The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. we calculated the value of z for a specific box of this brand of cereal, and the z value was negative. this negative z value indicates that

The value x of the weight of cereal is below the mean value.

Step-by-step explanation:

z-score value shows how far in standard deviation term is a value lets say x lies from its mean

Given that the mean is 910 grams  and standard deviation is 5 grams then;

The formula for calculating z-score is ;

z=(x-μ)/δ where z is the z-score, x is the value /outcome of numeric random variable, μ is the mean and δ  is the standard deviation

Given μ=910 and δ =5 assume the z-score value =-y then it means the x value for the weight lies y standard deviations below the mean of 910

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)