The recommended weight of a soccer ball is 430 grams. the actual weight is allowed to vary by up to 20 grams.
a. write and solve an absolute value equation to find the minimum and maximum acceptable soccer ball weights. use x
as the variable.
the recommended weight of a soccer ball is 430 grams. the actual weight is allowed to vary by up to 20 grams.
a. write and solve an absolute value equation to find the minimum and maximum acceptable soccer ball weights. use x
as the variable.

The required absolute equation is: |x-430|=20

The minimum and maximum acceptable soccer ball weights is 410 grams and 450 grams respectively.

Step-by-step explanation:

Consider the provided information.

The recommended weight of a soccer ball is 430 grams. The actual weight is allowed to vary by up to 20 grams.

Let x is the actual weight of the soccer ball.

The difference of actual weight and recommended weight can vary by 20 grams.

Thus, the required absolute equation is:

|x-430|=20

x-430=20 or x-430=-20

x=450 or x=410

The minimum and maximum acceptable soccer ball weights is 410 grams and 450 grams respectively.

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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