Answer:
Point B is the result of a 90° counterclockwise rotation.
Step-by-step explanation:
Answer:
Step-by-step explanation: write the equation in the form of a proportion
2 1/2 is to 4 as something is to 3
2 1/2 / 4 = x/3
Then, cross multiply 2 1/2 x 3 or
5/2 x 3/1 = 15/2
Next cross multiply 4•X= 4X
Write as 4X = 15/2
Divide both sides by 4.
4X/ 4 = 15/2 /4
x = 15/2÷ 4/1
Divide by changing the sign to multiplication and inverting 4/1 to 1/4 like this:. 15/2. × 1/4= 15/8
Finally, 15/8 simplifies to 1 7/8 cups
Your answer is C. because the paper is open like a kite or planes wings so it will float. With the crumpled paper it will fall instantly because its not open and has more mass
Answer:
6.25%
Step-by-step explanation:
Each time you flip a coin, there is a 50% probability of it landing on tails. Each time you flip the coin, the 50% gets multiplied by 
.
to the power of <em>4 </em>is 0.0625. 0.0625 in percentage form is of course 6.25%
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
