Answer:
The minimum score required for the scholarship is <u>665.09</u>.
Step-by-step explanation:
We are given that SAT Writing scores are normally distributed with a mean of 489 and a standard deviation of 112.
A university plans to award scholarships to students whose scores are in the top 6%.
<em>Let X = SAT writing scores</em>
SO, X ~ N()
The z-score probability distribution is given by ;
Z = ~ N(0,1)
where, = mean score = 489
= standard deviation = 112
Now, the minimum score required for the scholarship so that students are in the top 6% is given by ;
P(X ) = 0.06 {where is the minimum score required}
P( ) = 0.06
P(Z ) = 0.06
<em>Now, in z table we will find out that critical value of X for which the area is in top 6%, which comes out to be </em><u><em>1.57224.</em></u><em> </em>
This means;
= 489 + 176.0909 = <u>665.09</u>
Therefore, the minimum score required for the scholarship is 665.09.
-3^-3=1/(-3^3)=-1/27 maybe a typo, because you don't have this as an option
could have been -3^-2=1/(-3^2)=1/9
-3^-1=1/(-3^1)=-1/3
-3^0=1
-3^1=-3
-3^2=9
Answer:
4.39 to 2DP.
Step-by-step explanation:
x * (x - 2) = 28
x^2 - 2x = 28
Solving by completing the square:
(x - 1)^2 - 1 = 28
(x - 1)^2 = 29
x = +/-√29 + 1
x = 6.38516, -4.38516
x must be positive so it = 6.38516.
The shortest side = x - 2 = 4.385.
Answer:
As the given equation represents a quadratic function.
Thus, represents a function.
As we know that the function is just a relation in which each input has only one output.
Thus, represents a relation and function.
Step-by-step explanation:
Given the equation
As the given equation represents a quadratic function.
Thus, represents a function.
As we know that the function is just a relation in which each input has only one output.
Thus, represents a relation and function.
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
The graph is also attached below. From the graph, it is clear that it represents a Parabola.
Answer:
Option (1). (6, 0)
Step-by-step explanation:
The given question is incomplete; here is the complete question.
Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (–6, 10)?
(6, 0)
(0, 6)
(−5, 0)
(0, −5)
Line in orange color is passing through two points (-8, 6) and (4, -4)
Slope of this line =
=
=
=
Other line parallel to this line will have the same slope 'm' =
Parallel line passes through a point (-6, 10).
Let the other point through which the parallel line passes is (a, b)
Now, =
-5(-a - 6) = 6(10 - b)
5a + 30 = 60 - 6b
5a = -6b + 60 - 30
5a = -6b + 30
a =
By satisfying with all the options we find only (6, 0) satisfy this equation.
6 =
6 = 6
Therefore, (6, 0) is the other point lying on the parallel line.
Option (1) will be the answer.