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3 years ago

Find the side labeled X in the picture, then round to 5 decimal places.

Mathematics

1 answer:

mafiozo [28]3 years ago

6 0

Answer:

$\displaystyle x=20.75585$

Step-by-step explanation:

Trigonometric Ratios

There are some trigonometric ratios that are defined in a right triangle. The given figure corresponds to a right triangle (with a 90° angle) and two measures are given: An angle of 34° and the length of a side that is opposite to the angle. We are required to find x, the adjacent side of the given angle.

The appropriate relation that we must use to find x is

$\displaystyle tan34^o=\frac{14}{x}$

Solving for x

$\displaystyle x=\frac{14}{tan34^o}$

$\boxed{\displaystyle x=20.75585}$

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Mai conducted an experiment by flipping a fair coin 200 times. The coin landed heads up 110 times. Which statement about

Nitella [24]

Answer:

B

Explanation:

Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

The empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

8 0

3 years ago

Read 2 more answers

Use the given information to find the minimum sample size required to estimate an unknown population mean μ.

larisa86 [58]

Answer:

The number of business students that must be randomly selected to estimate the mean monthly earnings of business students at one college is 64.

Step-by-step explanation:

The (1 - α) % confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE= z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

The information provided is:

σ = $569

MOE = $140

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE= z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE}]^{2}$

$=[\frac{1.96\times 569}{140}]^{2}\\\\=63.457156\\\\\approx 64$

Thus, the number of business students that must be randomly selected to estimate the mean monthly earnings of business students at one college is 64.

4 0

4 years ago

What is the answer please ?

bagirrra123 [75]

plz reply for further explanation

3 0

3 years ago

Find the function value of cos^2 (7pi/8)

Kamila [148]

$\cos^2\dfrac{7\pi}8=\dfrac12\left(1+\cos\dfrac{7\pi}4\right)$
$=\dfrac12+\dfrac12\cos\left(-\dfrac\pi4\right)$
$=\dfrac12+\dfrac12\cos\dfrac\pi4$
$=\dfrac12+\dfrac1{2\sqrt2}$
$=\dfrac{\sqrt2+1}{2\sqrt2}$
$=\dfrac{2+\sqrt2}4$

7 0

3 years ago

Which of the following numbers is closest to 4? A. V13 B. √18 C. √15 D. √19

vovikov84 [41]

Answer: C $\sqrt 15$

Step-by-step explanation:

4 0

1 year ago