Question

1. The cards bearing letters of word “MATHEMATICS” are placed in a bag. Find the probability of getting: (a) any vowel. (b) any consonant. (c) the letter ‘m’. 2. 8 added to twice a number gives 40. Find the number

Answer 1

In bold.

Explanation:

1.

There are a total of 11 letters in the bag including 4 vowels, 7 consonants.

The letter m appears twice in mathematics.

(a) Probability(getting a vowel) = 4/11.

(b) Probability(getting a consonant) = 7/11.

(c) Probability(getting a letter m) = 2/11.

2.

Let the number be n, then:

8 + 2n = 40

2n = 32

n = 16.

Answer 2

1) 30%, 50%, 10%

2) x = 24

Explanation:

Hey there!

1) "MATHMATICS"

a) Vowels - a, e, i, o, u

This is 3/10 of the letters meaning pulling a vowel is 30%.

b) Constants - B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, X, Z

Well there are 5 constants in mathematics so the percent is 50%.

c) Letter "m"

The letter m is 1/10 meaning pulling the letter m is a 10%.

2) 8 added to twice a number gives 40. Find the number

Well lets set u an equation,

8 + x + 8 = 40

16 + x = 40

-16

x = 24

Hope this helps :)