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Bas_tet [7]
3 years ago
5

Use the segment addition postulate to write three equations using the diagram below

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

PQ + QR = PR => equation 1

RS + ST = RT => equation 2

PR + RT = PT => equation 3

Step-by-step explanation:

Points P, Q, R, S, and T are collinear therefore, the following equations can be written based on the segment addition postulate:

PQ + QR = PR => equation 1

RS + ST = RT => equation 2

PR + RT = PT => equation 3

More equations can actually be written from the diagram given using the segment addition postulate. Such as:

PQ + QR + RS + ST = PT

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In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct _____
ale4655 [162]

In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct  random sampling and random group assignment

<u>Explanation:</u>

The terms Random sampling and Random group assignment are greatly different in process of the sample selection.  The study related to the determination of how sample participants can be drawn from the population refers to the process of Random sampling. The sample participants are subjected to a treatment by the usage of a random procedure comprises the Random group assignment.

When a researcher wants validate externally then random selection can be used. When a researcher wants to determine the effects of treatment within that group which is known as determination of internal validity then he can opt for Random group assignment.

4 0
2 years ago
It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington.How far is it from Eaton to Wellington, if y
Vikentia [17]
Since the problem gives the number of values of how far away each Eaton and Wellington are from Baxter, you can add both of the miles together to get the total distance from Eaton to Wellington.
42 1/2+37 4/5=
Find the common denominator for both of them.
42 5/10 + 37 8/10=
Answer: 80 3/10 miles from each other
8 0
3 years ago
Read 2 more answers
Questions 2-7 will all be in regards to this data set:Observation X Y1 20 302 23 353 28 404 26 385 24 376 32 457 35 508 24 349 3
Tomtit [17]

Answer:

r =0.4437

Step-by-step explanation:

We have the follwoing dataset:

X: 20,23,53,4,24,32,35,24,31,23

Y: 30,35,40,38,37,45,50,34,42,32

n=10

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=10 \sum x = 269, \sum y = 383, \sum xy = 10609, \sum x^2 =8645, \sum y^2 =15007  

Th excel figure attached shows the calculations for each sum.

r=\frac{10(10609)-(269)(383)}{\sqrt{[10(8645) -(269)^2][10(15007) -(383)^2]}}=0.4437  

So then the correlation coefficient would be r =0.4437

3 0
3 years ago
Determine the slope of each line (-6,5), (-4,-3)
Tamiku [17]
The slope for those points, as ONE (1) line is: y=-9/2<span>x.</span>
3 0
2 years ago
In scientific notation is 14,200 000 becomes 1.42 x10'5
lyudmila [28]
You are correct with the 1.42 but wrong with the 10^5
Count the digits after the 1, which is 7. So it should be
1.42 x 10^7
6 0
3 years ago
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