find the variance and standard deviation of the given set of data to the nearest tenth. {530, 150, 320, 500, 200, 690, 770}

a. variance = 48,326.5, standard deviation = 219.8

b. variance = 56,381, standard deviation = 237.4

c. variance = 219.8, standard deviation = 48,326.5

d. variance = 48,326.5, standard deviation = 24,163.3

B. variance = 56,381, standard deviation = 237.4

Step-by-step explanation:

mean = 451

variance =( (530-451)² + (150-451)² + + (770-451)²) / 7 = 56380.95

STDEV = √Variance = √56380.95 = 237.46

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )