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Andreas93 [3]
3 years ago
8

A company that makes​ hair-care products had 9,000 people try a new shampoo. Of the 9,000 ​people, 36 had a mild allergic reacti

on. What percent of the people had a mild allergic​ reaction?
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer: 0.4%

Step-by-step explanation:

Total number of people 9000, divide the number of allergic reactions 36 by 9000.

36/9000=0.004

Now multiply 0.004 x 100 to reveal percent allergic reaction

0.004 x 100 = 0.4%

0.4% had allergic reactions

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<span>f(x)=2x+5
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Number 3

Step-by-step explanation:

The reason this is so is because he is looking for the amount of peaches he can buy. The equation that is number one represents that because it say 3.18 + 1.19p ≤ 10.00 showing that he wants an amount of peaches that costs less than 10.00. 1.19p standing for the amount of peaches and 3.18 representing the pomegranates.

5 0
4 years ago
Find lim ?x approaches 0 f(x+?x)-f(x)/?x where f(x) = 4x-3
Whitepunk [10]

If f(x)=4x-3:

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If f(x)=4x^{-3}:

\displaystyle\lim_{\Delta x\to0}\frac{\frac4{(x+\Delta x)^3}-\frac4{x^3}}{\Delta x}=\lim_{\Delta x\to0}\frac{\frac{4x^3-4(x+\Delta x)^3}{x^3(x+\Delta x)^3}}{\Delta x}

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7 0
4 years ago
Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


4 0
3 years ago
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