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3 years ago

Need full answer explaining please

Mathematics

2 answers:

Lesechka [4]3 years ago

6 0

Angle y making a line with 80° and 60° it means their sum should be =180°
80°+60°+y=180°
y=40° so x=40° because they are vertical angels and vertical angels are equal

Gnesinka [82]3 years ago

5 0

A straight angle is equal to 180 degrees. 180-80=100. 100-60=40. so y=40. vertical angles are congruent so x=40 degrees.

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Can someone help me with this question?

elixir [45]

Answer:

A. the number of hours it takes for him to finish the race.

Step-by-step explanation:

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3 years ago

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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:

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

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

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

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3 years ago

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emmainna [20.7K]

Anwser: 4x^5-3x^4-4x^3+8x^2-5

Step-by-step explanation:

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2 years ago

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fgiga [73]

Answer:

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Step-by-step explanation:

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3 years ago

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Which of the following is the correct factorization of the polynomial below?<br> x3 + 14x2 + 49x

Naddika [18.5K]

For this case we must factor the following polynomial:

$x ^ 3 + 14x ^ 2 + 49x\\$

We can take common factor x:

$x(x ^ 2+ 14x + 49)$

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Answer:

$x (x + 7) ^ 2$

7 0

3 years ago

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