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PSYCHO15rus [73]
2 years ago
10

Suppose a subset of eight different days of the year is selected at random. What is the probability that each day is from a diff

erent month
Mathematics
1 answer:
goldfiish [28.3K]2 years ago
6 0

Answer:

P = 0.05

Step-by-step explanation:

12 months * 30 days each = 360 days

From 306 days, we have to select 8 days = 360C8 ways(Total ways)

We want each days from different month. First, we have to select 8 month from 12 month = 12C8 ways

---By selecting 8 month, we will select a days from each month. That can be done in = 30C1 * 30C1 * .................30C1 (8 ways) [From a month with 30 days, we can select a day in 30C1 ways = 30 ways]

Therefore P = Number of ways of selecting each days from different month / Total number of ways

P = 12C8 * 30^8 / 360C8

P = 495 * 656100000000 / 6469697679132645

P = 0.0501985588982791

P = 0.05

Hence the probability that each day is from a different month is 0.05

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Triangle PQR has the coordinates P(2,4), Q(-2,4), R(0,-5).
tensa zangetsu [6.8K]

Answer:

I hope I got this correct.

Step-by-step explanation:

Multiply the coordinates by 2.

P(4,8)

Q(-4,8)

R(0,-10)

For the future if you get stuck, multiply the coordinates by the dilation number.

4 0
2 years ago
MATH WHIZZES, GET OVER HERE PLEASE!! I ACTUALLY NEED HELP ON THIS QUESTION!!! IT IS NOT A JOKE!!!
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Answer:

1130040

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2 years ago
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Find the equation of the parabola that has zeros of x = –1 and x = 3 and a y-intercept of (0,–9). Question 1 options: A) y = 3x2
andrey2020 [161]

Answer:

A

Step-by-step explanation:

Given the zeros are x = - 1 and x = 3 then the factors are

(x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation

- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a, thus

y = 3(x + 1)(x - 3) ← expand the factors using FOIL

  = 3(x² - 2x - 3) ← distribute by 3

  = 3x² - 6x - 9 → A

7 0
3 years ago
Lamar works as a tutor for $7 an hour and as a waiter for $8 an hour . this month he worked a combined total of 92 hours at his
ira [324]

t is the number of hours Lamar worked as a tutor 
We know that he worked for 92 hours total, so he worked 92-t hours as a waiter.

So his earnings are: 7t + 8(92-t) = 736 -t dollars

This expression seems logical as if Lamar worked 0 hours as a tutor and 92 as a waiter his earnings would be 8*92 = 736
If he worked as a tutor for 92 hours it would be 7*92= 644 
736-92= 644 
So our expression seems to be working. 
5 0
3 years ago
Please help with this question!
Nostrana [21]

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a ) Two matrices cannot be multiplied.

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b )

The answer is | 20 - 4 - 12 |

| 8 2 19 - |

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7 0
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