Answer:
Step-by-step explanation:
Since triangle ADE and triangle ABC are similar, that means their sides are proportional, thus we get the equation
Thus the value of x is 4
Answer:
213 books
Step-by-step explanation:
Paper books = $1.45 each
$ 1.45 = 1 paper book
$ 1 = 1/1.45 paper book
$98.6 = 98.6/1.45 paper books
$ 98.6 = 68 paper books
Hardback books = $ 2.25 each
$2.25 = 1 Hardbook
$1 = 1/2.25 hardbook
$ 328.10 = 328.10/2.25 hardbooks
$ 328.10 = 145.822 hard books
Number of books cannot be a decimal number, so the value has to be estimated to a nearer whole number.
$ 328.10 = 145 hard books
Total number of books bought = (145 + 68)books= 213 books (Answer)
Answer:
The correct answer is 1,51%
Step-by-step explanation:
To get the probability equally likely of the first 6 examined that have a defective compressor, we use the following formula
P=# of possibilities that meet the condition / #of equally likely possibilities.
As there are multiple events , and all must be achieve, we multiply the probabilities.
P1=7 / 11
P2=6 / 10
P3=5 / 9
P4=4 / 8
P5=3 / 7
P6=2 / 6
P(x)=7 / 11*6 / 10*5 / 9*4 / 8*3 / 7*2 / 6=0,01515151515
P(x)=1,51%
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
