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motikmotik
3 years ago
8

2. What is the area of the figure below. Simplify.

Mathematics
2 answers:
kari74 [83]3 years ago
8 0

Answer:

x^2 - 9

Step-by-step explanation:

length = 2x - 6 = 2(x-3)

Area = [2(x-3) * (x + 3)]/2 = (x-3)(x+3) = x^2-9

DanielleElmas [232]3 years ago
7 0

Answer: x = 9

2x -6= x +3

2x -x= 3 +6

x= 9

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geniusboy [140]

Answer:

8

Step-by-step explanation:

6/1 divided by 3/4

6/1*4/3

24/3=8

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4 years ago
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Arandom sample of n1 =12 students majoring in accounting in a college of business has a mean grade-point average of 2.70 (where
antiseptic1488 [7]

Answer:

We accept the null hypothesis that the mean gpa's are equal, with the 5 percent level of significance.

Step-by-step explanation:

We have these following hypothesis:

Null

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So

\mu_{1} = \mu_{2}

Alternative

Different means

So

\mu_{1} \neq \mu_{2}

Our test statistic is:

\frac{\overline{Y_{1}} - \overline{Y_{2}}}{\sqrt{\frac{s_{1}^{2}}{N_{1}} + \frac{s_{2}^{2}}{N_{2}}}}

In which \overline{Y_{1}}, \overline{Y_{2}} are the sample means, N_{1}, N_{2} are the sample sizes and s_{1}, s_{2} are the standard deviations of the sample.

In this problem, we have that:

\overline{Y_{1}} = 2.7, s_{1} = 0.4, N_{1} = 12, \overline{Y_{2}} = 2.9, s_{2} = 0.3, N_{2} = 10

So

T = \frac{2.7 - 2.9}{\sqrt{\frac{0.4}^{2}{12} + \frac{0.3}^{2}{10}}} = -1.3383

What to do with the null hypothesis?

We will reject the null hypothesis, that is, that the means are equal, with a significante level of \alpha if

|T| > t_{1-\frac{\alpha}{2},v}

In which v is the number of degrees of freedom, given by

v = \frac{(\frac{s_{1}^{2}}{N_{1}} + \frac{s_{2}^{2}}{N_{2}})^{2}}{\frac{\frac{s_{1}^{2}}{N_{1}}}{N_{1}-1} + \frac{\frac{s_{2}^{2}}{N_{2}}}{N_{2} - 1}}

Applying the formula in this problem, we have that:

v = 20

So, applying t at the t-table at a level of 0.975, with 20 degrees of freedom, we find that

t = 2.086

We have that

|T| = 1.3383

Which is lesser than t.

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7 0
3 years ago
(03.07 LC)
Shtirlitz [24]
X = 8.

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Vertical lines will pass through only 1 x-coordinate, but they pass every point on the y-axis, since they infinitely go up and down (which, we already said, is the y-axis).



3 0
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