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KIM [24]
3 years ago
14

Simplify: 0.810×0.00048 all over 0.000400×0.027

Mathematics
2 answers:
irakobra [83]3 years ago
8 0
The person above me is right 100% :)
elixir [45]3 years ago
4 0

Answer:

36

Step-by-step explanation:

Okay! This question is a very simple one, but without a calculator, your answer could easily vary from others! So, let´s do this one together!

The equation:

0.810x0.00048/0.000400x0.027

Let´s do the top :

0.810 x 0.00048 = 0.0003888

I will leave these numbers the same until the last part, lets not round them.

Bottom:

0.0004 x 0.027 = 0.0000108

And again I am not going to round this number.

Now we can divide!

0.0003888/0.0000108 = 36

I hope this helped!

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It is said that sufferers of a cold virus experience symptoms for 7 days. However, the amount of time is actually a normally dis
AlexFokin [52]

Answer:

a) 0.18% of cold sufferers experience fewer than 4 days of symptoms

b) 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 7.5, \sigma = 1.2

a. What proportion of cold sufferers experience fewer than 4 days of symptoms?

This is the pvalue of Z when X = 4. So

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

Z = \frac{4 - 7.5}{1.2}

Z = -2.92

Z = -2.92 has a pvalue of 0.0018.

So 0.18% of cold sufferers experience fewer than 4 days of symptoms.

b. What proportion of cold sufferers experience symptoms for between 7 and 10 days?

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 7. So

X = 10

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

Z = \frac{10 - 7.5}{1.2}

Z = 2.08

Z = 2.08 has a pvalue of 0.9812.

X = 7

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

Z = \frac{7 - 7.5}{1.2}

Z = -0.42

Z = -0.42 has a pvalue of 0.3372.

So 0.9812 - 0.3372 = 0.644 = 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

8 0
3 years ago
The world record for the longest journey driven by car is 626,960 km. The longest journey by tractor is 21,199 km.
earnstyle [38]
The answer is 605,761 because when it says difference you must subtract.
5 0
3 years ago
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nirvana33 [79]
The answer is B
Explanation: when there is Two parentheses you multiply
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3 years ago
Simplify 7(A-6)<br> A-6<br> 7A-42<br> 7A-6
leva [86]

Answer:

7A - 42

Step-by-step explanation:

7(A-6)

Distribute

7*A - 7*6

7A - 42

6 0
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Enter the sum of the numbers as the product of their GCF and another sum.
Tpy6a [65]

Answer:

8

Step-by-step explanation:

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8 0
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