The number of multiples of 5 from 1 to 100 is:
1≤5n≤100
1/5≤n≤20, since n must be an integer
1≤n≤20
So the multiples of five number 20-1+1=20 elements, and the probability of choosing one of the multiples from the first 100 positive integers is:
P(5n)=20/100=1/5
Answer: The volume of the solid is 324 cm³
Step-by-step explanation:
Formula for determining the volume if a cube is s³
Where s represents the length of each side of the cube.
From the information given, s = 6 cm
Volume = 6³ = 216 cm³
The formula for determining the volume of the square base pyramid is expressed as
Volume = Area × height × 1/3
From the information given,
Length of square base = 6 cm
Height = 6 cm
Area of square base = 6² = 36 cm²
Volume of square base pyramid
= 36 × 6 × 1/3 = 108 cm³
The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes
216 + 108 = 324 cm³
Step-by-step explanation:
Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :
-320+15y
We need to find the depth of submarine after 15 minutes.
Put y = 15 in the above expression.
-320+15y = -320+15(15)
= -320 + 225
= -95
Hence, the submarine is below sea level at 95 feet.
Take the equation: y = 520 + 14x and put each value from the table in for x and y.
100 = 520 + 14 * -30
100 = 520 + -420
100 = 100 When we get an answer like this where the numbers on both sides of the equation match, we know that this (x,y) point is a part of the solution to the function.
So, you would work through each line in the table. If they are all like the one above, the answer is Yes. If not, it is no.
