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Mathematics

1 answer:

azamat2 years ago

8 0

Answer: 5x^2 + 3x + 1

Step-by-step explanation:

1.) Put the two equations together into an addition problem.

3x^2 + 4x + 2x^2 - x + 1

2.) Combine like terms.

3x^2 + 2x^2 = 5x^2

4x - x = 3x

1 = 1

3.) Order the like terms together.

5x^2 + 3x + 1

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3.Construct a line perpendicular to the line given through the point P at the right

Rudik [331]

Answer:

Step-by-step explanation:

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2 years ago

Describe the pattern below 3 6.5 11 16.5 23

ipn [44]

6.5 - 3 = 3.5
11 - 6.5 = 4.5
16.5 - 11 = 5.5
23 - 16.5 = 6.5

From this, you can see that the number being added is increasing by 1 each time.

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In analyzing the city and highway fuel efficiencies of many cars and trucks, the mean difference in fuel efficiencies for the 60

Olegator [25]

Answer:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

Step-by-step explanation:

Data provided

$\bar X=7.38$ represent the sample mean for the fuel efficiencies

$\mu$ population mean

s=2.51 represent the sample standard deviation

n=601 represent the sample size

Confidence interval

The formula for the confidence interval of the true mean is given by:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom for this case is given by:

$df=n-1=601-1=600$

The Confidence level for this case is 0.95 or 95%, and the significance level $\alpha=0.05$ and $\alpha/2 =0.025$ and the critical value is given by $t_{\alpha/2}=1.96$