Answer:
The p-value is 0.0577.
Step-by-step explanation:
The alternate hypothesis is:
P-value of the test:
The p-value of the test is the probability of finding a sample proportion above the one found, which is 1 subtracted by the p-value of z.
We have that z = 1.574.
Looking at the z-table, z = 1.574 has a p-value of 0.9423
1 - 0.9423 = 0.0577
12/13
The length of the segment from the origin to the terminal point is ...
r = √((-5)² +12²) = √169 = 13
The sine of the angle is the ratio of the y-coordinate to this distance
sin(θ) = y/r = 12/13
_____
Additional comment
The other trig functions are ...
cos(θ) = x/r = -5/13
tan(θ) = y/x = -12/5
This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.
Fractions equivalent to expression: 50/-17 , -50/17, -(50/17)
Explain: The quotient is a rational number because when we divided p by q, q was not equal to zero.
One solution is x = 1 and y = 443 because
0.10(1) + 0.05(443) = 22.25.
So, (1, 443) is a solution.
Since, 1 dime = 2 nickels,
Increment of 1 in x-value = Decrease of 2 in y-value.
Therefore, the set of possible solutions are {(1, 443), (2, 441), (3, 439), (4, 437),......(222, 1)}