Answer:
P(1) = 0.31
Step-by-step explanation:
The total of all probabilities must be 1, so the missing number is ...
1 - 0.33 -0.14 -0.22 = 0.31
Answer:
40 square metres
Step-by-step explanation:
The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.
This width is also the base of the triangle, so b = 8.
Now plug these values into the equation:
A = (1/2) * b * h
A = (1/2) * 8 * 10 = (1/2) * 80 = 40
The area is 40 square metres.
Answer:
c. (-3, 1)
Step-by-step explanation:
plug in the numbers on the equation
2(-3)+5(1)<1
-6+5<1
-1<1
Domain is represented by the x-values of each coordinate indicated by the points on the graph.
Domain (-4, -2, 0, 2)
Range is represented by the y-values of each coordinate indicated by the points on the graph.
Range (-2, -1, 1, 3)
1. 3x=18; you divide each side by 3 because you want to get the x by itself. When you do that, you get x=6.
2. Y+4=11; you subtract each side by 4 because you want to get the y by itself so you do the opposite of that is in front of the +4 (-4). When you do that, you get y=7.
3. W/5=6; you multiply each side by 5 because to get rid of the 5, you multiply(or do the opposite(inverse)) to get the w by itself. That would leave you with w=30.
4. 135=p+21; you subtract each side by 21 to get 114=p.
5. 2m-3=13; the easiest thing to do is to add 3 to both sides to get 2m=16. After that divide both sides by 2 to get m=8.
6. 3/4+a=2 1/4; if it's easier, turn the fractions into a decimal. Subtract both sides by 3/4 to get 1 1/2. a=1 1/2