Answer: The expected number of spades that you will draw is 0.751 spades
Step-by-step explanation:
The expected value can be calculated as:
∑xₙ*pₙ
Where xₙ is the n-th event, and pₙ is the probability of that event.
First, let's count the possible events and calculate the probability for each one.
x₀ = drawing 0 spades.
Out of 52 cards, we have only 13 spades, then 52 - 13 = 39 are not spades.
Then the probability of not drawing a spade in the first draw is:
p1 = 39/52
In the second draw we will have a card less than before in the deck (so we have 38 cards that are not spades, and 51 cards in total), then the probability of not drawing a spade is:
p2 = 38/51
And with the same reasoning, in the third draw the probability is:
p3 = 37/50
The joint probability for this event will be:
p₀ = p1*p2*p3 = (39/52)*(38/51)*(37/50) = 0.413
Second event:
x₁ = drawing one spade.
Let's suppose that in the first draw we get the spade, the probability will be:
p1 = 13/52
In the second draw, we get no spade, then the probability is:
p2 = 39/51
in the third draw we also get no spade, the probability is:
p3 = 38/50
And we also have the case where the spade is drawn in the second draw, and in the third draw, then we have 3 permutations, this means that the probability of drawing only one spade is:
p₁ = 3*p1*p2*p3 = 3*(13/52)(39/51)*(38/50) = 0.436
third event:
x₂ = drawing two spades:
Let's assume that in the first draw we do not get a spade, then the probabilities are:
p1 = 39/52
p2 = 13/51
p3 = 12/50
And same as before, we will have 3 permutations, because we could not draw a spade in the second draw, or in the third, then the probability for this case is:
p₂ = 3*p1*p2*p3 = 3*( 39/52)*(13/51)*(12/50) = 0.138
And the last event:
x₃ = drawing 3 spades.
The probabilities will be:
p1 = 13/52
p2 = 12/51
p3 = 11/50
And there are no permutations here, so the joint probability is:
p₃ = p1*p2*p3 = (13/52)*(12/51)*(11/50) = 0.013
Now we can calculate the expected value:
EV = 0*0.413 + 1*0.436 + 2*0.138 + 3*0.013 = 0.751
The expected number of spades that you will draw is 0.751 spades
What power of 10 makes number 3 equal 3,000
Answer:
3 power of 10 makes number 3 equal 3000
Step-by-step explanation:
10*10*10=1000
3*1000=3000
Answer:
3 x 10^3
Step-by-step explanation:
3 x 10^3
3 x 1000
3000
hope this helps, pls mark brainliest :D
PLEASE ANSWR I WILL GIVE 50 POINTS!!!!!
Which expression is equivalent to (1/ sqrt of y) ^-1/5 ?
Step-by-step explanation:
sqrty = y^(0.5)
1 / sqrty = y^(-0.5).
-1/5 = -0.2.
Therefore we have (1 / sqrty)^(-1/5)
= [y^(-0.5)]^(-0.2)
= y^[(-0.5)(-0.2)] (Law of indices)
= y^0.1
= 10th square root of y. (2nd option)
Answer:
1/sqrt 10th y
Step-by-step explanation:
1/(sqrt9)
19/76sprt
I need help you'll get fourteen points plz fast
ASAP
Answer:
I think the right answer is c I'm sorry if you get it wrong
Answer:
pretty sure it's B
Step-by-step explanation:
sorry if wrong it was hard to read the picture it was very blurry
Triangles 1 and 2 have the angle measures as shown.
Which statement is correct about triangle 1 and triangle 2?
PLEASE HELP
Answer:
The second one or the last one, but those two are the ones i came up with
Step-by-step explanation:
how much is 48 oz in lobby?
Answer:
bill nyedddddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-s dtep explanation:
dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
A baseball player batted 544 times in a season, with a batting average of 0.294. Using the formula below, find the number of hits he made.
The batting average formula is a=h/n where a is the batting average, h is the number of hits, and n is the number of times at bat.
Answer:
Calculate Batting Average
Calculating a baseball player's batting average is not a difficult task at all. A batting average represents the percentage of at bats that result in hits for a particular baseball player. The formula is:
Hits / At Bats = Batting Avg.
