The probability of drawing a spade or a king from a shuffled 52-card deck is calculated by adding the individual probabilities of drawing a spade and drawing a king, then subtracting the probability of drawing a king that is also a spade. The resulting probability is approximately 0.308, or 30.8%.
Explanation:To answer the question of what is the probability of drawing a spade or a king from a well-shuffled 52-card deck, we need to identify the possible successful outcomes and divide them by the total number of outcomes. A standard deck consists of four suits: clubs, diamonds, hearts, and spades. Each suit consists of 13 cards, so there are 13 spades. Four of these are kings because there's one king in each suit.
First calculate the probability of drawing a spade:
P(spaes) = Number of spades / Total cards in deck = 13/52 = 1/4 = 0.25
Next calculate the probability of drawing a king:
P(king) = Number of kings / Total cards in deck = 4/52 = 1/13 ≈ 0.077
However, we have a slight overlap because a king could also be a spade. Hence, we subtract the probability of drawing a card which is both king and spade:
P(king and spade) = Number of king of spades / Total cards in deck = 1/52 ≈ 0.019
Thus, the probability of drawing a spade or a king is given by the equation:
P(spade or king) = P(spade) + P(king) - P(spade and king) = 0.25 + 0.077 - 0.019 = 0.308
So, the probability of drawing a spade or a king from a shuffled 52-card deck is approximately 0.308, or 30.8%.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ3
Select the correct scientific notation form of this numeral using only 2 significant figures. 482.65
To write 482.65 in scientific notation with two significant figures, round the number to 480 and move the decimal point two places to the right, resulting in 4.8 x 10^2.
Explanation:To write the given number 482.65 in scientific notation with two significant figures, we first determine the number of significant figures in the original number, which is five. Since we need to express it in two significant figures, we round the number to 480. Then, we move the decimal point to the right until we have a number between 1 and 10. In this case, we need to move it two places to the right, resulting in the scientific notation form of 4.8 x 10^2.
Tyler is 5 years younger than three times his cousin Lejla's age. Tyler is 40 years old. Let l represent Lejla’s age. During the Strategize step of the five-step problem-solving plan, which expression would you use to represent Tyler’s age?
a) 5l−3
b) 3l−5
c) 3l−40
d) 3l + 5
Answer:
The answer is B
Step-by-step explanation:
Simplify.
-2(3)² - 8 ÷ 2 + 6
A) -18
B) -16
C) -7
D) 7
Please help
The figure below shows the quotient of fraction 3 over 5 Division sign fraction 2 over 5 using a rectangle model.
What is the quotient?
fraction 1 and 2 over 3
fraction 1 and 1 over 2
fraction 1 and 1 over 3
fraction 1 and 1 over 5
Answer:
1 1/2
Step-by-step explanation:
As shown, Suzi starts her hike at an elevation below sea level.whaen she reaches the end of the hike,she still below sea level at -127 feet. What was the change in elevation from the beginning of suzi's hike to the end
(Current elevation: -225 feet )
Current Position of Suzi below Level = -225 Feet
Now, Suzi Started her Hike
Position of Suzi after taking Hike from her initial Position= -127 feet
The change in elevation from the beginning of suzi's hike to the end
= -127 -(-225)
= -127 +225
= 98 feet
The change in elevation from the beginning of suzi's hike to the end=98 feet
Which of the following statements best describes the location of −(−5) on a number line?
How much is the rate.i need help
How many tens are in 2,430
Which of the following is a net of a rectangular prism?
A. Z
B. X
C. W
D. Y
A horse ran 800 meters in 40 seconds, 1,200 meters in 60 seconds,and 480 meters in 24 seconds. Is this a proportional relationship? If so, what is the constant of proportionality? What does it represent. Write an equation to represent the distance d , in meters, that the horse runs in t seconds
The given data is in proportion. Therefore, an equation to represent the distance d ,in meters, that the horse runs in t seconds is d=20t.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, a horse ran 800 meters in 40 seconds, 1,200 meters in 60 seconds and 480 meters in 24 seconds.
Here,
800/40 =20, 1200/60 =20 and 480/24=20
Now, in proportional relationship d∝t
d=kt
800=k×40
k=20
d=20t
The given data is in proportion. Therefore, an equation to represent the distance d ,in meters, that the horse runs in t seconds is d=20t.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ6
How solve linear equations y=mx+b from a graph ?
A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dollars in profit last year.
How many times greater is the profit made by the entire chain last year than by this particular store?
