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3 years ago

Ineed help help me please

Mathematics

1 answer:

melamori03 [73]3 years ago

8 0

The symbol ₁₂P₉ represents the permutations of 9 quantities out of 12.
By definition,
$_{12}P_{9} = \frac{12!}{(12-9)!} = \frac{12!}{3!}$

From the calculator,
12! = 479,001,600
3! = 6

Therefore
₁₂P₉ = 479001600/6 = 79,833,600

Answer: 79,833,600

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Five thousand raffle tickets are sold for $5 each. 50 winnings numbers will be chosen, 40 of which will win $100 each and 10 of

Allisa [31]

Answer:

Step-by-step explanation:

Given

there are 50 winning number out of which 40 get $ 100 each and 10 wins $ 1000 .

let x denotes the winning from a randomly selected ticket

$x=100\ with\ Probability\ \frac{40}{5000}$

$x=1000\ with\ Probability\ \frac{10}{5000}$

Expected value is given by

$E(x)=100\times \frac{40}{5000}+1000\times \frac{10}{5000}$

$E(x)=0.8+2=2.8$

and Expected return is given by

$=100\times \frac{40}{5000}+1000\times \frac{10}{5000}-5$

$=2.8-5=$ -2.2$

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2 years ago

Give the domain and range.

alexgriva [62]

Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

Given:

There are three points on the graph.

Locate the $x$ and $y$ values of the points on the graph.

The points are $(-2,-1),(0,1),\textrm{ and }(2,3)$

Domain is the set of all possible $x$ values. Here, the $x$ values are -2, 0 and 2.

So, domain is: {-2, 0, 2}.

Range is set of all possible $y$ values. Here, the $y$ values are -1, 1 and 3.

So, range is: {-1, 1, 3}

7 0

2 years ago

Brandon spends $25.30 on 2 large containers of popcorn and 4 large drinks. A large container of popcorn costs $5.25. What is the

Paladinen [302]

Answer:

$3.70

Step-by-step explanation:

$25.30 = 2P + 4D. p for popcorn and d for drinks

P= $5.25

$25.30 = 2($5.25) + 4D

$25.30 = $10.50 + 4D

-10.50. -10.50

inverse operations

$14.80 = 4D

÷4. ÷4

Inverse operations

$3.70 = D

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2 years ago

Which of the following is equivalent to (5) 3 O 54 O 54 05 O V5

IrinaK [193]

Answer:

D. $\sqrt[3]{5^7}$

Step-by-step explanation:

The formula for this conversion is:

$a^\frac{x}{n}=\sqrt[n]{a^x}$

Substitute the values you currently have.

$5^\frac{7}{3}=\sqrt[n]{a^x}$

Since we know that

a = 5

x = 7

n = 3

Fill the square root with this.

$5^\frac{7}{3}=\sqrt[3]{5^7}$

4 0

2 years ago

What is the slope of the line that is perpendicular to the line that passes through (-2, 7) and (4, 9)? Type a numerical answer

kodGreya [7K]

Answer:

Therefore $m_{2}$ = -3.

Step-by-step explanation:

i) let us say the slope of the line passing through (-2,7) and (4,9) is $m_{1}$ .

ii) to find the slope of the line passing through two points ( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) we use the formula m = $\dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$ . Therefore we can say that $m_{1}$ = $\dfrac{9 - 7}{4 - (-2)}$ = $\dfrac{1}{3}$ .

iii) let us say the slope of the perpendicular line to the line passing through (-2,7) and (4,9) is $m_{2}$

iv) from the formula for the slopes of a line and the line perpendicular to it which is given by $m_{1}$ × $m_{2}$ = -1, therefore $m_{2}$ = -1 ÷ $m_{1}$ = -3. Therefore $m_{2}$ = -3

6 0

3 years ago