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3 years ago

Rewrite the equation by completing the square 4x^2 +28x +49=0

Mathematics

1 answer:

Elodia [21]3 years ago

5 0

Answer: −3.5

Step-by-step explanation:

Standard form:

4x2 + 28x + 49 = 0

Factorization:

(2x + 7)2 = 0

Answer equation: 2x + 7 = 0 ⇒ x1 = x2 = −7 over 2 = −3.5

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Pls help math esperts

MaRussiya [10]

Answer:

Jackson spent $4.25 on his lunch

Step-by-step explanation:

because $6.50- $2.25 is $4.25

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3 years ago

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28x4 disruptive property

Degger [83]

112 is the answer to your question

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3 years ago

Which angle is NOT congruent to <4

lions [1.4K]

Hi! Can you try sending a picture of the figure that this is referring to, so I can try answering the question?

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3 years ago

A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur

Paraphin [41]

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

2 years ago

Pls help w these thx <33

stepladder [879]

Answer:

36.81233927

13.02532494

Step-by-step explanation:

You need to use the law of sine for both of them

the law of sine is as follows:

$\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}$

Question 1:

$\frac{15}{\sin(64)}=\frac{10}{\sin(y)}\\y=36.81233927$

Question 2:

Let x= AB

Start by solving for the missing angle, 53

$\frac{8.4}{\sin(31)}=\frac{x}{\sin(53)}$

x= 13.02532494

I will leave you to round the answers

7 0

3 years ago