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Triss [41]
3 years ago
15

PLEASE HELP

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer:

D. 16 °F

Step-by-step explanation:

Given:

The initial temperature of the outside is 0 °F.

Decrease in the temperature in the first hour = 12 °F

Therefore, temperature after 1 hour = 0 - 12 = -12 °F

Now, decrease in the temperature in the second hour = 4 °F

Therefore, temperature after 2 hours = -12 - 4 = -16 °F

Let 'x' °F be added to the final temperature in order to bring it to 0 °F.

Therefore,

x+(-16)=0

Adding 16 on both sides, we get:

x-16+16=0+16\\x=16\ \°F

Hence, we need to increase the temperature by 16 °F to attain the same initial temperature of 0 °F.

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It looks like we have

f(x)=\begin{cases}5-x&\text{for }x5\end{cases}

and we want to find \lim\limits_{x\to5}f(x).

Since x is approaching 5, we don't care about the value of f(x) when x=5.

We do care about how f(x) behaves to either side of x=5. If x\to5 from below, then f(x)=5-x, so that

\displaystyle\lim_{x\to5^-}f(x)=\lim_{x\to5}(5-x)=5-5=0

On the other hand, if x\to5 from above, then f(x)=x+3, so that

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Roma selects cards from a standard of 52 cards. Once a card is selected, it is not replaced. Find the probability of each outcom
meriva

Given:

A card is selected randomly from a standard deck of 52 cards.

To find:

The probability of each outcome.

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b. a queen of spades

c. an ace of flower

d. an ace of diamond​

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In a standard deck of 52 cards.

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13 cards of each suit (heart, diamond, club, spade).

13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

a. We need to find the probability of getting a king of heart.

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b. We need to find the probability of getting a queen of spades.

Number of queen of spades = 1

P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}

P(\text{a queen of spades})=\dfrac{1}{52}

c. We need to find the probability of getting an ace of flower (spades).

Number of ace of flower = 1

P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}

P(\text{an ace of flower})=\dfrac{1}{52}

d. We need to find the probability of getting an ace of diamond​.

Number of ace of diamond​ = 1

P(\text{an ace of diamond​})=\dfrac{\text{Number of ace of diamond​}}{\text{Total cards}}

P(\text{an ace of diamond​})=\dfrac{1}{52}

Therefore, the required probabilities for each parts are:

(a) \dfrac{1}{52}

(b) \dfrac{1}{52}

(c) \dfrac{1}{52}

(d) \dfrac{1}{52}

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