The area of the triangle
1 answer:
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Answer:
The width of the tank is <u>5 feet</u>.
Step-by-step explanation:
Given:
A tank's length is 3 feet longer than its width.
The height is 1 foot less than the width.
The volume of the tank is 160 cubic feet.
Now, to find the width of the tank.
Let the width of the tank be
So, length is
And, height is
The volume of tank = 160 cubic feet.
Now, to get the width we put formula:
Volume = length × width × height.
<em>Subtracting both sides by 160 we get</em>:
Now, on solving the equation we get:
The width = 5 feet.
Therefore, the width of the tank is 5 feet.
Answer:
The percentage that of people who gave the movie a rating between 6.8 and 8.8
<em>P(6.8≤X≤8.8) = 83.9≅ 84 percentage</em>
Step-by-step explanation:
<u> Step(i):-</u>
Mean of the Population = 8.3 points
Standard deviation of the Population = 0.5 points
Let 'X' be the random variable in normal distribution
<em>Let X = 6.8</em>
Let X = 8.8
The probability that of people who gave the movie a rating between 6.8 and 8.8
<em>P(6.8≤X≤8.8) = P(-3≤Z≤1)</em>
= P(Z≤1)- P(Z≤-3)
= 0.5 + A(1) - ( 0.5 -A(-3))
= A(1) + A(3) (∵A(-3)=A(3)
= 0.3413 +0.4986 (∵ From Normal table)
= 0.8399
<u><em>Conclusion:-</em></u>
The percentage that of people who gave the movie a rating between 6.8 and 8.8
<em>P(6.8≤X≤8.8) = 83.9≅ 84 percentage</em>