Answer:
-2<x<1
Step-by-step explanation:
-5 < 8x + 11 < 19
Subtract 11 from all sides
-5-11 < 8x + 11-11 < 19-11
-16 < 8x<8
Divide by 8
-16/8 < 8x/8 <8/8
-2<x<1
There are 4 positions in the string that each have 25 choices (any letter in the English alphabet except A) and the other positions are filled with A, so there are 25⁴ possible strings containing exactly 7 A's.
Overall, there are 26¹¹ possible strings of length 11.
Then the probability of randomly generating a string containing exactly 7 A's is
25⁴ / 26¹¹ ≈ 0.000000000106427
This should not be in the elementary school section I didn't even learn about this....
The answer is A which is 125
Bottom Side Surface Area:
(24 inches + 24 inches + 24 inches) * (30 inches)
= 72 inches * 30 inches
= 2160 inches squared
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Top Side Surface Area:
24 inches * 30 inches
= 720 inches squared
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Length of the diagonal (D) which needs to be measured:
*Use Pythaogras's theorem...
24^2 + 10^2 = D^2
D=√(24^2+10^2)
D=26 inches
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Measure the surface area of the two ramps:
26 inches * 30 inches * 2
= 1560 inches squared
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Total surface area:
2160 inches squared + 720 inches squared + 1560 inches squared
= 4440 inches squared
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Answer:
4440 square inches