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irga5000 [103]
2 years ago
11

x 10" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
irga5000 [103]2 years ago
5 0

Step-by-step explanation:

=  \frac{5}{12}  \times 10

=  \frac{5 \times 10}{12}

=  \frac{50}{12}

=  \frac{48}{12}  +  \frac{2}{12}

= 4 +  \frac{1}{6}

= 4 \frac{1}{6}

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A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand
LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

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:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

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

Z = \frac{20.2 - 20}{0.158}

Z = 1.27

Z = 1.27 has a pvalue of 0.8980

1 - 0.8980 = 0.1020

10.20% probability that a randomly chosen book is more than 20.2 mm thick

7 0
3 years ago
Which equation demonstrates the additive identity property?
Anon25 [30]
(7+4i)+0=7+4i.
Hope it helps
3 0
3 years ago
Read 2 more answers
Does that look right
Tju [1.3M]

looks right to me! :)

7 0
2 years ago
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Why do certificates of deposit tend to offer better interest rates than money market accounts?
victus00 [196]

Answer:

b

Step-by-step explanation:

Certificates of deposit are only available to the bank's most proven and valuable customers, so the bank can afford to give a greater interest rate on them.

6 0
3 years ago
A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot.
Ilia_Sergeevich [38]
Let us solve for the total area. In this problem, we solve area 1 (the rectangle in the middle) and the area 2 ( the two half circle on the sides).

Solve for area 1:
Area rec = L * W = 5units * 4 units = 20 squared units

Solve for area 2:
Area cir = pi *r² = 3.14 * (2 units)² = 12.56 squared units

Total area = 20 + 12.56 = 32.56 foot²
Total cost = 32.56 foot² * ($23/foot²) = $ 748.88

Total cost is $748.88.
5 0
3 years ago
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