Drag and drop the values into the boxes to represent the answer in scientific notation
0.145 1.45 145 10^2 10^14 10^48
_____ x _____ Greater
We have been given that a popular chain of superstores made [tex]3.0479\text{x}10^{8}[/tex] dollars in profit last year. Also, we know that one particular store in the chain made [tex]2.102\text{x}10^{6}[/tex] dollars in profit last year.
Now, in order to figure out how many times greater is the profit made by the entire chain last year than by this particular store, we will divide the profit made by the entire chain by the profit made by the given particular store.
[tex]\frac{3.0479\text{x}10^{8}}{2.102\text{x}10^{6}}=\frac{3.0479}{2.102}\text{x}10^{8-6}=1.45\text{x}10^{2}[/tex]
Therefore, the required answer is: [tex]1.45\text{x}10^{2}[/tex]
Which graph represents the solution set of the system of inequalities?
−3x+y>1
y≥x−1
Answer:
Option D is the correct choice.
Step-by-step explanation:
We have been given a system of inequalities. We are asked to choose the graph that represents solution set of the given system.
[tex]-3x+y>1[/tex]
[tex]y\geq x-1[/tex]
The boundary line of [tex]-3x+y>1[/tex] will be a dotted line as it has a [tex]>[/tex] sign. The boundary line of this inequality will cross y-axis at point (0,1) and will have a slope of 3.
The boundary line of [tex]y\geq x-1[/tex] will be a solid line as it has a [tex]\geq[/tex] sign. The boundary line of this inequality will cross y-axis at point (0,-1) and will have a slope of 1.
Now, we will check point (0,0) in both inequalities to find the shaded region.
[tex]y\geq x-1[/tex]
[tex]0\geq 0-1[/tex]
[tex]0\geq -1[/tex]
Point (0,0) satisfies inequality [tex]y\geq x-1[/tex], so shaded region will be area including point (0,0)
[tex]-3(0)+0>1[/tex]
[tex]0+0>1[/tex]
[tex]0>1[/tex]
Point (0,0) doesn't satisfy inequality [tex]-3x+y>1[/tex], so shaded region will be area excluding point (0,0).
The solution set of given system of inequalities will be area of included in both inequalities.
We can see that last option is the correct choice as it has one dotted line (y-intercept 1) and one solid line (y-intercept -1).
Therefore, option D is the correct choice.
Answer:
The bottom choice one the right is correct
Step-by-step explanation:
Hope this helps :)
Write the perimeter of the floor plan shown as an algebraic expression in x.
Points (−3, 5) and (3, 5) on the coordinate grid below show the positions of two players on a tennis court:
Which statement best describes the relationship between the positions of the two players?
Player 2's position is Player 1's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 2's position is Player 1's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 2's position is Player 1's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Answer:
"Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different."
Step-by-step explanation:
what is62% of 25????????????????
The graph of the equation y= 1
/2
x - 3 is shown. Determine the value of y for the point (4, y).
A)
-2
B)
-1
C)
0
D)
1
Vicky went to the store for her mom. She bought a loaf of course bread for $2.73, a bag of cookies for $4.19, and a dozen eggs for $2.97. What was the total cost of the items?
A grandmother says her grandson is two years older than her granddaughter and that togther, they are at least 12 years old. how old are her grandson and granddaughter
Micah divided 47 2/3 by 11 5/6 and got 4 2/71 for an answer. Does his answer seem reasonable? Explain your thinking. Then check Micah's answer.
Mrs taylor gave each of her students 75 pieces paper at the beginning of the school year if there are 32 students in her class how many pieces of paper did she give out altogether
How many ways can four stamps be attached
Do you think the difference of 1.4 - 0.95 is less than one or greater than one? PLEASE HELP ME
8 oranges cost $1 how much do 2 dozen oranges cost?
In a sale price of bag is reduced to 1/5.sale price is 29.40.work out the original price
8+4a+6.2−9a simplify
576,000 in standard form
Which Expression is equivalent to 5−3(4−1)?
a. -12x + 3
b. 5x - 11x
c. -7x + 3
d. 17x + 1
20 Points!
*Quick answer please
Mr. Harding sold 100 shares of stock at $14 per share. He had a loss of $6 per share. What did Mr. Harding pay for each share of the stock?
I didn't understand the question very well. I mostly need to know what the question is asking..
Erica had 6 coins in her coin collection. she goes to a coin show and buys some coins. how many dose she have now?