Answer:
a)

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.
b)

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.
c)

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.
d)

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.
Step-by-step explanation:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The z-score measures how many standard deviations a measure X is above or below the mean.
In this problem, we have that:

a. 340 wpm



Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.
b. 475 wpm



Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.
c. 420wpm



Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.
d. 610wpm



Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.
Answer:
926kg
Step-by-step explanation:
712kg-498kg=214kg+712kg=926kg
3/4. 2/4. 1/4. 3/4. 4/4
Answer:
Measure of smallest angle will be 27 degrees.
Step-by-step explanation:
We are told that a triangular playground has angles with measures in the ratio 8:3:9 and we are asked to find out measure of smallest angle.
Since we know by the angle sum property that angles in a triangle add up to 180 degrees.
We can set an equation from our given ratio as:




Now we will find measure of our smallest angle by multiplying 3 by 9 as 3x will be smallest angle of our triangle.

Therefore, measure of the smallest angle will be 27 degrees.
Answer:
x = 45
Step-by-step explanation:
Each corner of the square is a right angle measuring 90 degrees.
x + 45 = 90
x = 45
Answer:
No solution
Step-by-step explanation:
No solution.
You could graph y = |x| and then graph y = -5. You'd see quickly that these two graphs never intersect.
The absolute value function y = |x| can only be zero (0) or positive.