Answer:
2 x 3 + 7 x 2 + 14 x + 12÷ 2x+ 3 = <u> x² +2x+ 4 </u>
Step-by-step explanation:
We multiply the first term 2x of the divisor with a term ( quotient) to get the first term of the dividend. Then we multiply the same term with each term of the divisor and subtract it from the dividend. The process continues unless we get the zero or a much smaller number than the dividend as the remainder
<u> x² +2x+ 4 </u>
2x+3 ║2 x 3 + 7 x 2 + 14 x + 12
2x³ + 3x²
<u> - - </u>
4x² +14x+12
4x²+ 6x
<u> - - </u>
8x+12
8x+12
<u> - - </u>
<u> 0 </u>
Answer:
Negative one
Step-by-step explanation:
Standard form is when you write out the number.
ex. 45 is forty-five
102 is one hundred two
Hope this helps!
This question is incomplete, the complete question is;
X and Y are independent Gaussian (Normal) random Variables. X has mean 13.9 and variance 5.2; Y has mean 6.9 and variance 3.8. . (a) Calculate P( W> 10)
Answer:
P( W> 10) is 0.1587
Step-by-step explanation:
Given that;
X ⇒ N( 13.9, 5.2 )
Y ⇒ N( 6.9, 3.8 )
W = X - Y
Therefore
E(W) = E(X) - E(Y)
= 13.9 - 6.9 = 7
Var(W) = Var(X) + Var(Y) -2COV(X.Y)
[ COV(X,Y) = 0 because they are independent]
Var(W) = 5.2 + 3.8 + 0
= 9
Therefore
W ⇒ N( 7, 9 )
so
P( W > 10 )
= 1 - P( W ≤ 10 )
= 1 - P( W-7 /3 ≤ 10-7 /3 )
= 1 - P( Z ≤ 1 ) [ Z = W-7 / 3 ⇒ N(0, 1) ]
from Standard normal distribution table, P( Z ≤ 1 ) = 0.8413
so
1 - P( Z ≤ 1 ) = 1 - 0.8413 = 0.1587
Therefore P( W> 10) is 0.1587
Okay, So An Equation To Write Is:
T = Time
S = Money Saved
R = Money Made Per Dog
C = Cost
T = (C - S)/R
Solve:
T = (108 - 30)/8
Simplify
108-30 = 78
T = 78/8
78/8 = 9.75.
T = 9.75
Now, You Can't Walk 0.75 Of A Dog, So Round It.
T = 10
So, You Need To Walk At Least 10 Dogs.
Answer:
Yes you are correct.
Step-by-step explanation:
The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!
