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2 years ago

Plz only correct answers!

Mathematics

2 answers:

Softa [21]2 years ago

3 0

Answer:

Step-by-step explanation:

30- 14=16

kondaur [170]2 years ago

3 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{16}}}}}$

Option B is the correct option.

Step-by-step explanation:

Let's create an equation

$\sf{CD + DE = CE}$

plug the values

$\sf{14 + DE = 30}$

Move 14 to right hand side and change its sign

$\dashrightarrow{ \sf{DE = 30 - 14}}$

Subtract 14 from 30

$\dashrightarrow{ \sf{DE = 16}}$

Hope I helped!

Best regards! :D

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Determine the slope.( look at picture)

choli [55]

Answer:

m = 3/4

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3 years ago

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:

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

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