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Novosadov [1.4K]

2 years ago

9

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a

number which is a multiple of 3 or 5?

1 answer:

Debora [2.8K]2 years ago

7 0

If 3, 6, 9, 12, 15, and 18 are multiples of 3 between 1 and 20, and 5, 10, 15 and 20 are multiples of 5 between 1 and 20, then you add the amount of multiples together to get 10.

10 over 20 as a fraction can be simplified to 1 over 2 which is 50%.

This means that there is a 50% chance of drawing out a multiple of 3 or 5.

I hope this helps

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Varvara68 [4.7K]

<span>This would be 24 X 10⁴</span>

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3 years ago

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2 years ago

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melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$y-y_1=m(x-x_1)$

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

7 0

2 years ago

the scale of a map is 1 in :250 miles City A is 378 miles from City B To the nearest tenth how far is its distance on the map

avanturin [10]

1.5 inches. You take 378 and divide it by 250

3 0

3 years ago

Please Please Please help me with the answer

Tems11 [23]

c = amount of chocolate donuts

m = amount of maple donuts.

so we know the total in all is 41 donuts, thus c + m = 41.

we also know that whatever c is, m is 25 fewer than that, m = c - 25.

$\bf \begin{cases} c+m=41\\ \boxed{m}=c-25\\ --------\\ c+\boxed{c-25}=41 \end{cases} \\\\\\ 2c-25=41\implies 2c=66\implies c=\cfrac{66}{2}\implies c=33 \\\\\\ \stackrel{\textit{since c = 33}}{m = c - 25}\implies m=33-25\implies m = 8$

6 0

2 years ago

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