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Serga [27]
3 years ago
14

Mary baked 21 cookies on saturday and twice that many on sunday for a school fundraiser. 4 cookies fell on the ground and had to

be thrown out. if she packaged 3 cookies to a bag, how many cookies were left over?
Mathematics
1 answer:
nika2105 [10]3 years ago
3 0
21+21= 42 cookies minus 4 = 38 cookies
38/3= 12.66(round down to 12)
She made 12 bags with 3 in Each which is 36, so 2 were left over
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The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

Z = \frac{X - \mu}{s}

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
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matrenka [14]

Answer:

-0.05

Step-by-step explanation:

Given the expression :

0.1×( – 0.9+ – 0.2÷ – 0.5)

Evaluating the bracket :

0.1 * (-0.9 - 0.2 ÷ - 0.5)

Solving the division first

-0.2 ÷ - 0.5 = 0.4

Now we have ;

0.1 * (-0.9 + 0.4)

0.1 * - 0.5

= - 0.05

4 0
2 years ago
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Lorico [155]

Answer:

24

Step-by-step explanation:

The numerator of the equivalent fraction of 3/8 is 9. From this, we can see that the common factor that is being multiplied is 3. So the denominator, 8, has to be multiplied by 3 as well which gives you 24. 9/24 is an equivalent fraction of 3/8

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3 years ago
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Romashka [77]

Answer: 1 11/15

Step-by-step explanation:

9/10 + 5/6

=  

 9 × 3

+--------

 10 × 3

5 × 5

-------

6 × 5

=  

27/30 + 25/30

=  

27 + 25

-----------

   30

=  

52/30

=  

52 ÷ 2

----------

30 ÷ 2

=  

26/15

=  

1 11/15

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mr_godi [17]

Answer:

the answer is 3.2 because your divide 16 by 5.

Step-by-step explanation:

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