Answer:
The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
We can substitute a definition of one of the variables by rearranging the first equation.
We set the first equation equal to one of our two variables.
Now we substitute this equality into our second equation
SOLUTION
Draw the diagram
a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.
Hence
SInce AC=30, Then
Thus, from the median properties of a triangle, AB = 15
Answer:
a) 0.964
b) 0.500
c) 0.885
d)
e) 0.997
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 30000
Standard Deviation, σ = 1500
We are given that the distribution of attendance at stadium is a bell shaped distribution that is a normal distribution.
Formula:
a) P(attendance is greater than 27,300)
P(x > 27300)
Calculation the value from standard normal z table, we have,
b) P(attendance greater than or equal to 30000)
Calculating the value from the standard normal table we have,
c) P(attendance between 27000 and 32000)
e) P(attendance less than 33000)
P(x < 33000)
Calculating the value from the standard normal table we have,
P(x < 33000) = 0.997 = 99.7%
d) We have to find x such that:
Calculating the value from the standard normal table we have,
P(z = 1.645) = 0.95
Thus,
The attendance should be greater than or equal to 32467.5 to be in the top 5% of all games.