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pav-90 [236]
3 years ago
6

Which number sentence is true?

Mathematics
2 answers:
Dmitry [639]3 years ago
6 0
The answer is b hope this helps
kiruha [24]3 years ago
5 0

Answer:

The answer is B: -56.8 3.2 = 17.75

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it is b

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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
Find m∠1 and m∠3 in the kite. The diagram is not drawn to scale.
Alex_Xolod [135]

Answer:

m<1 = 39°

m<3 = 180-90-39= 51°

Step-by-step explanation:

Lines AC and DB are diagonals and always meet at right angles.

Kites have two sets of equivalent adjacent sides and one set up of congruent opposite angles.

3 0
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