Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: 
Step-by-step explanation:
We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.
This is the combination question.
The total combinations will be: 2^7=128
Now, finding number of ways we can get exactly 4 tiles:
We will use the formula:

in our given question, n= 7, k= 4
Putting values:

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: 
Keywords: Probability
Learn more about Probability at:
#learnwithBrainly
Answer:
If you have

The point (2,4) would be transformed to (1,1)
Step-by-step explanation:
If your compression is horizontal then the transformation you are making is the following

Therefore, if you have

The point (2,4) would be transformed to (1,1)
Answer:
4 cups
Step-by-step explanation:
To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"
Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.
Now, we have to recall that:
- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles
- also the sum of all the angles in any triangle is 180 degrees
Now, considering the isosceles triangle OQR, we have that:

Now, since the figure already shows that angle
Now, since we have established that the base angles
we can now solve the above equation for m<2 as follows:

Therefore, the correct answer is: option D
The experimental probability of letter E is: 3/25
Step-by-step explanation:
The given diagram is the number of outcomes for each letter is given
We have to find the total number of outcomes for finding the experimental probability of letter E
So,
Total outcomes = n(S) = 5+12+8+10+6+9 = 50
Number of outcomes for Letter E = n(E) = 6
So the experimental probability will be:

Hence,
The experimental probability of letter E is: 3/25
Keywords: Probability, experimental probability
Learn more about probability at:
#LearnwithBrainly