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son4ous [18]
2 years ago
14

" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
HACTEHA [7]2 years ago
6 0

Answer:

Is that a magic spell??

Step-by-step explanation:

???

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Enter a number in the field below to show rewriting the division as multiplication. 3 4 ÷ 5 12 = 3 4 ×
Alexxandr [17]

Answer:

0.001953125

Step-by-step explanation:

Divide 34 by 512

34 ÷ 512 = 0.06640625

divide 0.06640625 by 34

0.06640625 ÷ 34 = 0.001953125

Check you work

34 × 0.001953125 = 0.06640625

Answer is 3 4 ÷ 5 12 = 3 4 × 0.001953125

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3 years ago
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Convert the following to scientific notation: 0.009.
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The answer is:  [B]:  " 9 * 10⁻³ " .
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Assinale todas as assertivas corretas com relação aos princípios de ensino na Matemática.
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3 years ago
The 17 students on the math team want to raise $483.62 to buy practice books they have already raised $218.25 of each students r
sertanlavr [38]

Answer:

Each stuydent must raise $15.61 to reach their goal.

Step-by-step explanation:

Their goal is 483.62, but they already have 218.25 so we subtract,

483.62 - 218.25 = 265.37

Since there are 17 students and they raise the same amount we need to divide by the amount of students to find out how much money each of them need to raise to add up to their goal.

265.37/17 = $15.61

4 0
3 years ago
According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month. Assume
Ira Lisetskai [31]

Answer:

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month.

This means that \mu = 22

Standard deviation is 4:

This means that \sigma = 4

Sample of 36:

This means that n = 36, s = \frac{4}{sqrt{36}}

What is the probability that the sample mean is between 21 and 22?

This is the p-value of Z when X = 22 subtracted by the p-value of Z when X = 21.

X = 22

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

By the Central Limit Theorem

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

Z = \frac{22 - 22}{\frac{4}{sqrt{36}}}

Z = 0

Z = 0 has a p-value of 0.5.

X = 21

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

Z = \frac{21 - 22}{\frac{4}{sqrt{36}}}

Z = -1.5

Z = -1.5 has a p-value of 0.0668.

0.5 - 0.0668 = 0.4332

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

4 0
2 years ago
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