All categories

2 years ago

What is the probability of drawing a two or three from a deck of 52 cards.

Mathematics

1 answer:

enyata [817]2 years ago

5 0

Answer: 8/52 = 4/26 = 2/13
* There are four deuces and four threes inside a full deck*

You might be interested in

A flower shop sells tulips and roses. The price of each tulip is the same and the price of each roses the same. One customer bou

Talja [164]

Answer: it cost a customer $7.25 to buy five tulips and $10.5 to buy six roses.

Step-by-step explanation:

Let x represent the cost of 1 tulip.

Let y represent the cost of 1 rose.

The price of each tulip is the same and the price of each roses the same. One customer bought seven tulips and nine roses for $25.90. This means that

7x + 9y = 25.9 - - - - - - - - - - - - - - 1

Another customer bought for four tulips and eight roses for $19.80. This means that

4x + 8y = 19.8- - - - - - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 7, it becomes

28x + 36y = 103.6

28x + 56y = 138.6

Subtracting, it becomes

- 20y = - 35

y = - 35/ - 20

y = 1.75

Substituting y = 1.75 into equation 2, it becomes

4x + 8 × 1.75 = 19.8

4x + 14 = 19.8

4x = 19.8 - 14 = 5.8

x = 5.8/4

x = 1.45

The cost of 5 tulips would be

1.45 × 5 = $7.25

The cost of 6 roses would be

1.75 × 6 = $10.5

7 0

3 years ago

Which expression is equivalent to 5x-30? A. 5(x-30) B. 5(x-6) C. 5x(x-6) D. x(5-30)

maxonik [38]

The answer is B because 5 times x is 5x and 5 times 6 is 30. Since there is a subtraction sign, it would be equal to 5x-30

7 0

3 years ago

Read 2 more answers

What property does the statement show? (4x8)x3=(8x4)x3

Mariana [72]

1. commutative property states that : a + b = b + a

2. 3x - 5 = 5x - 17 -- add 5 to both sides 
3x = 5x - 17 + 5 -- subtract 5x from both sides 
3x - 5x = -17 + 5 -- combine like terms 
-2x = -12 -- divide both sides by -2 
x = 6 

3. slope formula : slope = (y2 - y1) / (x2 - x1) 
(3,-1) x1 = 3 and y1 = -1 
(-2,-5) x2 = -2 and y2 = -5 
now we sub 
slope = ((-5 - (-1)) / (-2 -3) 
slope = (-5 + 1) / -5 
slope = -4/-5 
slope = 4/5 

4. x = first integer 
x + 2 = 2nd integer 
x + x + 2 = 80 -- combine like terms 
2x + 2 = 80 -- subtract 2 from both sides 
2x = 80 - 2 
2x = 78 -- divide both sides by 2 
x = 39 <== this is the smallest number 
x + 2 = 41 

5. p = 1/2g - 3 

6. The union of two sets is all the numbers in both sets, no need to copy the same number more then once. Answer is : (1,2,3,4,5,6,8,10) 

7. 2x + 3y <= 6 -- put in y = mx + b form 
3y <= -2x + 6 
y <= -2/3x + 2 
In y = mx + b form, the y intercept is in the b position. So the y intercept is (0,2) 
To find the x intercept, sub in 0 for y (change inequality sign to equal sign) 
2x + 3y = 6 
2x + 3(0) = 6 
2x = 6 
x = 3 
x intercept is (3,0) 
So plot your points (3,0) and (0,2) 
Connect the points with a solid line because there is an equal sign in there. 
Shade below the line because it is less then. 

8. 3x + 6y = 8 
6y = -3x + 8 
y = -1/2x + 4/3 

y = 2x - 8 

Perpendicular lines have negative reciprocal slope. All that means is " flip " the slope and change the sign. The slope in these equations are -1/2 and 2. These are negative reciprocals of each other. 

9. 7x + 3y - 2 + 6x + 1 + y^2 
y^2 + 3y + 13x - 1 

10. (0,6) x1 = 0 and y1 = 6 
(3,0) x2 = 3 and y2 = 0 
slope(m) = (y2 - y1) / (x2 - x1) 
slope(m) = (0 - 6) / (3 - 0) 
slope(m) = -6/3 
slope(m) = -2 

y = mx + b 
(0,6) x = 0 and y = 6 
6 = 0(-2) + b 
6 = b 

your equation is : y = -2x + 6 (slope intercept form) 
2x + y = 6 (standard form) 

11. x + y = 5 -- put this in y = mx + b form, and the m position is your slope 
y = -x + 5 (-x is the same as -1x) so your slope is -1 

