Olive oil is a cooking Ingredient. The density of olive oil is 0.92 grams per cubic centimeter. An olive farmer wants to sell bo
1 answer:
Answer: The volume of container that holds 460 grams of oil is 500 cm³.
Step-by-step explanation:
Density of olive oil is
An olive farmer wants to sell bottles that contain 460 grams of oil.
Therefore
Mass of oil = 460 grams
As we know
Hence, the volume of container that holds 460 grams of oil is 500 cm³.
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Answer:
a) The porbability that both cards dealt are 10-point cards or aces is 0.1433
b) The probability that 2 aces are dealt is 0.0045
c) The probability that the two cards dealt are 10-point cards is 0.0905
d) The probability that a player is dealt a blackjack is 0.0483
Step-by-step explanation:
a) Since there are 52 cards, there are ways to deal them; also, there are 16+4 = 20 cards that are aces or 10-point cards, thus, there are
ways of dealing 2 cards that are 10-point cards or Aces. Since the probability for each individual hand is the same, then, the porbability that both cards dealt are 10-point cards or aces is 190/1326 = 0.1433.
b) There are ways to deal 2 aces. As a result, the probability that 2 aces are dealt is 6/1326 = 0.0045.
c) There are ways to deal two 10-point cards. Therefore, the probability that the two cards dealt are 10-point cards is 120/1326 = 0.0905.
d) There are 3 distinct ways of obtaining a pair of 10-point cards/Aces. Either you obtain two Aces, or you obtain two 10-point cards or you obtain 1 from each (which results in a balck jack). Since each possibility is mutually exclusive from the others, then
P(obtain 2 cards that are Aces or 10-point cards) = P( two 10-point cards) + P(two Aces) + P(Blackjack)
The probability to obtain 2 cards that are Aces or 10-point cards were computed in item (a) and it was 0.1433, and the other 2 probabilities besides blackjack were oobtained earlier in items (b) and (c). As a consequence
0.1433 = 0.0905 + 0.0045 + P(Blackjack)
So we conclude that
P(Blackjack) = 0.1433-0.0905-0.0045 = 0.0483
Answer:
a
f'(t) is negative
b
The unit is degC/min
c
At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.
Step-by-step explanation:
From the question we are told we are told that
The equation for the temperature of a cup of coffee place on a counter is
Here t is the time in minutes the coffee was put on the counter
Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time
Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative
Generally the unit of the temperature is in degrees Celsius while that of time is in minutes
So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)
From the question we are told that
i.e the rate of change of temperature after 35 minutes is 1.5
and
i.e the temperature of the cup of coffee after 35 minutes is 67 degC
Now after another t= 30 seconds = the rate of change of the temperature of the cup of coffee is
=>
=>
So
At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.