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Aleks04 [339]
3 years ago
6

A mouse is trapped in a maze. To find his way out he walks 10 m, makes a 90° right turn, walks 5 m, makes another 90°, and walks

7 m. What is the magnitude of the resultant vector? Round to the nearest tenth

Mathematics
1 answer:
zimovet [89]3 years ago
4 0

5.8m

use Pythagoras Theorem

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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim
pogonyaev

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by \alpha=1-0.80=0.20 and \alpha/2 =0.10. And the critical value would be given by:

z_{\alpha/2}=\pm 1.28

Solution to the problem

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

Since we don't have prior info for the proportion of interest we can use \hat p=0.5 as estimator. And on this case we have that ME =\pm 0.025 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36  

And rounded up we have that n=656

5 0
3 years ago
Which values of a, b, and c represent the answer in simplest form?<br> 9/11 divided by 5/11 = a b/c
ozzi

Answer:

a=1, b=9 and c= 5

Step-by-step explanation:

9/11 divided by 5/11

= 9/11 * 11/5

11 gets cancelled

=9/5

it can also be written as 1* 9/5

Hence here a=1, b=9 and c= 5  

<em>Please mark me as brainliest.</em>

3 0
3 years ago
Jenny is cooking a chicken for dinner. A chicken needs to be cooked for 40 mins per kilogram, plus an extra 20 mins. How long wi
goldenfox [79]

1.679 kg * (40 min)/(kg) + 20 min = 67.16 min + 20 min = 87.16 min

7 0
3 years ago
One Solution<br><br> 6x – 3x + 4 – 2x =
emmainna [20.7K]

Answer:

x+4

Step-by-step explanation:

What I like to do in these types of problems is to separate the terms with a variable and those without.

So move +4 to the very end of the problem to make it look like this:

6x-3x-2x+4

Now simply subtract! After subtracting the first two terms (6x and -3x) it should look like this:

3x-2x+4

Then subtract once more (3x-2x)!

x+4

This cannot be simplified anymore so x+4 should be your final answer!

6 0
4 years ago
Read 2 more answers
Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.
Zinaida [17]

Answer: The answer is B, 3.6 < 37/10

7 0
3 years ago
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