Answer:
2:1
Step-by-step explanation:
Look at two corresponding sides in the triangles. The sides measuring 20 and 10 are corresponding sides.
20:10 = 2:1
The scale factor from triangle ABC to triangle DEF is 2:1.
Answer:
For example, suppose we weigh five children. ... 5. ∑ i=1 xi. = x1 + x2 + x3 + x4 + x5. = 10 + 12 + 14 + 8 + 11. = 55. ... We also use sigma notation in the following way: 4 ... j2 = 12 + 22 + 32 + 42 = 30.
Missing: 17 | Must include: 17Summary measures for this data set are ... 17 18. 19 20. Observedresult. 0. 1. 0. 1. 1. 0. 1. 0. 1. 1. Total so far. 4. 5. 5. 6 ... 5. 10. 15. 20. 25. 30. 35. 40 . Toss. Figure S2.1 Proportion P, 40 tosses of a coin.
Answer:
Step-by-step explanation:
a) Standard deviation of 10 mean the fluctuation for values range from +10 to -10 from the mean.
b) Since the sixth student is 50 minutes, which is higher than the mean of 45 minutes, this will bring the over all mean higher that 45 minutes. Also, since 50 falls within the standard deviation range (35 to 55), this mean the new standard deviation will be smaller than 10.
9514 1404 393
Answer:
x -y = -5
3x +y = -11
Step-by-step explanation:
We assume you want two linear equations. Since you know a point on each line, the only thing you need to choose is the slope of the two lines through that point. We can make the slopes be +1 and -3, for example. Then the point-slope equations are ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -1 = +1(x +4)
y -1 = -3(x +4)
We can use these equations "as is", or put them in whatever form you like. I personally prefer "standard form:" ax+by=c.
<u>First equation</u>:
y -1 = x +4 . . . . . . eliminate parentheses
-5 = x -y . . . . . . . keep positive x term, put x and y together, separate from the constant
x - y = -5 . . . . . . standard form
<u>Second equation</u>:
y -1 = -3x -12 . . . . eliminate parentheses
3x +y = -11 . . . . . . add 3x+1 to both sides
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A system of equations with solution (-4, 1) is ...
Answer: 4 2/7
Step-by-step explanation:
There are 2 ways to do this I dont like a negatuve so add 20 over to 10 now we got -3x + 30=4x add 3 over to 4x we now have 30=7x we are left with 30/7. Or u could make it 4 2/7
