase of in the first place i in and the other imp in cams was the
4 0
2 years ago
If ΔABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point B'?
fenix001 [56]
D idk let me know if im wrong

5 0
3 years ago
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