Answer: 33.041666
Step-by-step explanation:
Given: The translated equation :
To find the value of x if y = 87.5, we need to substitute the value of y in the given translated equation, we will get
Subtract 87.5 from both the sides , we get
Now, divide 300 on both the sides, we get
Answer:
Where and
And the z score is given by:
And since z = 0.75 we can replace like this:
And if we solve for x we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the ACT scores of a population, and for this case we know the distribution for X is given by:
Where and
And the z score is given by:
And since z = 0.75 we can replace like this:
And if we solve for x we got:
Answer:
Step-by-step explanation:
Our equations are
Let us understand the term Discriminant of a quadratic equation and its properties
Discriminant is denoted by D and its formula is
Where
a= the coefficient of the
b= the coefficient of
c = constant term
Properties of D: If D
i) D=0 , One real root
ii) D>0 , Two real roots
iii) D<0 , no real root
Hence in the given quadratic equations , we will find the values of D Discriminant and evaluate our answer accordingly .
Let us start with
Hence we have two real roots for this equation.
Hence we do not have any real root for this quadratic
Hence D>0 and thus we have two real roots for this equation.
Hence we have one real root to this quadratic equation.