Answer:
D.
Step-by-step explanation:
just done the assignment
Answer:
- P (blue or too big) = 11 / 12
Explanation:
A two way table permits to represent the situation clearly and find the answser is an easy way.
The two way table is that results from the given information is:
Initial information:
Blue Green Total
Fit well 4 1 ?
Too big ? ? ?
Total 5 7 12
Now by subtraction and addition you can fill the unknown fields:
Blue Green Total
Fit well 4 1 5
Too big 1 6 7
Total 5 7 12
Now, you can see that there are 5 blue and 7 too big shirts, but the total number of them is 5 + 7 - 1 (because one of the too big shirts is also blue).
Then, the number of shirts being blue or too big is 5 + 7 - 1 = 11.
And the probability is :
- P(blue or too big) = number of blue or too big / total number of shirts
- P (blue or too big) = 11 / 12 ← answer
You can also realize that there is only 1 green shirt that fits well, and that is the only option of not being blue of too big, so 1 /12 is the probability of not being blue or too big, and its complement (being blue or too big) is 1 - 1/12 = 11 / 12.
Answer:
x=3
z=65
Step-by-step explanation:
6x+97 and 14x+73 are vertical angles which means they are equal
6x+97= 14x+73
Subtract 6x from each side
6x-6x+97= 14x-6x+73
97 = 8x +73
Subtract 73 from each side
97-73 = 8x+73-73
24 = 8x
Divide each side by 8
24/8 = 8x/8
3 = x
Now we need to find z
6x+97 and z are supplementary angles which means they add to 180
6x+97 +z = 180
6(3) +97 +z = 180
18+97+z=180
Combine like terms
115+z = 180
Subtract 115 from each side
115-115 +z=180-115
z = 65
