The given expression is
The exponent of x is decreasing and y in increasing .
That is ,
Where a,b,c,d,e,f,g,h,i are th constants
So the correct options are b and d .
A factory produces 125 bags of jelly beans every 10 seconds. Is there a linear function proportional? How do you know?
1 answer:
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The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.
We have to evaluate the measures of center.
Firstly, we will calculate the mean.
Mean = (Sum of all the observations)/ (Total number of observations)
Mean =
=
= 55.62
Now, we will calculate mode.
Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.
Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.
Mode = 55.6
Now, we will calculate the median.
Firstly, we will arrange in the ascending order.
52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3
Since there are 10 terms.
Median = th observation
Median = 5th observation.
Since, the 5th observation is 55.6.
Therefore, the median is 55.6
Answer:
0.675 m/s
Step-by-step explanation:
Let height of shadow= y,CD=x
Height of man=2 m
Speed of man=
Therefore,
Differentiate w.r.t t
When the man is 4 m from the building
Then, we have x=12-4=8 m
Substitute the values in above equation then, we get
Substitute the values then we get
Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.
