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quester [9]
2 years ago
12

Write an equation of the line in point-stope form that passes through the

Mathematics
1 answer:
mash [69]2 years ago
4 0

Answer:

y-8=-4/3(x+2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-8)/(7-(-2))

m=-12/(7+2)

m=-12/9

simplify

m=-4/3

y-y1=m(x-x1)

y-8=-4/3(x-(-2))

y-8=-4/3(x+2)

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Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 9 people eligible for this com
ASHA 777 [7]

Answer:

The number of ways Tony and Maria can both be selected for the committee is 8 ways.

Step-by-step explanation:

i) Tony and Maria have to be on the committee together or not at all.

ii) Let us consider Tony and Maria as combined as one person.

 Therefore now we can say that the number of eligible people for the committee = 9 - 1 = 8.

iii) therefore the number of ways that both Tony and Maria can be selected for the committee are

 = 8C1   =  \hspace{0.2cm}\binom{8}{1} = \frac{8!}{1! (8-1)!}  = \frac{8!}{1!\times 7!}  = \frac{8}{1}  = \hspace{0.1cm}8 \hspace{0.1cm}ways

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2 years ago
A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From
lutik1710 [3]

Answer:

a) z = 1.645

b) The should sample at least 293 small claims.

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, which means that the answer of question a is z = 1.645.

Now, find  the margin of error 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.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

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

12 = 1.645*\frac{124.88}{\sqrt{n}}

12\sqrt{n} = 205.43

\sqrt{n} = \frac{205.43}{12}

\sqrt{n} = 17.12

\sqrt{n}^{2} = (17.12)^{2}

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2 years ago
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Answer:

436x

Step-by-step explanation:

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2 years ago
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arsen [322]
If you take a moment and solve each equation (find the value
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5x = 20 . . . . . x = 4

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The second equation is not like the others.
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