what is the probability of drawing a 9 or diamond from a standard deck of cards?
Explanation:
In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).
Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 9.
With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).
Our denominator here is 52 - the number of cards from which we can pull 1.
Our numerator is both all the diamonds, 13 cards, and all the nines, 4 cards, but we need to subtract 1 to account for the double counting of the 9 of diamonds.
In all we get:
13+4 - 1/52 =
≈ 16/52
=4/13
Answer: 0.3077
Probabilities are used to determine how likely an event is, to happen. The probability of drawing a 9 or diamond is: 4/13
In a standard deck of cards, we have:
[tex]n = 52[/tex] --- There are 52 cards in total
[tex]n(9) = 4[/tex] ---- Cards with number 9 are 4
[tex]n(Diamond) =13[/tex] ---- there are 13 diamonds
[tex]n(9\ n\ Diamond) = 1[/tex] ---- Diamond cards with number 9
The probability of drawing a 9 or diamond is:
[tex]P(9\ or\ Diamond) = P(9) + P(Diamond) - P(9\ n\ Diamond)[/tex]
So, we have:
[tex]P(9\ or\ Diamond) = \frac{n(9)}{n} + \frac{P(Diamond)}{n} - \frac{n(9\ n\ Diamond)}{n}[/tex]
This gives:
[tex]P(9\ or\ Diamond) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52}[/tex]
Take LCM
[tex]P(9\ or\ Diamond) = \frac{4+13-1}{52}[/tex]
[tex]P(9\ or\ Diamond) = \frac{16}{52}[/tex]
Simplify
[tex]P(9\ or\ Diamond) = \frac{4}{13}[/tex]
Hence, the probability of drawing a 9 or diamond is: 4/13
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A car dealership increase the price every swing her by 6% devotional price was $37,800. What is the new price?
write the new price in terms of the original price write your answer as a decimal
Answer:
$40,068 no decimals enclode in itIf 3x+2=6 what is the value of x
Answer:
x=1.33
Step-by-step explanation:
3x+2=6
3x=4
x=[tex]\frac{4}{3}[/tex]
x=1.33
to check your answer
3 x 1.33 + 2=6
3.99+2=6
5.99=6
6=6
Which ordered pair is in the solution set of y≥13x+4 ?
(-6,1)
(-1,6)
(6,-1)
Answer:
first one
Step-by-step explanation:
Express 0.495 in standard form
Answer:
4.95 x 10^-1
Step-by-step explanation:
4.95 x 10^-1
which is the area of a circle with a diameter of 7 units? (use 3.14 for pi)
Answer:
The area of circle = πR ^2
And diameter = 7 units
By interchanging d in R =d/2 = R =7/2 = 3.5
Step-by-step explanation:
πR ^2 =3.14 x (3.5)^2 =3.14 x 3.5 x 3.5 =38.465 (unit)^2 AnswerHope it's help ^_^
Choose a number that is a factor of 900. 25, 27, 31, 32, 44, 45
Answer:
25 is a factor of 900
Step-by-step explanation:
900/25= 36
Find the circumference of the given circle use 3.14 pie and 7 in diameter
Answer:
43.98
Step-by-step explanation:
2piR
BTW the 7 is the radius not the diameter
what’s the slope of the line?
Answer:
(0,0)
Step-by-step explanation:
If you know this pls give me the answer, thank u!
Answer:
it's SSS
Step-by-step explanation:
two parallel lines and one diagonal
Equivalent fractions of 23,479 to 782
Answer:
93912/391
Step-by-step explanation:
i think its 93912/391
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A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6+15b+4=25.6 Select all equations that are also equivalent to 0.6+15b+4=25.6
Step-by-step explanation:
Given that,
When a cardboard box is empty, its weight is 0.6 pounds.
It is filled with 15 bags of beans and a 4-pound bag of rice.
The total weight of the box and the contents inside it is 25.6 pounds.
Let the weight of 15 bean bags is 15b. The given scenario can be represented by the equation as follows :
0.6+15b+4=25.6 ....(A)
Taking like terms together,
15b=25.6-0.6-4 ...(1)
15b = 21 ....(2)
Equation (1) or (2) can be the equivalent equation for the equation (A).
PLS HELP 50 POINTS IF YOU DONT KNOW DONT ANSWER THE QUESTION
Answer:
It is C or t < 6
Step-by-step explanation:
The line starts at 6 and goes left. The way I remember which way it goes is the greater than or less than sign looks like the tip to the arrow
< ---- and ---- >
It is an open circle so it will not be a greater than or equal to sign
PLEASE ASAP QUICK THX
Step-by-step explanation:
[tex] \bf \huge \red{Answer:-}[/tex]
The animal shelter had a special on adoption rates for their dogs and cats. Each dog adoption fee was $75 and each cat adoption fee was $35. On Christmas Eve, the animal adopted out 8 total animals and brought in $400 in total adoption fees. How many dogs and how many cats were adopted out on Christmas Eve?
dogs:
cats:
Answer:
3 dogs and 5 cats were adopted out on Christmas eve.
