Dot product is
a*b = |a|*|b|*cosα.
In our case
u*u =|u|*|u|*cos 0
u*u =|u|*|u|
12=|u|²
|u|=√12=√(4*3)=2√3
Answer: <span>D. 2√3</span>
Answer:
(1
, 2
)
Step-by-step explanation:
Given the 2 equations
7x - y = 7 → (1)
x + 2y = 6 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the y- term
14x - 2y = 14 → (3)
Add (2) and (3) term by term to eliminate y
15x = 20 ( divide both sides by 15 )
x =
=
= 1 
Substitute this value of x into either of the 2 equations and solve for y
Substituting in (2)
+ 2y = 6
2y = 6 -
=
( divide both sides by 2 )
y =
= 2 
Answer:
0.0181 probability of choosing a king and then, without replacement, a face card.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of choosing a king:
There are four kings on a standard deck of 52 cards, so:

Probability of choosing a face card, considering the previous card was a king.
12 face cards out of 51. So

What is the probability of choosing a king and then, without replacement, a face card?

0.0181 probability of choosing a king and then, without replacement, a face card.
The event that either M1 or M2 fails has probability

by the addition rule. Failure events are independent, so

so that

Denote this probability by
. Then
follows a geometric distribution with this parameter
and has density

The expectation is
.
Answer:
<h2> 224.7cl </h2>
Step-by-step explanation:
Ok, noticed that the bottles are not properly given a unit according to the question.
let us assume the units are in centiliters that is cl
Every morning the bottle of water has 16.9cl
the bottle of orange juice has 15.2cl
therefore if Jakie does this drinking continuously for 7 days she will be drinking
bottle of water has 16.9cl*7= 118.3cl
bottle of orange juice has 15.2cl*7=106.4cl
total=118.3+106.4
total is 224.7cl