Answer: the average distance between the parabola is 2000
Step-by-step explanation:
Given that;
y = 30x(20 - x) and the x-axis on the interval [0, 20]
f(x) = y = 30x(20 - x); [0, 20] and a=0, b=20
the average distance between the parabola will be
Average value = 1/20-0 ²⁰∫₀ 30x(20-x) dx
= 1/20 ²⁰∫₀ (600x-30x²) dx
= 1/20 [(600x)/2 - (30x³)/3]₀²⁰
= 1/20 [300x - 10x³]₀²⁰
inputting the limits, we get
= 1/20 [(300 × 20 × 20 - 10 × 20 × 20 × 20) - 0 - 0]
= 1/20 ( 120000 - 80000)
= 0.05 × 40000
<h2>= 2000</h2>
Therefore the average distance between the parabola is 2000
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Answer:
21/25
Step-by-step explanation:
First we need to find the probability of getting a candy that is green
P(green) = green/total
= 8/50
= 4/25
We know that
P ( not green) = 1 -P(green)
because these are the only two events that can happen
Either the candy is green or it is not green.
P ( not green) = 1 - 4/25
= 25/25 - 4/25
= 21/25
You use the equation Final Velocity²= (Initial Velocity)² 2(Acceleration)(Distance). You plug in what you have 0²=22.4² X 2(-3.5)(D) and solve for D which is 71.68m or about 72m.
Answer:
5.47% of the total variation between the two variables can be explained by the regression line.
Step-by-step explanation:
Given :
R value = 0.234
The R value is the correlation Coefficient ; which gives the type and level of correlation between two variables.
However, to Obtian the percentage variation which can be explained by by the regression line, we have to obtain the Coefficient of determination, R².
R² value is Obtained by taking the squared of the correlation Coefficient
Hence,
R² = 0.234² = 0.054756
R² = 0.05476 * 100% = 5.4756%
Hence, R² = 5.48%
This is interpreted as ; 5.47% of the total variation between the two variables can be explained by the regression line.
Answer:
yes my answer is yes kind sir
