Ihave 2 questions. i will give brainliest tag. me out. no plagiarism

1. tiles spelling the word “restaurant” are placed on a sign above a building. if one of the letters falls down at random, what is the probability that the letter is not a vowel? (justify)

2. nick has a square sheet of paper 15 centimeters on a side. he folds the paper along the diagonal and makes a triangle. find the length of the hypotenuse of this triangle. (justify)

question 1)   3/5  

question 2)  15  x square root of 2 (around  21.2 cm)

Step-by-step explanation

 The word "Restaurant" contains a total of 10 letters( 4  are vowels and 6 are consonants)

Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes.

number of favorable outcomes =6

total  number of possible outcome.=10

P=6/10  =  3/5

15  x square root of 2 (around  21.2 cm)

folding diagonally  the square sheet  form a right triangle

In a  right   triangle, the length of the hypotenuse is    the square root of 2   multiplied  by the length of a leg.

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %