Karen made $85 for 5 hours of work. At the same rate, how much would she make for 8 hours

Mathematics

2 answers:

Fantom [35]4 years ago

6 0

Answer:

The correct answer would be $136

Step-by-step explanation:

If Karen made $85 in 5 hours and you want to figure out how much she would make in 8 hours, then you would first need to know how much she makes in 1 hour. Do to that, you would divide from 85 by 5, which would then give you 17. So that tells you how much Karen makes in 1 hour, now to find out how much she makes in 8 hours, all you have to do is multiply 17 and 8. Therefore, the answer to your question is Karen would make $136 in 8 hours.

Hope I helped

PSYCHO15rus [73]4 years ago

3 0

Karen would make $136 for 8 hours
85/5 = 17
17x8= $136

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The bottom for an A is 75. Round to the nearest whole number as needed.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the scores on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=73,\sigma=7)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

2) The bottom for an A is _____. Round to the nearest whole number as needed.

And we want the top 5.5% of the scores, so we need a value a such that:

$P(X>a)=0.055$ or $P(X$

We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.

Let's use the condition $P(X$ , the best way to solve this problem is using the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:

"=NORM.INV(0.945,0,1)"

If we apply the z score formula to our case we have this:

$P(X$