-16 = 8x/5......8x/5 is the same as 8/5(x)
-16 = (8/5)x...divide both sides by 8/5
-16 / (8/5) = x
-16 * 5/8 = x
-80/8 = x
-10 = x <===
To check for continuity at the edges of each piece, you need to consider the limit as
approaches the edges. For example,

has two pieces,
and
, both of which are continuous by themselves on the provided intervals. In order for
to be continuous everywhere, we need to have

By definition of
, we have
, and the limits are


The limits match, so
is continuous.
For the others: Each of the individual pieces of
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
Answer:
0.9586
Step-by-step explanation:
From the information given:
7 children out of every 1000 children suffer from DIPG
A screening test designed contains 98% sensitivity & 84% specificity.
Now, from above:
The probability that the children have DIPG is:


= (0.98 × 0.007) + 0.16( 1 - 0.007)
= 0.16574
So, the probability of not having DIPG now is:



= 0.9586
Answer:
325
Step-by-step explanation:
Total Tickets = 585
Let the adult tickets be = x
If 65 fewer student tickets were sold than adult tickets then Student tickets = x-65
Student Tickets + Adult Tickets = 585
x + (x-65) = 585
x + x - 65 = 585
2x - 65 = 585
2x = 585 + 65
2x = 650
2x/2 = 650/2
x = 325
Answered by Gauthmath
Answer: = 6x + 1
Step-by-step explanation: