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1 year ago

Convert the following decimals to percent. 1) 4.75 = 2) 0.99 = 3) 10.4 =

Mathematics

1 answer:

Scorpion4ik [409]1 year ago

6 0

The percentage value of the decimals are 475%, 99% and 1040% respectively.

Data;

4.75
0.99
10.4

<h3>Conversion of Decimals to Percentage</h3>

a) 4.75

To convert a decimal value to percentage, all we simply need to do is multiply that number by 100.

$4.75 * 100 = 475 \%$

b) 0.99

To convert this decimal value to percentage, we just need to multiply this number by 100.

$0.99 * 100 = 99 \%$

c) 10.4

To convert this decimal value to percentage, we just need to multiply this number by 100.

$10.4 * 100 = 1040\%$

Learn more on conversion of decimal value to percentage here;

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Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

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And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

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And if you rotate the second region around the x axis you get that

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3 years ago

4/7 of students at a school are boys. If there are 2723 students at the school, how many are girls?

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2 years ago

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1. The probability of telesales representative making a sale on a customer call is 0.15.

Mumz [18]

Answer:

$n = 33$

$n = 19$

Step-by-step explanation:

From the question we are told that

The probability of telesales representative making a sale on a customer call is $p = 0.15$

The mean is $\mu = 5$

Generally the distribution of sales call made by a telesales representative follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the mean is mathematically represented as

$\mu = n* p$

=> $5= n * 0.15$

=> $n = 33$

Generally the least number of calls that need to be made by a representative for the probability of at least 1 sale to exceed 0.95 is mathematically represented as

$P( X \ge 1) = 1 - P( X < 1 ) > 0.95$

=> $P( X \ge 1) = 1 - P( X =0 ) > 0.95$

=> $P( X \ge 1) = 1 - [ ^{n}C_0 * (0.15 )^0 * (1- 0.15)^{n-0}] > 0.95$

=> $1 - [1 * 1* (0.85)^{n}] > 0.95$

=> $[(0.85)^{n}] > 0.05$

taking natural log of both sides

$n = \frac{ln(0.05)}{ln(0.85)}$

=> $n = 19$

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2 years ago

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The given function is a quadratic equation. Any quadratic equation can be written in the form :

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The given points can be taken as (2,23) ,(4,55) and(10,247)

We form three equations with the given points

For point (2,23 ) the equation is

23 = 4a + 2b + c

For point (4,55) the equation is

55 = 16a + 4b + c

For point (10,247) the equation is:

247 = 100a+10b+c.

Solving the three equations for a,b,c we have :

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16 = 6a + b

and,

192 = 84 a + 6b

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Solving for a,b,c we have:

a=2 b=4 c=7

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When x=8

c(x)= $2(8)^{2}+4(8)+7= 167.$ ]

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