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xz_007
2 months ago
15

Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x?

Mathematics
1 answer:
Zina [12.3K]2 months ago
8 0

To determine an equivalent for RootIndex 3 StartRoot 8 EndRoot Superscript x, we can proceed with =2^x

Detailed Explanation:

We aim to express RootIndex 3 StartRoot 8 EndRoot Superscript x in a different form.

In mathematical terms:

(\sqrt[3]{8})^x

To solve:

Notably, 8 can be broken down into 2 multiplied by itself three times = 2^3

and \sqrt[3]{x}=x^{\frac{1}{3}}

Using these principles:

=((2^3)^{\frac{1}{3}})^x

=(2^{\frac{3}{3}})^x\\

=2^x

Thus, as we find a solution to RootIndex 3 StartRoot 8 EndRoot Superscript x, it results in =2^x

Terms: Radical Expression

Explore more about Radical Expression at:

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Integrated circuits from a certain factory pass a particular quality test with probability 0.75. The outcomes of all tests are m
tester [12383]

Answer:

The anticipated number of tests required to identify 680 acceptable circuits is 907.

Step-by-step explanation:

For any circuit, there are two potential results: it either passes the test or it fails. The likelihood of passing is independent between circuits. Therefore, we apply the binomial probability distribution to address this scenario.

Binomial probability distribution

This distribution calculates the chance of obtaining exactly x successes across n trials, where x has only two possible outcomes.

To find the expected number of trials to achieve r successes with a probability p, the formula is given by:

E = \frac{r}{p}

Circuits from a specific factory pass a certain quality evaluation with a probability of 0.75.

Thus, to determine the expected number of tests needed for 680 acceptable circuits, let’s denote this as E where r = 680.p = 0.75

E = \frac{r}{p}

E = \frac{680}{0.75}

E = 907

The expected number of tests necessary to find 680 acceptable circuits is 907.

8 0
2 months ago
The newly elected Chancellor of the Galactic Federation is interested in the opinions of all citizens regarding economic conditi
lawyer [12517]
Step-by-step approach: The Chancellor should implement a multi-stage sampling method for the survey. Initially, random samples of solar systems should be selected from the galaxy, followed by sampling planets within the chosen solar system, and finally, a random selection of countries within those planets.
7 0
1 month ago
At breakfast, a restaurant charges $2 for the first cup of orange juice and then $1 for each refill. Which graph represents this
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The correct answer is that you start with no refills, paying $2 for the first drink, and when you receive a refill, you pay an additional $1, totaling $3.
7 0
1 month ago
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What is the range of the exponential function shown below
tester [12383]

Answer : y>0

f(x) = 9*2^x

This function is exponential in form

f(x) = 9*2^x

Substituting positive numbers for x yields positive y values

Substituting negative numbers for x also results in positive y values

Therefore, y remains positive regardless of the value of x.

The range comprises all possible y outputs of the function

Since y is always positive, the range is y > 0

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3 months ago
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