Answer:
total 20 squares in matrix of size 4×3
Step-by-step explanation:
in square of size 1×1
six squares of size 2×2
2 squares of size 3×3
Answer:
You can use a table to find the answer which is 1!
Step-by-step explanation:
Answer:
Answer is a continuous random variable x the height of the function named the probability density function f(x)
Step-by-step explanation:
A continuous random variable takes infinite number of possible values.
example include height , weight amount of sugar in an orange time required to run a mile.
Continues random variable named probability function f(x).
(5x-3)/4 = x/3 +1
5x-3 = 4x/3 +4
5x - 4x/3 = 7
(11/3)x = 7
x = 7/(11/3) = 21/11
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³