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3 years ago

Is (-3,2) a solution of the equation x + y = 3?

Mathematics

2 answers:

kobusy [5.1K]3 years ago

6 0

Answer:

Step-by-step explanation:

plug the numbers in.

(‐3) + (2) = 3

-1 is not equal to 3.

Hitman42 [59]3 years ago

3 0

No it is not a solution.

explanation:
-3+2=3
-1=3
not a solution

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Find the unit rate for 6 and 2/5 cookies in 4 minutes

Wewaii [24]

Answer:

Step-by-step explanation:

6 2/5 cookies in 4 mins

To find the unit rate in minutes, divide 6 2/5 and 4 by 4.

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To find the unit rate in cookies, we divide by 6 2/5.

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3 years ago

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3 years ago

Solve the equation for x. 3x = 15

BigorU [14]

Answer:

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Step-by-step explanation:

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3 years ago

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4 years ago

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Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 1 ace, 1 two, 1 three, 1 four, and 1

labwork [276]

Answer:

Step-by-step explanation:

As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.

Number of ways to draw 5 cards = $N_T$

$N_T\;=\;({}^NC_k)\\\\N_T\;=\;({}^{52}C_5)\\\\N_T\;=\;2,598,960$

(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).

$P(a)\;=\;\frac{20}{52}*\frac{4}{52}*\frac{4}{51}*\frac{4}{50}*\frac{4}{49}*\frac{4}{48}\\\\P(a)\;=\; 1.3133*10^{-6}$

(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are $({}^{10}C_1)$ .

For each card we can draw from any of the 4 sets. It can be described mathematically as: $({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)\;=\;[({}^{4}C_1)^5]$

Therefore, the total outcomes for drawing straight are:

$N_S\;=\;({}^{4}C_1)*({}^{4}C_1)^5\;=\;10240$

Thus, the probability of getting a straight hand is:

$P(b)\;=\;\frac{N_S}{N_T}\\\\P(b)\;=\;\frac{10240}{2598960}\\\\P(b)\;=\; 0.0039$

7 0

3 years ago