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deff fn [24]
3 years ago
13

Quadrilateral ABCD has vertices A(-3, 1) B(0,4) C(4,0) D(1, -3).

Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0
I think the correct answer is D 1,-3
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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

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 - 0.85}{2} = 0.075

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

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

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.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

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

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
Solve: –3x – 24 ≤ –36 what is x equal to?
Kay [80]

Answer:

X <= 4

Step-by-step explanation:

-3x - 24<= -36

Make -3x the subject, by carrying -24 to the other side

Note: Moving -24 to the other side changes to + 24

-3x <= -36 + 24

-3x <= - 12

Minus cancels minus

3x <= 12

Divide both sides by 3,to get the value of x

3x/3 <= 12/3

x <= 12/3

x <= 4

Therefore, x equals to 4

6 0
3 years ago
Read 2 more answers
Two trains on opposite tracks leave the same station at the same
nikdorinn [45]

Answer:

20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart, if the Two trains on opposite tracks leave the same station at the same time.

Step-by-step explanation:

One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.

4 0
3 years ago
How you solve this??
FrozenT [24]
I have no idea sorry
4 0
3 years ago
What are the solutions to m2 – 9 = 0?
stiv31 [10]

Answer:

m=-3

Step-by-step explanation:

m2-9=0

2 divied by 9 =3

when you have a positive number and a negitive number =a negitive

I think you get the point

4 0
3 years ago
Read 2 more answers
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