Answer:
0 ; 2/9 ; 1
Step-by-step explanation:
In a roll of two dice ;
The sample space = (Number of faces on die)^number of dice rolled = 6^2 = 36
The total possible outcome = sample space = 36
The probability of an event (A) :
P(A) = number of required outcome / number of total possible outcomes
find the probability for total: a) 1,
P(total of 1)
Number of 1 total = 0
Hence, P(total of 1) = 0
b) 4 or 6;
Number of 4 total = 3
Number of 6 total = 5
3 /36 + 5 / 36 = 8/36 = 2/9
c) <13
P(total < 13)
Number of total < 13 = 36
36 / 36 = 1
i’ll try to help.
angle 3 and angle 1 are congruent angles, so they both equal 75°.
angle 1 and angle 5 are corresponding angles, so they both equal 75°. (it’s bc they’re positioned the same.
soooo the answer to that is 75° for angle 5. (not really great at explaining) also hope that the answer is right it should be.
Answer:
3
Step-by-step explanation:
as the hour goes up one the temperature rises by 3
Simplify √-y to √yi
3+ 2y = √yi
Square bot sides
(3 + 2y)^2 = -y
Expand
9 + 12y + 4y^2 = -y
Move all terms to one side
9 + 12y + 4y^2 + y = 0
Simplify 9 + 12y + 4y^2 + y to 9 + 13y + 4y^2
9 + 13y + 4y^2 = 0
Split the second term in 9 + 13y + 4y^2 into two terms
4y^2 + 9y + 4y + 9 = 0
Factor out common terms in the first two terms, then in the last two terms
y(4y + 9) + (4y + 9) = 0
Factor out the common term 4y + 9
(4y + 9)(y + 1) = 0
Solve for y
y = -9/4, -1
Check solution
when y = -9/4, the original equation; 3 + 2y = √-y does not hold true. We will drop y = -9/4 from the solution set.
Therefore,
<u>y = -1</u>
Answer
Q1. -8+3
solution:
= -8+3
= -5 .Ans
Rule : if the sign are different subtract and and keep the sign of larger value.
Q2. 7-(-14)
solution :
= 7-(-14)
= 7 + 14
= 21 .Ans
Rule: if the signs are same add and keep the sign same
Q3. 8× (-2)
solution:
= 8×-2
= -16. Ans
(solve bracket first)
Q4. (-39) ÷ (9)
solution:
= -39 ÷ 9
= -4 .Ans
Q5. 24 ÷ 8 × (7+3) ÷ 5
solution:
= 24 ÷ 8 × (10) ÷ 5
= 24÷ 8 × 10 ÷ 5
= 3 × 2
= 6
(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )
Q6. 8 (2x+9) - 2
solution:
= 8 (2x+9) -2
= 16x + 72 - 2
= 16x + 70 .Ans
Q7. 36y - 8y + 15 - 13
solution:
= 36y- 8y + 15 - 13
= 30y + 2 .Ans
Q8. 3÷ 4
solution :
= 3÷ 4
= 0.75 .Ans
Q9. 8/0
soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.
Q10. 18 /1
solution:
= 18/1
= 18 ÷ 1
= 18. Ans
Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.
Q11. 1 ÷ 9-3
solution:
= 1 ÷ 9-3
= 0.1111 - 3
= −2.8888 .Ans
(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )
