Answer:
x=1
Step-by-step explanation:
(x+1)(x+2)(x+3)(x+4)=120
Split 120 in it's factors: 2x3x4x5
=>(x+1)(x+2)(x+3)(x+4)=2x3x4x5
=>x+1=2 (Take any one in order)
=>x=1
It is called a complex number.
The equation of movement for each car is given by:
Car 1:
d1 = v1 * t1
Substituting values:
d1 = 42 * 3.5
d1 = 147 miles
Car 2:
d2 = v2 * t2
d2 = v2 * (t1 + 0.5)
Substituting values:
d2 = 50 * (3.5 + 0.5)
d2 = 200 miles
The distance between the cars is:
d = root ((d1) ^ 2 + (d2) ^ 2)
d = root ((147) ^ 2 + (200) ^ 2)
d = 248.2 miles
Answer:
They will be 248.2 miles far.
Answer:
1. P(S) = 373/580
2. P(S|A) = 53/116
3. P(S|Pa) = 481/580
Step-by-step explanation:
Given
---------------------Sale ----- No Sale-----Total
Aggressive ----265 --------315 ----------580
Passive ----------481 ---------99 -----------580
Total --------------746---------414------------1160
A = aggressive approach,
Pa = passive approach,
S = sale,
N= no sale.
(a) Computing P(S)
This is calculated as the division of customers that participated in sales by total customers
Customers that participated in sales = 265 + 481 = 746
Total Customers = 1160
P(S) = 746/1160
P(S) = 373/580
b.
P(S|A) means that the probability that a sales occur given that the aggressive method was used.
To solve this, we check the cell where Sales and Aggressive intersect
The cell element = 265
Total = 580
P(S|A) = 265/580
P(S|A) = 265/580
P(S|A) = 53/116
c.
P(S|Pa) means that the probability that a sales occur given that the passive method was used.
To solve this, we check the cell where Sales and Passive intersect
The cell element = 481
Total = 580
P(S|Pa) = 481/580
Answer:68.375
Step-by-step explanation:
547/8
8 can go into 54. 6 times
8*6=48
54-48=6
Bring down the 7
8 can go into 67 8 times
8*8 is 64
67-64 is 3 so the remainder is 3
The .375 is when you put a decimal than add 0
