Write the compound inequality shown by the graph. 20. 2QHHH UNIT 4

Mathematics

1 answer:

belka [17]2 years ago

3 0

Answer:

x ≥ 9 and x < 5

Step-by-step explanation:

See the line graph of a compound inequality shown in the attached photo.

Inequality has two parts. The right-hand part is shown by an arrow that is more than 9 and including 9.

So, the equation of inequality for this part is x ≥ 9.

Again, the left-hand part of the inequality graph shows another arrow which is less than 5 but not including 5.

So, the equation of inequality for this part is x < 5

Therefore, compound inequality is x ≥ 9 and x < 5 (Answer)

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For an angle θ with the point (−5, −12) on its terminating side, what is the value of cosine?

viva [34]

Answer:

option C. $-\frac{5}{13}$

Step-by-step explanation:

we have that

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The value of the cosine is negative

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Find the value of the hypotenuse

$h^{2}=5^{2}+12^{2}\\ h^{2} =25+144\\ h^{2}=169\\h=13\ units$

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

Viefleur [7K]

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

$n = 1537, \pi = \frac{353}{1537} = 0.2297$