Which of the following are true? select one or more:
(a) the t-distribution is dependent on the sample size.
(b) the t-distribution does not depend on the sample size.
(c) the t-distribution has more values at the extremes than a standard normal distribution.
(d) the t-distribution has fewer values at the extremes than a standard normal distribution.
(e) the t-distribution is bell-shaped and centered at its degrees of freedom.
(f) the t-distribution is bell-shaped and centered at 0.
(g) with larger samples, the t-distribution is closer to a normal distribution.
(h) with smaller samples, the t-distribution is closer to a normal distribution.

As given below.

Explanation:

1. The t-distribution is based and dependent on the sample size.

2. The t-distribution is more valued at the extremes thus has a standard normal distribution.

3. The t-distribution is bell-shaped and is centered at 0.

4. The t-distribution is a kind of bell-shaped and is centered at its degrees of freedom.

5. With larger samples, the t-distribution is close to the normal distribution.

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

answer: d. characteristics of guests

explanation: it is directly related to the spending characteristics of attendees who fall into each of these categories: