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3 years ago

What is 2^-4 evaluated?

Mathematics

1 answer:

Nat2105 [25]3 years ago

4 0

Answer:

$0.0625$

Step-by-step explanation:

Anything to the power of a negative number, means you are taking a reciprocal of the same result to a positive power.

For example:

$2^{-1}=\frac{1}{2^1}=0.5$

Applying this same logic,

$2^{-4} = \frac{1}{2^4} =0.0625$

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The data below are the monthly average high temperatures for New York City. What is the five-number summary? 40, 40, 48, 61, 72,

yawa3891 [41]

Answer:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

Step-by-step explanation:

The first step is to write the temperatures in crescent order:

40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,

The sample minimum is the lowest value = 40

The sample maximum is the highest value = 84.

Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:

$M = \frac{61+65}{2}\\ M=63$

The first quartile is the average between the 3rd and 4th terms:

$Q_1 = \frac{42+48}{2}\\ Q_1=45$

The third quartile is the average between the 9th and 10th terms:

$Q_3 = \frac{76+78}{2}\\ Q_3=77$

Therefore, the answer is:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

8 0

3 years ago

On a map, 1 inch equals 20 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?

8_murik_8 [283]

If 1 inch equals 20miles then 8 inches equals 20 x 8 = 160 miles.

6 0

3 years ago

Read 2 more answers

a worker's earring E are a function of the number of hour, H at a rate of 12/hr. write a function tule for the solution. How man

Romashka [77]

Answer:

$E=12(H)$

A person should work 32 hours to earn $384

Step-by-step explanation:

A worker's earring E are a function of the number of hour, H at a rate of 12/hr.

We need to write the function.

The function will be:

Earning is represented by E and Hour is represented by H

$E=12(H)$

Now, How many hours would a person have to work to earn 384

We are given E=384, we need to find H

Putting values in above function and finding hours H

$E=12(H)\\384=12(H)\\H=\frac{384}{12}\\H= 32$

So, A person should work 32 hours to earn $384

8 0

3 years ago

There are 15 students on the debate team. Of these, 3 are boys. Give the ratio of boys to girls on the debate team in simplest f

anzhelika [568]

Answer:

1/5

Step-by-step explanation:

6 0

4 years ago

There are 50 tree frogs in the botanical gardens at t = 0. The population increases exponentially by 20% per year.

Elodia [21]

Answer:

f(t) = 50 * 1.2^t

f(3) = 50 * 1.2^3 = 86.4 tree frogs

f(t) = 50 * 1.2^t = 200 --> t = LN(200/50)/LN(1.2) = 7.604 years

f(-1) = 50 * 1.2^(-1) = 41.67 tree frogs

3 0

4 years ago