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Delvig [45]
2 years ago
8

HELP

Mathematics
1 answer:
serg [7]2 years ago
4 0

Answer:

5 percent monthly because because it creates more interest

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Find each missing measure.
Neporo4naja [7]

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m<A = 84

AC = 9

Step-by-step explanation:

We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.

48+48+A=180

96+A=180

A=84

We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.

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Shawn bought a hat for $17.00, shorts for $24.00 and a shirt for $12.00. How much did he spend in all?
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A quantity x has cumulative distribution function p(x) = x − x2/4 for 0 ≤ x ≤ 2 and p(x) = 0 for x &lt; 0 and p(x) = 1 for x &gt
34kurt
F_X(x)=\begin{cases}0&\text{for }x2\end{cases}

Recall that the PDF is given by the derivative of the CDF:

f_X(x)=\dfrac{\mathrm dF_X(x)}{\mathrm dx}=\begin{cases}1-\dfrac x2\\\\0&\text{otherwise}\end{cases}

The mean is given by

\mathbb E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx=\int_0^2\left(x-\dfrac{x^2}2\right)\,\mathrm dx=\frac23

The median is the number M such that F_X(x)=\mathbb P(X\le M)=\dfrac12. We have

F_X(M)=M-\dfrac{M^2}4=\dfrac12\implies M=2\pm\sqrt2

but both roots can't be medians. As a matter of fact, the median must satisfy 0\le M\le2, so we take the solution with the negative root. So M=2-\sqrt2 is the median.
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3 years ago
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