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DENIUS [597]
3 years ago
14

Hey all!

Mathematics
1 answer:
Rainbow [258]3 years ago
8 0

Answer:

  • 65°

Step-by-step explanation:

<u>Use the law of cosines:</u>

  • cos C = (25² + 27² - 28²)/(2*25*27)
  • cos C = 0.4222
  • m∠C = arccos 0.4222
  • m∠C = 65°
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Step-by-step explanation:

x - 2 = y 3

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Finding an Equation of a Tangent Line In Exercise, find an equation of the tangent line to the graph of the function at the give
Inga [223]

Answer:

y = 1/e

y = 0.37

Step-by-step explanation:

y = (ln x)/x; (e, 1/e)

Step 1

Find the point of tangency.

It's given as (e,1/e) or (2.72,0.37)

Step 2

Find the first derivative, and evaluate it at x=e

Using product rule.

d(uv) = udv + vdu

Where u = lnx and v = 1/x

du = 1/x , dv = -1/x^2

f'(x) = -lnx/x^2 +1/x^2

f'(x) = (1-lnx)/x^2

At x = e

f'(e) = (1-lne)/e^2

f'(e) = 0

The slope of the tangent line at this point is m= 0

Step 3

Find the equation of the tangent line at (e,1/e) with a slope of m=0

y−y1 = m(x - x1)

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3 years ago
Select all the transformations that take rectangle abcd onto itself
Fittoniya [83]

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3 years ago
Suppose that the weights of the basketball players of a tournament are approximately normally distributed with a mean of 190lb a
Olegator [25]

Answer:

b. 2.5%

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 190, \sigma = 15

Which of the following is a good approximation of the probability that a randomly selected player weighs more than 220lb?

This is 1 subtracted by the pvalue of Z when X = 220. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{220 - 190}{15}

Z = 2

Z = 2 has a pvalue of 0.9772

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Close to 2.5%

So the correct answer is:

b. 2.5%

4 0
3 years ago
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