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alukav5142 [94]
3 years ago
10

18% of what number is 43?

Mathematics
2 answers:
PIT_PIT [208]3 years ago
7 0
18% of 238.8889 is 43.

Convert the percentage (18) to a decimal by dividing it over 100:
\frac{18}{100} = 0.18

Divide 43 over 0.18:
<span>\frac{43}{0.18} = 238.8889</span>
DerKrebs [107]3 years ago
7 0
18% of 43

18/100 = .18

.18 * 43 = 7.74

Answer: About 8
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The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is th
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Answer:

a + b \geq 30

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Step-by-step explanation:

Given

The sum of the two positive integer a and b is at least 30, this means the sum of the two positive integer is 30 or greater than 30, so we write the inequalities as below.

a + b \geq 30

The difference of the two integers is at least 10, if b is the greater integer then we subtract integer a from integer b, so we write the inequality as below.

b - a \geq 10

Therefore, the following system of inequalities could represent the values of two positive integers a and b.

a + b \geq 30

b - a \geq 10

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How to subtract with renaming fractions
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3 years ago
2x+3y=15 x+y=6 find values for x and y
MatroZZZ [7]

Answer:

  (x, y) = (3, 3)

Step-by-step explanation:

Subtract double the second equation from the first.

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2 years ago
Verify that the following function is a probability mass function, and determine the requested probabilities. f left-parenthesis
Licemer1 [7]

Answer:

f(x) = \frac{27}{13} (\frac{1}{3})^x , x=1,2,3

1) f(x_i) \geq 0, \forall x_i

2) sum_{i=1}^n P(X_i) =1

We can find the individual probabilities and we got:

f(1)= \frac{27}{13} (\frac{1}{3})^1 =0.6923

f(2)= \frac{27}{13} (\frac{1}{3})^2 =0.2307

f(3)= \frac{27}{13} (\frac{1}{3})^3 =0.0770

And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.

P(X \leq 1) = P(X=1) =0.6923

P(X>1) = P(X=2) +P(X=3) = 0.2307+0.0770=0.3077

P(2

Step-by-step explanation:

For this case we have the following density function:

f(x) = \frac{27}{13} (\frac{1}{3})^x , x=1,2,3

In order to satisfty that this function is a probability mass function we need to check two conditions:

1) f(x_i) \geq 0, \forall x_i

2) sum_{i=1}^n P(X_i) =1

We can find the individual probabilities and we got:

f(1)= \frac{27}{13} (\frac{1}{3})^1 =0.6923

f(2)= \frac{27}{13} (\frac{1}{3})^2 =0.2307

f(3)= \frac{27}{13} (\frac{1}{3})^3 =0.0770

And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.

And if we want to find the following probabilities:

P(X \leq 1) = P(X=1) =0.6923

P(X>1) = P(X=2) +P(X=3) = 0.2307+0.0770=0.3077

P(2

7 0
2 years ago
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