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3 years ago

Why does cube root 7 equal 7 to the 1/3 power

Mathematics

1 answer:

UNO [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Here's how you convert:

$\sqrt[n]{x^m}=x^{\frac{m}{n}$ The little number outside the radical, called the index, serves as the denominator in the rational power, and the power on the x inside the radical serves as the numerator in the rational power on the x.

A couple of examples:

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

$\sqrt[5]{x^7}=x^{\frac{7}{5}$

It's that simple. For your problem in particular:

$\sqrt[3]{7}$ is the exact same thing as $\sqrt[3]{7^1}=7^{\frac{1}{3}$

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Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 677 random

Alika [10]

Answer: The value of test statistic is -0.052.

Step-by-step explanation:

Since we have given that

n = 677

and

$\bar {p}=0.499$

Claim that Most of the adults erase all of their personal details online.

p = 0.5

q = 1-0.5 = 0.5

So, the test statistic would be

$z=\dfrac{\bar{p}-p}{\sqrt{\dfrac{pq}{n}}}\\\\z=\dfrac{0.499-0.5}{\sqrt{\dfrac{0.5\times 0.5}{677}}}\\\\z=\dfrac{-0.001}{0.0192}\\\\z=-0.052$

3 0

3 years ago

What is the probability that a two-digit number selected at random has a tens digit less than its units digit

Reika [66]

The probability that a two-digit number selected at random has a tens digit less than its units digit is 0.2667 (4/15).

$A=24B=90\\\\P=A/B\\\\P=24/90\\p=4/15$

There are 90 two-digit numbers (99-9). Of these, six numbers are divisible by 15 (15, 30, 45, 60, 75, 90). This is also divisible by 5. Therefore, the preferred case is 30-6 = 24. Therefore, the required probability is 24/90 = 4/15.

The probability of an event can be calculated by simply dividing the number of favorable results by the total number of possible results using a probabilistic expression. Whenever you are uncertain about the outcome of an event, you can talk about the probability of a particular outcome, that is, its potential.

Learn more about probability here: brainly.com/question/24756209

#SPJ4

6 0

2 years ago

Please someone tell me the answers to these I dont remember how to do it

Delvig [45]

Answer:

1) (3 - 6x)(-8) = (-8)(3) - (-8)(6x) = -24 - (-48x) = -24 + 48x = 48x - 24

2) (-12)(2x - 3) = (-12)(2x) - (-12)(3) = -24x - (-36) = -24x + 36 = 36 - 24x

3) (10 - 2x)9 = (9)(10) - (9)(2x) = 90 - 18x

4) (-5)(11x - 2) = (-5)(11x) - (-5)(2) = -55x - (-10) = -55x + 10 = 10 - 55x

5) (1 - 9x)(-10) = (-10)(1) - (-10)(9x) = -10 - (-90x) = -10 + 90x = 90x - 10

6) (-6)(x + 8) = (-6)(x) + (-6)(8) = -6x + (-48) = -6x - 48

7) (-4 + 3x)(-8) = (-8)(-4) + (-8)(3x) = 32 + (-24x) = 32 - 24x

8) (-5)(1 - 11x) = (-5)(1) - (-5)(11x) = -5 - (-55x) = -5 + 55x = 55x -5

9) (-12x + 14)(-5) = (-5)(-12x) + (-5)(14) = 60x + (-70) = 60x - 70

Step-by-step explanation:

The distributive property is a(b + c) = ab + ac

8 0

2 years ago

If you can buy 1⁄3 of a box of chocolates for 6 dollars, how much can you purchase for 4 dollars? Write your answer as a fractio

lesya [120]

You can buy 2/9 boxes from 4 dolars

3 0

3 years ago

You are graphing Square ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the square: A(4,

Kitty [74]

Answer:

D(4,-3)

Step-by-step explanation:

Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)

Let the coordinate of the fourth vertex be D(x,y).

We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.

The diagonals are BD and AC

Midpoint of BD = Midpoint of AC

$\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3$

The coordinates of the fourth vertex is D(4,-3)

3 0

3 years ago