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4 years ago

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1 answer:

Anit [1.1K]4 years ago

5 0

When we have exponents like such (x^-6)^-2 , the numbers are multiplying, so we have x^12, then we take that value and, because it is dividing with the same base, we substract the numbers, so x^12-(-4) = x^16.

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The line segments of a cube include edges, the diagonals of the faces, and the diagonals through the interior of the cube. Which

Ksenya-84 [330]

They diagonal through the interior of the cube is the longest. The hypotenuse is the longest side of a right triangle. The diagonal of the cube is the hypotenuse of a right angle with legs that are diagonal of a face and an edge. The edges are the shortest. They are legs of a right triangle with the diagonal of a face as the hypotenuse.

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3 years ago

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List the first 4 terms of the sequence 2n² +n -2

xxTIMURxx [149]

Answer:

1, 7, 17, 31

Step-by-step explanation:

2(1)² + 1 - 2 = 3-2 = 1

2(2)² + 1 - 2 = 9-2 = 7

2(3)² + 1 - 2 = 19-2 = 17

2(4)² + 1 - 2 = 33-2 = 31

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3 years ago

a merchant gains 15% by selling an article for $ 150. by how much does he sell it to double his profit ?

viva [34]

Answer:

30/100×150=

24/5%, that is the answer

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3 years ago

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WILL GIVE A BRAINLEST-GEOMETRY

Mrrafil [7]

1.3x, 2.area, 3.6, 4.3/2

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3 years ago

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Watching tv: in 2012, the general social survey asked a sample of 1310 people how much time they spend\t watching tv each day. T

gayaneshka [121]

Answer:

a) Null hypothesis: $\mu \geq 3$

Alternative hypothesis: $\mu < 3$

This hypothesis test is a left tailed test.

b) $t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784$

The p value for this case can be calculated with this probability:

$p_v =P(z$

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value $\mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310$ and for the alternative we select $< \mu_o$ . Then press Calculate.

And we got the same results.

Step-by-step explanation:

Information given

$\bar X=2.8$ represent the sample mean

$s=2.6$ represent the population standard deviation

$n=1310$ sample size

$\mu_o =3$ represent the value to test

$\alpha=0.5$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value for the test

Part a) System of hypothesis

We want to test if the true mean is less than 3, the system of hypothesis would be:

Null hypothesis: $\mu \geq 3$

Alternative hypothesis: $\mu < 3$

This hypothesis test is a left tailed test.

Part b

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784$

The p value for this case can be calculated with this probability:

$p_v =P(z$

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value $\mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310$ and for the alternative we select $< \mu_o$ . Then press Calculate.

And we got the same results.

6 0

3 years ago