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2 years ago

Dirk bought a set of stamps the number of stamps in the set is divisible by 2,3,5,6,and 9. Which set is it

Mathematics

1 answer:

Greeley [361]2 years ago

8 0

The least common multiple in that set of numbers is 90.

Dirk bought a set of 90 stamps.

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Winning the jackpot in a particular lottery requires that you select the correct four numbers between 1 and 42 and, in a separa

NARA [144]

Answer:

$\dfrac{1}{3,357,900}$

Step-by-step explanation:

There are

$C^{42}_4=\dfrac{42!}{4!(42-4)!}=\dfrac{42!}{4!\cdot 38!}=\dfrac{38!\cdot 39\cdot 40\cdot 41\cdot 42}{2\cdot 3\cdot 4\cdot 38!}=39\cdot 10\cdot 41\cdot 7=111,930$

different ways to select the four numbers between 1 and 42. Only one of this ways is correct (successful to win).

There are 30 different ways select the single number between 1 and 30. Only one of them is correct.

The probability of winning the jackpot is

$\dfrac{1}{111,930}\cdot \dfrac{1}{30}=\dfrac{1}{3,357,900}$

4 0

2 years ago

Read 2 more answers

Help is greatly appreciated!

Masja [62]

Answer:

∛3, ∛3 to the fourth power, 3³∕ ², 3³∕ ², radical 3 to the fifth power

Step-by-step explanation:

I'm going to convert all these to decimal form to make it easier.

3³∕ ² = 4.5

∛3 = 1.44

radical 3 to the fifth power= 15.60

∛3 to the fourth power= 4.33

7 0

2 years ago

Write a sentence describing the meaning of the statement c(2)=40

aev [14]

Step-by-step explanation:

A number,c times two equal forty.

5 0

2 years ago

if 6th term of an ap is -10 and 10 th term is -26 then find thr 15 term plzzzzzzzzzzzzzzzzzzzzzzz answer i will give whatever y

Rudik [331]

Answer:

-46

Step-by-step explanation:

We need to find the common difference of this arithmetic sequence:

$\frac{-26-(-10)}{10-6} =\frac{-16}{4} =-4$

So, the common difference d = -4. We can now write the equation:

$a_n=a_1+d(n-1)$

$a_{15}=a_6+d(15-6)=-10-4(9)=-10-36=-46$

So, the 15th term is -46.

Hope this helps!

5 0

2 years ago

Read 2 more answers

Find the unit vector in the direction of v=(7,-3).<br> (enter exact answers with square roots)

navik [9.2K]

Answer:

$\binom{ \frac{7 \sqrt{58} }{58} }{ \frac{ - 3 \sqrt{58} }{58} }$

Step-by-step explanation:

First, find the magnitude of the vector:

$|v| = \sqrt{( {(7)}^{2} + {( - 3)}^{2}) } \\ = \sqrt{(49 + 9)} \\ = \sqrt{58}$

Then, divide each component of the vector by the magnitude to get the unit vector and rationalise:

$unit \: vector = \binom{ \frac{7}{ \sqrt{58} } }{ \frac{ - 3}{ \sqrt{58} } } \\ = \binom{ \frac{7 \sqrt{58} }{58} }{ \frac{ - 3 \sqrt{58} }{58} }$

8 0

3 years ago