A textbook store sold a combined total of 294 history and sociology textbooks in a week. The number of history textbooks sold wa
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<span>The <u>correct answer</u> is:
350 ml.
Explanation<span>:
Let x be the amount in the fifth container.
The mean is found by adding all of the amounts together and dividing by the number of containers (in this problem, 5). We know that the total from the other 4 containers is 2750; add this to x, our unknown number. Then we divide by 5 to arrive at our answer of 620.
Algebraically,
</span></span>
<span><span>
To solve, multiply both sides by 5:
</span></span>
<span><span>
Subtract 2750 from both sides:
2750+x-2750=3100-2750
x=350.
There are 350 ml in the fifth container.</span></span>
350 ml.
Explanation<span>:
Let x be the amount in the fifth container.
The mean is found by adding all of the amounts together and dividing by the number of containers (in this problem, 5). We know that the total from the other 4 containers is 2750; add this to x, our unknown number. Then we divide by 5 to arrive at our answer of 620.
Algebraically,
</span></span>
To solve, multiply both sides by 5:
</span></span>
Subtract 2750 from both sides:
2750+x-2750=3100-2750
x=350.
There are 350 ml in the fifth container.</span></span>
Answer:
<em>statements 3 and 4 are correct.</em>
Step-by-step explanation:
(1)
The probability of choosing cured pasta and bear= probability that the card is king.
Hence, The probability of choosing cured pasta and bear=
Probability of choosing baked cucumber and lime mutton=probability that the card is 3.
as there are 4 cards that are '3'.
Hence Probability of choosing baked cucumber and lime mutton=
as both the probabilities are equal.
Hence statement 1 is incorrect.
(2)
The probability of choosing gooseberry & passion fruit cheesecake= Probability taht the card is ace.
as there are 4 cards which are ace out of 52 cards.
Hence, The probability of choosing gooseberry & passion fruit cheesecake=
probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.
As there are 12 face cards out of 52 cards.
Hence, probability of choosing poached fennel & lemon alligator=
Hence, the probability of choosing gooseberry and passion fruit cheesecake is smaller than the probability of choosing poached fennel & lemon alligator.
Hence statement 2 is false.
(3)
The probability of choosing a praline wafer=probability that the card is a diamond.
as there are 13 diamond cards out of 52 cards.
The probability of choosing a praline wafer=
the probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.
As there are 12 face cards out of 52 cards.
Hence, probability of choosing poached fennel & lemon alligator=
Hence, The probability of choosing a praline wafer is greater than the probability of choosing poached fennel & lemon alligator.
Hence statement 3 is correct.
(4)
The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.
As there are 26 red cards out of 52 cards.
Hence,
The probability of choosing pressure-cooked mushroom & garlic chicken =
probability of choosing an oven-baked apple & lavender calzone =probability that the card is black.
As there are 26 red cards out of 52 cards.
Hence, probability of choosing an oven-baked apple & lavender calzone=
Hence, The probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing an oven-baked apple & lavender calzone are the same.
Hence statement 4 is true.
(5)
The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.
As there are 26 red cards out of 52 cards.
Hence,
The probability of choosing pressure-cooked mushroom & garlic chicken =
the probability of choosing a praline wafer=probability that the card is a diamond.
as there are 13 diamond cards out of 52 cards.
The probability of choosing a praline wafer=
Hence, the probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing a praline wafer are not same.
Hence, statement 5 is not correct.