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Fynjy0 [20]
3 years ago
14

Amy´s dog sleeps for 12 hours each night .She wants to know the percent of the day she sleep . What fraction shows the number of

hours Amyś dog sleeps out of the total number of the hours in a day ? Complete the fraction
Mathematics
1 answer:
irakobra [83]3 years ago
4 0

Answer:

1/2

Step-by-step explanation:

What we must do is calculate the fraction of the hours of sleep with respect to the hours of a day.

We know that a day has 24 hours.

Now:

12 hours of sleep for the every 24 hours in a day, it would be:

12/24

Simplify to get 1/2

We know that 1/2 is equal to 0.5 or what is the same as he spends 50% of the time asleep.

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Ax) = x² + 4x + 5<br> What is the vertex?
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Answer:

(-2,1)

Step-by-step explanation:

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3 years ago
Trials in an experiment with a polygraph include results that include cases of wrong results and cases of correct results. Use a
hram777 [196]

Answer and Step-by-step explanation:

This is a complete question

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80​% of the time. Identify the null​hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.

The computation is shown below:

The null and alternative hypothesis is

H_0 : p = 0.80

Ha : p < 0.80

\hat p = \frac{x}{ n} \\\\= \frac{74}{97}

= 0.7629

Now Test statistic = z

= \hat p - P0 / [\sqrtP0 \times (1 - P0 ) / n]

= 0.7629 - 0.80 / [\sqrt(0.80 \times 0.20) / 97]

= -0.91

Now

P-value = 0.1804

\alpha = 0.01

P-value > \alpha

So, it is Fail to reject the null hypothesis.

There is ample evidence to demonstrate that less than 80 percent of the time reports that these polygraph findings are accurate.

5 0
3 years ago
Plz help will mark brainliest!!
vagabundo [1.1K]

Answer:

Given:

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Radius = Diameter /2

Radius = 38 / 2

Step-by-step explanation:

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3 years ago
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Answer:

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So,

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Hope it helps :-)

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Assuming that the number cube is 6 sided

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Multiply the two fractions together

1/6 x 1/2 = 1/12

1/12 is your probability

hope this helps

4 0
3 years ago
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