95% confidence interval = 62.6 + or - 1.96 x 10.4/sqrt(60) = 62.6 + or - 1.96 x 1.343 = 62.6 + or - 2.63.
Therefore, there is a 95% chance that the population mean would lie between 59.91 liters and 65.29 liters.
The angle x has a measure of 110 degrees
<h3>How to determine the value of x?</h3>
From the question, we have the triangle shape that can be used in our computation:
On the triangle, the external angles are
x, 140 and 110
These angles are on the same straight line with their corresponding internal angles
By the angle on a straight line theorem, we have the internal angles to be
180 - x, 180 - 140 and 180 - 110
The sum of these angles is 180
So, we have
180 - x + 180 - 140 + 180 - 110 = 180
Evaluate
x = 110
Hence, the value of x is 110 degrees
Read more about angles at
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You'll need to use pythagoras for this one. we know the distance between the 2 points is 5 (hypotenuse) and that the distance between the x coordinates is 4. to find the distance between the vertical parts of the coordinates we need to do 5^2-4^2 which is 9 and the square root of this is 3. We now know that the vertical distance between the two points is 3, so our y coordinate could be 0 or 6.
Hey there! :)
Answer:
f(-2) = -148.
Step-by-step explanation:
To calculate f(-2), simplify substitute -2 for x in the equation. Therefore:
f(x) = 4x³ -12x² + 40x + 12
Becomes:
f(-2) = 4(-2)³ - 12(-2)² + 40(-2) + 12
Simplify:
f(-2) = 4(-8) - 12(4) - 80 + 12
f(-2) = -32 - 48 -80 + 12
Finally, you get:
f(-2) = -148.
X<6 for the solution of it
