Answer:
6
Step-by-step explanation:
The rolls of the dice are independent, i.e. the outcome of the second die doesn't depend in any way on the outcome of the first die.
In cases like this, the probability of two events happening one after the other is the multiplication of the probabilities of the two events.
So, the probability of rolling two 6s is the multiplication of the probabilities of rolling a six with the first die, and another six with the second:
Similarly,
Actually, you can see that the probability of rolling any ordered couple is always 1/36, since the probability of rolling any number on both dice is 1/6:
Answer:
5.44 cm³
Step-by-step explanation:
The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.
The area of a hexagon with side length s is given by ...
A = (3/2)√3·s²
For s=1 cm, the area is ...
A = (3/2)√3(1 cm)² = (3/2)√3 cm²
__
The area of a circle is given by ...
A = πr²
The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...
A = π(0.5 cm)² = 0.25π cm²
__
The volume is the face area multiplied by the length, so is ...
V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³
V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³
The volume of the metal is about 5.44 cm³.
6 ft= 6x12in= 72 in.
8 ft= 8x12in= 96 in.
12ft=12x12in=144 in
25ft=25x12in=300 in
50ft=50x12in=600 in
72 in, 96 in, 96 in, 144 in, 300 in, 300 in, 600 in
Mean= (72+96+96+144+300+300+600)÷7
1608÷7 = 229.7 inches
Median=middle value in set = 144 inches
Mode= value(s) tha occur most often = 96 inches and 300 inches
Range=difference of largest and smallest values in set = 600-72= 528
Choice A
Answer:
Step-by-step explanation:
![[-5+(-7)]^2-(7+3)^2](https://tex.z-dn.net/?f=%5B-5%2B%28-7%29%5D%5E2-%287%2B3%29%5E2)
Resolving Parenthesis
=> 44
