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2 years ago

12x^2-x-1 factor this

Mathematics

1 answer:

pishuonlain [190]2 years ago

5 0

(3x-1)(4x+1) pretty easy. 1,12 and 2,6 and 3,4 are the factors to consider

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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

BartSMP [9]

Answer:

The decision rule is

Reject the null hypothesis

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 5.6 \ pounds/inch^2$

The sample size is n = 160

The sample mean is $\= x = 5.7 \ pounds/ inch^2$

The variance is $\sigma ^2 = 0.25$

The level of significance is $\alpha = 0.01$

The null hypothesis is $H_o : \mu = 5.6$

The alternative hypothesis is $H_a : \mu > 5.6$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\sigma ^2 }$

=> $\sigma = \sqrt{0.25 }$

=> $\sigma = 0.5$

Generally the test statistics is mathematically represented as

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

=> $z = \frac{5.7 - 5.6 }{ \frac{0.5 }{\sqrt{ 160 } } }$

=> $z = 2.53$

From the z table the area under the normal curve to the left corresponding to 2.53 is

$p-value = P(Z > 2.53 ) =0.0057$

From the value obtained we see that the $p-value < \alpha$ hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that the believe that the valve performs above the specifications is true

5 0

2 years ago

Twenty-three thousand and four hundred six thousand in standard form

almond37 [142]

23,000 and 406,000 are these in standard form.

4 0

3 years ago

The n sequence question

MaRussiya [10]

Answer:

a) in order

-3;-2;-1

b) 6

1-4=-3

2-4=-2

3-4=-1

4-4=0

5-4=1

6-4=2

7-4=3

8-4=4

9-4=5

10-4=6

5 0

2 years ago

NEED HELP WITH THIS QUESTION ASAP

Rus_ich [418]

The answer is 126 degrees

7 0

2 years ago

Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per

eduard

Answer:

c) 6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation: $y=mx+b$

(where m is the slope and b is the y-intercept)

Maria's line: $y=-\dfrac{5}{6}x+8$

Therefore, the slope of Maria's line is $-\frac{5}{6}$

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

$\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}$

Therefore, the linear equation of Nate's line is:

$y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}$

Rearranging this to standard form:

$\implies y=\dfrac{6}{5}x+b$

$\implies 5y=6x+5b$

$\implies 6x-5y=-5b$

Therefore, <u>option c</u> could be an equation for Nate's line.

3 0

2 years ago