Hybrid. Express your answer as a fraction. 3. There are five solids called Platonic solids. Each Platonic solid has congruent
faces, and congruent angles, and they are shown below. Use the figures to
compute the probabilities. Express your answers as fractions.
Tetrahedron
Cube
Octahedron
Dodecahedron
Icosahedron
a. An octahedron has eight faces. If the octahedron faces are labeled with
the numbers 1-8, and it is rolled, find the probability that it will land on a
prime number.
b. The icosahedron has 20 congruent triangular faces. If they are labeled
1-20, and the icosahedron is rolled, what is the probability that it lands on
a multiple of 3?
c. The dodecahedron has 12 congruent pentagonal faces. If they are labeled
1-12, and the dodecahedron is rolled, find the probability that it lands on a
multiple of 3 and 2.
d. A tetrahedron has four congruent triangular faces labeled 10, 20, 30, and 40.
Let T represent "the tetrahedron was rolled.” Let S represent the event “lands
on a multiple of 7." Find P(SIT).
ensed at
lity that a
l:

savings account is an account only used for saving money. this acts as an emergency source of funding for an individual. answer a would result in the money in his account to grow as it specifically states that interest is compounded daily at the rate of 2%

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

it's a proportional graph.

step-by-step explanation:

8 x 5 = 40         (and you have -8x and -5y)

x= absiss

y= orderly

so you have a proportional graph.