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scZoUnD [109]
3 years ago
14

The distance between the points (-3,-1) and (-4,0) is the square root of ___?

Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0
\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ -3}}\quad ,&{{ -1}})\quad 
%  (c,d)
&({{ -4}}\quad ,&{{0}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
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3 years ago
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7 0
3 years ago
In the game of blackjack played with one​ deck, a player is initially dealt 2 different cards from the 52 different cards in the
Volgvan

Answer:

P =4.83\%

Step-by-step explanation:

First we calculate the number of possible ways to select 2 cards an ace and a card of 10 points.

There are 4 ace in the deck

There are 16 cards of 10 points in the deck

To make this calculation we use the formula of combinations

nCr=\frac{n!}{r!(n-r)!}

Where n is the total number of letters and r are chosen from them

The number of ways to choose 1 As is:

4C1 = 4

The number of ways to choose a 10-point letter is:

16C1 = 16

Therefore, the number of ways to choose an Ace and a 10-point card is:

4C1 * 16C1 = 4 * 16 = 64

Now the number of ways to choose any 2 cards from a deck of 52 cards is:

52C2 =\frac{52!}{2!(52-2)!}

52C2 = 1326

Therefore, the probability of obtaining an "blackjack" is:

P = \frac{4C1 * 16C1}{52C2}

P = \frac{64}{1326}

P = \frac{32}{663}

P =0.0483

P =4.83\%

4 0
3 years ago
Read 2 more answers
If f(x)= 5x + 40, what is f(x) when x = -5?
kap26 [50]

Answer:

f(x) = 15

Step-by-step explanation:

"If f(x)= 5x + 40, what is f(x) when x = -5?"

Substitute x for -5:

f(x) = 5x + 40

f(x) = 5(-5) + 40

f(x) = -25 + 40

f(x) = 15

6 0
3 years ago
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