Is a-6 a factor of the question below?(please help its by using synthetic division)

Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relatio

maria [59]

Answer:

y = 2/3x

Step-by-step explanation:

Reading rate is y pages per x minutes and proportional relationship formula is:

y = kx

The coefficient is:

k = y/x

Let's verify if the given numbers fit into the same relationship:

12/18 = 2/3
8/12 = 2/3
20/30 = 2/3

We confirm all same and it means k = 2/3

Required equation is:

y = 2/3x

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages

7 0

2 years ago

There are 5 pens in a container on your desk. Among them, 3 will write well but 2 have defective ink cartridges. You will select

Norma-Jean [14]

Answer:

Kindly check explanation

Step-by-step explanation:

Total Number of pens = 5

Number of defective pens = 2

Number of non-defective pens = 3

A.) number of defective pens selected :

X : {0, 1, 2}

It is possible that no defective pen will be selected ; 1 defective will be chosen or both pens are defective.

2.)

Defective as Success (since selecting a defective pen is the point of interest.

3.)

Since selection is done without replacement

Probability of success per selection is different for each selection ;

Number of defective = 2

Number of observations = 5

P(success on first selection) = 2/5

P(success on second selection) = 1/4

Hence, X is not well approximated by a binomial random variable.

4.) if selection is done with replacement ; then then the probability of success per selection will be the Same for each selection made. Hence, X will be well approximated by a binomial Random variable.

5.) If sampling is done without replacement, then the the hypergeometric function will be a more effective approximation.

7 0

3 years ago

What is 834% expressed as a fraction?

svetoff [14.1K]

Answer:

8.34/1

Step-by-step explanation:

5 0

3 years ago

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If you drove 60 miles in two hours, how many miles per hour did you drive? 30 miles per hour

soldi70 [24.7K]

Answer:

30 mph

Step-by-step explanation:

6 0

3 years ago

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4. Earth is in thermal equilibrium. This means that our planet is radiating away exactly as much energy as it is receiving from

lana [24]

Answer:

5.099*10^14 m^2

Step-by-step explanation:

Earth is in thermal equilibrium. This means that our planet is radiating away exactly as much energy as it is receiving from the Sun. This "re-radiation" from the Earth is not visible because it its peak wavelength is in the infrared part of the spectrum. Even the coldest parts of the Earth are way above absolute zero, so every square meter of Earth’s surface is radiating this energy out to space. Using the same radius given in step 2 above, and the formula for the area of a sphere, calculate the surface area of the Earth.

(The radius of the Earth is 6,370,000 meters.)

The earth is spherical in shape , so we use the formula for finding the surface area of a sphere

Surface Area= $4\pi r^{2}$

S.A=4*3.14*6,370,000^2

S.A=4*pi*40576900000000

S.A=5.099*10^14m^2

Man occupies about one-eighth of the earth.

7 0

3 years ago

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