The archway of the main entrance of a university is modeled by the quadratic equation y = -x2 + 6x. The university is hanging a
banner at the main entrance at an angle defined by the equation 4y = 21 − x. At what points should the banner be attached to the archway?
1 answer:
Answer:
The point at which the banner should be attached to the archway is going to be given by the point(s) at which the two equations intercept:
y = -x^2 + 6x and 4y = 21 − x
Solving the system of equations, we find that they intercept at: (1, 5) and (5.25, 3.938)
Therefore, the banner should be attached to the archway at the points (1, 5) and (5.25, 3.938)
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Answer:
Given : The sample mean score is 51.48 .
The standard deviation for the population of test scores is 15.
The nationwide average score on this test is 50.
To Find : Perform the hypothesis test and compute the P-value?
Solution:
Sample size = n = 64
Since n > 30
So, we will use z test over here
We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.
Hypothesis :
Formula of z test :
Substitute the values
Find the value of P(z) from z table
p(z)=0.7823
Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.
So, p value = 1-P(z) = 1-0.7823=0.2177
In general , Level of significance is 0.05
So, p value is greater than alpha.
So, we accept the null hypothesis.