A dealer dealt the following cards from a shuffled deck: 3 , 2 , 2 , A , K , Q , K , 5 , 2 , 6 4 , 5 , K , 2 , 7 , 6 , A , J , J , A What was the experimental probability of dealing a black card?
Answers
Answer:
Total number of cards in shuffled deck=3 , 2 , 2 , A , K , Q , K , 5 , 2 , 6, 4 , 5 , K , 2 , 7 , 6 , A , J , J , A .
Total number of cards in a deck of card = 52 cards, out of which 26 are black cards and 26 are red card.
As, it is not given that out of the 20 cards dealt by dealer is either red card or black card.
A=3=2B +1 R or 1 B + 2 R
2=4=2 R +2 B
3=1=1 R or 1 B
4=1=1R or 1 B
5=2=2 R or 2 B
6=2=2 R or 2 B
7=1=1 R or 1 B
8=0
9=0
10=0
J=2= 2 R or 2 B
K=3= 2 R + 1 B or 1 R +2 B
Q=1=1 R or 1 B
If you count total number of black cards among the number of cards dealt by dealer, the possibilities of black card drawn is either 15 or 16 from 20 cards drawn.
As, Experimental probability is the probability obtained through experiment which is different from theoretical Probability.
Total number of cards =52
So, Probability of dealing with black cards by dealer which is either 15 or 16 in number is given by
[tex]=\frac{\text{total favorable outcome}}{\text{total possible outcome}}\\\\\frac{15}{52} {\text{or}} \frac{16}{52}=\frac{4}{13}.[/tex]
40%
Step-by-step explanation:There are 20 cards in total.
8 are black: 3,2,K,5,6,4,A,J
12 are red: 2,A,K,Q,2,5,K,2,7,6,J,A
so that means 8 of the 20 are black or 8/20
and 8/20 is 40% which is your answer.
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[tex]\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}} \\\\\\ \stackrel{mixed}{3\frac{3}{7}}\implies \cfrac{3\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{24}{7}}\\\\ -------------------------------\\\\ \cfrac{19}{8}+\cfrac{24}{7}\impliedby \textit{so our LCD is just 56}\implies \cfrac{(7\cdot 19)~+~(8\cdot 24)}{56} \\\\\\ \cfrac{133+192}{56}\implies \cfrac{325}{56}\implies 5\frac{45}{56}[/tex]
Multiply and give the answer in scientific notation: (2.3 x 10^-3) (3 x 10^8 =
A. 6.9 x 10^5
B. 6.9 x 10^11
C. 6.9 x 10^-5
D. 6.9 x 10^24
PLEASE HELP!!
Answers
2.3(10−3)(3(108))=2.3(11000)(3(108))=0.0023(3(108))=0.0023(3)(100000000)=(0.0023)(300000000)=690000
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its a i did test and got it right
Find the value of x and the value of y.
A.
x = 10, y = 130
B.
x = 65, y = 10
C.
x = 65, y = 130
D.
x = 130, y = 10
Answers
the 2 angls need to equal 180 degrees
so 2x-y + 60 = 180
and 2x+y + 40 = 180
using the choices you have
answer is B x = 65, y = 10
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How is adding 4.56 + 2.31 similar to adding $2.31 + $4.56?
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I thought of a number, then divided it by another number, and got a result of 7. Think of the possible values for my number and the number I divided it by. What number is impossible to divide by? What number can my original number not be?
My number is a multiple of ?
The number I divided my number by can be any number but ?
My number cannot be a number which we cannot divide by ?
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And the second unknown number be [tex]y[/tex]
We know that [tex]x[/tex] ÷ [tex]y[/tex] = 7
My number is a multiple of 7 and also multiple of [tex]y[/tex]
This is because of 7 × [tex]y[/tex] = [tex]x[/tex]
-----------------------------------------------------------------------------------------------------------
The number I divided my number by can be any number but ZERO
Because [tex]x[/tex] ÷ 0 is undefined
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My number cannot be a number which we cannot divide by SEVEN
Because [tex]x[/tex] ÷ [tex]y[/tex] = 7, so [tex]x [/tex] must be divisible by 7 to obtain [tex]y[/tex]
[tex] \frac{x}{y} =7[/tex]
[tex] \frac{x}{7} =y[/tex]
[tex]7y=x[/tex]
A scatterplot is produced to compare the size of a lake to the number of fish that are in it. There are 15 data points, each representing a different lake. The points are widely dispersed on the scatterplot with no pattern of grouping. Interpret what the results of the scatterplot tell you about the relationship between the two variables.
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Based on the dispersion of the scatterplot, we can infer that there is no relationship between the variables.
Relationships in scatterplots Data points are used to predict relationships. If a line can be drawn based on these data points, then a relationship exists.The fact that these data points are dispersed however and offer no form of grouping, means that the variables are not related and show no correlational trend.
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Evaluate 3(y-5) for y=7
Please help
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3(7-5)
3(2)
6
The answer is 6. I hope this helps love!:)
3(2)= subtract 5 from 7
6 multiply 3 times 2
put these in order from the smallest
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Answers
A = 6 to the power of 2, which is 36
B = 3 to the power of 4, which is 81
C = 2 to the power of 5, which is 32
D = 5 to the power of 3, which is 125
Therefore, the order is C, A, B, D
Hope that helped!
From least to greatest.
