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4 years ago

What are the zeros of the function y=2x^2+5x+2

Mathematics

1 answer:

kherson [118]4 years ago

7 0

$y=2x^2+5x+2\\\\2x^2+5x+2=0\\\\2x^2+4x+x+2=0\\\\2x(x+2)+1(x+2)=0\\\\(x+2)(2x+1)=0\iff x+2=0\ \vee\ 2x+1=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\\\\boxed{x=-2}\\\\2x+1=0\qquad\text{subtract 1 from both sides}\\\\2x=-1\qquad\text{divide both sides by 2}\\\\\boxed{x=-\dfrac{1}{2}}\\\\Answer:\ \boxed{C.\ x=-\dfrac{1}{2},\ x=-2}$

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The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distr

Tanya [424]

Complete Question

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test $H_o : p = 0.28$ vs $H a : p < 0.28$ when the sample has n 900 , and $\^ p = 0.216$ with $SE= 0.01$ . Find the value of the standardized z -test statistic. Round your answer to two decimal places.

Answer:

The value is $z = -6.40$

Step-by-step explanation:

Generally the standardized test statistics is mathematically represented as

$z = \frac{\^ p - p }{ SE }$

=> $z = \frac{0.216 - 0.28 }{ 0.01 }$

=> $z = -6.40$

4 0

3 years ago

What is the value of h?

algol [13]

The two angles shown are supplementary angles, meaning that there sum equals 180. Knowing this you can set up an equation and solve for h...

3h + 18 + 15h = 180

Combine like terms

18h + 18 = 180

Subtract 18 to both sides

18h + (18 -18) = 180 - 18

18h = 162

Isolate h by dividing 18 to both sides

18h/18 = 162 /18

h = 9

Hope this helped!

8 0

3 years ago

Read 2 more answers

Which value of y would make O P is parallel to L N?

alina1380 [7]

Answer:

36 units

If OP is parallel to LN then we have, Substituting the respective values we obtain, Therefore option D is correct, y=36 units make OP||LN.

6 0

3 years ago

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Valentin [98]

1) am
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5 0

3 years ago

Q 4.6: In a survey of 1,000 adults living in a big city, 540 participants said that they prefer to get news from the Internet, 3

Liono4ka [1.6K]

Answer:

<h2>Option E is correct.</h2>

Step-by-step explanation:

In a survey of 1,000 adults living in a big city, 540 participants said that they prefer to get news from the Internet, 330 prefer to watch news on TV, and 130 are rarely interested in the current news. We want to test if the proportion of people getting the news from the Internet is more than 50%. By generating the randomization distribution, we find that the p-value is 0.0057. Choose the correct statement interpreting the p-value.

A.If the proportion of people getting the news from the Internet is not equal to 0.5 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

B. If the proportion of people getting the news from the Internet is not equal to 0.54 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

C. If the proportion of people getting the news from the Internet is equal to 0.54 then there is a 0.0057 chance of seeing the sample proportion less extreme compared to the survey results. р

D. If the proportion of people getting the news from the Internet is equal to 0.54 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

E. If the proportion of people getting the news from the Internet is equal to 0.5 then there is a 0.0057 chance of seeing the sample proportion as extreme as the survey results.

The correct interpretation of P value will be:

if the proportion of people getting the news from internet is equal to 0.5 then there is a 0.0057 chance of seeing the sample proportion as extreme as survey results.

<h2>Option E is correct.</h2>

4 0

4 years ago