Answer:
Infinitely many solutions.
Step-by-step explanation:
5x-8y=-11
-10x+16y=22
---------------------
2(5x-8y)=2(-11)
-10x+16y=22
---------------------
10x-16y=-22
-10x+16y=22
---------------------
0+0=0
infinitely many solutions
Assuming Adams amount is x, three times his amount will be 3x. $14 more than the times Adam's amount will be 14 +3x.
Therefore if Arlene's money is $56 which is $14 more than three times Adam's amount, then the equation will be ;
14+3x=56
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Answer:
Expected value =0.9
Standard deviation = 0.4359
Step-by-step explanation:
Let's use the formula to find expected value or mean.
Expected value =Σ x *P(x)
x 0 1 2
P(x) ) .15 .8 .05
So, expected value = (0)(0.15) +1(0.8)+2(0.05)
= 0 +0.8 +0.1
=0.9
Expected value =0.9
Now, let's find standard deviation
x 
0 
=0.1215
1 
=0.008
2 
=0.0605
Now, add the last column together and then take square root to find standard deviation.
Standard deviation of the distribution =
Simplify it, so standard deviation =0.4358898...
Round the answer to nearest four decimal places
Standard deviation = 0.4359
Answer:
Step-by-step explanation:
3x+y−7=0 and x+2y+9=0
write in the form y=mx+c
i.e.y=−3x+7,y=
2
−x
−
2
9
∴m
1
=−3 and m
2
∓−
2
1
tan(A−B)=
∣
∣
∣
∣
∣
1+tanAtanB
tanA−tanB
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
1+(−3)(−y
2
)
−3−(−y
2
)
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
∣
5/2
−5/2
∣
∣
∣
∣
∣
=1
∴ Angle b/w then is tan
−1
(1)=45
∘
=
4
π
