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DerKrebs [107]
3 years ago
13

Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form

line segments X W, Y V, and Z T. The length of line segment T S is 3 m minus 1, the length of line segment S Z is 4 m + 8, and the length of line segment X S is 2 m + 12.
S is the centroid of triangle XYZ.

What is the length of SW?
Mathematics
2 answers:
Molodets [167]3 years ago
8 0

Answer:Step-by-step explanation:

hyper manni2 years ago
0 0

11 units

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One sample of n = 10 scores has a mean of M = 8, and a second sample of n = 5 scores has a mean of M = 2. If the two samples are
schepotkina [342]

Answer:

The mean for the combined sample = 6.

Step-by-step explanation:

We have been given that one sample of n = 10 scores has a mean of M = 8.

So the sum of 10 scores for 1st sample will be: 10\times 8=80

We are also told that second sample of n = 5 scores has a mean of M = 2.

So the sum of 5 scores for 2nd sample will be: 5\times 2=10

When the both samples are combined, so total points will be: 80+10=90 and total scores will be 10+5=15.

\text {Mean for the combined sample}=\frac{\text{Total points of both data sets}}{\text{Total scores of both data sets}}

\text {Mean for the combined sample}=\frac{90}{15}

\text {Mean for the combined sample}=6

Therefore, the mean for the combined sample will be 6.


6 0
3 years ago
Write in slope intercept form of the equation of a line passing through (-1,4) and perpendicular to y=x-5.
andrew11 [14]

Answer:

y=-x+3

Step-by-step explanation:

The general slope-intercept equation of a line is y=mx+b where m is the slope and b represents the y intercept. y and x are simply a point the line passes through. In this case, y=x-5, meaning m=1 and b=-5.

In order to find the perpendicular slope, we should take the current slope's <u>negative reciprocal</u>. We have:

-\frac{1}{1} =\\-1

Therefore, our perpendicular slope is -1. We now have equation:

y=-x+b

We can plug in the known values of the point (-1,4) to solve for b.

4=(-1)*(-1)+b\\4=1+b\\b=3

If we now put what we found together, we have equation

y=-x+3

<em>I hope this helps! Let me know if you have any further questions :)</em>

7 0
3 years ago
If a dice is rolled 18 times, how many times is the number 2 expected to come up? *
mart [117]

Answer:

the answer is B. 3 times

that's what I think

8 0
3 years ago
Which function is linear?
Mariulka [41]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Helpppppppppppppppppppppp
Setler79 [48]

Answer:

EF=3.6

Step-by-step explanation:

I'm going to use Pythagorean Theorem for side EF.

4.8^2+EF^2=6^2

23.04+EF^2=36

-23.04 -23.04

EF^2=12.96

sqrt sqrt

EF=3.6

4 0
3 years ago
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