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3 years ago

Write the simplified answer.

Mathematics

1 answer:

Andrej [43]3 years ago

4 0

Answer:

Simplified form of: $(4x^2+x-6)(-6x-1)$ is $\mathbf{-24x^3-10x^2+35x+6}$

Step-by-step explanation:

We need to write the simplified answer of: $(4x^2+x-6)(-6x-1)$

We are multiplying both terms.

First -6x is multiplied with $(4x^2+x-6)$ and then -1 is multiplied with $(4x^2+x-6)$

Looking at the table, we now just have to add the like terms to find the result.

$-6x(4x^2+x-6)-1(4x^2+x-6)\\=-24x^3-6x^2+36x-4x^2-x+6\\Now\:combining\:like\:terms:\\=-24x^3-6x^2-4x^2+36x-x+6\\=-24x^3-10x^2+35x+6$

So, simplified form of: $(4x^2+x-6)(-6x-1)$ is $\mathbf{-24x^3-10x^2+35x+6}$

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Answer:

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Step-by-step explanation:

If you mean the equation with zeroes of 3 and -5 it is:

(x - 3)(x + 5) = 0

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A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings. It

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Answer:

A. As we are trying to test if the two processes yield different average errors, we are interested in any of the two posibilities: the average error of process A being statistically significant lower or bigger than the average error of Process B. That is why this is a two-tailed test.

B. t=-3.144

C. The critical value for a significance level of 0.05, a two tailed test with 4 degrees of freedom is t=±2.064.

D. P-value = 0.004

E. Reject H0

F. The probability of making a Type I error is equal to the significance level: P(Type I error) = 0.05.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the two processes yield different average errors.

As we are trying to test if the two processes yield different average errors, we are interested in any of the two posibilities: the average error of process A being statistically significant lower or bigger than the average error of Process B. That is why this is a two-tailed test.

Then, the null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0$

being μ1: average error for Process A and μ2: average error fo Process B.

The significance level is 0.05.

The sample 1, of size n1=12 has a mean of 2 and a standard deviation of 1.

The sample 1, of size n1=14 has a mean of 3 and a standard deviation of 0.5.

The difference between sample means is Md=-1.

$M_d=M_1-M_2=2-3=-1$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1^2}{12}+\dfrac{0.5^2}{14}}\\\\\\s_{M_d}=\sqrt{0.083+0.018}=\sqrt{0.101}=0.318$

Then, we can calculate the t-statistic as:

$t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-1-0}{0.318}=\dfrac{-1}{0.318}=-3.144$

The degrees of freedom for this test are:

$df=n_1+n_2-1=12+14-2=24$

The critical value for a significance level of 0.05, a two tailed test with 4 degrees of freedom is t=±2.064.

This test is a two-tailed test, with 24 degrees of freedom and t=-3.144, so the P-value for this test is calculated as (using a t-table):

$P-value=2\cdot P(t$

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

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Answer:

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Step-by-step explanation:

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Hey there,

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~Apply the infinity property to every side but the middle

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So... $\lim_{n \to \infty} (\frac{cos~x}{x})=0$

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