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BlackZzzverrR [31]
3 years ago
11

The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number

Mathematics
1 answer:
Fynjy0 [20]3 years ago
5 0

Answer:

Step-by-step explanation:

If the smallest number is 'x', then the other number = x +1

x*(x+1)= 420

Use distributive property

x*x + x*1 = 420

x² + x - 420 =0   ------> this is the required quadratic equation.

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Q6: 24 students in a class took an algebra test.
german

Answer:

25%

Step-by-step explanation:

18/24 passed that reduces 3/4.

So 1/4 didn't pass

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3 years ago
Solve the following system of equations<br><br> 2x+y=11 and -x+2y=2
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{2x+y=11
{-x+2y=2  //*2

{2x+y=11
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x=4; y=3
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What is the answer to 3a+5-x+7x-2a
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Answer:

The third answer

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Read 2 more answers
Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choic
Semenov [28]

Answer:

Option <em>B</em> is not the most common correct choice.

Step-by-step explanation:

The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.

The probability that any of these five option is the correct answer is:

p=\frac{1}{5}=0.20

A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.

The results showed that 90 of the 400 questions having B as the answer.

To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:

<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.

Compute the sample proportion as follows:

\hat p=\frac{90}{400}=0.225

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.225-0.20}{\sqrt{\frac{0.20(1-0.20)}{400}}}= 1.25

The test statistic is 1.25.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value as follows:

p-value=P(Z>1.25)\\=1-P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.1057.

The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.

Hence, it can be concluded that option <em>B</em> is not  the most common correct choice.

7 0
2 years ago
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