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Nikitich [7]
3 years ago
12

Which choice shows the expression 4x2 + 13x + 9 in factored form?

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0

Answer:

4x²+13x+9

iwill give you good method to simplify this

firstable take the 4 from x² and multiply it by 9

x²+13x+36

we find this equation

so the values is 4 and 9 because 4+9=13

4×9=36

(x+ )×(x+ )

first we take 9 and devide it by 4

9/4 the four for the x and the nine is number

so its will be

(4x+9)×(x+ )

same thing with 4 devide by 4 so the value is 1

so its will be like this

(4x+9)×(x+1) and this is the answer hopefully you understand my explain with my English

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A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur
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Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

H_0: \mu = 16

At the alternative hypothesis, it is tested if the mean is different, hence:

H_1: \mu \neq 16

<h3>What is the test statistic?</h3>

The test statistic is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

In which:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the population.
  • n is the sample size.

The parameters for this problem are:

\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150.

Hence:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

3 0
1 year ago
Use the function f(x) to answer the questions.
frutty [35]

<u>Part A</u>

<u />-16x^2 + 60x+16=0\\\\4x^2 - 15x-4=0\\\\(4x+1)(x-4)=0\\\\x=-\frac{1}{4}, 4

<u>Part B</u>

The vertex of the graph will be a maximum because the leading coefficient is negative.

The x coordinate of the vertex is -\frac{60}{2(-16)}=\frac{15}{8}.

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So, the vertex has coordinates \left(\frac{15}{8}, \frac{289}{4} \right)

<u>Part C</u>

Plot the two x-intercepts and the vertex and then draw a curve in the shape of a parabola passing through them.

The graph is in the attached image.

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