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2 years ago

I NEED HELP PLEASE, THANKS!

Mathematics

2 answers:

Talja [164]2 years ago

5 0

The amount of lines of symmetry of a shape is equal to the number of sides that shape has.

A heptagon has 7 sides, so, there are 7 lines of symmetry.

Best of Luck!

KiRa [710]2 years ago

4 0

Answer:

A regular polygon has as many lines of symmetry as the number of side.

A regular heptagon has 7 sides. So, a regular heptagon has 7 lines of symmetry.

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Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a box 10 marbles are picked without replacement.

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Since the marbles are picked up without replacement, so it is a situation of combination.

Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.

So,

$n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.$

Therefore, the probability of event E is given by

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{50063860\times91390}{17310309456440}=0.26.$

Thus, the required probability is 0.26.

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