Again. I need help with this

Mathematics

1 answer:

statuscvo [17]3 years ago

6 0

Answer:

Option B.

Step-by-step explanation:

Scale factor of the image = $\frac{\text{One side of the triangle FED}}{\text{Corresponding side of the triangleABC}}$

= $\frac{\text{DF}}{\text{AC}}$

= $\frac{3}{6}$

= $\frac{1}{2}$

Coordinates of point C → (-2, 2)

Coordinates of the corresponding point C' after dilation with a scale factor $\frac{1}{2}$ ,

C(-2, 2) → C'(-1, 1)

Coordinates of point C' after reflection across y-axis,

C'(-1, 1) → C"(1, 1)

Followed by the translation of 2 units downwards,

C"(1, 1) → D[1, (1 - 2)]

→ D(1, -1)

From the graph we get the same coordinates of point D as (1, -1).

Therefore, ΔABC was dilated by a scale factor of $\frac{1}{2}$ , reflected across the y-axis and moved through the translation of 2 units downwards.

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mario62 [17]

Answer:

a) P(1) = 0.1637

b) $P(x\geq 2) = 0.0176$

c) E(x) = 0.2

Step-by-step explanation:

If X follows a poisson distribution, the probability that a disk has exactly x missing pulses is:

$P(x)=\frac{e^{-m}*m^x}{x!}$

Where m is the mean and it is equal to the value of lambda. So, replacing the value of m by 0.2, we get that the probability that a disk has exactly one missing pulse is equal to:

$P(1)=\frac{e^{-0.2}*0.2^1}{1!}=0.1637$