Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of donuts consumed in a month = y
Age = x
Regression equation obtained :
y=47-1.36x
Meaning of slope of the regression line ;
Comparing the regression equation obtained with the general equation of a linear regression line ;
y = mx + c; where m = slope of the regression line
Hence, the value of slope in the equation is = - 1.36
Thus, the slope can be interpreted as ; The number of donuts consumed in a month is expected to decrease by 1.36 for per(1) increase in age x of consumer.
Answer
39 bills of 1$
16 bills of 10$
Step-by-step explanation:
x-nr of $1
y-nr of $10
x*1+y*10=199
x+y=55 , x=55-y
so I use the substitution method
(55-y)*1+10y=199
55+10y-y=199
-55 -55
9y=144
y=144/9
y=16
so x=55-16
x=39
verify 16*10+39*1=160+39=199
Answer:
ST = 15 cm
Step-by-step explanation:
find BC first by adding four other sides and subtracting from 36.8
sum of 4 sides is 30.8, so BC = 6
Now find ST by creating a proportion from corresponding sides:
BC / ST = DE / UV
6 / ST = 13.2 / 33
Cross-multiply:
13.2ST = 198
ST = 198/13.2
ST = 15
Answer:
The rule for given sequence is: a_n = -27+16n
And the 100th term is: 1573
Step-by-step explanation:
Given sequence is:
-11, 5, 21, 37, 53, ...
Here
First of all, we have to find if this is an arithmetic sequence
For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence
So,
As the common difference is same, the sequence is an arithmetic sequence
General rule for arithmetic sequence is:
Putting values
For 100th term,
Putting n=100
Hence,
The rule for given sequence is: a_n = -27+16n
And the 100th term is: 1573
