Answer:
Only vowels and odd numbers:

Spells math:

Step-by-step explanation:
We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)
Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.
So the final probability would be:

To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:

Answer:
The answer is option C
Step-by-step explanation:
sin C = opposite / hypotenuse
the opposite is 40
the Hypotenuse is 50
so
sin C = 40/50 = 4/5
Hope this helps you
Answer:

Step-by-step explanation:
Given
Phone R-Us= $16.95 + $0.05 per SMS
Awesome Wireless = $22.95 + $0.02 per SMS
Required
Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us
Represent the SMS with S
For Phone R-Us, we have:

For Awesome Wireless, we have:

For Awesome Wireless is greater or equal to Phone R-Us, we have:

Collect Like Terms


Solve for S


<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>
Answer:
Step-by-step explanation:
ABC have sides: 5, 7 and 10
5^2 + 7^2 = 25+47 = 72 < 10^2
so triangle ABC is obtuse
JKL has sides: 12, 35 and 37
12^2 + 35^2 = 144 + 1225 = 1369 = 37^2
so triangle JKL is right-angled
PQR has sides 12, 10 and 16
12^2 + 10^2 = 144 + 100 = 244 > 16^2
so triangle PQR is acute