HELP ME. It takes 12 hours to paint a 10-ft-by-18-ft mural. At this rate, how long will it take

Mathematics

1 answer:

tigry1 [53]2 years ago

7 0

18hrs because its a scale factor of 1.5

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g What is the probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from

Elena L [17]

Answer: 0.02257

Step-by-step explanation:

Given : Total cards in a deck = 52

Number of ways to select any 5 cards : $^{52}C_5$

Since , there are total 13 kinds of card (includes Numbers from 2 to 9 and Ace , king, queen and jack).

Of each kind , there are 4 cards.

Number of ways to select three cards in a five card hand of a single kind : $^{4}C_3\times^{48}C_2$

Number of ways to select three cards in a five card hand of a exactly three of a kind : $13\times^{4}C_3\times^{48}C_2$

Now , the required probability = $\dfrac{13\times^{4}C_3\times^{48}C_2}{^{52}C_5}$

$=\dfrac{13\times4\times\dfrac{48!}{2!46!}}{\dfrac{52!}{5!47!}}\\\\\\=\dfrac{58656}{2598960}$

$=0.022569027611\approx0.02257$

∴ The probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a deck of 52 cards= 0.02257

8 0

3 years ago

Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $60,750?

Anna11 [10]

$\frac{28}{36}$ rule says that 28 % of your total income should be spent on Housing finances and 36 % of your gross total income should be spend for Debts.