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vlabodo [156]
2 years ago
10

The state of Colorado has roughly the shape of a rectangle that is 3.8 x 102 miles long and 2.8 x 102 miles high. What is the ap

proximate area of Colorado? Hint: The area of a rectangle is the product of its length and width.
Mathematics
1 answer:
Illusion [34]2 years ago
6 0
104,185 miles is the area of Colorado
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(7)/(3) of it is 5 (5)/(6)
slava [35]

let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".

\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}

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1 year ago
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strojnjashka [21]

Answer:

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Step-by-step explanation:

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3 years ago
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Calculate the standard score of the given X value, X=28.3, where μ=26.3 and σ=28.1 and indicate on the curve where z will be loc
zmey [24]

Answer:

Standard score z=0.07

Step-by-step explanation:

The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.

For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{28.3-26.3}{28.1}=\dfrac{2}{28.1}=0.07

This value is 0.07 standard deviations right to the mean.

In the picture attached, we have located the z-score.        

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