Answer:
<u>1. The theoretical probability of rolling an even number and flipping heads is 25%.</u>
<u>2. The experimental probability of rolling a 1 and flipping tails is 15%.</u>
<u>3. The experimental probability of flipping heads is 40%.</u>
<u>4. I think around 7%.</u>
<u>5. I would expect to roll 3 and land on heads 8 times.</u>
Step-by-step explanation:
I am not sure about number 4.
Have a nice day!
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Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .
Answer:
(14, -2)
Step-by-step explanation:
To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

We can then simplify:
Given equation
Combine y terms
Add 2
Divide by -11
So, we now know the value of y = -2.
To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

Substitute for y
Distribute 8
Add 16
So, we now know the value of x = 14.
Therefore, we know a solution to the system of equations is (14, -2).
{-8, 0, 8, 16} is the range
Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation: