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liberstina [14]
3 years ago
14

−2 2 21 +(−0.25÷(− 1 4 )−1.5÷(− 3 16 ))÷(−4 1 11 )

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Answer:

-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})=-4.0551

Step-by-step explanation:

Given : Expression -2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})  

To find : Simplify the expression ?

Solution :

Using BODMAS,

-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})  

=-\frac{44}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-\frac{45}{11})

=-\frac{44}{21}+(\frac{0.25}{14}+\frac{1.5\times 16}{3})\div(-\frac{45}{11})

=-\frac{44}{21}+(\frac{0.25}{14}+\frac{24}{3})\div(-\frac{45}{11})

=-\frac{44}{21}+(\frac{0.25\times 3+24\times 14}{14\times 3})\div(-\frac{45}{11})

=-\frac{44}{21}+(\frac{336.75}{42})\div(-\frac{45}{11})

=-\frac{44}{21}-\frac{336.75\times 11}{42\times 45}

=-\frac{44}{21}-\frac{3704.25}{1890}

=\frac{-44\times 1890-3704.25\times 21}{21\times 1890}

=\frac{-160949.25}{39690}

=−4.0551

Therefore, -2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})=-4.0551

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Step-by-step explanation:

Every triangle has a total degree angle of 180 degrees. Add the two sides that  are known and subtract the sum from 180 degrees to find out the last angle.

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frez [133]
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8 0
3 years ago
yler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, w
Sidana [21]
To get which design would have maximum area we need to evaluate the area for Tyler's design. Given that the design is square, let the length= xft,  width=(120-x)
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P(x)=120x-x²
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4 0
3 years ago
In the Journal of Shell and Spatial Structures (December 1963), environmental researcher Vivek Ajmani studied the performance of
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Answer:

The standard deviation of the load distribution is of 5102.041 pounds.

Step-by-step explanation:

When the distribution is normal, we use 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 = 20000

Also, the probability that the load is between 10,000 and 30,000 pounds is 0.95.

10,000 pounds and 30,000 pounds are equidistant from the mean. Due to this, and the probability of 0.95 of having a value in this range, 10000 is the (100-95)/2 = 2.5th percentile and 30000 is the (100+95)/2 = 97.5th percentile. Applying one of them, we find the standard deviation.

30,000 is the 97.5th percentile:

This means that when X = 30000, Z has a pvalue of 0.975. So when X = 30000, Z = 1.96. Then

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

1.96 = \frac{30000 - 20000}{\sigma}

1.96\sigma = 10000

\sigma = \frac{10000}{1.96}

\sigma = 5102.041

The standard deviation of the load distribution is of 5102.041 pounds.

8 0
3 years ago
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