The correct answer is Choice B: 0.3098.
To find the answer, you have to use a normal distribution table. Look up the percents for each z-score and subtract them to find the region between.
z = 1.92 the percent is 0.9726
z = 0.42 the percent is 0.6628
0.9726 - 0.6628 = 0.3098
Answer:
3x
Step-by-step explanation:
8. Similar parts
Choice a
9. The Law of Sines says a:b:c and 
are the same ratio.
The sines will go in order for acute angles, we have to convert 120 to its supplement 60 and then the order is 29,31,"60" or opposite sides JK, KL, JL
choice b
10.
DEF and FEG are supplments, FEG=180-DEF=180-114=66
DEF and HEG are opposite angles, so congruent HEG=DEF=114
chioce a
Answer:
-24x^7
Step-by-step explanation:
Note that (-2)^3 = -8, and so:
(-2 x^2 )^ 3 ·3 x = -8*x^6 * 3*x, or -24x^7
Answer:
200√3
Step-by-step explanation:
The triangle given here is a special right triangle, one with angles measuring 30-60-90 degrees. The rule for triangles like these are that the side opposite the 30° angle can be considered x, and the side opposite the 60° angle is x√3, while the hypotenuse, or side opposite the right angle, is 2x. All we need to know here are the two legs to find the area.
Since b is opposite the 30° angle, it is x, while side RS is opposite the 60° angle, meaning it is equal to x√3, meaning that the area of the triangle is 1/2*x*x√3. We can substitute in 20 for x, making our area 1/2*20*20√3. Multiplying we get 10*20√3, or 200√3.
