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bagirrra123 [75]

3 years ago

11

(8b^3-6)/(2b-1) long division

1 answer:

irga5000 [103]3 years ago

6 0

8b^3 - 6
8b^3 - 4b^2 ===> 4b^2
_____________
4b^2 - 6
4b^2 - 2b ===> 2b
___________
2b - 6
2b - 1
__________ ===> 1
5

= 4b^2 + 2b + 1 + 5/(2b-1)

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Which of the following phrases translates to m - 7?

Sindrei [870]

m is an unknown number that is being decreased by 7.

OPTION A IS WRONG BECAUSE MATHEMATICALLY IT IS WRITTEN AS

$7 - m$

B IS WRONG BECAUSE IT MEANS

$7 - m$

C IS WRONG BECAUSE IT MEANS

$7 - m$

BUT D IS THE ANSWER BECAUSE IT MEANS

$m - 7$

SINCE m IS TREATED AS AN UNKNOWN NUMBER.

GOODLUCK!!!!

6 0

1 year ago

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable

Annette [7]

Answer:

A=discrete; B=continuous

Step-by-step explanation:

(a) The number of free dash throw attempts before the first shot is = discrete

(b) The time it takes for a light bulb to burn out.=continuous

Discrete variables are countable in a finite amount of time such as the case of free dash throw attempts

Continuous Variables are more difficult to count. In statistics, time is a Continuous Variable

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3 years ago

6x+8y=5 and 3x+4y=-2

Feliz [49]

ANSWER If you solve for x you get -4/3 y+5/6 If you solve for y you get -3/4x +5/8.

Step-by-step explanation

and then the second answer is

If you solve for x you get-4/3y +-1/2

If you solve for y you get -3/4x +-1/2

3 0

2 years ago

3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

dlinn [17]

Answer:

a

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

The null hypothesis is rejected

b

The 99% confidence level is $13.3930 < \mu < 13.3994$

Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

$\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}$

=> $\= x = 13.3962$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

=> $\sigma =0.0039$

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }$

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

=> $z = 3.08$

Generally the p-value is mathematically represented as

$p-value = 2P( z > 3.08)$

From the z-table $P(z > 3.08)= 0.001035$

So

$p-value = 2* 0.001035$

$p-value = 0.00207$

So from the obtained value we see that

$p-value < \alpha$

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is 99% then the level of significance is

$\alpha = (100 -99)\%$

=> $\alpha = 0.01$

Generally from the normal distribution table critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 2.58 * \frac{0.0039}{\sqrt{10} }$

=> $E = 0.00318$

Generally the 99% confidence interval is mathematically represented as

$13.3962 - 0.00318 < \mu < 13.3962 + 0.00318$

=> $13.3930 < \mu < 13.3994$

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3 years ago

The crab nebula is a cloud of gas and dust particles in space that is expanding at a rate of 930 miles per second. What is its r

Flauer [41]

There are 3,600 seconds in one hour so if it expands at rate of 930 miles per second then 930 * 3600= 3,348,000 miles per hour

7 0

2 years ago