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Alenkasestr [34]
2 years ago
12

18. What is the solution to the system of equations?

Mathematics
1 answer:
AlekseyPX2 years ago
6 0

Answer:

The solution to the system of equation is (0 , -2 , 1).

Step-by-step explanation:

You can check the solutions of the equations by putting the values of x, y, and z one by one.

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Solve for x. Assume that lines which appear tangent are tangent.
NeX [460]

Answer:

x=2

Step-by-step explanation:

The angle formed by two tangents intersecting outside of  a circle is half the difference of the intercepted arcs.

This implies that:

55=\frac{1}{2}(116x+3-(180-55))

We need to simplify this ad solve for x to get:

110=(116x+3-125)

Group the similar terms to  get:

110-3+125=116x

232=116x

Divide by 116 to get:

x=2

8 0
3 years ago
Find the coordinates of the midpoint of LB if L(8,5) and B(-6,2)<br><br> 10 points!!!
KATRIN_1 [288]

Answer:

A, (1, 3+1/2)

Step-by-step explanation:

Midpoint formula for reference: m= {(x1 + x2)/2, (y1 + y2)/2}

Plugging in the points we get: m= {(8 - 6)/2, (5 + 2)/2}

Now we simplify using PEMDAS. First step is parentheses.

m= {2/2, 7/2}

Simplifying again (and making 7/2 a mixed number), it becomes

m= {1, 3+1/2}

Hope this helps!

3 0
2 years ago
What number has the same value as 14 tens
exis [7]
14 tens is equal to 140. You get this by multiplying 14 and 10. So the answer to your question is 140.
6 0
2 years ago
The ratio of 9/5 is equal to
Nutka1998 [239]
The answer is 1 and 4/5. Just divide and put the remainder as the numerator and the numerator stays the same
6 0
3 years ago
Read 2 more answers
Suppose that scores on the mathematics part of a test for eighth-grade students follow a Normal distribution with standard devia
riadik2000 [5.3K]

Answer:

We need an SRS of scores of at least 153.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large an SRS of scores must you choose?

This is at least n, in which n is found when M = 20, \sigma = 150. So

M = z*\frac{\sigma}{\sqrt{n}}

20 = 1.645*\frac{150}{\sqrt{n}}

20\sqrt{n} = 1.645*150

\sqrt{n} = \frac{1.645*150}{20}

\sqrt{n} = 12.3375

(\sqrt{n})^{2} = (12.3375)^{2}

n = 152.2

Rounding to the next whole number, 153

We need an SRS of scores of at least 153.

8 0
3 years ago
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