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nirvana33 [79]
4 years ago
11

What is the slope of (-7,-18) (-12,-3)

Mathematics
1 answer:
gavmur [86]4 years ago
3 0

To find the slope of (-7,-18) and (-12,-3) we need to subtract the two from each other.

(-7,-18)

-(-12,-3)

(5,-15)

Now we turn that fraction into the slope.  Rise (y) over Run (x) -15/5 = -3

y = mx + b

M is our slope.

y = -3(x) + b

Now we can solve for b, by plugging in one of the points.

-3 = -3(-12) + b

-3 = 36 + b

-39 = b.  Now your equation is y = -3(x) -39.  Hope this helped!

-TTL

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Answer:

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Answer:

A. England = 56000000

B. 1.046 * 10^7

C. 9.7 to 2sf

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=56000000

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Scotland = 5.44*1000000 = 5440000

Northern Ireland = 1.88*1000000 =1880000

Total = 10460000

In standard form =1.046*10^7

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What is the effect on the graph of the equation y=2x^2 when the equation is changed to y=-2x^2?
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A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
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Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of  \pm 5\% with 99 %confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Answer:

The value is  n = 666

Step-by-step explanation:

From the question we are told that

   The  margin of error is  E =  0.05

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } = 2.58

Here we will assume that the sample proportion of those who support a proposed gun control law to be  \^ p =  0.5 because  from the question they do not have any prior knowledge about the proportion who might support the law

Generally the sample size is mathematically represented as

      n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = 666

 

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