The probability is 0.8997.
We will use a z-score to answer this question. z-scores are given by the formula
With our information, we have
Looking this up in a z-table (http://www.z-table.com) we see that the area to the left of this (everything less than, up to this value) is 0.8997.
Answer: 1.1 Nm
Step-by-step explanation:
The formula for torque is T = r · F · sin θ
where θ = π/6, r = 20 cm = 0.2 m, F = 11 N
formula for converting radians to degrees is 1 rad × 180/π = 57.296°
θ = π/6 · 180/π = 30°
Substituting r into the formula for torque, we have
T = 0.2 x 11 x sin 30° = 0.2 x 11 x 0.5
T = 1.1 Nm
Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
C is the answer to your question
