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3 years ago

3w squared-8w+4=0(solving quadartc equations by factoring)

2 answers:

3 0

$3w^2-8w+4=0\\\\3w^2-6w-2w+4=0\\\\3w(w-2)-2(w-2)=0\\\\(w-2)(3w-2)=0\\\\w-2=0\ \ \ or\ \ \ 3w-2=0\\\\w=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ w= \frac{2}{3}$

frozen [14]3 years ago

3 0

$3w^{2} - 8w + 4 \\ = 3w^{2} - 6w - 2w + 4 \\= 3w(w - 2) -2( w - 2) \\ = (3w - 2)(w - 2) \\ w = 2/3 , w = 2$

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A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o

Ronch [10]

Answer:

$2.002 \leq \sigma^2 \leq 11.365$

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

$s^2$ represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=9-1=8$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

$\chi^2_{\alpha/2}=15.507$

$\chi^2_{1- \alpha/2}=2.732$

And replacing into the formula for the interval we got:

$\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}$

$2.002 \leq \sigma^2 \leq 11.365$

7 0

3 years ago

give the most general solutions to equations. . 2sinxcosx-sin(2x)cos(2x)=0. . A. simplify the first expression using double angl

Zinaida [17]

2sinxcosx - sin(2x)cos(2x) = 0

Part I 
The double angle identity for sine states that sin(2x) = 2sinxcosx 
Thus we get: 
sin(2x) - sin(2x)cos(2x) = 0 

Part II 
sin(2x)(1 - cos(2x)) = 0 

Part III 
Either sin(2x) = 0 or 
1 - cos(2x) = 0 
=> cos(2x) = 1 

For sin(2x) = 0, this is true for 
2x = n(pi) where n = 0, 1, 2, .... 
x = n(pi/2) 

For cos(2x) = 1, this is true for 
2x = n(pi) where n = 0, 2, 4, .... 
x = n(pi/2)


I hope my answer has come to your help. Thank you for posting your question here in Brainly.

5 0

3 years ago

Graph f(x)=|x−2|+3 . Use the ray tool to graph the function.

maks197457 [2]

Answer:

The graph will be 2 units away from the origin on positive $x-axis$ and three units upward from the origin towards $y-axis$ .

Step-by-step explanation:

Here is a graph attached with it.

To graph $\left | x-2 \right |+3$ we know that positive $\left | x \right |$ is a $V$ shaped from the origin.

Key points:

To move rightward there must be a negative inside the parentheses.
And to move upward we must have positive $b = constant$ .

If we have to move towards $x-axis$ then we must have negative inside it.

And if we have to move upward in $y-axis$ positive we must have positive constant value.

So the graph will be three units upward and two units rightward with a V-shaped ray.

4 0

3 years ago

Write an equation. Then solve the problem. Arturo built 3 sandcastles with 6 towers each. Paco built 5 sandcastles with 4 towers

vlabodo [156]

To get the answer we have to find number of towers.
If Arturo built 3 sandcastles with 6 towers each we can say that Arturo built
3*6=18 towers
If Paco built 5 sandcastles with 4 towers each we can say that Paco built
5*4=20 towers
20-18=2 - difference between Paco and Arturo
Answer:Arturo made more towers. The difference is 2.

8 0

3 years ago

6 cakes cost £6.48 how much does one cost

sveta [45]

6.48 divide by 6 and u will get the answer

8 0

3 years ago