Given the quadratic function, to get the roots we factorize:
3x²-4x-7=0
3x²+3x-7x-7=0
3x(x+1)-7(x+1)=0
(3x-7)(x+1)=0
thus the roots are
x=-1 or x=3/7
thus the sum of the roots will be:
-1+3/7
=-4/7
Answer:
I got zero but I am not sure if that is right
Step-by-step explanation:
Answer:
4.5×10^17 m²
Step-by-step explanation:
The radius is half the diameter, so we can make the substitution r=d/2 into the formula to get ...
A = 4πr² = 4π(d/2)² = πd²
Filling in the given values and doing the arithmetic gives ...
A = 3.14×(3.8×10^8 m)² = 45.3416×10^16 m²
A ≈ 4.5×10^17 m²
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We round to 2 significant digits because that is the precision of the given diameter.
Answer: The z score that corresponds to the value x=22 is 0.4 .
Step-by-step explanation:
Given : A normal distribution has a mean 20 and standard deviation 5.
i.e. 

Let x be the random selected variable.
We know that to find the z-score corresponds to the value x is given by :-

For x = 22, we have

Hence, the z score that corresponds to the value x=22 is 0.4