Answer: If the quadratic equation has real, rational solutions, the quickest way to solve it is often to factorise into the form (px + q)(mx + n), where m, n, p and q are integers. This is especially true where the coefficient of x2 is 1.

Example 1 - Solve x2+7x+12=0

Step-by-step explanation:

that's the only one I remember

8 0

2 years ago

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The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 . A dotplot s

Ilya [14]

Answer:

The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

Step-by-step explanation:

Consider the provided information.

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .

Thus, n = 12, $\bar x=36800$ σ = 5000

degrees of freedom = n-1 = 12-1 = 11

$H_0: \mu = 33700\ and\ H_a: \mu \neq 33700$

Formula to find the value of z is: $z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}$

Where $\bar x$ is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.

$z=\frac{36800-33700}{\frac{5000}{\sqrt{12}}}$

$z=2.148$

Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

6 0

3 years ago

Determine whether each statement is true or false. If false, give a counterexample.

bezimeni [28]

This statement is true, or else you wouldn't have a sphere.

7 0

2 years ago