12. 4y = 8x - 3 -- put in y = mx + b form, and the b stands for the y intercept 
y = 8/4x - 3/4 
y = 2x - 3/4 (the y intercept is -3/4 

13. |a| + b --- (a = -1.4 and b = -2.7) 
absolute values, whether they have a negative or not, they are always positive 
|a| + b 
|-1.4 | + (-2.7) 
1.4 - 2.7 = -1.3 <== your answer 

14. I cannot see the problem 

15. -4 < 2t <= 2 --- divide everything by 2 
-2 < t <= 1 
open circle on -2, closed circle on 1, shading in between 

16. x + 2y = -9 ---> x = -2y - 9 
now sub -2y - 9 in for x in the other equation 
4x - 2y = 14 
4(-2y - 9) - 2y = 14 -- distribute through the parenthesis 
-8y - 36 - 2y = 14 -- add 36 to both sides 
-8y - 2y = 14 + 36 combine like terms 
-10y = 50 -- divide by -10 
y = -5 
now sub -5 in for y in either of the original equations 
x + 2y = -9 
x + 2(-5) = -9 
x - 10 = -9 
x = -9 + 10 
x = 1 
answer : x = 1 and y = -5 or (1,-5) 

I was really bored so I thought I would just help out :)

3 0

3 years ago

Read 2 more answers

A random experiment was conducted where a Person A tossed five coins and recorded the number of ""heads"". Person B rolled two d

cestrela7 [59]

Answer:

(10) Person B

(11) Person B

(12) $P(5\ or\ 6) = 60\%$

(13) Person B

Step-by-step explanation:

Given

Person A $\to$ 5 coins (records the outcome of Heads)

Person $\to$ Rolls 2 dice (recorded the larger number)

Person A

First, we list out the sample space of roll of 5 coins (It is too long, so I added it as an attachment)

Next, we list out all number of heads in each roll (sorted)

$Head = \{5,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,0\}$

$n(Head) = 32$

Person B

First, we list out the sample space of toss of 2 coins (It is too long, so I added it as an attachment)

Next, we list out the highest in each toss (sorted)

$Dice = \{2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6\}$

$n(Dice) = 30$

Question 10: Who is likely to get number 5

From person A list of outcomes, the proportion of 5 is:

$Pr(5) = \frac{n(5)}{n(Head)}$

$Pr(5) = \frac{1}{32}$

$Pr(5) = 0.03125$

From person B list of outcomes, the proportion of 5 is:

$Pr(5) = \frac{n(5)}{n(Dice)}$

$Pr(5) = \frac{8}{30}$

$Pr(5) = 0.267$

From the above calculations:  $0.267 > 0.03125$  Hence, person B is more likely to get 5

Question 11: Person with Higher median

For person A

$Median = \frac{n(Head) + 1}{2}th$

$Median = \frac{32 + 1}{2}th$

$Median = \frac{33}{2}th$

$Median = 16.5th$

This means that the median is the mean of the 16th and the 17th item

So,

$Median = \frac{3+2}{2}$

$Median = \frac{5}{2}$

$Median = 2.5$

For person B

$Median = \frac{n(Dice) + 1}{2}th$

$Median = \frac{30 + 1}{2}th$

$Median = \frac{31}{2}th$

$Median = 15.5th$

This means that the median is the mean of the 15th and the 16th item. So,

$Median = \frac{5+5}{2}$

$Median = \frac{10}{2}$

$Median = 5$

Person B has a greater median of 5

Question 12: Probability that B gets 5 or 6

This is calculated as:

$P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}$

From the sample space of person B, we have:

$n(5\ or\ 6) =n(5) + n(6)$

$n(5\ or\ 6) =8+10$

$n(5\ or\ 6) = 18$

So, we have:

$P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}$

$P(5\ or\ 6) = \frac{18}{30}$

$P(5\ or\ 6) = 0.60$

$P(5\ or\ 6) = 60\%$

Question 13: Person with higher probability of 3 or more

Person A

$n(3\ or\ more) = 16$

So:

$P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Head)}$

$P(3\ or\ more) = \frac{16}{32}$

$P(3\ or\ more) = 0.50$

$P(3\ or\ more) = 50\%$

Person B

$n(3\ or\ more) = 28$

So:

$P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Dice)}$

$P(3\ or\ more) = \frac{28}{30}$

$P(3\ or\ more) = 0.933$

$P(3\ or\ more) = 93.3\%$

By comparison:

$93.3\% > 50\%$

Hence, person B has a higher probability of 3 or more

7 0

2 years ago

6. A hot air balloons each descend 100 feet per minute for 5 minutes. Find the total change in altitude for the hot air balloon.

monitta

Answer:

Step-by-step explanation:

7 0

3 years ago