Answer:
The positive value of 
will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let 
, roots are those values of 
so that 
. That is:
(1)
Roots are determined analytically by the Quadratic Formula:
The smaller root is 
, and the larger root is 
.
has one real root when 
. Then, we solve the discriminant for :
The positive value of will result in exactly one real root is approximately 0.028.
Answer:400
Step-by-step explanation: multiply the volume value of 2.4 liters by 1000 then divide by 6
2.4*1000/6
To solve this problem, all you have to do is set the exponents equal to each other because the bases are the same.
2n=10
<em>*Divide both sides by 2*</em>
n=5
The answer is 5.
Hope this helps!
The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5 then: (x+1)=-5+1=-4 This is not the solution.
x₂=(1+11)/2=6 then: (x+1)=6+1=7 This solution is right.
Answer: the numbers would be 6 and 7.
All our answers lie in the above statement.
Confidence Level:
The creator claims that 9 out 10 students will have the average score in the said range. Or in other words we can say that the creator is 90% confident about the result of the field test. So the confidence level is 90%.
Margin of Error:
The average score lies within 4% of 70%. This means the margin of error is 4% i.e. the average scores can deviate from 70% by 4% .
Confidence Interval:
Lower Limit = 70% - 4% = 66%
Upper Limit = 70% + 4% = 74%
Interpretation:
The exam creator is 90% confident that the average scores of seniors will be between 66% and 74%.
