A water tank is a cube of side 2m the depth of water in it is60cm. What is the volume of water in the tank?
1 answer:
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Answer:
The correct answer is "664".
Step-by-step explanation:
The given values are:
Margin of error,
E = 5%
i.e.,
= 0.05
Level of confidence,
C = 99%
i.e.,
= 0.99
Level of significance,
α = 0.01
From the z value table,
Critical z = 2.576
As we know,
The required sample size n will be:
=
On substituting the values, we get
=
=
=
=
i.e.,
=
9514 1404 393
Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4
