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Vesnalui [34]
3 years ago
7

Adnan states if cos30°≈0.866, then sin30°≈0.866.

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer:

Adnan is incorrect because cosx and sin(90 - x) are always equivalent in any right triangle ⇒ first answer

Step-by-step explanation:

In any right triangle there are two acute angles sum of them is 90°

∴ If one of them x°, then the other is (90 - x)°

∵ cos x = adjacent/hypotenuse

∵ sin(90 - x) = opposite/hypotenuse

∵ The opposite of ∠(90 - x) is the adjacent of ∠x

∴ cosx = sin(90 - x)

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Suppose that a market research firm is hired to estimate the percent of adults living in a large city who have cell phones. 500
Alborosie

Answer:

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

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:

n = 500, \pi = \frac{421}{500} = 0.842

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 lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 - 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.81

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 + 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.874

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

6 0
3 years ago
What is the slope of the line that passes through the points (4,10) and (1,10) in simplest form​
GuDViN [60]

Answer:

0

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

   = (10-10)/(1-4)

   = 0/-3

  =0

7 0
3 years ago
Find the measure of angle X in the triangle below.
daser333 [38]
Use the Law of Sines to solve.

24/Sin 67.38 = 26/Sin X
Cross multiply
26Sin 67.38 = 24SinX
Divide both sides by 24
(26Sin67.38)/24 = Sin X
Use Sin^-1 to find the angle measure.
Sin^-1 [(26Sin67.38)/24]
x = 89.92 degrees

5 0
3 years ago
On a hiking trip LaShana notes that she hiked about 12 kilometers every 4 hours. If she continues at this rate' how many kilomet
scoray [572]

Answer:

18 Kilometers

Step-by-step explanation:

If you divide 12 by 4 you get 3, so she is going about 3 kilometers an hour. Add 3 for each hour, and you get 18 kilometers in 6 hours.

8 0
2 years ago
Care to help please!!
makkiz [27]

Answer:

M= the slope or the gradient

B= the y-intercept

y= the output value

x= the input value

Step-by-step explanation:

5 0
3 years ago
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