Answer:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
They randomly survey 387 drivers and find that 298 claim to always buckle up.
This means that
84% confidence level
So , z is the value of Z that has a p-value of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Answer:
49
Step-by-step explanation:
y = -x² - 10x + 24
For a parabola ax² + bx + c, the vertex is at x = -b/(2a).
In this case, a = -1 and b = -10. So:
x = -(-10) / (2 * -1)
x = -5
The y coordinate is:
y = -(-5)² - 10(-5) + 24
y = -25 + 50 + 24
y = 49
The 7 is in the Ones place
A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?
Step-by-step explanation:
HOPE ITS HELP
Answer:
Step-by-step explanation:
Rotation by -90° about the origin is the transformation ...
(x, y) ⇒ (y, -x)
So, your pre-image points are ...
A'(6, 3) ⇒ A(3, -6)
B'(-2, 1) ⇒ B(1, 2)
C'(1, 7) ⇒ C(7, -1)