M = 9. Compare: 81 / M (more less same) 9.
1 answer:
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For the square with side length n, the diagonal measures:
The sidelength of the square is n, and we want to get the length of the diagonal d.
Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.
Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;
That is the length of the diagonal.
If you want to learn more about right triangles:
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Answer:
Point estimate for the population variance = 3.92 * .
Step-by-step explanation:
We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;
X X -
1.13 1.13 - 1.188 = -0.058 3.364 *
1.15 1.15 - 1.188 = -0.038 1.444 *
1.15 1.15 - 1.188 = -0.038 1.444 *
1.24 1.24 - 1.188 = 0.052 2.704 *
1.27 1.27 - 1.188 = 0.082 <u> 6.724 * </u><u> </u>
<u>= 0.01568 </u>
Firstly, Mean of above data, =
=
= 1.188
Point estimate of Population Variance = Sample variance
= =
= 3.92 *
.
Therefore, point estimate for the population variance = 3.92 * .
Answer:
x = 5.13 yards to the nearest tenth
Step-by-step explanation:
The diagram is redrawn and labelled in the attached photo.
It is labelled as triangle ABC. Angle A is determined to be 25 degrees. This is because it is alternate to 25 degrees at the top.
To find x, we will apply trigonometric ratio
Tan # =opposite side / adjacent side
Where # = 25 degrees
Opposite side = x
Adjacent side = 11
Tan 25 = x/11
x = 11tan25
x = 11× 0.4663
x = 5.1293 yards
x = 5.13 yards to the nearest tenth.
