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Paha777 [63]
3 years ago
9

If the spinner is spun twice, what is the probability that the spinner will stop on a vowel then a consonant?

Mathematics
2 answers:
icang [17]3 years ago
4 0

Option B is correct - 1/9

barxatty [35]3 years ago
3 0

<h3>B) 1/9</h3>

\\

\large\mathfrak\red{\underline{Step\:by\:step \:explanation}}

\dashrightarrowThere are 2 (L and Z) consonants out of 6 letters.

\\

\red\bigstar<u>The probability of getting a consonant </u>

\pink\implies 2/6 = 1/3

\\

:\red\impliesWhen we spin the spinner second time, we will get the same probability

= 2/6 = 1/3

\dashrightarrowThe probability that the spinner will stop on a consonant then again on a consonant

= 1/3 x 1/3

= 1/9

\red\bigstar\mathfrak \pink{Therefore, the  \: answer \:  is  \: B) 1/9}

\rule{300px}{.7ex}

\large\tt\purple{\underline{ElegantLavender~}}

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a^2 = b^2 + c^2 -2bccos A\\(10)^2 = (11)^2 + (14)^2 -2(11)(14)cosA\\100 = 121 + 196 -308cosA\\100 = 317 -308 cosA\\100-317 = -308cosA\\-217/-308  = cos A\\0.704 = cos A\\=> A = cos ^{-1}(0.704)\\A= 45

Now finding angle B

b^2 = a^2 + c^2 -2ac cos B\\(11)^2 = (10)^2 + (14)^2 - 2(10)(14)cosB\\121 = 100+196 - 280cosB\\121 -296 = -280cosB\\-175/-280 = cosB\\0.625 = cosB\\=> B = cos^{-1} (0.625)\\B = 51

Now finding angle C

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