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notsponge [240]
3 years ago
6

Solve exponential equation with different bases: 17^j=16

Mathematics
1 answer:
Rasek [7]3 years ago
8 0

Answer:{−17}. In Example 1, we were able to write the left and right sides of the equation with a common base. ... To solve such an equation, we can take a logarithm of the same base on ... Steps to Solve Exponential Equations by Using Logarithms ... of x is a solution to the logarithmic equation. 35. log2(x − 31) = 5 − log2 x a. x = 16.

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3 years ago
Suppose that IQ scores have a bell-shaped distribution with a mean of 99 and a standard deviation of 14. Using the empirical rul
algol [13]

Answer:

About 99.7% of the IQ scores would be between 57 and 141.

Step-by-step explanation:  

The Empirical Rule about a bell-shaped curve states that :

  • 68% of the data lies within one standard deviation of the mean (both left-side and right-side)
  • 95% of the data lies within two standard deviations of the mean (both left-side and right-side)
  • 99.7% of the data lies within three standard deviations of the mean (both left-side and right-side)

Now, we need to find what percentage of IQ scores lies between 57 and 141 : Mean = 99 and standard deviation = 14

141 – 99 = 42

              = 3 × 14

Thus, 141 is 3 standard deviations to the right of the mean.

99 – 57 = 42

              = 3 × 14

Thus, 57 is 3 standard deviations to the left of the mean.

Since 57 to 141 is within 3 standard deviations of the mean, and according to empirical formula stated above : about 99.7% of the IQ scores would be between 57 and 141.

8 0
3 years ago
Find the measure of each angle of a regular polygon with 8 sides
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\bf \textit{sum of all interior angles in a polygon}\\\\&#10;\stackrel{sum}{\theta n}=180(n-2)\quad &#10;\begin{cases}&#10;\theta =angle~in\\&#10;\qquad degrees\\&#10;n=\textit{number of sides}\\&#10;---------\\&#10;n=8&#10;\end{cases}\implies \theta 8=180(8-2)&#10;\\\\\\&#10;\theta 8=180(6)\implies \theta 8=1080\implies \theta =\cfrac{1080}{8}\implies \theta =135
5 0
4 years ago
Can someone pleaseee help me i’ll give you brainliest
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I honestly think it’s the last option, I hope this is correct! Truly sorry if it’s not
6 0
3 years ago
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For a birthday party, Mr. Perkins orders 8 chocolate chip cookies and 16 sugar cookies. Each cookie is the same price. He also p
Butoxors [25]

Answer:

2 dollars

Step-by-step explanation:

5 0
3 years ago
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