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prisoha [69]
3 years ago
14

Solve P = 8/3 R + 30 for R.

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = \frac{8}{3}R

multiply each side by \frac{3}{8} to get:

\frac{3}{8} · P - 30 = R

R = (3P-30)/8

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What is the circumference of the circle? d=44in​
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138.23 in

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The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.
evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}

b) P(population with IQ between 120 and 125.)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%

P(120 \leq x \leq 125) = 4.4\%

6 0
3 years ago
Using the results from parts D through G, write an expression that represents the number of years elapsed between the disappeara
nlexa [21]

The mathematical expression to represent the number of years elapsed since the disappearance of Helike until the end of the American Civil War is:

  • T (years from Helike's disappearance to the end of the Civil War) = w + 373

To reach this conclusion we had to search for additional information and found that the year of the disappearance of the Greek city of Helike is -⅕ times the year the American Civil War ended.

  • Helike's disappearance year = (-w / 5)

According to the previous expression, the year of Helike's disappearance is:

  • Helike's disappearance year = (-1865/5) = -373

According to the previous data, it can be inferred that the expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War is:

  • T = w + 373
  • T = 1865 + 373
  • T = 2238

Note: This question is incomplete because the is some information missing. However, I can answer it based on my prior knowledge.

Learn more about Civil War in: brainly.com/question/14234520

3 0
2 years ago
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