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____ [38]
3 years ago
11

Two parallel lines, I and m, are cut by a transversal, t, as shown below.

Mathematics
1 answer:
Reika [66]3 years ago
4 0

Answer:

x = 8

Step-by-step explanation:

alternate-interior angles equal 180°

17x + 14 + 4x - 2 = 180

21x + 12 = 180

21x = 168

x = 8

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This is the right table my bad. Need the equation
Mamont248 [21]
Hi, seems like the answer is f(x) = x - 4 Edit: this was my original answer, but I was apparently completely out of my mind when I wrote it. The correct answer is f(x) = -4x + 50, as I stated below. I'm very sorry for any trouble I caused
3 0
3 years ago
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A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student
yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the difference between population means is:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

The information provided is as follows:

n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43

The critical value of <em>z</em> for 98% confidence level is,

z_{\alpha/2}=z_{0.02/2}=2.326

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

     =(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

5 0
3 years ago
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from ea
kari74 [83]

Answer:

μy = $6.56 ; σy = 2.77

Step-by-step explanation:

Given the data :

Mean μx= $8.56

Standard Deviation σx ≈ 2.77

Profit, Y on pizza with current promo :

Price off on pizza = $2

Y = x - 2

μx = E(x) = $8.56

μy = μ(x - 2)

μy = μx - $2

μy = $8.56 - $2

μy = $6.56

For the standard deviation of y

σx ≈ 2.77

σy = σ(x - 2)

σy = σx - 2

Constants are treated as 0 for standard deviation

σy = 2.77

8 0
3 years ago
4/6 x what equals 8/6​
Sidana [21]

Answer: 4/6

1. Subtract 8/6 by 4/6.

  • 8/6 - 4/6 = 4/6

4/6 + 4/6 = 8 is the same as:

  • 4 + 4 = 8

<em>Notice: You don't change the denominator if your adding or subtracting.</em>

<em>That's why 4 + 4 = 8 is the same as 4/6 + 4/6.</em>

<em />

<h2>Final answer: 4/6. </h2>

5 0
3 years ago
Please help!<br><br> 1. n^6/n^2<br><br> a. 1/n^4<br> b. n^4<br> c. n^8<br> d. n12
Klio2033 [76]
Simplify the following:n^6/n^2
Combine powers. n^6/n^2 = n^(6 - 2):n^(6 - 2)
6 - 2 = 4:Answer:  n^4 thus b: is you Answer
5 0
3 years ago
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