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1 year ago

A company that makes hair-care products had 5,000 people try a new shampoo. Of the 5,000 people, 15 had a mild allergic

1 answer:

6 0

A manufacturer of hair care products tested a new shampoo on 5,000 people, and 0.3 percent of the participants experienced a moderate allergic response. 15 of the 5,000 individuals experienced a minor allergic response.

<h3>Define percentage.</h3>

The easiest approach to utilizing percentages is to compare two numbers while setting the second amount's base to 100. Consider for a moment that we are interested in the proportion of working women. A percentage (%) is a number that represents how many out of 100 it is and may also be written as a decimal or fraction. To convert a percentage to a fraction, place the percentage's value in the numerator and 100 in the denominator.

Given,

15 of the 5,000 individuals experienced a minor allergic response.

Dividing the percentage of the population that had a minor reaction.

15 ÷ 5000

0.003

Multiplying it by 100 for percentage:

0.003 × 100%

0.3%

0.3% percent of the people had mild allergic reactions.

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Spencer, Jaclyn, and Ayden go shrimping in

larisa [96]

The total pounds of shrimp they catch is 9.625 pounds

<h3>Sum of values and decimals</h3>

Decimal number are numbers that has decimal points. Given the following information;

The total shrimp Spencer catch = 2 pounds

The total shrimp Jaclyn catch = 3.25 pounds

The total shrimp Ayden catch = 4.375 pounds

Determine the total pounds of shrimp they catch

Total shrimp = 2 + 3.25 + 4.375

Total shrimp = 9.625 pounds

Hence the total pounds of shrimp they catch is 9.625 pounds

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7 0

1 year ago

Need help with 19-20 your suppose to simplify the expression

lesya692 [45]

To solve problem 19, we must remember the order of operations. PEMDAS tells us that we should simplify numbers in parentheses first, exponents next, multiplication and division after that, and finally addition and subtraction. Using this knowledge, we can begin to simplify the problem by working out the innermost set of parentheses:

36 / [10 - (3-1)²]

36 / [10 - (2)²]

Next, we should still simplify what is inside the parentheses but continue to solve the exponents (the next letter in PEMDAS).

36/ (10-4)

After that, we should compute the subtraction that is inside the parentheses.

36/6

Finally, we can solve using division.

Now, we can move onto problem 20:

1/4(16d - 24)

To solve this problem, we need to use the distributive property, which allows us to distribute the coefficient of 1/4 through the parentheses by multiplying each term by 1/4.

1/4 (16d-24)

1/4(16d) - 1/4(24)

Next, we can simplify further by using multiplication.

4d - 6

Therefore, your answer to problem 19 is 6 and the answer to problem 20 is 4d -6.

Hope this helps!

3 0

3 years ago

15/16 divided by 20<br> 7/15 divided by 14

olga2289 [7]

Answer:

The first is 0.046 and the second is 0.033

Step-by-step explanation:

4 0

3 years ago

Evaluate the line integral for x^2yds where c is the top hal fo the circle x62 _y^2 = 9

natulia [17]

Parameterize $C$ by

$\mathbf r(t)=\langle x(t),y(t)\rangle=\langle3\cos t,3\sin t\rangle$

where $0\le t\le\pi$ . Then the line integral is

$\displaystyle\int_Cx^2y\,\mathrm dS=\int_{t=0}^{t=\pi}x(t)^2y(t)\left\|\frac{\mathrm d\mathbf r(t)}{\mathrm dt}\right\|\,\mathrm dt$
$=\displaystyle\int_{t=0}^{t=\pi}(3\cos t)^2(3\sin t)\sqrt{(-3\sin t)^2+(3\cos t)^2}\,\mathrm dt$
$=\displaystyle3^4\int_{t=0}^{t=\pi}\cos^2t\sin t\,\mathrm dt$

Take $u=\cos t$ , then

$=\displaystyle-3^4\int_{u=1}^{u=-1}u^2\,\mathrm du$
$=\displaystyle3^4\int_{u=-1}^{u=1}u^2\,\mathrm du$
$=\displaystyle2\times3^4\int_{u=0}^{u=1}u^2\,\mathrm du$
$=54$

6 0

3 years ago

Operations with fractions

romanna [79]

The asnwer is 2/8 (simplified it would be 1/4)

5 0

2 years ago

Read 2 more answers