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34kurt
2 years ago
8

Solve the system of linear equations by substitution. −5x+3y=51 y=10x−8

Mathematics
1 answer:
DerKrebs [107]2 years ago
3 0
I would do the work out but it’s a lot of work so heres a picture the work is already done.

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In a survey of 1,000 television viewers, 40% said they watch network news programs. For a 90% confidence level, the margin of er
ElenaW [278]

Answer:   The margin of error = 3\%

Step-by-step explanation:

Given

Sample size (n) = 1000

Population proportion = 0.4

\alpha = 1 - confidence level

  = 1 - 0.95

   = 0.05

margin\;  of\;  error = z_{\frac{\alpha }{2}}\sqrt{\frac{{\widehat{p}}{(1 -\widehat{p})}}{n}}

margin\;  of\;  error = z_{\frac{0.05 }{2}\sqrt{\frac{{(0.4)}{(1 -0.4)}}{1000}}

                             = z_{0.025}\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}

                             = 1.96\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}

                            =  0.03

The margin of error change to 2.5\% to 3\%

                             

                         

6 0
3 years ago
Help me out please please an thank you
kirill [66]

Answer:

C

Step-by-step explanation:

∠ 4 and ∠ 8 are corresponding angles

Each is in the same position (the lower left angle ) in its group of 4 angles.

5 0
3 years ago
Consider the vectors a =3i +j −k, b =i +j +4k, c=i +3j +k, d =−i −3j +k, g =−3i −j +k. Which pairs (if any) of these vectors are
11111nata11111 [884]

Answer:

a and b are perpendicular to each other, as are b and d, b and g

Step-by-step explanation:

To check whether two vectors are perpendicular to each other, we need the angle between these vectors to be 90 degrees.

We can find the angle between to vectors a and b from the following relation:

The cosine of the angle \theta between two vectors is equal to the dot product of this vectors divided by the product of vector magnitude.

So

cos(\theta) = \frac{a.b}{|a||b|}

cos(90) = 0, so when the dot product between vectors a and b is 0, it means that these vectors are perpendicular to each other.

Now, for your exercise, let's compute the dot product between these vectors.

-----------

a.b = (3,1,-1).(1,1,4) = 3+1-4 = 0

So a and b are perpendicular to each other.

------------

a.c = (3,1,-1).(1,3,1) = 3+3-1 = 5

a and c are not perpendicular to each other.

--------------

a.d = (3,1,-1).(-1,-3,1) = -3-3-1 = -7

So not perpendicular

---------------

a.g = (3,1,-1).(-3,-1,1) = -9-1-1 = -11

Not

-----------------

b.c = (1,1,4).(1,3,1) = 1+3+4 = 8

Not

------------------

b.d = (1,1,4).(-1,-3,1) = -1 -3 +4 = 0

b.d = 0, so b and d are perpendicular to each other

--------------------

b.g = (1,1,4).(-3,-1,1) = -3-1+4 = 0

b.g = 0, perpendicular

---------------------

c.d = (1,3,1).(-1,-3,1) = -1-9+1 = -9

No

-----------------------

c.g = (1,3,1).(-3,-1,1) = -3-3+1 = -5

No

------------------------

d.g = (-1,-3,1).(-3,-1,1) = 3+3+1 = 7

No

7 0
3 years ago
Here is an inequality for the graph that one of your
Gre4nikov [31]

Answer:

44

Step-by-step explanation:

7 0
3 years ago
Help please help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
horsena [70]

Answer:

x=2/5

Step-by-step explanation:

4 0
2 years ago
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