Graph the systems of equations.

Mathematics

1 answer:

Pepsi [2]3 years ago

3 0

Using a graphical tool we obtain that the solution of this system
(intersection between the lines)

is given by the point (x,y) = (2,4)

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Question 2 Not yet answered Points out of 2

nata0808 [166]

Answer:

Trapezoid

Step-by-step explanation:

perpendicular: They are perpendicular due to the fact they cross at right angles to each other. Another true instance of perpendicular lines we will see in nature is a football field. All four corners of a football field are perpendicular to every other.

In the trapezoid attached there aren't any perpendicular sides. A and B are both obtuse angles in this diagram, and C and D are both acute angles. However, now not all trapezoids appear like this. ... Definition B: A trapezoid is any quadrilateral with at the least one pair of parallel sides.

please mark me brainliest!

3 0

2 years ago

The quality control manager of a chemical company randomly sampled twenty 100-pound bags of fertilizer to estimate the variance

lisabon 2012 [21]

Answer:

The 95% confidence interval for the variance in the pounds of impurities would be $3.829 \leq \sigma^2 \leq 14.121$ .

Step-by-step explanation:

1) Data given and notation

$s^2 =6.62$ represent the sample variance

s=2.573 represent the sample standard deviation

$\bar x$ represent the sample mean

n=20 the sample size

Confidence=95% or 0.95

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical values.