Answer:
5. 43 / 6
6. 8.027778
2. -0.167
4. 1.5
Step-by-step explanation:
5. Conversion a mixed number to a improper fraction: 9 2/3 = 9 · 3 + 2 /3 = 29/3
Conversion a mixed number to a improper fraction: 2 1/2 = 2 · 2 + 1 /2 = 5/2
Subtract: 29/3 - 5/2 = 29 · 2 / 3 · 2 - 5 · 3 / 2 · 3 = 58 / 6 - 15 / 6 = 58 - 15 / 6 = 43 / 6
6. 2 4/9 + 5 7/12 = 289 / 36 = 81 / 36 = 8.027778
2. 3/4 - 11/12 = -1 / 6 =-0.1666667
4. 1 9/10 - 2/5 = 3 / 2 = 11 / 2 = 1.5
The height is around 4.77 mm
Using probability concepts, it is found that P(S and D) = 0.1275.
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- A probability is the <u>number of desired outcomes divided by the number of desired outcomes</u>.
- In a standard deck, there are 52 cards.
- Of those, 13 are spades, and 13 are diamond.
- The probability of selecting a spade with the first card is 13/52. Then, there is a 13/51 probability of selecting a diamond with the second. The same is valid for diamond then space, which means that the probability is multiplied by 2. Thus, the desired probability is:

Thus, P(S and D) = 0.1275.
A similar problem is given at brainly.com/question/12873219
I worked them out separately if I'm correct, then the order is:
x+5y=-2
x+5y=4 These are Inconsistent
y=3x+4
-2x+y=4 These are Consistent independent
3x+y=4
-6x-2y=-8 These are coincident
Inconsistent lines=No solution
Coincident lines=exactly on top of each other
Consistent Independant= Solution, as they cross each other.
~Hope this helps!
Answer:
66
Step-by-step explanation:
(5 - 3)⁴ - 2(7) + 8²
PEMDAS
Parentheses first
(2)⁴ - 2(7) + 8²
Exponents
16 - 2(7) + 64
Multiply and divide from left to right
16 -14 +64
Add and subtract from left to right
2+64
66