That's all there is to it. For example, if Justin Upton gets 155 hits in a season and has 554 at bats, his batting average would be 155/554, or .280. The batting average is usually represented not as a percentage (i.e. 28.0%), but instead as a decimal number with three places after the decimal. A batting average of 1.000 means that the player gets a hit every time he comes to bat, and an average of .000 means the player has no hits.
It should also be noted that not every time a batter comes to the plate counts as an at bat. Plate appearances that do not count as at bats include walks, hit-by-pitches, sacrifices, etc.
Here's one last example: Albert Pujols gets 35 hits in 113 at bats in May, so his batting average would be calculated as 35 divided by 113, which is .310 for the month of May.
Step-by-step explanation:
Answer:
160
Step-by-step explanation:
The previous answer response to this question was too long and complicated. Just follow the things you know from the question and use the formula.
a=h/n, a is the batting average, h is the number of hits, and n is the number of times at bat. Use substitution to make your formula now look like this:
0.294 = h/544.
Now you have to get h by itself. To do that, you do the opposite of division: multiply. What you do to one side, you do to the other.
544(0.294 = h/544)544 ⇒ h = 544 x 0.294.
Your result should be 159.936; round to the nearest whole number ⇒ 160.
Which line has a constant of proportionality between y and x of 5/4
Answer:
B
Step-by-step explanation:
Because under the six there's a line so the line is there then you look at the four and equal it to it and that's how you know it's B
You're welcome
Find sin θ Right Triangle Trigonometry
Answer:
15/17
Step-by-step explanation:
15^2+8^2=c^2
c=hypotenuse. Sin is opposite side/hypotenuse
Answer:
B
Step-by-step explanation:
Use SOHCAHTOA
We are given the opposite side and the agacent side
Therefore we use TOA
tan(x)= 15/8
tan^-1(15/8)= 61.93
sin(61.93)= 15/17
Hope this Helped :)
there are 7209 students at a amusement park. to the nearest thousands, how many students are in the park
Step-by-step explanation:
In ordee to round the number 7209 to the nearest thousands, we take a look at the digit in the hundreds place (which is 2).
Since 2 < 5, we round the number itself down to the nearest thousands:
7209 => 7000.
Hence our rounded number is 7000.
Answer:
7000
Step-by-step explanation:
The thousandths place in 7209 is less than 5, the number will change to 7000.
6(x−2)=−18
x=?
Anybody know what X is equal to?
If you know a little bit about this question, thank you for your help.
(If the answer is right, this person will be the smartest.)
A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length. What is the width of the picture
frame?
3
18 cm
32 cm
0 48 cm
0 50 cm
Answer:
The correct answer is option 2: 32 cm
Step-by-step explanation:
Let l be the length of the picture frame and w be the width
Then according to given statements, the system of equations will be
[tex]2l+2w = 100\ \ \ Eqn\ 1\\w = 2l-4\ \ \ Eqn\ 2[/tex]
Putting w = 2l-4 in equation 1
[tex]2l+2(2l-4) = 100\\2l+4l-8=100\\6l-8 = 100\\6l = 100+8\\6l=108\\\frac{6l}{6}=\frac{108}{6}\\l = 18[/tex]
Putting the value of l in equation 2
[tex]w = 2(18)-4\\w = 36-4\\w = 32[/tex]
The width is 32 cm
Hence,
The correct answer is option 2: 32 cm
Lily runs 200 meters in 34 seconds.
Answer:
Good for Lily.
Step-by-step explanation:
a(x) = 5x – 2
a(m – 3) = ?
Answer:
a(m - 3)=5m - 17
Step-by-step explanation:
Hope this helps
what is 110 is 350 what is the percent
Answer:
31.43
Step-by-step explanation:
Answer:
31.43%
Step-by-step explanation:
what does 1/2 plus 3/4
Answer:
1/2 plus 3/4 = 1 1/4 or 1.25 same thing
Step-by-step explanation:
1/2 = 2/4
2/4 +3/4 = 5/4 or 1.25
What is the length of AC on a right triangle 84 156-x 7
Answer:
144
Step-by-step explanation:
i just took the test
What is log4 (5x+2) = 5x in exponential form?
