Every single one of those expressions factor. When factored, this is what we have:
. After canceling out like factors, what we are left with is this:
. That means that b = 9, c = 1, and d = -2
Answer:
38.5
Step-by-step explanation:
b^2= 29^2+20^2-2×20×29× Cos 102
b^2=841+400-1160 (-0.2079)
=1241- 241.164
b^2=1482.164
b= square root of 1482.164
AC = 38.5
Answer:
The answers are a. 0.27 b. 0.2 c. 0.2 d. 0.3 e. 0.3 f. 1
Step-by-step explanation:
Total output = 100% = 1
Total defective = 6% + 5% + 8% + 8% = 27% = 27
a. Prob of defective item = total defective/total output
= 27/100
= 0.27
b. Prob of defective from machine 1 = 6/27 =0.2222
~ 0.2
c. Prob of item defective from machine2 = 5/27 = 0.1852
~0.2
d. Prob of de defective from machine 3 = 8/27 = 0.2963
~0.3
e. Prob of defective from machine 4
= 8/27 = 0.2963
~ 0.3
f. Sum of prob from b-e
0.2 + 0.2 + 0.3 + 0.3
= 1
Answer:
480 inches squared
Step-by-step explanation:
The formula for the area of a rhombus is pq/2, where p and q are the diagonals. In the picture, half of a diagonal is 10 (which I am assuming 10 does not represent the whole diagonal), so all of the horizontal diagonal is 20.
Applying the Pythagorean Theorem to this, we get 10^2 + x^2 = 26^2. After simplifying, this becomes 100 + x^2 = 676, and therefore x = 24. Multiply this by 2 to get the full vertical diagonal, the area is simply 48*20/2 which is 480 inches squared.
