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kherson [118]
3 years ago
15

Ralph is arranging a wedding reception. He can spend no more than $8000. It costs $6000 to rent the hall and $25 to feed each gu

est. Ralph needs to know how many guests, at most, can attend the reception. Write an inequality to represent this situation.
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
8 0

Answer:  

80 ≥ x

Step-by-step explanation:

So we know that he cannot spend more than $8000.

So we subtract 6000 from 8000

8000 - 6000 =2000

So that means<em> $2000 to feed each guest</em>

<em />

<em>We then divide the amount of money we have left by how much it costs to feed each guest.</em>

<em>2000÷25=80</em>

<em>So at most 80 guests will be able to attend. I'll use x to represent the amount of people that will attend the reception.</em>

<em>So </em><em>80 ≥ x</em>

If I am wrong please comment so that I can fix it.

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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation
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Answer:

a.  X~N(2,885, 651)

b.  0.086291

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Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

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b. The probability that less than 2000 calories are consumed is calculated using the formula:

P(X

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c. The proportion of customers consuming more than 5000 calories is calculated as:

P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058

Hence, the proportion of customers consuming over  5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

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0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

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