Answer:
4.39%
Step-by-step explanation:
There are no marking to identify the coins, so the order is not important. Since the order not important we use combination instead of permutation.
A coin have 2 possible outcome, head or tails. Assuming the coin is fair each outcome will be 50% or 0.5 chance. If heads= A and tails =B, then the probability of 2 pennies will be:
P(A=2) = 2C10 * A^2 * B^(10-2)
P(A=2) = 10*9/2 * 0.5^2 * 0.5^8
P(A=2) = 0.0439= 4.39%
Hi there :-)
The formula of the simple interest is
I=prt
your question ask to find r which is interest rate you do that by dividing each side by (pt) to get
R=I÷pt
Now solve to get the interest rate
R=562.5÷(1,500×5)
R=0.075×100 multiply by 100 to get it as percentage
R=7.5%
Hope it helps:-)
Answer:
1/3
Step-by-step explanation:
Well to find this answer, I assume that you want me to help with finding the area. Let's start with the area of the stage. Off of the info you gave me, I assume that the stage and pit are rectangles. So to find the area of the rectangles, we need to use the area formula A=l×w. Plug in the numbers into the formula and we get A=10×5. So the area of the stage is 50 yards. Now do the same thing for the pit, and we get A=4×2. So the pit's area is 8 yards. Add 50 and 8 to get the total area and we get 58. So the stage and the orchestra pit take up 58 yards of floor space. Hope I helped!
Answer:
2y -x + 6 = 0
Step-by-step explanation:
Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .
The given equation is ,
Firstly convert this into slope intercept form , to find out the slope of the line.
Now on comparing it to slope intercept form which is y = mx + c , we have ,
And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,
Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,
Now on substituting the respective values we have,
