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2 years ago

Explain whether 13t−3t is equivalent to 3t−13t. Support your answer by evaluating the expressions for t=2.

Mathematics

2 answers:

djverab [1.8K]2 years ago

6 0

Answer:

Not equivalent

Step-by-step explanation:

13t - 3t = (13 - 3)t = 10t
3t - 13t = (3 - 13)t = -10t
10t ≠ -10t

They are not equivalent

When t = 2

13t - 3t = 13*2 - 3*2 = 26 - 6 = 20
3t - 13t = 3*2 - 13*2 = 6 - 26 = -20

lesantik [10]2 years ago

4 0

Answer:

They are not Equivalent.

Step-by-step explanation:

You can tell that they aren't by doing that equations.

13t-3t=10t

3t-13t=-10t

If you were to inert 2 into t's , spot, it still would not work.

13(2)-3(2), 26-6=20

3(2)-13(2), 6-26=-20

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The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34 45 to 54

1329 2268

1906 1965

2426 1149

1826 1591

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Compute the mean and standard deviation for the group "25 to 34" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01$

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$z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25$

Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

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