Answer:
The answer to your question is 1 = 69°
Step-by-step explanation:
To solve this problem remember that the sum of the internal angles in a triangle equals 180°.
Let the third angle of the triangle be x.
39° + 30° + x = 180
Solve for x
x = 180 - 39 - 30
x = 111°
Angle x and angle 1 are supplementary so their sum equals 180°.
111° + 1 = 180
1 = 180 - 111
1 = 69°
Answer:
The z score for bolt of diameter 18.12 mm is 1.20.
Step-by-step explanation:
Let <em>X</em> = diameter of bolts.
It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.
A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.
The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

The formula to compute the <em>z</em>-score is:

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.
Compute the <em>z</em>-score for this value as follows:

Thus, the z score for bolt of diameter 18.12 mm is 1.20.
The area of the circle is <span>112.98 m squared</span>
Answer:
469 iPads were donated.
Step-by-step explanation:
The school purchased 396 iPads in total: 300+96
Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469
Answer:
1) 88:100=44:50=22:25 (simplest answer)
2) 12:88=3:22 (simplest answer)