MATHEMATICS COLLEGE

Use, <, >, = to compare the following decimals.

Answers

Answer 1

Answer:

Answer:

2.84>2.77

0.01<0.6

3.69<7.19

Step-by-step explanation:

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Answers

Answer:

245÷9 =0 witt remainder 9

A computer shop sold 400 computers last month. And 523 computers were sold this month. What is the percentage increase?

Answers

The increase was 45%

Answer:

The percentage increase is %30.75

Step-by-step explanation:

Subtract 400 from 523 to get the difference so you know how much more wawas sold in units of computers. Since it was increased by 123 you need to find out out what percentage of 400 123 is. This equals 30.75.

A student committee of 4 is formed by randomly drawing people (without replacement) from a collection of 4 sophomores, 4 juniors and 3 seniors. What is the probability the committee thus formed will have at least one representative from all three groups of students?

Answers

Answer: 0.04848

Step-by-step explanation:

Given : There are 4 sophomores, 4 juniors and 3 seniors.

Total choices = 4+4+3 = 11

Number of people needed to be chosen for committee = 4

Number of ways to select 3 people out of 11 (without replacement)= $^(11)P_4$

$=(11!)/((11-4)!)\ \ \ \ [^nP_r=(n!)/((n-r)!)]$

$=(11*10*9*8*7!)/(7!)\n\n= 7920$

Number of ways to select at least one representative from all three groups of students = $^4P_2* ^4P_1* ^3P_1+^4P_1* ^4P_2* ^3P_1+^4P_1* ^4P_1* ^3P_2$

$=(4!)/(2!)*4*3+4(4!)/(2!)*3+4*4*(3!)/(2!)\n\n= 144+144+96=384$

Required probability = $(384)/(7920)=0.04848$

Hence, the probability the committee thus formed will have at least one representative from all three groups of students = 0.04848

Kevin and Caden were both mowing lawns for extra money. Kevin earned $4 per lawn and Caden earned $8 per lawn. For 5 lawns, Caden earned $40. How many lawns would Kevin have to mow to earn the same?