On the football field, there are 22 players at a time: 1/2 offense & 1/2 defense. At a TCU vs. Baylor game, the Baylor defen
se is using a "Nickel' defense which comprises of 4 linemen, 2 linebackers, 2 cornerbacks, a nickelback, and 2 safeties. For a player's position, find P(linebacker/defense).
A) 2/11
B) 3/22
C) 5/11
D) 1/2
A) 2/11
B) 3/22
C) 5/11
D) 1/2
1 answer:
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7 more year 9 students than year 8 students should be surveyed, If Mr.Ford wants to survey 50 of these students stratified by year group.
Step-by-step explanation:
The given is,
Year Students
7 80
8 110
9 160
Total 350
Mr.Ford wants to survey 50 of these students stratified by year group.
Step:1
Formula to find the ratio of number of grouped students to total students,
=
= 0.1428
Step:2
Formula for Number of students surveyed from year wise,
For year 7 students,
= (Ratio) × (Students from year 7)
= 0.1428 × 80
= 11.424
≅ 11 (∵ For students we convert into whole number)
For year 8 students,
= (Ratio) × (Students from year 8 )
= 0.1428 × 110
= 15.708
≅ 16 (∵ For students we convert into whole number)
For year 8 students,
= (Ratio) × (Students from year 9 )
= 0.1428 × 160
= 22.8
≅ 23 (∵ For students we convert into whole number)
Step:3
To find How many more year 9 students than year 8 students should be in the survey
= ( Students from year 8 for group) -
( Students from year 8 for group)
= 23 - 16
= 7 students
Result:
7 more year 9 students than year 8 students should be surveyed, If Mr.Ford wants to survey 50 of these students stratified by year group.
The length and the width of the rug having an area of 40 square feet will be 5 feet and 8 feet respectively.
<h3>what is area?</h3>Area is defined as the space covered by any object in the two dimensional plane. Here it is given that the area of the rug should be 40 square feet and the length of the rug is 3 less then its width.
So to find out the length and the width we will form an equation.
Let the width is = x feet
So the length will be = x-3 feet
Now the area will be
By solving the quadratic equation
Here the value of x will be positive because length cant be negative.
So the width of the rug will be x=8 feet
Length of the rug will be x-3= 8-3=5 feet
Hence the length and the width of the rug having an area of 40 square feet will be 5 feet and 8 feet respectively.
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