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3 years ago

Which graph shows the result of dilating this figure by a factor of 4 about the origin?

Mathematics

2 answers:

Sati [7]3 years ago

8 0

Answer:

$A(-2,2);B(6,2);C(6,-2);D(-2,-2)$

Step-by-step explanation:

If the given figure is dilated by a scale factor of 4, that means the figure will be four times bigger.

We can get the coordinates of the dilated ifigure by using the scale factor on each coordinate.

The given figure has coordinates: $A'(-0.5, 0.5)$ , $B'(1.5,0.5)$ , $C'(1.5, -0.5)$ and $D'(-0.5,-0.5)$

So, the dilated coordinates are

$A(-2,2);B(6,2);C(6,-2);D(-2,-2)$

ipn [44]3 years ago

5 0

Answer:

Step-by-step explanation:

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Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group

Firdavs [7]

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

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