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3 years ago

7

A hotel has 45 rooms. The hotel is building a new wing that will contain 25 rooms. How many rooms total will the hotel have afte

r the new wing is built? A) 20 rooms B) 50 rooms C) 60 rooms D) 70 rooms

2 answers:

kaheart [24]3 years ago

4 0

Add 45 and 25 to get 70 rooms.

yaroslaw [1]3 years ago

3 0

Add 45 and 25 and got 70 rooms the answer is D) 70 rooms

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A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student

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Answer:

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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).

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2 years ago

In the figure, line segment VR is parallel to line segment US and m<1 = 45 degrees what is m<4?

Jobisdone [24]

The measure of ∠4 is 45°.

Solution:

Line segment VR is parallel to the line segment US.

m∠1 = 45°

∠1 and ∠4 are corresponding angles.

<em>If two lines are parallel, then the corresponding angles are congruent.</em>

m∠1 = m∠4

45° = m∠4

m∠4 = 45°

The measure of ∠4 is 45°.

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(2 + 3i) + (3 – 4i)<br><br> (3 – 5i) – (–2 – i)<br><br> (2 − 4i)(1+ 3i) <br><br> 2i(−1+ 3i)

grandymaker [24]

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

(2 + 3i) + (3 - 4i)
<u>5 - i</u>

<u>Question 2</u>

(3 – 5i) – (–2 – i)
3 - 5i + 2 + i
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<u>Question 3</u>

(2 − 4i)(1+ 3i)
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