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3 years ago

1 ln(1) + 2 ln(2) + 3 ln(3) + ⋯ + 10 ln(10)

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

Answer:

$\ln(1\cdot2^{2} \cdot3^{3}\cdot4^{4} ...\cdot10^{10} )$

Step-by-step explanation:

By logarithm rules

$\ln1+2\ln2+3\ln3+....+10\ln10\\\ln1+\ln2^2+\ln3^3+....\ln10^{10}\\\ln(1\cdot2^{2} \cdot3^{3}\cdot4^{4} ...\cdot10^{10} )$

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2. A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its rec

GaryK [48]

Answer:

Ther has been an increase in the selling time.

Step-by-step explanation:

Step 1. Specify the null hypotesis

In this case, we have to demonstrate that the selling time is now different than before the drought.

$H_{0}: \mu=90\\H_{1}: \mu\neq 90$

Step 2. Choose a significance level

In this problem, is 0.10

Step 3. Compute the mean

In this case, the mean of the sample is 94.

Step 4. Compute the probability value (p) of obtaining a difference between the mean of the sample and the hypothesided value of μ.

$t=\frac{M-\mu}{s/\sqrt{N}} =\frac{94-90}{22/\sqrt{100} }=\frac{4}{2.2} = 1.818$

The degrees of freedom are calculated as (N-1) = (100-1) = 99. Then we can look up in the t-table (http://davidmlane.com/hyperstat/t-table.html) to calculate the probability value of a t of 1.818 with 99 degrees of freedom. The value of this probability is 0.05.

Step 5. Compare the P-value (0.05) with the significance level (0.10). Since the P-value is less than the significance level, the effect is significant.

Since the effect is significant, the null hypotesis is rejected.

It is concluded that the mean of the selling time has changed (increase) from its previous value.

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3 years ago

Select the correct answer from each drop-down menu. Polygon ABCD goes through a sequence of rigid transformations to form polygo

Viktor [21]

Answer:

The sequence of transformations involved is a reflection across the x axis, followed by a reflection across the y = x line

Step-by-step explanation:

The polygon ABCD is shown in the image attached. The coordinates of the polygon are A(-6, 6), B(-4, 6), C(-4, 4), D(-6, 2), while the polygon A'B'C'D' is at A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)

A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.

If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y).

If a point O(x, y) is reflected across the y = x line, the new coordinate is O'(y, x)

Hence if polygon ABCD is reflected across the x axis, the new coordinates are A*(-6, -6), B*(-4, -6), C*(-4, -4), D*(-6, -2). If a reflection across the y = x line, the new coordinates are A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)

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3 years ago

What is the volume of a cone with a radius of 4 centimeters and a height of 9 centimeters? Use 3.14 to estimate p.

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The volume is 150.8 cm³

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3 years ago

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Ratling [72]

Answer:

x = 10, y ≈ 11.2

Step-by-step explanation:

Hi there,

We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.

$a^{2}$ + $b^{2}$ = $c^{2}$ ← Pythagorean Theorem