Step-by-step explanation:
Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.
From the question,
On Christmas Eve, the animal adopted out 8 total animals
That is, x + y = 8 ...... (1)
and brought in $400 in total adoption fees.
Also from the question,
Each dog adoption fee was $75 and each cat adoption fee was $35.
∴ On Christmas Eve,
75x + 35y = 400 ...... (2)
Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.
From equation (1)
x + y = 8
Make x the subject of the relation.
∴ x = 8 - y ...... (3)
Substitute the value of x into equation (2)
75(8 - y) + 35y = 400
600 - 75y + 35y = 400
600 -40y = 400
600 - 400 = 40y
200 = 40y
∴ 40y = 200
y = 200/40
y = 5
Substitute the value of y into equation (3)
x = 8 - y
x = 8 - 5
x = 3
∴ x = 3 and y = 5
Hence, 3 dogs and 5 cats were adopted out on Christmas eve.
Which transformations will change Figure A into Figure B?
rotate 180° about the origin, dilate by a scale
factor of
rotate 180° about the origin, dilate bya scale
factor of
A
reflect over the line y = , dilate bya scale
factor of
reflect over the line y = T, dilate by a scale
factor of
Answer:
the second answer should be correct
Step-by-step explanation:
:)
Answer:
second option
Step-by-step explanation:
Given the polynomial 5x3−2x2+12, what is the leading coefficient?
******( I"LL GIVE YOU BRAINIEST)!!!******
A. -2
B. 3
C. 5
D. 12
Answer:
a.2
Step-by-step explanation:
cuanto es 100 chorizos más un choriszo
Answer:
No se
Step-by-step explanation:
Branliest! Please I'm beggin you! Help me!!!
The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?
Answer:
How does she make 14 pound servings with 5 pounds ?
Answer:
4/5
Step-by-step explanation:
cus i said so
HELPPPPPPPP T^T I NEED AN ANSWER!!!! IS THE QUESATIN A OR C
Answer:
Commutative
Please, mark as brainliest
660 divided by 15 is the same as?
Answer:
44
Step-by-step explanation:
Just divide 660 by 15 to get 44.
What is the best description of slope (m) in a word problem?
The total at a certain time
The starting point
The rate of change
The amount of time
Answer:
Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.
Step-by-step explanation:
ayeeeeee who watched "the voice" tonight
ayeeeeeeeee not meeee
not me butt ayyyy whos failing school :)
PLEASE HELP WILL MARK BRAINLIEST
Answer:
A Plus Plumbing
Step-by-step explanation:
60(2)+80 = 120+80 = 200 < 250
Answer:
A- plus plumbing
Step-by-step explanation:
hope this helps
coordinates of the midpoints of (-9,5) and (21,-7)
Answer:
wait what are we measuring I would need to see the graph to know
Answer:
(6,-1)
Step-by-step explanation:
5-(-7) = 12/2 = 6 so 6 units from 5 is -1 and 21-(-9) is 30/2=15 so 15 from 21 is 6
Write the linear equation in slope-intercept form.
-6x + y = 19
default dance on em lol
Answer:
600/(12*60)=0.83 per minute
what is the cube root of 64
Answer:
the cube root of 64 is 3√64=4.
Step-by-step explanation:
Hope it's answer you plz mark as Brainlist
8. It takes Juan 40 minutes to walk 2.5 miles to the park. At this rate, how many minutes
should it take him to walk 4 miles? HELPP PLZ!!!
Answer:
64 minutes
Step-by-step explanation:
40 divided by 2.5 = 16
4 times 16 = 64 minutes
It will take 64 minutes to walk 4 miles.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, Juan walks 2.5 miles in 40 minutes.
2.5 miles = 40 minutes
1 mile = 40/2.5 minutes
4 miles= (40/2.5)4 minutes
4 miles = 64 minutes.
Hence, It will take 64 minutes to walk 4 miles.
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What is the area of ΔXYZ below?
Select the best answer from the choices provided. A. 9√3 4 B. 9√3 3 C. 9√3 2 D. 9√3
Step-by-step explanation:
We need to find the height of the triangle first.
Height=>sin(60°)=h/3 but sin(60°)=√3/2
h=3×√3/2=3√3/2
Area=½×base×height
A=½×3×3√3/2
A=9√3/4
Answer is option A