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Arlecino [84]
3 years ago
7

Question help please these are them 3

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer: 0

<u>Step-by-step explanation:</u>

log_{m} 1 = x

   1 = mˣ

   1 = m⁰

**************************************************************

Answer: x = -\frac{2}{33}

<u>Step-by-step explanation:</u>

log₁₀ (1 - 6x) = 2         restriction: 1 - 6x > 0    ⇒     x < \frac{1}{6}

        1 - 6x = 10²

        1 - 6x = 100

     <u> -1         </u>     <u> -1 </u>

           -6x = 99

            \frac{-6x}{-6} = \frac{99}{-6}

              x = -\frac{2}{33}

**************************************************************

Answer: x = -\frac{3}{5}

<u>Step-by-step explanation:</u>

\frac{1}{\sqrt[5]{27} } = 3ˣ

\frac{1}{\sqrt[5]{3^{3}} } = 3ˣ

\frac{1}{3^{\frac{3}{5} } } = 3ˣ

3^{-\frac{3}{5} = 3ˣ

-\frac{3}{5} = x

**************************************************************

Answer: x = \frac{5}{9}

<u>Step-by-step explanation:</u>

ln 2 + ln x = ln 5 + ln (4x - 2)

ln (2(x)) = ln (5(4x - 2))

     2x   =   5(4x - 2)

     2x   =   20x - 10

<u>  -20x  </u>    <u> -20x        </u>

  -18x  =             -10

       \frac{-18x}{-18} = \frac{-10}{-18}

         x = \frac{5}{9}

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We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden
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Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In this problem, we have that:

p = 0.5, M = 0.1

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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(\sqrt{n})^{2} = (9.8)^{2}

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The minimum number of cities we need to contact is 96.

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3 years ago
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The correct answer: F (Scalene) and A (Acute)

Step-by-step explanation:

F. (Scalene):  By definition, a scalene triangle is a triangle that has no equal sides, and no equal angles. This definition matches your given triangle, since it has no equal sides and angles.

A. (Acute): By definition, an acute triangle is a triangle in which all the internal angles are less than 90 degrees. This definition matches your given triangle, since all of the internal angles are less than 90 degrees.

The given triangle is not obtuse, equilateral, right, and isoceles.

It is <u>not</u> an <em>obtuse </em>triangle because none of the angles are greater than 90 degrees.

It is <u>not</u> an <em>equilateral</em> triangle because its sides are not equal.

It is <u>not</u> a <em>right</em> triangle because none of its internal angles measure 90 degrees.

And it is <u>not</u> an <em>isoceles</em> triangle because by definition, an isoceles triangle must have two equal sides. Your given triangle has no equal sides.

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3 years ago
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