Answer:
value of a.b = -4
Step-by-step explanation:
We need to find a.b
a= 4i-4j
b = 4i+5j
We know that i.i =1, j.j=1, i.j =0 and j.i=0
a.b = (4i-4j).(4i+5j)
a.b = 4i(4i+5j)-4j(4i+5j)
a.b = 16i.i +20i.j-16j.i-20j.j
a.b = 16(1) +20(0)-16(0)-20(1)
a.b = 16 +0-0-20
a.b = 16-20
a.b =-4
So, value of a.b = -4
Answer: 10.0
Step-by-step explanation: 10/1=10=10.0
Answer:
Only one solution
Step-by-step explanation:
Given:
2c + 4 - 3c = -9 + c + 5
Find:
Number of solution
Computation:
2c + 4 - 3c = -9 + c + 5
-c + 4 = -4 + c
-2c = -8
c = 4
Only one solution
Answer:
1 to 2
Step-by-step explanation:
If A answers 1 question, B will answer 2 questions, making the ratio 1 to 2
Answer:
413.126
Step-by-step explanation:
Given a normal distribution :
Mean (m) = 405
Standard deviation (s) = 19
Weight of fruit will be greater than how many grams (x) if picked 17% of the time:
P(Z > x) = 0.17 ;
The Zscore for P(Z > x) = 0.17 equals 0.954 (Z probability calculator)
Zscore = (x - m) / s
0.954 = (x - 405) / 19
0.954 * 19 = x - 405
18.126 = x - 405
x = 18.126 + 405
x = 423.126
Weight will be greater than 423.126
