The probability of getting an even number, knowing that the number is less than 4, in the rolling of a single die is <u>1/3</u>.
The probability of an event = The number of favorable outcomes to the event/The total number of possible outcomes.
In the question, we are asked to find the probability of getting an even number, considering rolling a single die, where we get the number d of the die, and the number is less than 4 (d < 4).
For the number d, the total number of possible outcomes, given d is less than 4 in the rolling of a single die is 3 {viz. 1, 2, and 3}.
For the event of getting an even number, from all the possible outcomes, the number of favorable outcomes is 1 {viz. 2}.
Thus, the probability of getting an even number, knowing that the number is less than 4, in the rolling of a single die is <u>1/3</u>.
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Answer:
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is 10.
With m∠x as the reference angle,
the adjacent side of the right angle triangle is 6
the opposite side of the right angle triangle is the unknown side.
To determine x, we would apply
the Cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cosx = 6/10 = 0.6
x = Cos^-1(0.6)
x = 53.1° to the nearest tenth.
Answer:
x, y = 7, 1
Step-by-step explanation:
x+6y=13 ............ (i)
2x+y=15 ........... (ii)
We will apply substitute method.
From equation (i), we can get,
x+6y=13
or, x = 13 - 6y .......... (iii)
Putting the value of x in equation (ii), we can get,
2x+y=15
or, 2 × (13 - 6y) + y = 15
or, 26 - 12 y + y = 15 [multiplying]
or, -11 y = 15 - 26 [Subtracting 26 from both the sides]
or, -11 y = -11
or, [(-11 y) ÷ (-11)] = [(-11) ÷ (-11)] [Dividing both the sides by -11]
or, y = 1
Therefore, the value of y = 1
Putting y = 1 in equation (iii), we get,
x = 13 - 6y
or, x = 13 - 6 × 1
or, x = 13 - 6
or, x = 7
Therefore, the value of x = 7.
Answer: x, y = 7, 1
A ^ 3b ^ -2 / ab ^ -4, a ≠ 0, b ≠ 0
First we rewrite the expression respecting the properties of the exponents.
b ^ -2 = 1 / b ^ 2
1 / b ^ -4 = b ^ 4
We have then:
a ^ 3b ^ -2 / ab ^ -4
a ^ 3b ^ 4 / ab ^ 2
answer:
An expression using positive exponents is
D a^3b^4/ab^2
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Answer:
x=0
Step-by-step explanation:
