Let x be the digit in the tens place and y be the digit in the ones place.
so, the digit is xy
<span>
The ten's digit of a two digit number is 1 more than 4 times the units' digit.
</span>x = 4y + 1
<span>63 is subtracted from the number, the order of the digits is reversed
</span>10x + y - 63 = 10y + x
9x - 9y = 63
x = 4y + 1 ------------ (1)
9x - 9y = 63 ---------- (2)
Sub (1) into (2)
9(4y + 1) - 9y = 63
36y + 9 - 9y = 63
27y = 63 - 9
27y = 54
y = 2 ------- sub into (1)
x = 4(2) + 1 = 9
x = 9, y = 2
The number is 92
Y-intercept= (0,2)
x-intercept= (3,0)
Why?
The x-intercept is when y is 0 and y-intercept is when x is 0.
Answer:
The formula to find the perimeter of a rectangle is 2L + 2W.
Here L=5 and W=2; hence:
2*5+2*2
=14
The perimeter is 14.
The formula to find the area of a rectangle is length × width; hence:
5*2=10
The area of the rectangle is 10.
You need to use the binomial probability formula:

where:
n = total number of events = 10
k = number of events we are testing = 6
p = probability of event happening = 0.5

= 210×0.015625×0.0625
= 0.205078
Hence, the probability of getting 6 boys out of 10 births is
p = 0.205.