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Andrej [43]
3 years ago
8

Please do it on a piece of paper if possible <3

Mathematics
1 answer:
sesenic [268]3 years ago
7 0
To find the area, we need the height of the triangle first. We already have the base.

Let's find the height (BA)
tan = opposite / adjacent

tan 35 = BA / 12
BA = 12 * tan35
BA = 12 * 0.7002079283708176
BA = 8.402


Area of the triangle = 12*BA/2 = 6*BA = 50.412 square units
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Step-by-step explanation:

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3 years ago
A caterer provides a conference banquet for a price of $40 per person for 20 or fewer people but will decrease the price by $1 p
mel-nik [20]

Answer:

The maximum revenue is $900, obtained with 30 people

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Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.

f(x) = x*(40-(x-20)) = -x²+60x

Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).

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7 0
3 years ago
A study of the impact of executive networking on firm performance measured firm performance as annual return on equity​ (ROE), r
vova2212 [387]

Answer:

The value of ROE that will be exceeded by 78​% of the firms is -1.77%.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

The mean ROE for the firms studied was 14.93​% and the standard deviation was 21.74​%. This means that \mu = 0.1493, \sigma = 0.2174

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This is the value of X when Z has a pvalue of 1-0.78 = 0.22.

This is Z = -0.77

So:

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

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X - 0.1493 = -0.77*0.2174

X = -0.0177

The value of ROE that will be exceeded by 78​% of the firms is -1.77%.

3 0
3 years ago
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