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3 years ago

PLZ help me super really really fast

Mathematics

1 answer:

maria [59]3 years ago

4 0

Answer:

A. 3 cm

Step-by-step explanation:

The smallest face has the sides 4 cm and 8 cm. If the water is 4 cm from its top, then the height of the water is $16-4=12$ cm and the volume of the water is

$V_{water}=4\cdot 8\cdot 12=384\ cm^3$

The largest face has the sides 8 cm and 16 cm. If the container is placed on its largest face, then the volume of the water is

$V_{water}=8\cdot 16\cdot h \ cm^3,$

where h is the height of the water.

Equate volumes of the water:

$8\cdot 16\cdot h=384\\ \\h=\dfrac{384}{8\cdot 16}=3\ cm$

Therefore, the water is 3 cm from the bottom.

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<h3>Answer: Choice D</h3>

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Explanation:

The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.

The shortest way is to simply count how many negative signs each expression has.

The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.

For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.

Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.

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3 years ago

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Step-by-step explanation:

A. Determination of the modal class interval.

Mode is the class with the highest frequency.

From the table given above, the highest frequency is 8, therefore the class will the highest frequency is:

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Class >>>>> class mark >>> frequency

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20 – 21 >>> 20.5 >>>>>>>> 2

22 – 23 >>> 22.5 >>>>>>>> 7

24 – 25 >>> 24.5 >>>>>>>> 8

26 >>>>>>>> 26 >>>>>>>>> 0

The mean is given by the summation of the product of the class mark and frequency divided by the total frequency. This is illustrated below:

Mean = [(18.5x3) + (20.5x2) + (22.5x7) + (24.5x8) + (26x0)] / (3+2+7+8+0)

Mean = (55.5 + 41 + 157.5 + 196 + 0)/20

Mean = 450/20

Mean = 22.5

Therefore, the mean age is 22.5

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