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nataly862011 [7]
2 years ago
7

50 POINTS A 3-column table with 5 rows. Column 1 has entries Mean, median, mode, range, M A D. Column 2 is labeled Noah with ent

ries 87, 85.5, 85, 8, 2.67. Column 3 is labeled Gabriel with entries 87.17, 85, 86, 12, 3.22. The difference between Noah’s mean and Gabriel’s mean is . The ratio of the difference in the mean to Noah’s MAD is . The ratio of the difference in the mean to Gabriel’s MAD is . Both of these ratios show that the difference in the means is about 5% of the MAD values.
Mathematics
2 answers:
faust18 [17]2 years ago
5 0

Answer:

The difference between Noah’s mean and Gabriel’s mean is:

87.17 - 87 =0.17

The ratio of the difference in the mean to Noah’s MAD is:

0.17 : 2.67

17 : 267

The ratio of the difference in the mean to Gabriel’s MAD is:

0.17 : 3.22

17 : 322

Both of these ratios show that the difference in the means is about 5% of the MAD values:

17/267 × 100 = 6.3670411985%

17/322 × 100 = 5.27950311%

Tema [17]2 years ago
4 0

Answer:

The difference between Noah’s mean and Gabriel’s mean is  

✔ 0.17

.

The ratio of the difference in the mean to Noah’s MAD is  

✔ 0.17/2.67

.

The ratio of the difference in the mean to Gabriel’s MAD is  

✔ 0.17/3.22

.

Both of these ratios show that the difference in the means is about 5% of the MAD values.

Step-by-step explanation:this is straight from edg.

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In a dilation of D_{o, \frac{1}{2} }(x,y), the scale factor, \frac{1}{2} is mapping the original figure to the image in such a way that the distances from O to the vertices of the image are half the distances from O to the original figure. Also the size of the image is half the size of the original figure.

Therefore, <span>If D_{o, \frac{1}{2} }(x,y) is a dilation of △ABC, the truth about the image △A'B'C'</span> are:

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2 years ago
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If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-four Percent of People o
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Answer:

The 98% confidence interval would be given by (0.326;0.354)

Step-by-step explanation:

1) Notation and definitions

X=63 number of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

n=6138 random sample taken

\hat p=0.34 estimated proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

p true population proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

2) Confidence interval

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by \alpha=1-0.98=0.02 and \alpha/2 =0.01. And the critical value would be given by:

z_{\alpha/2}=-2.33, z_{1-\alpha/2}=2.33

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.34 - 2.33\sqrt{\frac{0.34(1-0.34)}{6138}}=0.326

0.34 + 2.33\sqrt{\frac{0.34(1-0.34)}{6138}}=0.354

The 98% confidence interval would be given by (0.326;0.354)

8 0
2 years ago
Megan and Sam were solving a system of equations. They both noticed that the two lines had different slopes. Megan said that bec
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1:4
when sugar=34
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should use 136 cups of water
that is alot of water
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Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possibl
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<h3>Two answers: 5, 7</h3>

====================================================

Explanation:

A drawing may be helpful to see what's going on. Check out the diagram below. This is one way of drawing out the two triangles. The locations of the points don't really matter, and neither does the the orientation of how you rotate things. What does matter is we have the right points connected to form the segments mentioned.

----------

For now, focus on triangle TIP only. In order to have this be isosceles, we must make TP = 5 or TP = 7.

If TP = 5, then it's the same length as TI.

If TP = 7, then it's the same length as PI.

In either case, we have exactly two sides the same length (the other side different) which is what it means for a triangle to be isosceles.

----------

Let's consider triangle TOP. For it to be isosceles, we must have two sides the same length. We already locked in TP to be either 5 or 7 in the previous section above. So there's no way that TP could be 11 units long to match up with PO = 11.

If TP = 5, then OT must also be 5 units long so that triangle TOP is isosceles.

If TP = 7, then OT = 7 for similar reasoning.

Either way, TP only has two choices on what it could be.

----------

In short, we basically just write the first two values given to us to get the two triangles to be isosceles. We can't use TP = 11 as it would make triangle TIP to be scalene (all sides are different lengths).

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