There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%,
2 answers:
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Answer:
Step-by-step explanation:
The sample proportion
The null hypothesis and the alternative hypothesis:
Thus; the test statistics is:
P-value = 2 × P(Z< - 1.768)
From the z tables
P-value = 2 × 0.03853
P-value = 0.07706
Thus, the p-value is 0.05 < P-value < 0.10
Answer:
Yes, point B will lie inside the circle.
Step-by-step explanation:
Let the distance between point C and point A be the radius of our given circle.
We have been given that a circle with center C(4, -2) passes through the point A(1, 3).
Since we know that a point will lie inside circle if the distance between the point and center of circle is less than radius of circle.
Let us find distance between points C and A using distance formula.
Radius of our circle is . Now let us find distance between center of our circle and point B.
We can see that distance of point B from center of our given circle is less than distance between point A and center of circle, therefore point B will lie inside the circle.