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Verdich [7]
3 years ago
9

What is the measure of angle KQL please help fast

Mathematics
1 answer:
klasskru [66]3 years ago
6 0
C. 42
Just find the angle of PQN because it’s the same angle as KQL. You can find the and by subtracting 85 and 53 from 180.
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Which of the following is most likely the next step in the series?
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A researcher wishes to estimate with 95% confidence, the proportion of the people who own a home computer. A previous study show
vitfil [10]

Answer:

The minimum sample size necessary is 2305.

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}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

\pi = 0.4

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The researcher wishes to be accurate within 2% of the true proportion. Find the minimum sample size necessary?

We need a sample size of n.

n is found when M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 1.96\sqrt{\frac{0.4*0.6}{n}}

0.02\sqrt{n} = 1.96*\sqrt{0.4*0.6}

\sqrt{n} = \frac{1.96*\sqrt{0.4*0.6}}{0.02}

(\sqrt{n})^{2} = (\frac{1.96*\sqrt{0.4*0.6}}{0.02})^{2}

n = 2304.96

Rounding up

The minimum sample size necessary is 2305.

8 0
3 years ago
Find the axis of symmetry for this parabola:
lara31 [8.8K]

Answer:

x = - 1

Step-by-step explanation:

The equation of the axis of symmetry for a parabola in standard form

y = ax² + bx + c : a ≠ 0 is found using

x = - \frac{b}{2a}

y = - x² - 2x - 5 ← is in standard form

with a = - 1 and b = - 2, thus equation of axis of symmetry is

x = - \frac{-2}{-2} = - 1

Equation of axis of symmetry is x = - 1

6 0
4 years ago
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