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dolphi86 [110]
3 years ago
5

Uptown Country Club only admits members with annual incomes in the top 2.5% of the United States. If the annual individual incom

e in the US has a mound-shaped symmetrical distribution with a mean of $55,000 and a standard deviation of $10,000, what is the approximate minimum annual income required for admission to the country club?
Mathematics
1 answer:
Verdich [7]3 years ago
5 0

Answer:

$74,600

Step-by-step explanation:

-Given the probability is 2.5%, mean=$55,000 and standard deviation= $10,000

-We find the z value of 2.5%

p=P(z>\frac{X-\mu}{\sigma})\\\\1.96=P(z

Hence, the minimum amount of income to be in the top 2.5% is $74,600

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(6,5), (3,-4) either one of those...

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If y varies inversely with x<br> and y is 10 when x is 5,<br> then what is y when x is 2?
Jobisdone [24]

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Answer:

  25

Step-by-step explanation:

Inverse variation means ...

  y = k/x

For the given values, we can find k to be ...

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Then for x=2, we have ...

  y = 50/x

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What is the value of 27÷(−34⋅−45)?<br> 4<br><br> 16/15<br><br> 28 4/5<br><br> 45
MakcuM [25]

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5 0
2 years ago
The table shows a company’s profit based on the number of pounds of food produced.
Bingel [31]

Answer:

$5,300

Step-by-step explanation:

Formulae used,

a=\dfrac{(\sum x^2y\sum xx)-(\sum xy\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}

b=\dfrac{(\sum xy\sum x^2x^2)-(\sum x^2y\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}

c=\dfrac{\sum y}{n}-b\frac{\sum x}{n}-a\frac{\sum x^2}{n}

Where,

\sum xx=\sum x^2-\dfrac{(\sum x)^2}{n}

\sum xy=\sum xy-\dfrac{\sum x\sum y}{n}

\sum xx^2=\sum x^3-\dfrac{\sum x\sum x^2}{n}

\sum x^2y=\sum x^2y-\dfrac{\sum x^2\sum y}{n}

\sum x^2x^2=\sum x^4-\dfrac{(\sum x^2)^2}{n}

Putting the values from the table, we get the best fit line as,

y= -0.0817x^2 + 102.24x - 20421

As we want to calculate the profit at 350 pounds, so putting x=350, we get

y= -0.0817(350)^2 + 102.24(350) - 20421=\$5354.75


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3 years ago
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Which situation can be represented by this inequality?
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Answer:

Stefan spends $6.50 on supplies for lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50

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