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elena-14-01-66 [18.8K]
4 years ago
12

Can someone answer this question quickly? thanks

Mathematics
1 answer:
kirill115 [55]4 years ago
5 0

Step-by-step explanation:

Let the sample space be S

S= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

\therefore n(S) = 10

Let A be the event of getting 6.

A = {6}

\therefore n(A) = 1\\P(A) = \frac{n(A)}{n(S)} = \frac{1}{10}

Let B be the event of getting a number greater than 3.

B = {4, 5, 6, 7, 8, 9, 10}

\therefore n(B) = 7\\P(B) = \frac{n(B)}{n(S)} = \frac{7}{10}

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45% of the population of a city are men
leonid [27]

Answer:

\boxed{\textsf{ The number of children is \textbf{24150}.}}

Step-by-step explanation:

Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,

\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% .

So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .

So let us take the total number of people be x . So ,

\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}

\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}

\rule{200}2

<u>The </u><u>percentage</u><u> of</u><u> </u><u>children </u><u>=</u><u> </u><u>1</u><u>5</u><u>%</u><u> </u><u>:</u><u>-</u>

\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}

5 0
3 years ago
Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.
Ostrovityanka [42]
We have that an inverse variation in a function is given by:
 y = k / x&#10;
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 To do this, we substitute the values of x1 = 12, y1 = 15.
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 15 = k / 12&#10;
 Clearing k we have:
 k = (15) * (12)&#10;&#10;k = 180
 Substituting the value of k we have that the inverse variation is:
 y = 180 / x&#10;
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 3 = 180 / x2&#10;
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 x2 = 180/3
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x2 = 60
3 0
4 years ago
Find all solutions in the integers of the equation ||x−3|−5| = 10, where the bars indicate absolute value.
Helga [31]

Answer:

x = 18 or x = -12.

Step-by-step explanation:

||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12.  We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.

3 0
4 years ago
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