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1 year ago

The volume of a cylinder that is 6 meters in diameter and 60 centimeters high is

Mathematics

1 answer:

jeka941 year ago

3 0

The formula of a volume of a cylinder:

$V=\pi r^2h$

We have

$2r=6m\to r=3m\\h=60\ cm=\dfrac{60}{100}\ m=0.6\ m$ $\left(1m=100cm\to1cm=\dfrac{1}{100}m\right)$

substitute

$V=\pi\cdot3^2\cdot0.6=5.4\pi\ m^3$

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Hoochie [10]

Answer: A. 48N

Step-by-step explanation: from Newton's third law of motion which states that action and reaction are equal and opposite. So this means that a person will get back same magnitude of force which he or she has exerted

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1 year ago

Light bulbs cost £2.30 each. Yasmin buys as many as she can with £20. How much change should she get? Give your answer in pounds

djyliett [7]

Answer:

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1 year ago

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Marcus pours 12 ounces of cranberry juice into a punch bowl. He uses a container to add sprakling water to the bowl one ounce at

melomori [17]

Answer: There is 20 ounces of liquid in the bowl after adding 8 containers of sparkling water.

Step-by-step explanation:

Since we have given that

Number of ounces of cranberry juice into a punch bowl = 12 ounces

According to question, he uses a container to add sparkling water to the bowl one ounce at a time.

Let the amount of sparkling water added to the bowl be 'x'

Let the total number of ounces of liquid Marcus will have be 'y'.

So, our equation becomes,

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Here, we have asked after adding 8 containers of sparkling water .

So, now, our equation becomes,

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1 year ago

A nutritionist attempts to determine an association between where food is prepared and the number of calories the food contains.

Oksi-84 [34.3K]

Given the conditional relative frequency table below which was generated by column using frequency table data comparing the number of calories in a meal to whether the meal was prepared at home or at a restaurant.

Number of Calories and Location of Meal Preparation.
Home Restaurant Total
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< 500 calories 0.85 0.45 0.72

Total 1.0 1.0 1.0

To determine whether there is an association between where food is prepared and the number of carories the food contain, we recall that an "association" exists between two categorical variables if the column conditional relative frequencies are different for the columns of the table. The bigger the differences in the conditional relative frequencies, the stronger the association between the variables. If the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables. Such variables are said to be <span>independent.

For the given conditional relative freduency, we can see that there is a significant difference between the columns of the table.
i.e. 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45

Therefore, we can conclude from the given answer options that t</span><span>here is an association because the value 0.15 is not similar to the value 0.55</span>

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2 years ago

Suppose that a system of linear equations has 3×5 augmented matrix whose 5th column is a pivot column. Is the system consistent?

Anon25 [30]

No, the system is inconsistent.

Step-by-step explanation:

If the last column is a pivot column, then that row gives an equation that looks something like 0x+0y+0z=1 , meaning , 0=1. Clearly, this is false.

So, the system of linear equations is inconsistent.

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2 years ago