240 ft is the total area.
Step-by-step explanation:
Okay so you need to find the area of the triangle, and then the rectangle, and then add them together. To do this, we will start with the rectangle because it is the easiest: You need to multiply the legnth by the width (in this case 8ft x 24ft) which gives us 192ft for the rectangle. For a triangle, you multiply the legnth by the width and then divide it by 2: 4x24=96 and 96 divided by 2 is 48 so the triangle is equal to 48ft. Then we will add the two area's, to get 240. (48+192=240)
Use the Pythagorean Theorm for right triangles where the squares of the two legs equal the square of the hypotenuse.
Plug in the known leg and hypotenuse.
Simplify by squaring.
Isolate b by square rooting both sides.
The result is rounded
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Number of Home alone movies (X)
Watched probability, p(x)
X : ___ 0 ____ 1 ____ 2 ____ 3 ___ 4 ___ 5
P(x) : _0.15 __ 0.42 __0.32 __? ___0.02 _0.01
a. Write the event "the student has seen 3 Home Alone movies" using probability notation. Then find this probability.
P(x = 3)
Since Σp(x) = 1
P(x =3) = 1 - (p(0)+p(1)+p(2)+p(4)+p(5))
P(x = 3) = 1 - (0.15 + 0.42 + 0.32 + 0.02 + 0.01)
P(x = 3) = 1 - 0.92
P(x = 3) = 0.08
b. Explain in words what P(X > 3) means. What is this probability?
P(x > 3) is the probability they a randomly chosen student has watched more than 3 home alone movies.
P(x > 3) = p(4) + p(5)
P( x > 3) = 0.02 + 0.01 = 0.04
d. Calculate and interpret the expected value of X.
E(X) = [Σ(X * p(x)]
(0*0.15) + (1*0.42) + (2*0.32) + (3*0.08) + (4*0.02) + (5*0.01) = 1.43
The avereage number of home alone movies watched is 1.43
Answer: Q
Step-by-step explanation: the 23 thing simplified would be 4 and a bunch of decimals. Q is the answer on four, and the 23 thing is closest to four, so Q would be the correct answer.