Answer:
16.7% of GMAT scores are 647 or higher
Step-by-step explanation:
The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.
In this problem, we have that the mean 
is 547 and that the standard deviation 
is 100.
a. What percentage of GMAT scores are 647 or higher?
647 is 1 standard deviation above the mean.
So, 50% of the values are below the mean. Those scores are lower than 647.
Also, there is the 34% of the values that are above the mean and are lower than 647.
So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.
The sum of the probabilities must be 100
So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.
Answer:
the numerical value of the correlation between percent of classes attended and grade index is r = 0.4
Step-by-step explanation:
Given the data in the question;
we know that;
the coefficient of determination is r²
while the correlation coefficient is defined as r = √(r²)
The coefficient of determination tells us the percentage of the variation in y by the corresponding variation in x.
Now, given that class attendance explained 16% of the variation in grade index among the students.
so
coefficient of determination is r² = 16%
The correlation coefficient between percent of classes attended and grade index will be;
r = √(r²)
r = √( 16% )
r = √( 0.16 )
r = 0.4
Therefore, the numerical value of the correlation between percent of classes attended and grade index is r = 0.4
Answer:
(4x + 7) (4x - 7)
Step-by-step explanation:
16x^2 will be broken down to 4x and 4x since when you multiply them, it will equal 16x^2
Then -49 can be broken down to 7 & -7 since 7 x (-7) = -49
Answer:
z = 1
Step-by-step explanation:
See the diagram of the triangle attached to this question.
We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.
Hence,
42z + 37 = 40z + (26z + 13)
⇒ 42z + 37 = 66z + 13
⇒ 37 - 13 = 66z - 42z
⇒ 24 = 24z
⇒ z = 1 (Answer)
Answer:
769MIN
Step-by-step explanation:
Hello!
To solve this problem we must use the straight line equation, this equation is as follows
Y=mx+b
where
X= time
Y=Temperature
b=
intercept with the y axis when x = 0, therefore y = 400
m=k=
temperature decrease with respect to time=-0.325
now we replace the values in the equation of the line
Y=-0.325X+400
Now we find the time it takes for the pizza to reach 150 F replacing in the equation and finding X
150=-0.325X+400
150-400=-0.325X+
