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olasank [31]
3 years ago
15

Ten times the sum of half a number and 6 is 8

Mathematics
1 answer:
Reil [10]3 years ago
5 0
Half = 0.5
x-the number

<span>Ten times the sum of half a number and 6 is 8:

10 · (0.5x + 6) = 8    |use distributive property: a(b + c) = ab + ac
5x + 60 = 8    |subtract 60 from both sides
5x = -52    |divide both sides by 5
x = -10.4
</span>
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Answer:

a) 59.98

b) 2.99

c) 2.99

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Step-by-step explanation:

Part a)

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Standard Deviation = s = 20.03 Mbps

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Thus, the difference between​ carrier's highest data speed and the mean of all 50 data​ speeds is 59.98 Mbps

Part b)

In order to find how many standard deviations away is the difference found in previous part, we divide the difference by the value of standard deviation i.e.

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Part c)

A z score tells us that how many standard deviations away is a value from the mean. We calculated the same in the previous part. Performing the same calculation in one step:

The formula for the z score is:

z=\frac{x-\overline{x}}{s}

Using the given values, we get:

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Part d)

The range of z scores which are neither significantly low nor significantly​ high is -2 to + 2. The z scores outside this range will be significant.

Since, the z score for carrier's highest data speed is 2.99 which is well outside the given range, i.e. greater than 2, we can conclude that the  carrier's highest data speed​ is significantly higher.

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