Answer:
y = 5x + 3 is a nonproportional relationship.
Step-by-step explanation:
We need to find the equation that represents a nonproportional relationship.
If y is directly proportional to x, it would mean that,
y ∝ x
y = kx
Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.
Hence, we can say that option (b) represents a nonproportional relationship.
Answer:
CI = (98.11 , 98.49)
The value of 98.6°F suggests that this is significantly higher
Step-by-step explanation:
Data provided in the question:
sample size, n = 103
Mean temperature, μ = 98.3
°
Standard deviation, σ = 0.73
Degrees of freedom, df = n - 1 = 102
Now,
For Confidence level of 99%, and df = 102, the t-value = 2.62 [from the standard t table]
Therefore,
CI = 
Thus,
Lower limit of CI = 
or
Lower limit of CI = 
or
Lower limit of CI = 98.11
and,
Upper limit of CI = 
or
Upper limit of CI = 
or
Upper limit of CI = 98.49
Hence,
CI = (98.11 , 98.49)
The value of 98.6°F suggests that this is significantly higher and the mean temperature could very possibly be 98.6°F
A clock is a circle which is 360 degrees.
There are 12 hours -----> 360/12 = 30 degrees.
Going clockwise, add 30 degrees for every hour the hour hand is at.
There are 60 minutes -----> 360/60 = 6 degrees.
Add 6 degrees for every minute the minute hand is at.
Find position of both hour hand and minute hand, then take the difference.
Time is 5:15.
Hour hand is at 5 plus 15/60 or 5.25.
Multiply by 30. 30*5.25 = 157.5
Minute hand is at 15.
Multiply by 6. 15*6 = 90
157.5 - 90 = 67.5 degrees.
A line perpendicular to the given line would have an opposite signed reciprocal slope. Since the slope of the given line is -1, then the perpendicular lines slope is 1.
Find b using y = mx + b or y - mx = b
-2 - 1(-2) = b
0 = b
The answer is y = x + 0 or y = x
