The scientific notation of 0.004897

Practice simplifyin

Andrei [34K]

Answer:

Step-by-step explanation:

6x(x+3)(x-2)

6x(x^2+3x-2x-6)

6x(x^2+x-6)

6x^3+6x^2-36x

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3(x-2/x+9)

3x-6/x+27

3x^2/x-6/x+27

(3x^2-6)/x+27

(3x^2-6)/x+27x/x

(3x^2-6+27x)/x

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0*2x=0

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x-3=x-3

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2x=2x

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x-9=x-9

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3 0

2 years ago

Help needed ASAP will give BRAINLIEST not a real test

sergey [27]

C
You would do 12x30 for the 12 months in 30 years = 360 then you would do 643.33x360 and that’s your answer

4 0

3 years ago

Which of the following statements is true

Anettt [7]

Answer:

c. This quadratic equation has two complex solutions.

Step-by-step explanation:

Of the choices ...

a. This quadratic equation has exactly one real solution.

b. This quadratic equation has two real solutions.

c. This quadratic equation has two complex solutions.

d. This quadratic equation has no solutions.

The one that is true is <em>c: two complex solutions</em>.

__

The discriminant of quadratic ax^2 +bx +c = 0 is ...

d = b^2 -4ac

For this quadratic, the value is 6^2 -4·5·2 = -4.

When the discriminant is positive, there are two distinct real solutions.

When the discriminant is zero, there is one real solution.

When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.

3 0

2 years ago

The time a randomly selected individual waits for an elevator in an office building has a uniform distribution with a mean of 0.

Amiraneli [1.4K]

Answer:

The mean of the sampling distribution of means for SRS of size 50 is $\mu = 0.5$ and the standard deviation is $s = 0.0409$

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size, of at least 30, can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 0.5, \sigma = 0.289$

What are the mean and standard deviation of the sampling distribution of means for SRS of size 50?

By the Central Limit Theorem

$\mu = 0.5, s = \frac{0.289}{\sqrt{50}} = 0.0409$

The mean of the sampling distribution of means for SRS of size 50 is $\mu = 0.5$ and the standard deviation is $s = 0.0409$

Does it matter that the underlying population distribution is not normal?

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

What is the probability a sample of 50 people will wait longer than 45 seconds for an elevator?

We have to use 45 seconds as minutes, since the mean and the standard deviation are in minutes.

Each minute has 60 seconds.

So 45 seconds is 45/60 = 0.75 min.

This probability is 1 subtracted by the pvalue of Z when X = 0.75. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$