A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is (i)a card of spade or an ace (ii)a red king (iii)neither a king nor a queen (iv)either a king or queen.Thank you.

Answers

Answer 1

Answer: There are 52 cards in a standard deck so that would be the whole in the part/whole equation so
i... There are 13 spade cards and then 3 other aces since there are 4 suits of cards so 16/52 or about 0.30769 or 30.8% rounded

ii....There are 2 reds of each card in a standard deck along with 2 blacks so there would be 2 red kings which would be a 2/52 chance or about 0.0384 or 3.8% rounded

iii.... There are 4 kings and 4 queens in each deck so (52-8)/52 which is a 44/52 chance, 0.8461 about, or 84.6% rounded

iv..., As I said in iii, there are 8 kings and queens so an 8/52 chance, about 0.1538, or 15.4% rounded

Related Questions

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6358 was rounded to the nearest one.What is the lower bound?
Can some one please help me?
Order the Numbers from least to greateat. square root 11, -0.4 continuing, 3.41, - 9 over 20.
there are three people who work full-time and are to work together on a project but their total time on the project is to be equivalent to that of only one person working full-time if one of the people is budgeted for one-half of his time to the project and a second person for one third of her time what part of the third workers time should be budgeted to this project

If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the SAS postulate?

Answers

Δ DUM Δ MAP

hypotenuse: 15 2y-3
short leg: 12 0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.

Answer: DM is congruent to PM

Step-by-step explanation: TOOK QUIZ!!!

X2+4x+3=0 what is the quadratic

Answers

$\sf\ For\ ax^2+bx+c=0\ the\ quadratic\ formula\ is\ x=\frac{-b\± \sqrt{b^(2)-4ac} }{2a}.\nYou\ can\ use\ this\ formula\ to\ solve\ the\ problem.\n\n\n\nI'm\ presuming\ that\ your\ equation\ is\ x^2+4x+3=0\n\n\n\na=1\n\n\ b=4\n\n c=3\n\n\n\nPlug\ it\ in\ the\ quadratic\ formula.\n\n\n\nx=\frac{-b\± \sqrt{b^(2)-4ac} }{2a}\n\nx=\frac{-(4)\± \sqrt{(4)^(2)-4(1)(3)} }{2(1)}\n\nx=(-4\± √(16-4(3)) )/(2)\n\nx=(-4\± √(16-12) )/(2)\n\nx=(-4\± √(4) )/(2)\n\nx=(-4\±2)/(2)$

$\sf\ So\ now\ we\ have\ x=(-4+2)/(2)\ and\ x=(-4-2)/(2).\n\n\n\nx=(-4+2)/(2)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=(-4-2)/(2)\n\nx=(-2)/(2)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=(-6)/(2)\n\nx=-1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-3\n\n\n\n{\boxed{\sf\ x=-1\ \ or\ \ x=-3}$

The data set represents the most recent sale price, in thousands of dollars, of ten homes on a street.85 91 93 99 99 99 102 108 110 115
What is the MAD?

Group of answer choices

6.92 (in thousands of dollars) or $6,920

7.84 (in thousands of dollars) or $7,840

4.35 (in thousands of dollars) or $4,350

8.96 (in thousands of dollars) or $8,960

Answers

Answer:

Step-by-step explanation:

To calculate the Mean Absolute Deviation (MAD) for a set of data, follow these steps:

1. Find the mean (average) of the data set by adding up all the values and dividing by the total number of values. In this case, the sum of the values is:

85 + 91 + 93 + 99 + 99 + 99 + 102 + 108 + 110 + 115 = 1001

Dividing 1001 by 10 (the number of values) gives us the mean:

1001 / 10 = 100.1

2. Subtract the mean from each value in the data set and take the absolute value of the result. This gives us the deviation of each value from the mean. For example, the deviation of the first value (85) from the mean (100.1) is:

|85 - 100.1| = 15.1

Repeat this step for all the values in the data set.

3. Calculate the average of these deviations to find the Mean Absolute Deviation. Add up all the deviations and divide by the total number of values. In this case, the sum of the deviations is:

15.1 + 8.9 + 6.9 + 0.9 + 0.9 + 0.9 + 1.9 + 7.9 + 9.9 + 14.9 = 77.1

Dividing 77.1 by 10 (the number of values) gives us the Mean Absolute Deviation:

77.1 / 10 = 7.71

Therefore, the correct answer is not listed among the given options. The MAD for the given data set is approximately 7.71 (in thousands of dollars) or $7,710.

Is this correct? The answer I picked was the only one that had no limit. If I did it correctly the other choices limit was zero.

Answers

Step-by-step explanation:

These are all examples of p-series:

∑(1 / nᵖ), where p>0.

If p > 1, the series converges. If 0 < p ≤ 1, the series diverges.

First option:

∑(1/n⁵)

Here, p = 5. Since 5 > 1, the series converges.

Second option:

∑((√n+3)/n³)

∑((√n)/n³) + ∑(3/n³)

∑(1/n^2.5) + 3 ∑(1/n³)

In the first sum, p = 2.5. In the second sum, p = 3. Both are greater than 1, so the series converges.

Third option:

∑((n−4)/(n⁴√n))

∑(1/(n³√n)) − ∑(4/(n⁴√n))

∑(1/n^3.5) − 4 ∑(1/n^4.5)

In the first sum, p = 3.5. In the second sum, p = 4.5. Both are greater than 1, so the series converges.

Fourth option:

∑(1/∛n)

∑(1/n^⅓)

Here, p = ⅓. This is less than 1, so the series diverges.

Note: if a series is converging, then the limit is 0.

However, if the limit of a series is 0, it does not necessarily mean that series is converging.

Here, the limit of all 4 options is 0. However, the fourth option is a diverging series.

-2x+5y=-15 5x+2y=-6 how many solutions does this system have

Answers

Answer:

Step-by-step explanation:

-2x + 5y = -15

5x + 2y = -6

-10x + 25y = -75

10x + 10y = -30

35y = -105

y = -3

5x + 2(-3) = -6

5x - 6 = -6

5x = 0

x = 0

(0, -3)

one solution

Answer:

one solution

Step-by-step explanation:

took the test

A music festival charges $54.95 per ticket sold on the day of the event. A ticket purchases before the festival costs only $39.95. They were 20,000 tickets sold for a total of 925,000. How many tickets did they sell at the music festival? How many tickets do they sell before the music festival?

Answers

b=number of ticets sold before
a=number of tickets sold after

cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a

total cost=925000
39.95b+54.95a=925000

total number tickets=20000
b+a=20000

we have

39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
-39.95b-39.95a=-799000 +
0b+15a=126000

15a=126000
divide bot sides by 15
a=8400

sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600

11,600 tickets sold before
8400 tickets sold after

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