Recall that the probability of multiple events occurring is equal to their individual probabilities. The chance of rolling a one is 1/6, so the chance of that occurring three times is (1/6)^3, which is equal to 1/216.
For this case, we observe that the triangles are similar.
We observe that the triagnules have three equal angles.
Therefore, to find the value of x we can use the following relationship:

Clearing x we have:
Answer:
The value of x is given by:
x = 6.25
Answer: a) see image (below)
b) S ∩ M = 237
c) S U M = 598
<u>Step-by-step explanation:</u>
b) Total students = 685
Not sports or music = 87
Sports Total = 385
Music Total = 450
Both Sports and Music is their intersection:
S ∩ M = S + M + N - T
= 385 + 450 + 87 - 685
= 237
c) Sports only = S - (S ∩ M)
= 385 - 237
= 148
Music only = M - (S ∩ M)
= 450 - 237
= 213
Sports OR Music is their union:
S U M = S + M - (S ∩ M)
= 385 + 450 - 237
= 598
Answer:
1. 5xy^3
2. 4/9m^6 n^4
3. 2a^2/c
4. 4x^3m+6/3
Step-by-step explanation:
Answer: 76 rows.
Step-by-step explanation:
The gardener has 5770 plants.
Now, suppose that he plants M rows of plants, such that each row has N plants on them
Then the total number of plants is M*N
And he wants to have the same number of rows that plants in each row, then:
M = N
Then the total number of plants is M*M = M^2
Now we know that he falls short by 6 plants, then we have the equation:
M^2 = his total number of plants + 6 plants
M^2 = 5770 + 6 = 5776
We can solve this for M, as:
M = √(5776) = 76
This means that the gardener wants to make 76 rows.