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2 years ago

A) Write down the mathematical name of this shape.

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

4 0

Answer:

Quadrilateral as it is a four-sided ploygon, having 4 edges and corners

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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

3 years ago

What is the mean, median, and mode of 6,2,3,4,4,2,8,5,2

bearhunter [10]

Answer:

Mode=2

Median=4

Step-by-step explanation:

Mode you add all the numbers and divide by the actual number of the numbers given.

Median you cancel the numbers from first to last until you reach the one in the middle that's going to be the median.

5 0

3 years ago

Suppose your family buys a "movie card" from a DVD

topjm [15]

Y = 3x + 25, because I’m assuming that that you start by renting 25 movies.

8 0

2 years ago

Victoria wants to purchase a skateboard. She finds it regularly sells for $139.99 and is on sale for 15% off.

Anna [14]

Answer:

118.99

Step-by-step explanation: 15% off so you're only gonna pay 85% of 139.99. so 139.99 times 85% is 118.99

4 0

2 years ago

Regular triangular pyramid has the slant height k=12 cm and lateral area AL = 198 cm2. Find the length of the base edge.

KATRIN_1 [288]

To find this answer you will use the formula for finding the area of the triangle because that shape is a triangle.

A = 1/2 bh
198 = 1/2 x b x 12
198 = 6b
b = 33 cm

We know the total area and we know the slant height is 12 cm so we substitute these in and solve for h.

The length of the base edge is 33 cm. You should substitute this back in to check.

1/2 x 33 x 12 = 198 square cm.

6 0

3 years ago

Read 2 more answers