17. a set of values has a mean of 102 and a standard deviation of 12. find
the z-score of the value 135.

z = 2.75

Step-by-step explanation:

The formula used for z-score is:

where, is the population mean

is the standard deviation

and x is the value of observation.

Here, x = 135,   = 102   and, = 12

Putting all these values in formula of z-score. We get,

⇒ z = 2.75

It mean that values have score 2.75 standard deviations above the mean.

you have 6 cupcakes

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2