Answer:
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Answer:
The function for the outside temperature is represented by , where t is measured in hours.
Step-by-step explanation:
Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:
Amplitude
Mean temperature
Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:
Where:
- Mean temperature, measured in degrees.
- Amplitude, measured in degrees.
- Daily period, measured in hours.
- Time, measured in hours. (where t = 0 corresponds with 5 AM).
If , and , the resulting function for the outside temperature is:
Answer:
Probability that the sample mean score is less than 522 = 0.0166 .
Step-by-step explanation:
We are given that in 2010 the mean mathematics SAT score was 555, and the standard deviation was 125 i.e.;
Mean, = 555 and Standard deviation, = 125
Also, Z = ~ N(0,1) where, X bar = sample mean
n = sample size
Now, Probability(X bar < 522) = P( < ) = P(Z < -2.1284)
= P(Z > 2.1284) = 0.0166
The above probability is calculated using z table.
Therefore, the probability that the sample mean score is less than 522 is 0.0166 .
There is 25 dimes in the piggy bank-
I really hope this helped- i’m trying to do the best i can!
Answer:
the wide can be 4 feet and the length can be 8 feet