Answer:(3x-7) (3x-7)
Step-by-step explanation:
9x2-42x+49
The two by the 9 is power of 2 so the small two above
Hi
2/3 y+y-4=31
Simplify both sides of the equation
2/3 y-4=31
Combine like terms
(2/3 y+y)+(-4)=31
5/3 y-4=31
Add 4 to both sides
5/3 y-4+4=31+4
5/3 y=35
Multiply both sides 3/5
(3/5)*(5/3 y)=(3/5)*35
y=21
I hope that's help !
Answer:
0.02566
0.972559
Step-by-step explanation:
Given that :
Sample size (n) = 36
σ² = 6
sample variance S^2
a) greater than 9.1;
b) between 3.5 and 10.5.
The degree do freedom (df) = n - 1
S² > 9.1
P(S² > 9.1) = X² > ((n - 1) * S²) / 6
P(S² > 9.1) = ((36 - 1) * 9.1) / 6
P(S² > 9.1) = (35 * 9.1) / 6
P(S² > 9.1) = 53.083
P(X² > 53.08) = 0.02566 ( chi square distribution calculator)
b) between 3.5 and 10.5.
((36 - 1) * 3.5) / 6 ≤ S² ≤ ((36 - 1) * 10.5) / 6
20.416666 ≤ S² ≤ 61.25
Using the Chisquare distribution calculator :
P(X² > 20.42) = 0.9765
P(X² > 61.25) = 0.003941
Hence,
0.9765 - 0.003941 = 0.972559
3908i is a pure imaginary number. So option B is coorect
<u>Solution:</u>
Given that, a number is 3908i
We have to find the type of number which it belongs to from the given set of options
If we observe the number clearly, we can see the “i” behind the number 3908, where “i” value is square root of ( - 1 ).
We know that, “i” is not real, so 3908i is also not real.
And it has other operation like a + bi or a – bi
So, it is just imaginary number but not a complex number.
Hence, the given number is pure imaginary number. So option b is correct.