Select the equation that is true. • A .2 2/3 × 4 = 8 2/3 • B. 2 2/3 × 5/8 = 1 2/3 • C. 2 2/3 × 2 3 = 2 4/9 • D .2 2 3 × 4 3/5 =
1 answer:
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Answer:
The total number of samples that give this outcome is 5.
Step-by-step explanation:
Since Y takes values in {0,1,2,3}, For us to have that implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that
. Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.
Answer:
- x=7
- ∠GBD=112
- ∠EFC=112
Step-by-step explanation:
Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.
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Given
∠GBD=4x+84
∠EFC=16x
m∠GBD=m∠EFC
Solve
4x+84=16x ⇔ Given
4x+84-4x=16x-4x ⇔ Subtract 4x on both sides
84=12x ⇔ Simplify
84/12=12x/12 ⇔ Divide 12 on both sides
x=7 ⇔ Simplify
Substitute the x value into each angle expression
∠GBD=4x+84=4(7)+84=28+84=112
∠EFC=16x=16(7)=112
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