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DanielleElmas [232]
3 years ago
10

Ted buys blocks

of spruce for y dollars each, and x blocks of mahogany for z dollars each. In a given month, Ted spends a total of C dollars, where C=wy+xz. The price of a block of mahogany, given that a block of spruce costs 5/9 as much as a block of mahogany, and Ted has bought 12 blocks of spruce and 15 blocks of mahogany for a total cost of $9750. Write an equation whose solution is the given quantity.
Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

Answer:

9750= 12w + 15z  

W= 250  

Z= 450

1 block of Mahogany is $450.

Step-by-step explanation:

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<h3>What is standard deviation?</h3>

Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value

Here given that

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes

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Now we can calculate z by z-score formula as

z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}  \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

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