Answer:
4^(5x) = 5x + 2
Step-by-step explanation:
Applying the definition of logarithm we can say that if logb(x) = y, then b^y = x;
Accordingly your equation log4 (5x+2) = 5x in exponential form should be 4^(5x) = 5x + 2
Please help fast, thanks.
Answer:
b > 100
Step-by-step explanation:
Please help me out !!!
Answer:
If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!
Step-by-step explanation:
4x+5 = 2x+19
2x=14
x=7
4(7)+5+2(7)+19 = 42+24 = 66
Henry says that his set of numbers includes all integers. Iliana argues that he is wrong. Left-brace negative 15, negative 5, negative one-half, 0, 2, 16 Right-brace Which is the best way to explain why Iliana is correct? Iliana is correct because Henry included negative numbers. Negative numbers are not integers. Iliana is correct because Henry included a fraction. Fractions are not integers. Iliana is correct because Henry included zero. Zero is not an integer. Iliana is correct because Henry included a positive number. Positive numbers are not integers.
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
B is correct because Fractions are not integers. Henry set his Integer list with negative numbers, positive numbers, and fractions which is incorrect and B is the only one telling us fractions arent integers so your correct answer would be B.
Hope this helps and sorry for being late !
:))))
helpppppp plssssssssssssss
Answer:
A. Cellular respiration
Step-by-step explanation:
Answer:
A is the answer :)
the reason for this is.... I'm not really sure xd
Can someone help me with this question
−4(m+3)=24
m=?
If you know the answer, please let me know. I really need help. Thank you.
(If the answer is right, this person will be the smartest)
Answer:
Your answer is going to be m=-9
Step-by-step explanation:
(-4(m+3))/-4=(24)/-4
m+3=-6
-3 -3
m=-9
PLSSSSSS I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Simplify Expressions:
[tex]\sqrt{(3-\sqrt{19} )^{2} }[/tex]
Answer:
1.358899 or 3-\sqrt{19}
Step-by-step explanation:
either or
Answer this question correctly and I will give you brainlyist, 5.0 rating, and thanks. The question that you need to answer is in the screenshots below.
Answer:
so it should be D because after you check them all D is the only one that the watch would actually cost $50- sorry for the confusing ecplanation but im like 99.99999% sure its right
Step-by-step explanation:
What is the common difference for this arithmetic sequence?
45, 39, 33, 27, 21, .
O A. 45
OB. 6
OC. 39
OD. -6
Answer:
Concept: Series
Start by taking the first and second An and finding the difference You can then prove your result by taking any ordinary An and subtracting it by An-1Hence 45-39= 6 To prove our result of 6; 39-33= 6 Hence the common difference is Rate brainlistHELP ME PLEASE I GIVE BRAINLY
Shern goes to the BX with $21. She buys a gift for her mom that costs $9.25. She also needs to make sure that she has $3.50 left when she leaves the BX to buy lunch the next day. She sees that bags of Skittles are on sale for $0.40 each. How many bags can she buy to have as many bags as possible. Write and solve an inequality to represent the situation. Show your work.
Answer:
20 bags
Step-by-step explanation:
gift + lunch + (skittles * count) ≤ $21
9.25 + 3.50 + 0.40x ≤ 21
12.75 + 0.40x ≤ 21
0.40x ≤ 8.25
x ≤ 20.625
Answer:
20 bags of skittles
Step-by-step explanation:
I took the test
how does the converse of the Pythagoren Therom look
Answer:
The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. That is, in ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR being the right angle.
The sales tax for a certain state is 7%. Which of the following situations apply the correct amount of sales tax for the given amount?
a
A $50.00 purchase totals $53.50 with tax.
b
A $700.00 purchase totals $800.00 with tax
c
A $28.00 purchase totals $32.00 with tax.
An $84.00 purchase totals $89.88 with tax.
A $220.00 purchase totals $214.00 with tax.
Answer:
I think its c but I'm not sure. You need to ask a professional.
Step-by-step explanation:
Which equation represents the line that is parallel to y=3 and passes through (-2,-8)?
А.x=-2
B. x=3
C. y=-8
D. y= 3x - 2
Step-by-step explanation:
y = 3 is a horizontal line. A line that is parallel would also have the general equation y = c.
Since it passes through (-2, -8) with y-coordinate -8, the line equation is y = -8. (C)