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3 years ago

Find the scale factor abc def

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

Answer:

The scale factor is 1.2.

Step-by-step explanation:

18/15 = 1.2

30/25 = 1.2

24/20 = 1.2

Hope that helps!

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An unbiased coin is tossed 20 times find the probability that the coin lands heads exactly 11 times

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Both the heads and tails will have a probability of 0.5 with a fair coin. ... TO find probability that foe the 7th toss head appears exactly 4 times.

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3 years ago

Round 1,393 to the nearest thousand

myrzilka [38]

The answer is 1,000 4 or below you round down and 5 or higher you round up

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3 years ago

Read 2 more answers

A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili

Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

$18x = 3*31$

$x = \frac{31*3}{18}$

$x = 5.17$

So $\mu = 5.17$

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

$P(X \geq 4) = 1 - P(X \leq 3)$

In which

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057$

$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

$P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242$

Finally

$P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758$

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0

4 years ago

Find the slope of the line passing through the points (-2, 9) and (-10, 33).

Nina [5.8K]

Slope = rise / run = Δy / Δx = (y2 - y1) / (x2 - x1) = [33 - 9] / [ (-10 - (-2)]

Slope = 24 / ( -8) = - 3

Answer: - 3

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3 years ago

Sam cut a flat wooden board into fourths. He used three of the pieces as backgrounds for posters. He used equal pieces of the le

grandymaker [24]

To answer this question you would start with 1 whole piece and break it into 4 equal pieces. Each piece would be 1/4 of the original.

If you used 3 of these, you are left with 1/4.

Out of the 1/4 leftover, you create 5 equal-sized pieces.

1/4 divided by 5.
1/4 x 1/5 = 1/20 of the original board for each.

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3 years ago