For a recipe, Paul uses 3 cups of sugar for every 4 cups of flour. Which table shows equivalent ratios for this recipe?
А
Cups of Sugar
3
9 12
Cups of Flour
6
4
7
10
13
B
3
6
9
Cups of Sugar
Cups of Flour
12
16
8
12
С
3
4.
Cups of Sugar
Cups of Flour
5
6
6
7
4
5
D
3
7
11
Cups of Sugar
Cups of Flour
15
4
7
10
13
Ο Ο.
B
D

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

oof

step-by-step explanation: