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denpristay [2]
2 years ago
8

1) A school has 1600 students and they are going to vote as to whether they will completely convert the school completely off fo

ssil fuels. How many students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
Mathematics
1 answer:
fredd [130]2 years ago
5 0

Answer:

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8    

Step-by-step explanation:  

<u><em>Step(i):</em></u>-

Given sample size 'n' = 1600

95% confidence interval of the margin error is determined by

                      M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }

Level of significance = 0.05

Z₀.₀₅ = 1.96

Given Margin of error = 2% = 0.02

       M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }

       0.02 = \frac{1.96 X S.D}{\sqrt{1600} }

      0.02 X √1600 = 1.96 X S.D

       S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8  

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Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switc
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Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switches, each one set on or off. The receiver​ (wired to the​ door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches​ independently.<u>The probability of at least one pair of neighbors using the same​ settings is 0.65633</u>

Step-by-step explanation:

<u>Step 1</u>

In the question it is given that

Automatic garage door opener utilizes a transmitter control with four independent​ switches

<u>So .the number of Combinations possible with the Transmitters </u>=

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<u> Step 2</u>

Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.

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<u> Step 3</u>

Probability of at least one pair of neighbors using the same settings=

= 1- 0.343666

<u> Step 4</u>

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3 0
3 years ago
Simplify:0.3(x-2y)+0.5x-y
astraxan [27]

Answer:

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0.8x - 1.6y


If you want, we can simplify that down further to:


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7 0
3 years ago
Read 2 more answers
Help me on this please
steposvetlana [31]
I got you hun!

27= 3x is the equation you will need

27 is the total the coach needs making it the total. Since each pack comes with 3 you will mutiply the amount of pack, or x, by 3. 

X=9 

we know this because if you divide 3 by 27 to get it on the other side we get 9. This means the coach needs to buy 9 packs of baseballs for the team.

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Hope this helps!


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2 years ago
The table shows the temperature of ocean water in degrees Celsius at different depths in meters: Depth (meters) 0 500 1,000 1,50
NARA [144]

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The scatter plot best representing the data in the table is given by

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<h3>How are ordered pairs formed for plotting 2d data?</h3>

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Since the temperature is measured on each value of depth, thus, depth is independent and temperature is depending on the depth.

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Thus,

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Learn more about scatter plot here:

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I'd say it is 100 but I'm not sure.
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