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3 years ago

Please help, I will mark brainliest.

Mathematics

1 answer:

Bess [88]3 years ago

7 0

Answer:

Step-by-step explanation:

Total number of students who roller skated = 80

Number of students who roller skated with laser tag = 39

Number of students who roller skated with no laser tag = 80 - 39 = 41

Therefore, percentage of students who roller skated with no laser tag = $\frac{41}{154}\times 100$ = 27%

Since, number of students who played laser tag = 85

Percentage of students who played laser tag = $\frac{85}{154}\times 100$ = 55%

Total number of students who played no laser tag = 45% of 154 = 69

Number of students with no roller skates and no laser tag = 69 - 41 = 28

Percentage of students with no roller skates and no laser tag = $\frac{28}{154}\times 100$

= 18%

Percentage of students who played with no rollers skates = (30 + 18)%

= 48%

Laser tag No laser tag Total

Roller skate 25% 27% 52%

No Roller skate 30% 18% 48%

Total 55% 45% 100%

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3 years ago

Prove A-(BnC) = (A-B)U(A-C), explain with an example

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Answer:

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Step-by-step explanation:

Proof for $[x \in (A \backslash (B \cap C))] \implies [x \in ((A \backslash B) \cup (A \backslash C))]$ for any element $x$ :

Assume that $x \in (A \backslash (B \cap C))$ . Thus, $x \in A$ and $x \not \in (B \cap C)$ .

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Thus, either $x \in (A \backslash B)$ or $x \in (A \backslash C)$ (or both.)

Therefore, $x \in ((A \backslash B) \cup (A \backslash C))$ as required.

Proof for $[x \in ((A \backslash B) \cup (A \backslash C))] \implies [x \in (A \backslash (B \cap C))]$ :

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The question is incomplete.Here is the complete question.

The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?

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L = 49.8

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A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.

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3 years ago