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3 years ago

If you know the answer could you help me on it

Mathematics

1 answer:

Kipish [7]3 years ago

6 0

Answer:

The answer is B because the numbers in the geometric sequence are being multiplied by 2.

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3 years ago

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An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a bin

Advocard [28]

Answer:

a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Step-by-step explanation:

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Poisson distribution:

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 interval.

To use the Poisson approximation for the binomial, we have that:

$\mu = np$

1 in every 2500 automobiles produced has a particular manufacturing defect.

This means that $p = \frac{1}{2500} = 0.0004$

a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.

This is $P(X = 4)$ when $n = 7000$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558$

0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.

Using the approximation:

$\mu = np = 7000*0.0004 = 2.8$ . So

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

$P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557$

0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

6 0

3 years ago

Hello I'm stuck on this homework question and need help please thank you

Alexxx [7]

We need to find the surface area of the solid.

Since it's formed by cubes with edges of 1 meter, each square on the surface of the solid has an area equal to:

$1\text{ meter }\times1\text{ meter }=1\text{ meter}^2$

Thus, to find its surface area, we need to count the number of squares on its surface, and then multiply this number by 1 meter².

We can see that this solid has two equal latera surfaces (right and left). Each one of them has 17 squares.

Also, the number of squares on the horizontal surfaces is the same on the top and bottom of the solid. Each one of them has 10 squares.

And the vertical surfaces on the front and back of the solid have the same number of squares: 8 squares each.

Then, adding those quantities and multiplying the result by two, we find the total number of squares on the surface of the solid:

$2\times(17+10+8)=2\times35=70$

Therefore, the surface area of the solid is 70 m².

6 0

1 year ago

What does z equal? . . .

maxonik [38]

Answer.

z = x+66(sum of two opposite interior angle of triangle is to the exterior angle)

=40 +66

=106

7 0

2 years ago

Imaginary Numbers what is i^16 A 1 B i C -1 D -i

cricket20 [7]

Answer:

A: 1

Step-by-step explanation:

$i^{16}=\left(i^2\right)^8=\left(-1\right)^8=1$

8 0

3 years ago

Read 2 more answers