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konstantin123 [22]
4 years ago
6

At lunch, kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams o

f sodium. her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
Mathematics
2 answers:
solniwko [45]4 years ago
4 0
490x + 700y < = 4000 (thats less then or equal)
Semmy [17]4 years ago
3 0

Answer:

The required inequality is 490x+700y \leq 4,000.  

Step-by-step explanation:

Consider the provided information.

Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium.

let <em>x</em> is the number of burritos and <em>y</em> is the number of peanut butter sandwiches.

If she takes x numbers of burritos which containing 490 milligrams of sodium or y numbers of peanut butter sandwich which containing 700 milligrams of sodium. This can be written as:

490x+700y

Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week.

No more than 4,000 milligrams of sodium means, she can take less than or equal to 4,000 milligrams of sodium.

The inequality sign used for less than or equal to is "≤".

Therefore, the required inequality is 490x+700y \leq 4,000.

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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
kondaur [170]

Answer:

Due to the higher z-score, Norma should be offered the job

Step-by-step explanation:

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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:

Whoever has the higher z-score should get the job.

Norma:

Norma got a score of 84.2; this version has a mean of 67.4 and a standard deviation of 14.

This means that X = 84.2 \mu = 67.4, \sigma = 14

So

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

Z = \frac{84.2 - 67.4}{14}

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Pierce got a score of 276.8; this version has a mean of 264 and a standard deviation of 16.

This means that X = 276.8, \mu = 264, \sigma = 16

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Z = \frac{276.8 - 264}{16}

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Reyna:

Reyna got a score of 7.62; this version has a mean of 7.3 and a standard deviation of 0.8.

This means that X = 7.62, \mu = 7.3, \sigma = 0.8

So

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

Z = \frac{7.62 - 7.3}{0.8}

Z = 0.4

Due to the higher z-score, Norma should be offered the job

8 0
4 years ago
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