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3 years ago

How many times as large as 4^4 is 4^7

Mathematics

2 answers:

Maksim231197 [3]3 years ago

8 0

Answer:

Step-by-step explanation:

Note that 4^7 = 4^4*4^3.

Compare 4^4 and 4^4 * 4^3. The last factor is 64. So 4^7 is 64 times larger than 4^4.

Marina86 [1]3 years ago

3 0

Answer:

256

Step-by-step explanation:

So, there are a few different ways to solve this.

Firstly, you need to find the values of these numbers.

4^4 = 4x4x4x4 = 4x4 = 16x4 = 64 x 4 = 256.

4^7 = 4x4x4x4x4x4x4 = 4x4 = 16x4 = 64x4 = 256x4= 1,024x4=4,096x4 = 16,384.

Now, divide 16,384 by 256:

16,384/256

This is your answer.

Now, WHY do we have to use such a slow painful way of doing this? There MUST be a better way!

Well, there is.

Remember two things.

Dividing exponents is actually subtracting 1 exponent from the other.

Multiplying exponenets is actually adding 1 exponent to another.

Adding and subtracting is still adding and subtracting like normal.

This problem calls for division.

So, all we need to do is subtract 4^7 by 4^4:

4^7-4

4^3

What does 4^3 equal?

64!

This is far easier and quiocker, and won't burn a hole through your brain!

Hope this helps! :)

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At a company meeting, there were 45 people in attendance. 80% of them were managers. How many managers were in the meeting?

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Answer:

36 managers

Step-by-step explanation:

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3 years ago

A submarine is descending to examine the seafloor 2,100 feet below the surface. It took the submarine 8.75 hours to reach the se

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Answer:

240 feet per hour

Step-by-step explanation:

Given that:

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Distance of sea floor from the surface = 2100 feet

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The rate of descent in feet per hour = ?

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3 years ago

What degree of rotational symmetry does an equilateral triangle have? A)45° B)90° C)120°

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Answer:

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4 years ago

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4 years ago

Lesson 6.07

Oduvanchick [21]

Answer:

A) Interval estimate for those that want to get out earlier = (35%) ± (4%) = (31%, 39%)

Interval estimate for those that want to get out later = (39%) ± (4%) = (35%, 43%)

B) The group that wants to get out of school earlier can win after all the votes are counted if their true population proportion takes on a value that is higher than the closest true population proportion (for the group that wants to get out of school later)

That is, in the (31%, 39%) and (35%, 43%) obtained in (a), a range of (35.1%, 39%) and (35%, 38.9%) show how possible that the group that wants to get out of school earlier can win after all the votes are counted.

Step-by-step explanation:

The Interval estimate for the a proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Interval estimate = (Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the proportion.

a) Find the interval estimates

i) for those that want to get out earlier and

ii) those that want to get out later.

i) Sample proportion of those that want to get out earlier = 35%

Margin of Error = 4%

Interval estimate for those that want to get out earlier = (35%) ± (4%) = (31%, 39%)

ii) Sample proportion of those that want to get out later = 39%

Margin of Error = 4%

Interval estimate for those that want to get out later = (39%) ± (4%) = (35%, 43%)

b) Explain how it would be possible for the group that wants to get out of school earlier to win after all the votes are counted.

Since the interval estimates represent the range of values that the true population proportion can take on for each group that prefer a particular option, the group that wants to get out of school earlier van have their proportion take on values between 31% and 39%. If their true population takes on a value that is highest (which is very possible from the interval estimate), and the group with the highest proportion in the sample, (the group that wants to get out of school later, whose true population proportion can take between 35% and 43%) has a true population proportion that is less than that of the group that wants to get out of school earlier, then, the group that wants to get out of school earlier can win after all the votes are counted.

Hope this Helps!!!

7 0

3 years ago