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2 years ago

14

The vertices of triangle DEF are D(12, -8), E(-4, -8), and F(-4, 16). The triangle is dilated with a scale factor of 1/4. Estima

te the perimeter of the dilated figure to the nearest whole number.

1 answer:

azamat2 years ago

5 0

Answer:

6

Step-by-step explanation:

2

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In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quali

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Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

$X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}$

$= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}$

$= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}$

$= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}$

$= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}$

= 0.0087999

≅ 0.0088

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2 years ago

Consider a sampling distribution with p equals 0.12 and samples of size n each. Using the appropriate formulas, find the mean a

Mandarinka [93]

<h2>Answer with explanation:</h2>

Consider a sampling distribution with p equals 0.12 and samples of size n each.

Then, formula for mean = p

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(a) For a random sample of size n equals 5000.

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(b) For a random sample of size n equals 1000.

Mean = 0.12

Standard deviation= $\sqrt{\dfrac{0.12(1-0.12)}{1000}}$

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(c) For a random sample of size n equals 500.

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$\\\\=0.0145327216997\approx0.0145$

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Check the variables' degrees and their coefficients' signs to determine the type of the conic.

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