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Rzqust [24]
3 years ago
12

Is (-1, -1) a solution of y = 3x + 2?​

Mathematics
1 answer:
Natali [406]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

Well the integer (-1, -1) means x = -1 and y = -1

So we can plug this into the equation

-1 = 3(-1) + 2

-1 = -3 + 2

-1 = -1

So yes (-1, -1) is a solution.

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If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct charac
mezya [45]

There are \binom{52}4 ways of drawing a 4-card hand, where

\dbinom nk = \dfrac{n!}{k!(n-k)!}

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \binom{13}4 ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \binom41 ways of picking a card of any given value. We draw 4 cards from the deck, so there are \binom41^4 possible hands in which each card has a different value.

Then there are \binom{13}4 \binom41^4 total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761

4 0
2 years ago
B. If the bus continued on from Madison and then traveled to LaCrosse for a total distance of 217 miles,
igomit [66]
The disnatcw would be 540
8 0
2 years ago
(G1) The distance from Flagstaff Arizona to
Monica [59]

Answer:

A. 418, 418

Step-by-step explanation:

The formula to convert miles to meters is the following:

1 = 1,609.34

so for every 1 mile, you have 1,609.34 meters

so you take your distance in miles and multiply it by 1,609.34

d= 260 x 1,609.34

d = 418, 428.4

5 0
3 years ago
Give an example of two numbers that are both 6-digit numbers,but the greater number is Determined by the hundreds place
VMariaS [17]

perhaps 300,900 and 300,400 ?

5 0
3 years ago
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<span>I'm right.</span>
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