Total voters=v=80
total no. of democrats=d=65
total no. of republicans=r=15
probability of democrats=p1=65/80=0.8125
probability of republicans=p2=15/80=0.1875
probability of a democrat or a republican=p1+p2=0.8125+0.1875=1 <span />
Answer:
Step-by-step explanation:
1) Step 4: Marc has converted radical form to exponent form
Step 5: He has evaluated the value of the radical
3)
![x = \sqrt[3]{8}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B8%7D)
Here, 3 is index and 8 is radicand.
Prime factorize 8 and for every 3 numbers we can take one number outside the radical
Solution:
![x = \sqrt[3]{2*2*2}\\\\x = 2](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B2%2A2%2A2%7D%5C%5C%5C%5Cx%20%3D%202)
4) No,my equation does not have an extraneous solution.
My solution, satisfies the equation
Answer:
3/40
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 9 and 120 is 3
Divide both the numerator and denominator by the GCD
9 ÷ 3
120 ÷ 3
Reduced fraction:
3/40
Answer:
(n-5)^2 - (6n-35)=(n-10)(n-6)
-----------
- n²-10n+25-6n+35 =
- n²-16+60 = n²- 10n - 6n + 60 =
- n(n-10) - 6(n-10) =
- (n-10)(n-6)
Because it can be written as a fraction 1/3