The area of a parallelogram is given by the equation x2+8x−5=0, where x is the length of the base. What is the length of this base?

0.5826 units

Step-by-step explanation:

We are given that the area of a parallelogram is given by the equation

Where x= Length of base

We have to find the length of base

We have

a=1,b=8,c=-5

Using the formula

>0

Now,

Using the formula

Length of base cannot be negative

Therefore, the length of base=0.5826 units

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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