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xz_007 [3.2K]
3 years ago
13

Find the area of a rectangle with a length of 4 5/8 inches and a width of 1/2 inch? Is it A. 16/37 in2, B. 37/16 in2, C. 37/2 in

2, D. 37/8 in2.
Mathematics
1 answer:
dybincka [34]3 years ago
5 0
Area is length times width.  Our length and width are 4 5/8 and 1/2 respectively, so the formula for the area is A=4 \frac{5}{8}* \frac{1}{2}.  It will be easier to get that mixed fraction into an improper one and then multiply the fractions straight across the top and straight across the bottom.  A= \frac{37}{8}* \frac{1}{2}.  Doing that multiplication gives us A= \frac{37}{16},  choice B.
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100 more tickets are needed to reach the goal of 2000

Step-by-step explanation:

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6 0
3 years ago
The diameters of ball bearings are distributed normally. The mean diameter is 83 millimeters and the standard deviation is 3 mil
Alenkinab [10]

Answer:

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

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 question, we have that:

\mu = 83, \sigma = 3

Find the probability that the diameter of a selected bearing is greater than 85 millimeters.

This is 1 subtracted by the pvalue of Z when X = 85. Then

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

Z = \frac{85 - 83}{3}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486.

1 - 0.7486 = 0.2514

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

7 0
3 years ago
This isn’t too difficult of questions and I am pretty sure I know the answers but I just want to make sure. Can someone please h
Shkiper50 [21]
Q2 Anwser
Exact Form:
28/15
Decimal Form:
1.86
Mixed Number Form:
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You should choose c because parallel lines have the same slope
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3 years ago
A certain television is advertised as a 59-inch TV (the diagonal length). If the width of
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Answer:

32.9 inches

Step-by-step explanation:

this can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

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l² + 49² = 59²

l² = 59² - 49²

3481 - 2401 = 1080

find the square root

32.9 in

3 0
3 years ago
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