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3 years ago

Tank A initially contained 124 liters of water.

Mathematics

1 answer:

Taya2010 [7]3 years ago

4 0

The following amounts of water have not been listed.

However, to find m all you need to do it;

the amount of water which is in the tank - 124 = x

x ÷ 9 = m

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What number would have to be added to complete this square x^2 + 10x +?

Nady [450]

I believe 25 has to be added as
(x*5)^2 = x^2 + 10x + 25

5 0

3 years ago

The standard New York state license plate has three letters followed by four digits. How many different

Verizon [17]

Answer:

175,760,000 possible license plates

Step-by-step explanation:

There are 3 spots where there are 26 choices each

= 26 ^3

and 4 spots where there are 10 choices each (the digits 0 through 9,

= 10 ^4

This gives:

26^3*10^4=175,760,000

Hope this Helps...!!

8 0

3 years ago

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 is the area of the border,or the shaded region,of this figure in square inches HELP ILL GIVE BRAINLIEST PLEASEEE

TiliK225 [7]

Answer:

60 i think

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

I’m so confused.. a little help?

djyliett [7]

Answer:

Triangle has a greater perimeter.

Step-by-step explanation:

Triangle perimeter = 21cm

Add the sides.

Square perimeter = 16cm

Add the sides (since it's a square the sides are the same.)

5 0

3 years ago