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DENIUS [597]
3 years ago
7

A company that makes hair-care products had 8000 people try a new shampoo . Of the 8000 people 32 had allergic reactions .What p

ercent of the people had allergic reaction
Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

0.4 % of total people had allergic reaction

<em><u>Solution:</u></em>

Given that company that makes hair-care products had 8000 people try a new shampoo

Of the 8000 people 32 had allergic reactions

<em><u>To find: percent of the people had allergic reaction</u></em>

From given information,

Total number of people = 8000

Number of people with allergic reactions = 32

percent of the people had allergic reaction is given as:

\text{ percent } =\frac{\text{ Number of people with allergic reactions }}{\text{ Total number of people }} \times 100

\rightarrow \frac{32}{8000} \times 100\\\\\rightarrow \frac{32}{80} = 0.4

Thus 0.4 % of total people had allergic reaction

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Find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20​
Vsevolod [243]

Answer:

The sum of the first 20 terms is -1440.

Step-by-step explanation:

We want to find the sum of the first 20 terms of the arithmetic sequence:

4, -4, -12, -20...

The sum of an arithmetic sequence is given by:

\displaystyle S=\frac{k}{2}(a+x_k)

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.

Since we want to find the sum of the first 20 terms, <em>k</em> = 20.

Our initial term <em>a</em> is 4.

Our last term is also the 20th term as we want the sum of the first 20 terms.

To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:

x_n=a+d(n-1)

Where <em>a</em> is the initial term, <em>d</em> is the common difference, and <em>n</em> is the <em>n</em>th term.

Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:

x_n=4-8(n-1)

Then the last or 20th term is:

x_{20}=4-8(20-1)=4-8(19)=-148

Therefore, the sum of the first 20 terms are:

\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}

5 0
3 years ago
Read 2 more answers
A rectangle pool is 7 ft wide, it is 3 times as long as it is wide what’s the dimensions of the pool?
svetoff [14.1K]

The length is 3 times longer than the width (7)

3 x 7 = 21

the length is 21.

To find perimeter, add all sides together:

21 + 21 + 7 + 7 = 42 + 14 = 56

56 ft is your answer

hope this helps

3 0
3 years ago
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Increase 4 litres by 5%
Klio2033 [76]
Increase=5%of 4
=5÷100×4=0.2
So 4+0.2=4.2litres
6 0
4 years ago
If 4x + 8x + 12x + 16x is equal to 5 + 10 + 30 + 40 then what is the value of x​
zloy xaker [14]

4x+8x+12x+16x=5+10+30+40

4x+8x+12x+16x= 85

40x=85

x= 85/40

x=2.125

7 0
3 years ago
Which expression is equivalent to 4^-5 • 3^-5 ?
valkas [14]

The expression equivalent to 4^-5 • 3^-5  is 12^-5

<h3>What are equivalent expressions?</h3>

Equivalent expressions are simply known as expressions with the same solution but different arrangement.

Given the index expressions;

4^-5 • 3^-5

Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.

This can be written as;

4(3) ^ -5

expand the bracket

12^-5

Thus, the expression equivalent to 4^-5 • 3^-5  is 12^-5

Learn more about equivalent expressions here:

brainly.com/question/24734894

#SPJ1

7 0
2 years ago
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