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3 years ago

A number cube 1 through 6 will be rolled one time. what is the likelihood of rolling a 6?

Mathematics

1 answer:

cestrela7 [59]3 years ago

4 0

Answer:

1/6=unlikely

Step-by-step explanation:

1 desirable outcome

6 total outcomes.

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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

4 years ago

What does 5/9-1/12 equal to?

Elena-2011 [213]

$\frac{5}{9} - \frac{1}{12} = \frac{5 \times 4}{9 \times 4} - \frac{1 \times 3}{12 \times 3}$
$= \frac{ 20}{36} - \frac{3}{36}$
$= \frac{17}{36}$

3 0

4 years ago

a car travels an average speed of 64 miles per hour. how many miles does it travel in 5 hours and 15 minutes?

Contact [7]

Distance is speed or velocity multiplied by time: d = v * t

We know the speed of the car and the time it travelled, so input the two into the equation above and solve for the distance travelled.

d = v * t

d = 64 m/h * (5 hours and 15 minutes) = 64 m/h * (5.25 hours)

d = (64 * 5.25) miles

d = 336 miles

6 0

3 years ago

Help asappp pleaseeee

PilotLPTM [1.2K]

Answer:

117 degrees

Step-by-step explanation:

Two vertical angles will always equal each other.

So, set up an equation where angle A and angle B equal each other to solve for x:

5x - 3 = 4x + 21

5x = 4x + 24

x = 24

Plug in 24 for x in the expression represent angle A:

5(24) - 3

120 - 3

117

7 0

3 years ago

Trisha has two boxes of marbles

ololo11 [35]

Answer:

Trisha has two boxes of marbles than

to find probability

use formula

probability =no.of given marble/total no of marble

6 0

3 years ago

Read 2 more answers