Answer:
The measure of the angle R is equal to the measure of angle T
Step-by-step explanation:
Answer:
x intercepts -sqrt(5), + sqrt(5)
y intercept -5
Step-by-step explanation:
y = x^2 -5
to find the x intercept set y=0 and solve for x
0 = x^2-5
add 5 to each side
5 = x^2
take the square root of each side
+- sqrt(5) = sqrt(x^2)
x = +-sqrt(5) there are 2 x intercepts since it is a quadratic
to find the y intercept set x=0 and solve for y
y = 0-5
y = -5
Answer:
52 ft
Step-by-step explanation:
area of a square is l x w. all sides are equal so the l = w
A = 169 ft^2 so each side is the square root of 169 which is 13 ft
perimeter of the floor would be all four sides added or length of 1 side multiplied by 4 since they are all equal
Perimeter = 13ft × 4 = 52 ft
so:
B because the 2 is in the hundredths place and then you look behind the 2 which is a 5.
If its five or more you go up and 4 or less you go down, which means that you add one to the 2 which is 3 and you get rid of anything behind the 3 that was the originally.
27.034%
Let's define the function P(x) for the probability of getting a parking space exactly x times over a 9 month period. it would be:
P(x) = (0.3^x)(0.7^(9-x))*9!/(x!(9-x)!)
Let me explain the above. The raising of (0.3^x)(0.7^(9-x)) is the probability of getting exactly x successes and 9-x failures. Then we shuffle them in the 9! possible arrangements. But since we can't tell the differences between successes, we divide by the x! different ways of arranging the successes. And since we can't distinguish between the different failures, we divide by the (9-x)! different ways of arranging those failures as well. So P(4) = 0.171532242 meaning that there's a 17.153% chance of getting a parking space exactly 4 times.
Now all we need to do is calculate the sum of P(x) for x ranging from 4 to 9.
So
P(4) = 0.171532242
P(5) = 0.073513818
P(6) = 0.021003948
P(7) = 0.003857868
P(8) = 0.000413343
P(9) = 0.000019683
And
0.171532242 + 0.073513818 + 0.021003948 + 0.003857868 + 0.000413343
+ 0.000019683 = 0.270340902
So the probability of getting a parking space at least four out of the nine months is 27.034%
