Answer:
The value of A is 5
Step-by-step explanation:
- The number is divisible by 3 if the sum of its digits is a number
divisible by 3
- Ex: 126 is divisible by 3 because the sum of its digits = 1 + 2 + 3 = 6
and 6 is divisible by 3
- The number is divisible by 5 if its ones digit is zero or 5
- Ex: 675 is divisible by 5 because its ones digit is 5
890 is divisible by 5 because its ones digit is 0
- We are looking for the value of A in the 4-digit number 3A5A which
makes the number divisible by both 3 and 5
∵ A is in the ones position
∴ A must be zero or 5
- Let us try A = 0
∵ A = 0
∴ The number is 3050
∵ The sum of the digits of the number = 3 + 0 + 5 + 0 = 8
∵ 8 is not divisible by 3
∴ 3050 is not divisible by both 3 and 5
∴ A can not be zero
- Let us try A = 5
∵ A = 5
∴ The number is 3555
∵ The sum of the digits of the number = 3 + 5 + 5 + 5 = 18
∵ 18 is divisible by 3
∴ 3555 is divisible by both 3 and 5
∴ A must be equal 5
* <em>The value of A is 5</em>
Answer:
Step-by-step explanation:
y = -2
4x - 3y = 18
4x - 3(-2) = 18
4x + 6 = 18
4x = 12
x = 3
(3, -2)
Answer:
y = 2x −5
Step-by-step explanation:
The slope is 2 and the Y intercept is -5 so the equation is:
y = 2x -5
I'll explain how to do the first one:-
y = cos-1(x2)
This can be described as ' a function of a function' x^2 is a function of x and cos-1(x^2) is a function of x^2.
We need to apply the chain rule.
Personally I find this easier to understand if i let u = x^2, so
If y = f(u) and u is a function of x then
dy/dx = dy/ du * du/dx
Here u = x^2 and y = cos-1(u)
du/dx = 2x
so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx
= -1 / √(1 - u^2) * 2x
= -2x / √(1 - u^2)
= -2x / √(1 - (x^2)^2)
= -2x / √(1 - x^4)
I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.
Answer:
Step-by-step explanation:
a) Maternal gene = 0.25; Paternal gene = 0.25
Probability having a birth defect = 0.25 X 0.25 = 0.625
b) P(A) = 0.30; P(B) = 0.70
P(A)*P(B) = 0.30 X 0.70 = 0.021
For marriage:
25%: P(A)*P(A)*0.25 = 0.09 X 0.25 = 0.0225
65%: P(B)*P(B)*0.65 = 0.049 X 0.65 = 0.03185
10%: P(A)*0.10 = 0.03 and P(B)*0.10 = 0.07
P(A)*P(B) = 0.03 X 0.07 = 0.0021
Probability of a defect birth in the next generation = 0.0225 + 0.03185 + 0.0021 = 0.05645
c) 1. P(A)*P(A) = 0.09
2. P(B)*P(B) = 0.049
3. P(A)*P(B) = 0.021
