7. A rectangular area is 5 yards longer than it is wide, and it covers 126 square
yards. Find its dimensions.

Step-by-step explanation:

1.  x is the width and length is x+5.  

2. x(x+5) = 126

3. x^2 + 5x = 126

4. subtract 126 from each side to set to zero

5. x^2 + 5x - 126 = 0

6. factor

7. (x+14)(x-9)=0

8.  x can equal -14 or 9 but -14 doesn't make sense in this problem because a length can't be negative

9. so width is 9 and length is 14

what "following statement"?

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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