Answer:
y = √{(a - x)/2b}
Step-by-step explanation:
x=a-2by²
2by² = a - x
divide through by 2b
y² = (a - x)/2b
y = √{(a - x)/2b}
Answer:
51 rows
Step-by-step explanation:
Given
Length of bookmark = 20cm
Distance between beads = 4mm
Required
Number of rows of beads
First, the distance between the rows of beads must be converted to cm
if 1mm = 0.1cm
then
4mm = 4*0.1cm
4mm = 0.4 cm
This means that each row of beads is placed at 0.4 cm mark.
The distance between each row follows an arithmetic progression and it can be solved as follows;

Where
(The last term)
(The first term)
(The distance between each row of beads)
n = ?? (number of rows)
Solving for n; we have the following;
becomes


DIvide both sides by 0.4



Add 1 to both sides


Hence, the number of rows of beads is 51
Answer:
The probability that her internet service will not be broken for five days in a row is 243/1024
Step-by-step explanation:
Here, we want to calculate the probability that her internet service is not broken for five days in a row
Let the event that her internet will be broken be B and the event that her internet will not be broken be N
P(B ) = 25% = 0.25
P(N) = 1-0.25 = 0.75 = 3/4
Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)
= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024
24/7 .........................................................................................