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svet-max [94.6K]
3 years ago
11

You flip a fair coin 7 times. What is the probability that the coin lands with the heads side up exactly 3 out of the 7 times?

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Answer:

  35/128 ≈ 0.2374

Step-by-step explanation:

The number of combinations of 7 things taken 3 at a time is ...

  7·6·5/(3·2·1) = 7·5 = 35

The number of sequences in which the coins can land is 2^7 = 128.

Of those 128 sequences, 35 will have exactly 3 heads.

The probability is 35/128.

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3x=105???<br> helppp please
natali 33 [55]

Answer:

35 is the answer

7 0
3 years ago
Write the equation of a line in slope-intercept form that goes through the points (-4, 3) and (-5, 1). Show your work.
Neporo4naja [7]
M=1-3/-5-4
M=-2/-9
M=2/9

y=2/9x+c
let y=3 and x=-4
3=2/9<span>(-4)+c
3=-8/9+c
3+8/9=c
C=35/9

y=2/9x+35/9
</span>
7 0
3 years ago
A pizza chain wants to send codes for $2 off a large pizza to the subscribers of its e-mail list. Each coupon code will have thr
kati45 [8]

Answer:

438,012 ways.

Step-by-step explanation:

We have been given that each coupon code will have three letters followed by two digits. The letters M, N, and O and the digits 1, 3, 5, and 7 will not be used. So, there are 23 letters and 6 digits that will be used.

Since the letters and digits can be repeated, so we will use fundamental principal of counting.

For first place, we can use 23 letters, for 2nd and 3rd place we can use 23 letters.

We can use 6 digits for 1st digit place and 6 digit for 2nd digit place as repetition is allowed.

So we can choose coupon code is following ways:

23\cdot 23\cdot 23\cdot 6\cdot 6=438012

Therefore, we can choose coupon codes in 438,012 ways.

3 0
3 years ago
2 factors that add to 6 but multiply to 60
hodyreva [135]

Answer:

The short answer is there isn’t.

Start by writing each of these as an expression:

x * y = 60

x + y = 7

Next, solve each for the same variable; in this case, y:

(x * y) / x = 60 / x

.: y = 60 / x

(x + y) - x = 7 - x

.: y = 7 - x

Next, replace y of the second expression to the first

y = 60 / x & y = 7 - x

.: 7 - x = 60 / x

Now, solve for x:

(7 - x) * x = (60 / x) * x

.: x * 7 - x^2 = 60

This is quadratic, so write it in the form of ax2 + bx + x = 0

(-1)x^2 + (7)x + (-60) = 0

.: a = -1, b = 7, c = -60

Finally solve for b:

x = (-b +- sqrt(b^2 - 4*a*c)) / 2a

.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)

.: x = (-7 +- sqrt(49 - 240)) / -2

.: x = (-7 +- sqrt(-191)) / -2

The square root of a negative value is imaginary and thus there’s no real answer to this problem.

8 0
2 years ago
A violin was on sale of 50%
irinina [24]
If it is 50% then it should be half of the original price.

For Example: $30.00 - 50%... the answer would be $15.00 since its the half of the $30.00
6 0
3 years ago
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