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Dovator [93]
3 years ago
15

The sqaure of a number is always larger than the number​

Mathematics
1 answer:
vampirchik [111]3 years ago
6 0

Answer:

x2>y

Step-by-step explanation:

square is 2 and a number is x x2 and longer is another way for greater than another number witch is y

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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
Rudik [331]

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

6 0
3 years ago
1 and 2 are supplementary.If m1 = (3x-17) and m2= (5x+21) find the value of x
torisob [31]

Answer:

22

Step-by-step explanation:

m1 + m2 = 180

3x - 17 + 5x + 21 = 180

3x + 5x + 21 - 17 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176 / 8

x = 22

7 0
3 years ago
Flour costs $0.80 per pound and sugar costs $0.50 per pound. An order of flour and sugar weighs 15 pounds and costs $9.00. Make
LenaWriter [7]

Answer: x+y=15

0.80x+0.50y=9


Step-by-step explanation:

Let x be the amount of flour and y be the amount of sugar ordered.

Since, the order of flour and sugar weighs 15 pounds.

Therefore, x+y=15

Also, Flour costs $0.80 per pound and sugar costs $0.50 per pound.

The cost of ordered flour=$0.80x

The cost of ordered sugar=$0.50y

Now, the total cost of the order= 0.80x+0.50y=9

Hence, for the given situation the system of equations is:-

x+y=15

0.80x+0.50y=9



8 0
3 years ago
Chung-Li is making cupcakes. He made the table below showing the amount of each ingredient needed for a certain number of cupcak
Korvikt [17]

Answer:

C. (2,3)

Step-by-step explanation:

4 to 6 = 2 to 3

3 0
3 years ago
Read 2 more answers
Pls help giving all my points!! Find the probability of “landing” in the shaded region of the figures below. Round your answer t
34kurt

The probability of landing on the shaded region of the figure is 0.10

<h3>How to find the probability of landing on the shaded region?</h3>

The probability of landing on the shaded region can be calculated as follows;
area of the bigger circle = πr² = 3.14 × 25² = 1962.5 cm²

area of the smaller region = πr² = 3.14 × 8²  = 200.96 cm²

Therefore,

the probability of landing on the shaded region of the figure = 200.96 / 1962.5

the probability of landing on the shaded region of the figure = 0.10

learn more on probability here: brainly.com/question/22200970

#SPJ1

6 0
2 years ago
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