Given the data 112, 115, 109, 104, 108, and 112, the mean is 110 and the standard deviation is 3.5. is the data distributed normally?
a.)
yes, 100% of the data falls within one standard deviation of the mean.

b.)no, 100% of the data falls within one standard deviation of the mean.

c.)no, 100% of the data falls within two standard deviations of the mean.

d.)yes, 99.7% of the data falls within three standard deviation of the mean.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

7

step-by-step explanation: