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madam [21]
2 years ago
7

When a fair coin is flipped, what is the chance of getting about 50% heads- specifically between 40% and 60% heads for n=10 flip

s?
Mathematics
1 answer:
aleksklad [387]2 years ago
3 0
At at least one die come up a 3?We can do this two ways:) The straightforward way is as follows. To get at least one 3, would be consistent with the following three mutually exclusive outcomes:the 1st die is a 3 and the 2nd is not: prob = (1/6)x(5/6)=5/36the 1st die is not a 3 and the 2nd is: prob = (5/6)x((1/6)=5/36both the 1st and 2nd come up 3: prob = (1/6)x(1/6)=1/36sum of the above three cases is prob for at least one 3, p = 11/36ii) A faster way is as follows: prob at least one 3 = 1 - (prob no 3's)The probability to get no 3's is (5/6)x(5/6) = 25/36.So the probability to get at least one 3 is, p = 1 - (25/36) = 11/362) What is the probability that a card drawn at random from an ordinary 52 deck of playing cards is a queen or a heart?There are 4 queens and 13 hearts, so the probability to draw a queen is4/52 and the probability to draw a heart is 13/52. But the probability to draw a queen or a heart is NOT the sum 4/52 + 13/52. This is because drawing a queen and drawing a heart are not mutually exclusive outcomes - the queen of hearts can meet both criteria! The number of cards which meet the criteria of being either a queen or a heart is only 16 - the 4 queens and the 12 remaining hearts which are not a queen. So the probability to draw a queen or a heart is 16/52 = 4/13.3) Five coins are tossed. What is the probability that the number of heads exceeds the number of tails?We can divide
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Sharon is twice as old as Brian, and in 5 years the sum of their ages will be 25 years. Find their present ages.
Vinil7 [7]
Sharon's age= 2x
Brian's age= x

(2x-5)+(x-5)= 25
3x-10=25
3x=15
x=5
Brian is 5 years old and Sharon is 10

3 0
3 years ago
Use the distributive property to simplify this expression: negative 2 (3 x + x minus 5). 1. Using order of operations, combine l
sashaice [31]

Answer:

8x-10

Step-by-step explanation:

2x3x=6x, 2 x x=2x, 2x-5=-10 so 6x+2x-10= 8x-10

5 0
2 years ago
Read 2 more answers
It costs 42 dollars for 12 cookies how much is 1 cookie
ArbitrLikvidat [17]

Answer:

$3.50

Step-by-step explanation:

if you divide 42 by 12 you get 3.5

3 0
2 years ago
GEOMETRY!!!! K' (6,5) is the image of K after a reflection in the line y=2. what are the coordinates of K
frutty [35]

Given:

The coordinates of point K' are (6,5).

K' is the image of K after a reflection in the line y=2.

To find:

The coordinates of point K.

Solution:

Let the coordinates of point K are (a,b).

If a figure is reflected over the line y=2, then

(x,y)\to (x,2(2)-y)

(x,y)\to (x,4-y)

Using this formula, the coordinates of image of K are

K(a,b)\to K'(a,4-b)

The coordinates of point K' are (6,5).

K'(a,4-b)=K'(6,5)

On comparing both sides, we get

a=6\text{ and }4-b=5

a=6\text{ and }-b=5-4

a=6\text{ and }-b=1

a=6\text{ and }b=-1

Therefore, the coordinates of point K are (6,-1).

3 0
2 years ago
What is 3x^4 + 5x^3 + x^2 - 5 divided by x + 2
Brilliant_brown [7]
Remember, there is a missing term which is crucial to solving this, and that is 0x.

Ima use synthetic division, because that's the quicker option here:

The zero of x+2 is -2...

-2 | 3 5 1 0 -5
-6 2 -6 12
_____________
3 -1 3 -6 7

(Sorry, I'm unsure how to fix the formatting, plus I'm new to this. The -6 and such on the second line should be below the 5 and following of the first line, and the 3 and such on the last line should be below the 3 and following on the first line, leaving a space between the 3 on the first and third line.)

So the answer is: A. 3x^3 - x^2 + 3x - 6 + 7/(x+2)
8 0
3 years ago
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