Answer:
Part (a) The value of Z is 0.10396. Part (b) The value of Z is 0.410008.
Step-by-step explanation:
Consider the provided information.
Part (a)
In order to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414, simply find 0.5414 in the table and search for the appropriate Z-value.
Now, observing the table it can be concluded that the value of Z is 0.10396.
Part (b)
Consider the number 65.91%
The above number can be written as 0.6591.
Now, find 0.6591 in the table and search for the appropriate Z-value.
By, observing the table it can be concluded that the value of Z is 0.410008.
For this case we have the following expression:

For simplicity we follow the steps:
We apply distributive property to the terms within the parenthesis, bearing in mind that:

We add similar terms taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed.

ANswer:

171/3 is 57. the three consecutive numbers are 56, 57 and 58.
244/4 is 61. the even integers are 58, 60, 62 and 64
easy way...
multiply Base x height (for both)
30 inches x 12 inches = 360 in
16 in. x 12 in = 192 in.
then add both
360 + 192 = 552
A=552 in²
Answer:
Dividing by a fraction is multiplying by the reciprocal
15.09/1/100=15.09*100=1509
267.4/1/10=267.4*10=2674