3 years ago

Which transformation is happening in the image below

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

Answer:

B.) Reflection over y=-3

Step-by-step explanation:

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Statement 1: A closed figure is a regular octagon if and only if it has exactly 8 congruent sides.

TEA [102]

Answer:

statement 2 is the inverse of statement 1

5 0

2 years ago

Angie is making wreaths to sell at a craft show. She has 6.5 yards of ribbon. Each wreath has a bow made from 1 1/3 yards of rib

Elodia [21]

Angie has a total of 6.5 yards of ribbon. Her goal is to take advantage over it by making a wreath. Each wreath has length of 1 1/3 yards.
In order for us to know how many wreath will be made, we'll divide the fraction to the total length of the ribbon.

= 6.5 / 1 1/3
= 6 1/2 / 4/3
= 13/2 * 3/4
= 39 / 8
= 4.875

So, there are 4 bows or wreath can be made.

7 0

3 years ago

Let X1, . . . ,Xn be an i.i.d. random sample from a N(0, 1) population. Define Y1 = 1 n n X i=1 Xi , Y2 = 1 n n X i=1 |Xi| . Cal

nalin [4]

For each $1\le i\le n$ , $E[X_i]=0$ , so that

$\displaystyle E[Y_1]=E\left[\frac1n\sum_{i=1}^nX_i\right]=\frac1n\sum_{i=1}^nE[X_i]=0$

Meanwhile,

$\displaystyle E[Y_2]=\frac1n\sum_{i=1}^nE[|X_i|]$

Each of the $X_i$ have PDF

$f_{X_i}(x)=\dfrac1{\sqrt{2\pi}}e^{-x^2/2}$

for $x\in\Bbb R$ . From this we get

$E[|X_i|]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty|x|e^{-x^2/2}\,\mathrm dx=\sqrt{\frac2\pi}\int_0^\infty xe^{-x^2/2}\,\mathrm dx=\sqrt{\frac2\pi}$