You have all five questions correct. Nice work
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Problem 1: There are 8 spaces labeled 1 though 8 so the proper sample space is {1,2,3,4,5,6,7,8} which is basically all the possible outcomes
Problem 2: There is one "3" out of 8 total, so 1/8 is the probability of landing on 3
Problem 3: There are 4 spaces that are even {2,4,6,8} out of 8 total {1,2,3,4,5,6,7,8}. So 4/8 = 1/2
Problem 4: There are 4 blue out of 3+5+4 = 12 total, so 4/12 = 1/3
Problem 5: We got 24 red out of 40 total, so 24/40 = 3/5
Answer:
n < 2
Step-by-step explanation:
This inequality can be solved the same way the corresponding 3-step linear equation would be solved.
8n +20 < 6n +24 . . . . . given
2n +20 < 24 . . . . . . . . step 1, subtract 6n to isolate the variable on the left
2n < 4 . . . . . . . . . . . . step 2, subtract 20 to separate constants and variable terms
n < 2 . . . . . . . . . . . divide by the coefficient of the variable
You wrote it as 0.59 or .59
ANSWER:
∠1 = ∠4 (Vertically opposite angle).
∠1 = ∠5 (Corresponding angle).
∠1 = ∠8 (Alternate exterior angle).
So, ∠4 , ∠5 and ∠8 are congruent to ∠1.
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees.