1. 6^2= 36
2. 3^4 = 81
3. 5^3 = 125
4. 2^5 = 128
Cassie has 1/2 pound of sugar in her cabinet. Her cake recipe calls for 2/10 of a pound of sugar. How many cakes can she make?
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Find the integer a such that
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The integer a such that a ≡ 43 (mod 23) and −22 ≤ a ≤ 0 is -3. A zero, a positive natural number, or a negative integer with a minus sign is an integer.
What do we mean when we say that integers are congruent to modulo?When two positive integers a and b are divided by a positive integer n, they are said to be congruent modulo n (or an is congruent to b modulo n), or if a b is divisible by n. It can be expressed as a b mod n, where n is the modulus.If n is a positive integer, then the integers a and b are said to be congruent modulo n, as denoted by the expression a b (modn).Division algorithm Allow dd and aa to be both positive integers. Following that, there are two distinct integers, qq and rr, where rd0 and rd are equal, resulting in a = dq + ra = dq + rTherefore,
-3 is in between -22 and 0 so a =-3
a ≡ 43 (mod 23) and −22 ≤ a ≤ 0.
a ≡ 43 (mod 23)
≡ 43-22 (mod 23)
Simplifying,
≡ 20 (mod 23)
≡ 20-23 (mod 23)
Then we get,
≡ -3 (mod 23)
-3 is in between -22 and 0 so a =-3
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[tex]\bf cos(2\theta )=1-2sin^2(\theta )\implies 2sin^2(\theta )=1-cos(2\theta )[/tex]
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Therefore, the identity for 2sin²θ is 1 - cos(2θ).
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can someone please help me
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For the coffee to be equally sweet, if he had a 32 cup,
just multiply both numbers by 2.
If he put 4 packets in 16 ounces,
you'd put 8 packets in 32 ounces.
By doubling the packets and the coffee, the coffee is equally sweet.
There is just more of it.
Sam puts 8 packets in only 31 ounces of coffee.
Since Sam puts as much sugar in less coffee, Sam's coffee is sweeter.
A population consists of all the weights of all defensive tackles on a university's football team. they are johnson, 204 pounds; patrick, 215 pounds; junior, 207 pounds; kendron, 212 pounds; nicko, 214 pounds; and cochran, 208 pounds. what is the population standard deviation (in pounds)?
Answers
The population standard deviation of the weights of the defensive tackles is approximately 3.96 pounds.
Here, we have to calculate the population standard deviation,
Calculate the mean:
Mean = (204 + 215 + 207 + 212 + 214 + 208) / 6
Mean = 1260 / 6
Mean = 210 pounds
Calculate the squared differences between each weight and the mean:
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Mean of squared differences = (36 + 25 + 9 + 4 + 16 + 4) / 6
Mean of squared differences = 94 / 6
Mean of squared differences = 15.67
Take the square root of the mean of squared differences:
Population standard deviation = √(15.67)
Population standard deviation ≈ 3.96 pounds
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Answers
Car a 30(t+1)
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30t+30 =40t
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T = 30/10 = 3hours
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A)- -17
B)- -8
C)- -2
D)- 2
E)- 5
F)- 8
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SELECT ALL THAT APPLY
Answers
D -2
G 15
That can represent an function that sentences
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solve the following system of equations 3x+4y=17 -4x-3y=-18
Answers
-4x - 3y = -18 ...multiply by 3
------------------
12x + 16y = 68 (result of multiplying by 4)
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------------------add
7y = 14
y = 14/7
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3x + 4(2) = 17
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ur solution is (3,2)
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Answers
C = 2πr
For r = 4.6
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Best of luck with your studies!
Find the point of intersection of the tangent lines to the curve r(t) = 5 sin(πt), 6 sin(πt), 3 cos(πt) at the points where t = 0 and t = 0.5.
Answers
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88%, 73%, 97%, 76%, 90%, 80%
Answers
To find the median: You put the numbers in order (From least to greatest), and then find the number exactly in the middle. Here it is an even amount of numbers. No problem, just add the two numbers in the middle and then divide by 2. The answer here is: 84%
Answer: The Mean
The mean is when you add up all of those grades and divide by the amount of exams.
Line IJ has an equation of a line y = −3x − 8. Which of the following could be an equation for a line that is parallel to line IJ?
A) y=3x+7
B) y=1/3x+7
C) y= -3x+7
D) y= -1/3x+7
Answers
C) y = -3x +7
Step-by-step explanation:It's all about recognizing patterns.
The form of the equation is ...
... y = mx + b
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... C) y = -3x +7
Answer:
y = -3x +7 which is option C
got it right on my test.
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34 Quarters : $10
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Answers
18^3 = 5832 (volume of crate)
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= volume of the crate / volume of one plastic cube.
= 18^3 / 3^3 = 5832 / 27 = 216 Answer
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division
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Answers
Hope this helps!
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how many fossil kits with 10 samples each have the same number of fossils as 30 fossil kits with 8 samples each?
Answers
Answer:
24 fossil kits.
Step-by-step explanation:
Given,
The number of fossil kits = 30,
the number of samples each has = 8,
So, the total samples = number of fossil kits × the number of samples contained by each kit
= 30 × 8
= 240,
Let x be the number fossil kits with 10 samples each,
Total samples = 10x
According to the question,
10x = 240
[tex]\implies x =\frac{240}{10}=24[/tex]
Hence, there would be 24 fossil kits with 10 samples each.