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Fiesta28 [93]
3 years ago
6

A pedro earns 2464 a month. his expenses are at least $1,999 write and solve an inequality to find the possible amounts Pedro ca

n save each month.
Mathematics
1 answer:
Otrada [13]3 years ago
5 0
His disposable income after expenses is 2464-1999=465 at most. If x represents his expenses and y his savings, then 1999≤x≤2464 and y≤2464-x | 1999≤x≤2464. Set x to the lower limit and y≤465 and then set x to the upper limit so y≤0.
Since Pedro can only save a strictly positive amount, 0
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According to the Bureau of Labor Statistics, the average weekly pay for a U.S. production worker was $441.84 in 1998 (The World
Oksanka [162]

Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem:

  • The mean is of \mu = 441.84.
  • The standard deviation is of \sigma = 120.
  • The lower bound of the top 30% is the 70th percentile, which is X when Z has a p-value of 0.7, so <u>X when Z = 0.84.</u>

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

0.84 = \frac{X - 441.84}{120}

X - 441.84 = 0.84(120)

X = 542.64

A production worker has to make $542.64 a week to be in the top 30% of wage earners.

You can learn more about the normal distribution at brainly.com/question/24663213

3 0
2 years ago
The length of a rectangle is 8cm less than twice it's width find the the dimensions of the rectangle if the area is 120cm(2)
Anton [14]

Answer:

15 cm

Step-by-step explanation:

so:

if A= b x h and web have b Just Do the inverse formula:

H = a/b h=120/8 = 15 cm

Sorry for my bad English but I'm italian

5 0
3 years ago
Miyuki can type 135 words in 3 minutes.How many words can she expect to type in 8 minutes?
Alekssandra [29.7K]
135 / 3 is 45 and 45 x 8 is 360 so she can type 360 words in 8 minutes.
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3 years ago
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Which of the following functions best represents the graph?
marshall27 [118]

Answer:

f(x)=x^3+x^2-4x-4

Step-by-step explanation:

From the graph, the x-intercepts are;

x=-2

x=-1

x=2

These are root of the polynomial function represented by the given graph.

By the remainder theorem;

f(-2)=0,f(-1)=0,f(2)=0

According to the factor theorem, if (x-a) is a factor of f(x), then f(a)=0

This implies that;

(x+2),(x+1),(x-2) are factors of the required function.

Hence; f(x)=(x+1)(x-2)(x+2)

We expand using difference of two squares to obtain;

f(x)=(x+1)(x^2-4)

We expand using the distributive property to get;

f(x)=x^3-4x+x^2-4

Rewrite in standard form to obtain;

f(x)=x^3+x^2-4x-4

6 0
3 years ago
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I DONT KNOW LOL PLS STOP CHEATING
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