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xz_007
22 days ago
15

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

Mathematics
1 answer:
Zina [9.1K]22 days 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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a homeowner wants to carpet two rooms that each measure 12 ft by 15 ft. how many square yards of carpet should be ordered
lawyer [9240]
3 feet equals 1 yard. This simplifies to 12/3 = 4 and 15/3 = 5. Therefore, by multiplying these together, you find that each room requires 20 square yards, leading to a total of 40 square yards for both rooms.
7 0
4 days ago
A statue is mounted on top of a 16 foot hill. From the base of the hill to where you are standing is 77 feet and the statue subt
babunello [8412]

Imagine a right triangle where vertex B is at the base of the hill, vertex S is at the top of the statue, and vertex Y represents your position. This triangle has a right angle at B, and angle Y measures 13.2°. Let h denote the height of the statue, making the lengths of sides YB and BS equal to 77 ft and 16+h ft, respectively.

With the lengths of two sides and one angle known, the height h can be determined using the tangent function:

\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\ \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565 ft.

Result: the height of the statue calculates to be 2.0565 ft.

8 0
16 hours ago
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Which subtraction sentences show you how to find 15-7
AnnZ [9099]
To start off, divide 7 from 15 which equals 8, then when you add 7 to 8, you reach 15. Thus, the answer is 8.
8 0
28 days ago
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Automobile repair costs continue to rise with the average cost now at $367 per repair (U.S. News & World Report website, Jan
babunello [8412]

Reply:

\mu = 367

\sigma = 88

a. What is the likelihood that the cost will exceed $450?

We need to determine P(x > 450)

Formula: z=\frac{x-\mu}{\sigma}

z=\frac{450-367}{88}

z=0.9431

Consult the z table:

P(z<0.9431)=0.8264

P(z> 0.9431)=1-P(z<0.9431)=1- 0.8264= 0.1736

Therefore, the probability that the repair costs will surpass $450 is 0.1736

b)What is the likelihood that the repair cost is below $250?

We need to establish P(x<250)

Formula: z=\frac{x-\mu}{\sigma}

z=\frac{250-367}{88}

z=-1.3295

Referencing the z table:

P(z<-1.3295)=0.0934

Hence, the probability that the cost will be under $250 is 0.0934

c)What is the likelihood that the repair cost is in the range of $250 and $450?

P(250<z>

Therefore, the likelihood that the repair costs will fall between $250 and $450 is 0.733

d) If your car repair expense ranks in the lowest 5% of all automobile repair costs, what would your payment be?

p = 0.05

checking against the z table

z = -1.65

Formula: z=\frac{x-\mu}{\sigma}

-1.65=\frac{x-367}{88}

-1.65 \times 88=x-367

-145.2+367=x

221.8=x

Thus, if your repair price falls within the lowest 5% of car repair costs, the amount charged would be $221.8

</z></p>
4 0
6 days ago
Max is analyzing the test scores he earned in his biology class. The class had 7 tests, on which he scored 85, 93, 78, 90, 88, 9
tester [8842]

Hi there!

To calculate the mean, we first need to sum all the scores and divide by the total number of tests.

85+93+78+90+88+97+88=619

619/7≈88.43

Mean≈88.43

Next, we will determine the median by arranging the scores in ascending order.

78,85,88,88,90,93,97

To find the median, we look for the middle score, which is 88.

Median: 88

Lastly, we identify the mode, which is the score that occurs most frequently. Here, 88 appears twice while the others appear once, making 88 the mode.

Mode:88

I hope this is useful!

5 0
19 days ago
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