The area enclosed by the given 2 curves is; 8/3 or 2.67
<h3>How to Solve Integration with Limits?</h3>
We want to find the area enclosed by the curves;
y = x² - 2x
y = -x² + 2x
The point of intersection of the parabola and the line is given by;
x² - 2x = -x² + 2x
2x² - 4x = 0
Solving this gives;
x = 0, 2
Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;
A = ∫₀² (-x² + 2x - x² + 2x)
A = ∫₀² (-2x² + 4x)
Using online integration calculator here gives;
A = 2.67
Read more about Integration at; brainly.com/question/14388434
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Y α xz
y = kxz y = 72, when x = 6, and z = 4
72 = k*6*4
72 = k*24
24k = 72
k = 72/24
k = 3.
<span>y = kxz
</span>
<span>y = 3xz </span>
Finding y, when x = 3, z = 5.
y = 3xz
y = 3*3*5
y = 45
Answer:
The answer to the question is
30 minutes
Step-by-step explanation:
To solve the question we recall the following
Duration of game = 50 minutes
Number of players per game = 12
Number of reserves = 8
Total number of players = 8 + 12 = 20
Therefore 12 players play for 50 minutes
Therefore 20 players will play for
minutes each or 30 minutes each
Each player will have a thirty minutes turn to play on the fleld
Answer:
H0 : mu1 = mu2
Ha : mu1 ≠ mu2
Which means
Null hypothesis H0; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is the same/equal
Alternative hypothesis Ha; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is different (not equal)
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean(i.e it tries to prove that the old theory is true). While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
Therefore, for the case above;
H0 : mu1 = mu2
Ha : mu1 ≠ mu2
Which means
Null hypothesis H0; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is the same/equal
Alternative hypothesis Ha; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is different (not equal)
Answer:
|5x+2|-3 = -3 the absolute value of -3=3
Step-by-step explanation: