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Anettt [7]
3 years ago
6

Read the following statements then decide if, when combined, they present a convincing argument. You may need to refer back to y

our Polygon Graphic Organizer as you consider the following statements and decide if the conclusion is correct. Be sure to justify your reasoning.
Fact #1: A square has four sides of equal length.

Fact #2: A square is a rectangle because it has four right angles.

Fact #3: A rhombus also has four sides of equal length.

Conclusion: A rhombus is a rectangle.
Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

9514 1404 393

Answer:

  the conclusion is not justified. No statement is made regarding the angles of the rhombus

Step-by-step explanation:

A square is a rectangle because of its right angles, not because of its equal-length sides. The rhombus having equal-length sides does not qualify it as a rectangle. The conclusion of the argument is unsupported.

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Rachael got a 550 on the analytical portion of the Graduate Record Exam (GRE). If GRE scores are normally distributed and have m
valina [46]

Answer:

Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population \mu=600

Step-by-step explanation:

1) Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

\mu=600 represent the population mean for the Graduate Record Exam (GRE)

\sigma=25 represent the population standard deviation for Graduate Record Exam (GRE)

2) Solution to the problem

Let X the random variable that represent the Graduate Record Exam (GRE) of a population, and for this case we know the distribution for X is given by:

X \sim N(600,25)  

Where \mu=600 and \sigma=25

We want to find the z score for a score of 550. And in order to do this we need to apply the formula for the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

z=\frac{550-600}{25}=-2

So the answer for our case would be Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population \mu=600

7 0
3 years ago
Two numbers are in the ratio of 3 to 4. If the minor is 27, find the sum of both.
german

Answer:

Step-by-step explanation:

First we must find the missing number, for that we apply a simple rule of three:

3. 4

27 ------ x

x = 27 (4) / 3 = 36

Now we just do the sum:

27 + 36 = 63

4 0
3 years ago
Read 2 more answers
Please help me solve this
Thepotemich [5.8K]

Answer:

t=3.2c

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the reference angle for 7 pi/6?
Mademuasel [1]

Answer:

\frac{\pi }{6}

Step-by-step explanation:

\frac{7\pi }{6} is an angle in the third quadrant

To find the reference angle subtract π from it

reference angle = \frac{7\pi }{6} - π = \frac{\pi }{6}

3 0
2 years ago
The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. Men the same
ohaa [14]

Answer:

z=(x-mu)/o

Step-by-step explanation:

X - Heights of women aged 20 to 29: X is N(64, 2.7)

Y - Heights of men aged 20 to 29: X is N(69.3, 2.8)

a) X=6'=72"

b) Y = 72"

c) 72' women can be taken as very tall but men moderately taller than average

d) Y<5'5" =65"

e) X>73"

Z>

Almost 0% can be taken

f) IQR =Q3-Q1

3 0
2 years ago
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