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Dennis_Churaev [7]
3 years ago
6

(10x2 - 6x + 8)(2x + 2)

Mathematics
2 answers:
yawa3891 [41]3 years ago
8 0
I have one question. The 2 next to the 10x. What does that represent? Is it 10x multiplied by 2 and then the rest of the equation?
SSSSS [86.1K]3 years ago
8 0
   your answer is 20x³+8x²+4x+16  

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A triangle has 2 sides that are 9 inches and the bottom is 6 inches what is the height?
Elanso [62]

The height of the isosceles triangle is 8.49 inches.

<h3>How to find the height of the triangle?</h3>

Here we have a triangle such that two of the sides measure 9 inches, and the base measures 6 inches.

So this is an isosceles triangle.

We can divide the isosceles triangle into two smaller right triangles, such that the side that measures 9 inches is the hypotenuse, the base is 3 inches, and the height of the isosceles triangle is the other cathetus.

By Pythagorean's theorem, we can write:

(9in)^2 = (3 in)^2 + h^2

Where h is the height that we are trying to find.

Solving that for h we get:

h = √( (9 in)^2 - (3in)^2) = 8.49 inches.

We conclude that the height of the isosceles triangle is 8.49 inches.

If you want to learn more about triangles:

brainly.com/question/2217700

#SPJ1

8 0
2 years ago
Find m∠Y if m∠Y is six more than three times its supplement.
Svetlanka [38]
To answer this item, we let x be the measure of angle Y. If we say supplement, it is understood that when we sum up the measures of the two angles (angle Y and its supplement) the answer should be 180. Therefore the other angle is 180-x. Going back to the condition given in this item, we will be able to generate an equation,
                                         x = 3(180 - x)
The value of x from the equation is 135. Thus, m∠Y is 135°.
3 0
2 years ago
Read 2 more answers
PLS HELP ME I NEED ANSWER FAST
vaieri [72.5K]

Answer:

it is a.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A sample of 1200 computer chips revealed that 45% of the chips fail in the first 1000 hours of their use. The company's promotio
yaroslaw [1]

Answer:

z=\frac{0.45 -0.48}{\sqrt{\frac{0.48(1-0.48)}{1200}}}=-2.08

p_v = P(Z

So the p value obtained was a low value and using the significance level given \alpha=0.05 we see that 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 chips that fail in the first 1000 hours of their use is not significantly less than 0.48.   

Step-by-step explanation:

Data given and notation

n=1200 represent the random sample taken

\hat p=0.45 estimated proportion of chips that fail in the first 1000 hours of their use

\mu_0 =0.48 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion si less then 0.48:  

Null hypothesis:p\geq 0.48  

Alternative hypothesis:p < 0.48  

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  is significantly different from a hypothesized value .

Calculate the statistic  

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

z=\frac{0.45 -0.48}{\sqrt{\frac{0.48(1-0.48)}{1200}}}=-2.08

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 significance level provided \alpha=0.05. 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

So the p value obtained was a low value and using the significance level given \alpha=0.05 we see that 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 chips that fail in the first 1000 hours of their use is not significantly less than 0.48.  

6 0
3 years ago
A study of 35 golfers showed that their average score on a particular course was 92. The sample standard deviation was 5. We wan
svlad2 [7]

Answer:

t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322

Step-by-step explanation:

We have a sample of size n = 35, \bar{x} = 92 and s = 5. As we want to construct a 95% confidence interval to estimate the value of the true population mean \mu, we should use the pivotal quantity given by T = \frac{\bar{X}-\mu}{S/\sqrt{n}} which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322, i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that P(-2.0322\leq T\leq 2.0322) = 0.95 because of the simmetry of the t distribution.

7 0
2 years ago
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