Find the value of x.
2 answers:
Answer: The value of x is 10 units.
Step-by-step explanation: We are given to find the value of x from the figure shown.
We can see in the figure a right-angled triangle where
one of the acute angle has measure 30°, the perpendicular associated with this acute angle is of length 5 units and the hypotenuse is of length x units.
We are to find the value of x.
Applying the ratio for sine of an acute angle in the given right-angled triangle, we have
Thus, the value of x is 10 units.
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(1)
Mean length of all fish in the sample -
<u>Mean</u> = (Sum of observations)/(Number of observations)
= (12 + 5 + 3 + 5 + 8 + 2 + 10 + 9 + 4 + 4)/(10)
= 62/10
=<em> 6.2</em>
(2)
Mean length of adult fish in the sample -
<u>Mean</u> = (Sum of observations)/(Number of observations)
= (12 + 5 + 8 + 10)/(4)
= 35/4
=<em> 8.75</em>
(3)
Mean length of juvenile fish in the sample -
<u>Mean</u> = (Sum of observations)/(Number of observations)
= (5 + 3 + 2 + 9 + 4 + 4)/(6)
= 27/6
<em>= 4.5</em>
(4)
Percentage of sample that were adult fish -
<u>Percentage</u> = (No. of adult fishes)/(Total no. of fishes) × 100
% = (4/10) × 100
<em>% = 40</em>
(5)
Percentage of sample that were juvenile fish -
<u>Percentage</u> = (No. of juvenile fishes)/(Total no. of fishes) × 100
% = (6/10) × 100
<em>% = </em><em>6</em><em>0</em>
(6)
Percentage of sample that were juveniles over 8 inches long -
<u>Percentage</u> = (No. of juveniles over 8 inches)/(Total no. of fishes) × 100
% = (1/10) × 100
<em>% = </em><em>1</em><em>0</em>
Answer:
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Step-by-step explanation:
From the question we are told that:
Price of 20TVs per week
Marginal price-demand function
Generally the The Marginal price function is mathematically given by
Therefore the equation when the demand is 20 TVs per week at $150 per TV
Giving
Therefore the Price when the demand is 100 TVs per week