Answers:
- Red = 1/3
- Yellow = 7/15
- Blue = 1/5
====================================================
Explanation:
Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.
- Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3
- Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15
- Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5
Volume of a cone = PI x r^2 x h/3
Volume = PI x 5^2 x 9/3
Volume = 235.62 cubic cm.
Volume of a block of wax = L x W x H
Volume = 2 x 4 x 3 = 24 cubic cm.
Total number of blocks = Volume of cone / volume of blocks:
235.62 / 24 = 9.82
Round up to 10.
They will need 10 blocks.
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Answer:
It is stratified random sampling.
Step-by-step explanation:
Stratified random sampling is a method of sampling that involves the division of a population into smaller sub-groups known as <em>strata.</em>
The strata are formed based on members' shared attributes or characteristics, in this case their race.
Stratified random sampling is also called <em>proportional random sampling</em> or <em>quota random sampling</em>
Answer:
A = 4 cm²
Step-by-step explanation:
The area of a triangle is calculated as
A =
bh ( b is the base and h the perpendicular height )
b = AC = 3
+
= 4
h = BD
Calculate BD using Pythagoras' identity in Δ ABD
BD² = AB² - AD²
= (2
)² - (3
)²
= 20 - 18 = 2 ( take square root of both sides )
BD = 
Then
A =
× 4
×
= 2 ×
×
= 4 cm²