Answer:
The critical value for a 98% CI is z=2.33.
The 98% confidence interval for the mean is (187.76, 194.84).
Step-by-step explanation:
We have to develop a 98% confidence interval for the mean number of minutes per day that children between the age of 6 and 18 spend watching television per day.
We know the standard deveiation of the population (σ=21.5 min.).
The sample mean is 191.3 minutes, with a sample size n=200.
The z-value for a 98% CI is z=2.33, from the table of the standard normal distribution.
The margin of error is:
With this margin of error, we can calculate the lower and upper bounds of the CI:
The 98% confidence interval for the mean is (187.76, 194.84).
Answer:
Correct choices are a, b, e
Step-by-step explanation:
As per diagram, the circles are equal.
<u>Since the distance AB is the radius of both circles:</u>
- AB = AC = BC = BD = AD = r
<u>So the answer choices:</u>
a. AC = BC
b. AC = BD
C. CD = AB
- Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to r√3/2, so CD = AB√3
d. ABCD is a square
- Incorrect. ACBD is rhombus
e. ABD is an equilateral triangle
- Correct, all three sides are equal to r
f. CD = AB + AB
Answer:
Go up 2, then over negative 6
Step-by-step explanation:
Answer:
2.55
Step-by-step explanation:
Draw a picture of the triangle formed by points P, A, and B. The angle of the line from P to A is 225°. The angle of the line from P to B is 116°. The angle of the line from B to A is 258°, and the length of the line is 3.91.
The easiest way to solve this is by first finding the angle of the line from B to P. Using interior angles, we can show that this is 180° − 116° = 64°.
Next, we can show that:
∠APB = 225° − 116° = 109°
∠ABP = 360° − (258° + 64°) = 38°
Finally, we can use law of sines to find AP.
AP / sin 38° = 3.91 / sin 109°
AP = 2.55
