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3 years ago

I'm confused. I tried reversing it...

Mathematics

2 answers:

Tamiku [17]3 years ago

5 0

It is 93 don’t need reverseeee

sineoko [7]3 years ago

4 0

Answer:

c=93

Step-by-step explanation:

35+3(x+2)+52=180

87+3(x+2)=180

87+3x+6=180

93+3x=180

3x=180-93

3x=87

x=87/3

x=29

3(29+2)

3(31)=93

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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

A square wrestling mat has a perimeter of (12x-32) feet. Write an expression in simplest form that represents the side length (i

Gnom [1K]

The equation is 12x-32=p. p is the perimeter. You would have to work backward and add 32 to p, making the equation now 12x=p+32. Now you have to divide it by 12, so the final expression is x=p+32/12 ( x equals p plus 32 over 12)

8 0

4 years ago

The graph below shows the distance, y, that a car traveled in x hours:

Vika [28.1K]

This is a linear relationship as the rate of change is constant, ie constant velocity. And the slope represents the velocity, and slope is:

m=(y2-y1)/(x2-x1)

m=(50-25)/(2-1)=25/1

m=25

So the rate of change is 25 mph

5 0

3 years ago

Read 2 more answers

PLEASE HELP RLLY APPRICIATEDddd

swat32

32oz is the answer to that

3 0

3 years ago

I really need help with all the questions

nlexa [21]

1. 1,728

2. You can't tell because it doesn't say the amount one serving will serve, and how many servings she is serving, and how many people come to her party. Sorry!!

I hope I helped with the first one!

4 0

3 years ago

I'm confused. I tried reversing it...​

I'm confused. I tried reversing it...