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Tema [17]
1 year ago
6

A metal bar has a length of 3.0 c, a with of 3.0cm, and a height of 20cm. What volume of water, in liters would the bar displace

. Please show work
Mathematics
1 answer:
Furkat [3]1 year ago
5 0

180 cubic centimeters is the volume. And in water for liters is 0.18 liters

The work is 3*3*20=180 and there is 0.001 liters in one cubic centimeter.

Hope this helped!

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Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are (4,
Fed [463]
*Hint: In order to find the coordinates, you plug in the coordinates into the rule and solve.

(x, y) → (x + 2, y - 8)
(4, -5) → (4 + 2, -5 - 8)
(6, -13)

The coordinates of B' is (6, -13).
8 0
2 years ago
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Coupons driving visits. A store randomly samples 603 shoppers over the course of a year and nds that 142 of them made their visi
s2008m [1.1K]

Answer:

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 603, \pi = \frac{142}{603} = 0.2355

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

7 0
1 year ago
Which pairs of angles in the figure below are vertical angles?
ch4aika [34]

Answer: Option A and Option C.

Step-by-step explanation:

For this exercise it is important to know the definition of "Vertical Angles".

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By definition, Vertical angles are congruent, which means that the have the equal measure.

In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.

You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:

\angle ISN  and \angle TSW

\angle TSN and \angle ISW

6 0
2 years ago
Aubrey and her cousins plan to all chip in to get their grandmother a $530
erik [133]
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8 0
2 years ago
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If LP = 15 and PR = 9, find LR. Explain.
Rudiy27

Answer:

24

Step-by-step explanation:

LP = 15 on one side

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____________________|____________|

 P                                      L                            R

add them and PR is 24

15+9= 24

5 0
2 years ago
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