Solve the following compound inequality: x>= -1 or x<2

I need to know the slope of the line given the two points

Karo-lina-s [1.5K]

Slope=(y2-y1)/(x2-x1)
=(4-7)/(2--3)
=3/5

7 0

3 years ago

Integrated circuits consist of electric channels that are etched onto silicon wafers. A certain proportion of circuits are defec

boyakko [2]

Answer:

$z=\frac{0.033 -0.05}{\sqrt{\frac{0.05(1-0.05)}{1000}}}=-2.467$

$p_v =P(Z>-2.467)=0.0068$

So the p value obtained was a very low value and using the significance level assumed for example $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of circuits that show evidence of undercutting is significantly less than 0.05.

Step-by-step explanation:

1) Data given and notation

n=1000 represent the random sample taken

X=33 represent the number of circuits that show evidence of undercutting

$\hat p=\frac{33}{1000}=0.033$ estimated proportion of circuits that show evidence of undercutting

$p_o=0.05$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that they reduce the rate of undercutting to less than 5%.:

Null hypothesis: $p\geq 0.05$

Alternative hypothesis: $p < 0.05$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.033 -0.05}{\sqrt{\frac{0.05(1-0.05)}{1000}}}=-2.467$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(Z>-2.467)=0.0068$

So the p value obtained was a very low value and using the significance level assumed for example $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of circuits that show evidence of undercutting is significantly less than 0.05.

4 0

3 years ago

(GIVING BRAINLIEST!!!)

Blizzard [7]

Answer:

B) $\displaystyle \frac{1}{16}$

Step-by-step explanation:

$\displaystyle \frac{1}{16} = \frac{\frac{1}{8}}{2} \\ \\ OR \\ \\ \frac{1}{8} \div 2 = \frac{1}{8} \times \frac{1}{2} = \frac{1}{16}$

I am joyous to assist you at any time.

6 0

4 years ago

The value of x is: xo 20° 300 20° 30°. 0000 50°. 60°

AysviL [449]

Answer:

x = 50°

Step-by-step explanation:

x + 20° + 30° = 180°

x = 180° - 20° - 30°

x = 130° (This one is other x)

x + 130° = 180°

x = 180° - 130°

x = 50°

5 0

3 years ago

WILL MARK BRAINLIST please help me ive done this like 9 times and i cant figure this out

kari74 [83]

Answer:

30

1.301

Step-by-step explanation

f(x) and g(x) are inverse functions. Note that the logrithmic notation for $f(x) = y = b^{x} \\ is\\ log y_{b} = x$

So, when x = 1.477, f(x) = y = 30

and when x = 20, g(x) = y = 1.301

6 0

3 years ago