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3 years ago

Which of the following best defines 2 to the power of 2 over 3?

Mathematics

2 answers:

EleoNora [17]3 years ago

4 0

Hello,

$2^{\frac{2}{3}}=\sqrt[3]{2^2} =\sqrt[3]{4}$

Answer A

Arisa [49]3 years ago

4 0

The correct answer is the first option. Two to the power of 2 over 3 is best defined by Cube root of 4. It is best understood when written in numbers.

2^(2/3)

The denominator here represents the radical and the numerator is the power by which the base is raised. Therefore, it can be written as:

∛2^2 or ∛4

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Explain how two amounts of change can be the same but the percent of change can be different

densk [106]

If I understand the question correctly, you can have the same amount of change be two different percentages by having 4 quarters and 100 pennies.
Each quarter is 25%
Each penny is 1%
(am i explaining this right)

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4 years ago

Asafa runs 0.75 kilometers in 6 minutes. Jemaine runs 3,000 meters in half an hour. Who ran at a faster rate?

Lorico [155]

Answer:

Asafa ran at a faster rate

Step-by-step explanation:

Asafa's speed:

0.75 km/ 6 min = 750 m/ 6 min = 125 m/min

Jemaine's speed:

3000 m / 30 min = 100 m/min

Asafa ran at faster rate as 125 m/min > 100 m/min

5 0

3 years ago

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1070 - 950}{155}$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{25 - 22}{4}$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

8 0

4 years ago

Each marble bag sold by Rachel's Marble Company contains 3 purple marbles for every 2 green marbles. If a bag has 21 purple marb

kozerog [31]

The ratio is 3:2, purple :green
The bag has 21 purple so to get from 3 to 21 it is multiplied by 7; so we must also multiply the 2 by 7 to keep the ratio balanced.
21:14

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3 years ago

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Reptile [31]

I think the answer is 3. Hopes this helps!

4 0

3 years ago