a. 12 deg, b. 168 deg
We can create a systems of equations using this information, since supplement angles add up to 180 deg and complementary angles add up to 90 deg, when angle = x deg and supplement = y deg,
x + y = 180
y = 2(90 - x ) + 12
Solving:
x + 2(90 - x) + 12 = 180
-x + 180 + 12 = 180
x = 12
12 + y = 180
y = 168
It’s the second option where a=1,b=-3 and c=-2
Amount of money Peter gave the sales clerk is:
2(50)+4(20)+4(5)
=100+80+20
=$200
Thus the balance he received was :
200-199.90
=$0.1
=10 cents
The z-score of the person who scored 178 on the exam is fund as 2.8.
<h3>What is defined as the normally distribution?</h3>
- The proper term for just a probability bell curve is the normal distribution.
- The mean of a normal distribution is zero, as well as the standard deviation is one. It has a skew of 0 and a kurtosis of 3.
- However all symmetrical distributions are normal, not all normal distributions are symmetrical.
- Many naturally occurring phenomena resemble the normal distribution.
- However, most pricing distributions in finance are not perfectly normal.
For the given question,
Mean μ = 150
Standard deviation σ = 10
Observed value x = 178.
The z-score is calculated as;
z = (x - μ)/σ
z = (178 - 150)/10
z = 28/10
z = 2.8
Thus, the z-score of the person who scored 178 on the exam is fund as 2.8.
To know more about the normally distribution, here
brainly.com/question/23418254
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To your problem the answer is
x=0