Tim worker is doing his budget. he discovers that the average electric bill for the year was $206.00 with a standard deviation of $10.00. what percent of his expenses in this category would he expect to fall between $184.00 and $200.00? the z for $184.00 = - the percent of area associated with $184.00 = % the z for $200.00 = - the percent of area associated with $200.00 = % subtracting the two percentages, the percent of expenses between $184.00 and $200.00 is %

The z-value is computed from ...

... z = (x -µ)/σ

... z = (184 -206)/10 = -2.2 . . . . for $184

... z = (200 -206)/10 = -0.6 . . . . for $200

You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.

... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)

... -0.6 corresponds to the 27.425 percentile.

Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.

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Comment on the calculator display

The difference that got cut off from the display in the attachment is ...

... 0.2603496703

The normalcdf( ) function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes