Answer:
a. 1/10 or 10%
b. 1/2 or 50%
Step-by-step explanation:
Since the combination of machines 1, 2 and 3 produce 100% of the total output when added together, then the probability of choosing a bolt at random that is defective is: 5 + 2 + 3 = 10% out of 100% or 10/100, which is 1/10 or 10%.
If the bolt that is choosen at random is defective, than the probability that it came from machine 1 is 5/10 or 1/2 which is also 50%.
Answer:
4!
Step-by-step explanation:
The answer is not 8, its 4. Just took the test!
Answer:
x=3, z=-1, y=6
Step-by-step explanation:
you need to make the coefficients of each variable equal to each other then subtract 2 equations.
this one: multiply -4 in 1st
4x+4y+4z=32
-4x+4y+5z=7
_____________
8x+0-z=25
we have 2 equations with 2 variables now
2x+2z=4
8x-z=25
<span>The set of an integer is called the set Z
The set of integers number is composed by
the positive whole number {0, 1, 2, 3…}
and the negative whole number
{…-4, -3, -2, -1, 0} .We write it as follow
Z= {…- 4, -3, -2, -1, 0}U{0, 1, 2, 3…}.
If we assume that k is inside Z, so k can
be a negative integer of positive integer.
Besides the absolute value of a number
is always the positive value of this number.
Let be k<0 an integer different from zero,
so abs(k) >0, and abs(k)> k for all value of k.
For example for k= -2, and
abs(k)=abs(-2)=2> -2 (always)</span>
Answer:
titutex=cos\alp,\alp∈[0:;π]
\displaystyle Then\; |x+\sqrt{1-x^2}|=\sqrt{2}(2x^2-1)\Leftright |cos\alp +sin\alp |=\sqrt{2}(2cos^2\alp -1)Then∣x+
1−x
2
∣=
2
(2x
2
−1)\Leftright∣cos\alp+sin\alp∣=
2
(2cos
2
\alp−1)
\displaystyle |\N {\sqrt{2}}cos(\alp-\frac{\pi}{4})|=\N {\sqrt{2}}cos(2\alp )\Right \alp\in[0\: ;\: \frac{\pi}{4}]\cup [\frac{3\pi}{4}\: ;\: \pi]∣N
2
cos(\alp−
4
π
)∣=N
2
cos(2\alp)\Right\alp∈[0;
4
π
]∪[
4
3π
;π]
1) \displaystyle \alp \in [0\: ;\: \frac{\pi}{4}]\alp∈[0;
4
π
]
\displaystyle cos(\alp -\frac{\pi}{4})=cos(2\alp )\dotscos(\alp−
4
π
)=cos(2\alp)…
2. \displaystyle \alp\in [\frac{3\pi}{4}\: ;\: \pi]\alp∈[
4
3π
;π]
\displaystyle -cos(\alp -\frac{\pi}{4})=cos(2\alp )\dots−cos(\alp−
4
π
)=cos(2\alp)…
1
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