Answer:
42 - 24n
Step-by-step explanation:
(7-4n) 6
Distribute
7*6 - 4n*6
42 - 24n
Answer:
18.0
Step-by-step explanation:
==>Given:
Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°
==>Required:
Value of x to the nearest tenth
==>Solution:
Using the Cosine rule: c² = a² + b² - 2abcos(C)
Let c = x,
a = 16
b = 30
C = 30°
Thus,
c² = 16² + 30² - 2*16*30*cos 30°
c² = 256 + 900 - 960 * 0.8660
c² = 1,156 - 831.36
c² = 324.64
c = √324.64
c = 18.017769
x ≈ 18.0 (rounded to nearest tenth)
Pemdas 1. parentheses: everything is already in parentheses. so next is exponents. 10×-2 is -20. and 10×6 is 60. so 4×-20 is the next step. it equals -80. and then 3×60 is 180. lastly,add -80 and 180 together. the answer should be 100 if i did that correctly.
About 32.34% of the values do not lie between the z-scores of -1.3 and 0.75.
First, we need to find the region between the z-scores.
If you look at a normal distribution table, you will get the following values:
0.75 = 77.34%
-1.3 = 9.68%
Subtraction those gives us the area between the z-scores.
77.34 - 9.68 = 67.66%
Now, just subtract that value from 100% to get the amount outside of the area.
100 - 67.66 = 32.34%