Question

(Two questions)The temperature in an office is controlled... PLEASE

Answer 1

a) the temperature is y = 16° C at 9 AM.

b) The probability of selecting 2 vowels at the same time is 2.8%

Explanation:

a)

Temperature = y=?

Time = x = 9 A.M

The given equation is:

`y = 19 + 6 sin ((\pi )/(12)(x-11))`

Putting x = 9 and solving

`y = 19 + 6 sin ((\pi )/(12)(9-11))\\y = 19 + 6 sin ((\pi )/(12)(-2))\\y = 19 + 6 sin ((-\pi )/(6))\\y = 19 + 6(-0.5)\\y = 19 - 3\\y = 16`

So, the temperature is y = 16° C at 9 AM.

b)

WORD CLEMSON

Total Words = 7

Vowels = e, o = 2

Probability of selecting 2 vowels at the same time = P(2 Vowels) =?

We will use the formula of combinations nCr = n! / r! (n-r)!

As we are selecting three letter out of 7, the sample space will be 7C3

And

As there are only two vowels in the given word, and we have to find the probability of selecting two vowels so our event space will be 2C2.

P(2 Vowels) = 2C2 / 7C3

= 1/35

= 0.028 = 2.8%

So, The probability of selecting 2 vowels at the same time is 2.8%