Answer:
9. -6x+10
10. -24x +18y
11. 15y - 10z
12. -8x- 28
13. -7x + 14
14. -24x +12
Step-by-step explanation:
Answer:
X=90°
Y=58°
Z=32°
Step-by-step explanation:
X=180°-90°=90°
Y=180°-90°-32°=58°
Z=180°-58°-90°=32°
To solve this problem, what we have to do is to calculate
for the z scores of each condition then find the probability using the standard
normal probability tables for z.
The formula for z score is:
z = (x – u) / s
where,
x = sample value
u = sample mean = 23 days
s = standard deviation = 1 day
A. P when x < 21 days
z = (21 – 23) / 1
z = -2
Using the table,
P = 0.0228
Therefore there is a 2.28% probability that the hatching
period is less than 21 days.
B. P when 23 ≥ x ≥ 22
<span>z (x=22) = (22 – 23) / 1 = -1</span>
P (z=-1) = 0.1587
z (x=23) = (23 – 23) / 1 = 0
P (z=0) = 0.5
P = 0.5 - 0.1587 = 0.3413
Therefore there is a 34.13% probability that the hatching
period is between 22 and 23 days.
C. P when x > 25
z = (25 – 23) / 1
z = 2
P = 0.9772
This is not yet the answer since this probability refers
to the left of z. Therefore the correct probability is:
P true = 1 – 0.9772
P true = 0.0228
<span>Therefore there is a 2.28% probability that the hatching
period is more than 25 days.</span>
Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, 
if 
, and 
if 
.
For example,
- |2| = 2 because the input 2 is positive, so the input is unchanged;
- |-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.
What this means for this problem is that there are two cases to consider:
- If
, then 
, so that
- On the other hand, if
, then 
, so
Answer: 20% off
Step-by-step explanation:
35.00 times .20 = 7.00
35.00 minus 7.00 = 28.00
