Answer:
jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8
Step-by-step explanation:
From the graph we can see that there is a whole in the graph at x=-2.
This is referred to as a point discontinuity.
Similarly, there is point discontinuity at x=8.
We can see that both one sided limits at these points are equal but the function is not defined at these points.
At x=0, there is a jump discontinuity. Both one-sided limits exist but are not equal.
If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%
Answer:1,4,5,2
Step-by-step explanation:
Answer:
Therefore
, A=184
Step-by-step explanation:
Given function is

where T(t) is the temperature in °C and t is time in minute and A and k are constants.
She noticed that after 18 minutes the temperature of the pie is 138°C
Putting T(t) =138°C and t= 18 minutes


.....(1)
Again after 36 minutes it is 184°C
Putting T(t) =184°C and t= 36 minutes


.......(2)
Dividing (2) by (1)


Taking ln both sides




Putting the value k in equation (1)





⇒A= 184.
Therefore
, A=184
Answer: 0.129
Step-by-step explanation:
Let
denotes a random variable that represents the mean weight of babies born.
Population mean : 
Standard deviation: 
Sample size = 83
Now, the probability that the mean weight of the sample babies would differ from the population mean by greater than 54 grams will be :

hence, the required probability = 0.129