Answer:
0.5<
Step-by-step explanation:
5/10<5+65/10+100<65/100
=5/10<5+65/10+100<65/100
=1/2<1+13/2+20<13/20
=1/2<14/22<
Answer:
80.796,64
Step-by-step explanation:
Answer:
Sam is incorrect
Step-by-step explanation:
We can calculate the lengths of the diagonals using Pythagoras' identity.
The diagonals divide the rectangle and square into 2 right triangles.
Consider Δ SRQ from the rectangle
SQ² = SR² + RQ² = 12² + 6² = 144 + 36 = 180 ( take square root of both sides )
SQ =
≈ 13.4 in ( to 1 dec. place )
Consider Δ ONM from the square
OM² = ON² + NM² = 6² + 6² = 36 + 36 = 72 ( take square root of both sides )
OM =
≈ 8.5 in ( to 1 dec. place )
Now 2 × OM = 2 × 8.5 = 17 ≠ 13.4
Then diagonal OM is not twice the length of diagonal SQ
Answer:
Last option: 
Step-by-step explanation:
If the shell of a bass drum was cut down one side and laid flat, the resulting shape would be a rectangle.
The area of a rectangle can be calculated with the formula:

Where l is the lenght and w is the width.
In this case, the lenght of the rectangle obtained (the lenght of the shell) is the circumference of the drum.
Remember that the circumference of the circle can be calculated with:

Where r is the radius of the circle.
Then:

The width is the height of the shell:

Then, substituting into
, you get:

Answer:
Sampling interval = 9.323
Step-by-step explanation:
Given that:
Population size, N = 9500
Require sample, n = 1019
Sampling interval :
Population size / required sample size
Sampling interval = 9500 / 1019 = 9.3228
Interpretation :
In other to obtain a sample of 1019 drawn systematically from the population, a sample will be drawn at every 9.323 units from the population of 9500