If one letter is chosen at random from the word assists, what is the probability that the letter chosen will be an "s"?

Mathematics

1 answer:

OLEGan [10]3 years ago

7 0

Answer:

4/7 or 57%

There are 7 letters in the word "assists" and 4 of them are "s"

4 divided by 7 will give you the percentage

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Mr. Rogers has $4.62. He has 3 times as many dimes as nickels and 6 more pennies than dimes. How many coins of each kind does he

Marysya12 [62]

Let’s make x = # of nickels. Then 3x = # of dimes and 3x+6 = # of pennies. A nickel is 5 cents, a dime is 10 cents and a penny is 1 cent.

The money she has should be .05(x) + .10(3x) + .01(3x+6) = 4.62 or to make it simpler: 5(x) + 10(3x) + 1(3x+6) = 462.

5x + 30x + 3x + 6 = 462

38x + 6 = 462

38x = 456

x = 12.

So she has 12 nickels (12 * $0.05 = $0.60), 36 dimes (36 * $0.10 = $3.60) and 42 pennies (42 * $0.01 = $0.42). $3.60 + $0.60 + $0.42 = $4.62.

3 0

3 years ago

Write the first five terms of the sequence in which the nth term is a_n=(n+1)!/n+1.

VikaD [51]

Answer:a) 1,2,6,24,120

Step-by-step explanation:

The formula for the nth term of the sequence is expressed as

n=(n+1)!/n+1

For the first term, n = 1. Therefore,

(1+1)!/(1+1) = 2!/2 = (2×1)/2 = 1

For the second tern, n = 2. Therefore,

(2+1)!/2+1 = 3! /3 = (3×2×1)/3 = 6/3 = 2