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Crazy boy [7]
3 years ago
9

Santos flipped a coin 300 times. The coin landed heads up 175 times. Find the ratio of heads to total number of coin flips. Expr

ess as a simplified ratio.
Mathematics
2 answers:
kirza4 [7]3 years ago
8 0
Ratio is :- Heads: number of coin flips

So now we plug in the numbers.

A ratio compares two values.

Ratio: 175:300

Now we simplify by dividing both values by the same number.

175:300 =

175/5= 35
300/5= 60

We aren't done yet, because we can still simplify more.

35:60=

35/5= 7
60/5= 12

<span>Our final ratio: 7:12</span>
Troyanec [42]3 years ago
4 0
175/300 divide top and bottom by 5
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Find each absolute value<br><br>| 4+2i |<br><br>| 5-i |<br><br>| -3i |
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How to get answer for number 1: | 4+2i |

\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=4,\:b=2\\=\sqrt{4^2+2^2}\\Refine\\=\sqrt{20}\\\sqrt{20}=2\sqrt{5}\\=2\sqrt{5}

How to get answer for number 2: | 5-i |

\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=5,\:b=-1\\=\sqrt{5^2+\left(-1\right)^2}\\=\sqrt{26}

Number 3 how to get answer: | -3i |

\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=0,\:b=-3\\=\sqrt{0^2+\left(-3\right)^2}\\Refine\\=\sqrt{9}\\\sqrt{9}\\\mathrm{Factor\:the\:number:\:}\:9=3^2\\=\sqrt{3^2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\sqrt{3^2}=3\\= 3

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29+10j= -11<br> Find the value for j
Nezavi [6.7K]
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