Answer:
landing on a shaded portion and landing on an even number
; landing on a shaded portion and landing on a number greater than 3
; landing on an unshaded portion and landing on an odd number
; and landing on an unshaded portion and landing on a number less than 2.
Explanation:
Mutually exclusive events are events that cannot occur at the same time. Our spinner has two grey sections, on 1 and 3; and two white sections, on 2 and 4.
This means that the spinner cannot land on a shaded (grey) portion and land on an even number at the same time, since the grey sections are numbered 2 and 4, both of which are even numbers.
The spinner also cannot land on a shaded (grey) portion and land on a number greater than 3 at the same time; this is because the only number greater than 3 on the spinner is 4, which is a white portion.
The spinner cannot land on an unshaded (white) portion and land on an odd number, since the white sections are labeled 2 and 4, which are both even.
The only number on the spinner less than 2 is 1, which is grey; this means the spinner cannot land on a number less than 2 and an unshaded (white) portion at the same time.
Answer:
1992.38
Step-by-step explanation:
The mean, or average, of a set of data points is found by adding all the values together and dividing by the number of values.
Sum:
1911.56 + 1956.69 + 1903.16 + 1958.82 + 1910.87 + 1983.14 + 2014.12 + 2023.86 + 2057.26 + 2034.21 + 2087.73 + 2067.14 = 23908.56
Divide:
There are 12 numbers, so divide 23908.56 by 12:
23908.56 / 12 = 1992.38
The average is thus 1992.38.
<em>~ an aesthetics lover</em>
Answer:
x = 50
Step-by-step explanation:
101 + (x + 29) = 180
130 + x = 180
x = 180 - 130
x = 50
Answer:
Number of large boxes: 55
Number of small boxes:65
Step-by-step explanation:
Let be "l" the number of large boxes and "s" the number of small boxes.
Set up a system of equations:
Use the methof of elimination. Mulitply the first equation by -60 and add both equations. Then solve for "s":
Substitute s=65 into any of the original equations and solve for "l":
Answer:
7 Units.
Step-by-step explanation:
First of all, you could just count the units, but that's not really too effective. Otherwise, you could start from the coordinates of the "C" point, and see how it's at -Y = -5. Therefore, to get to the line separating the two points, you would have to subtract 5 from 5 to get to the line. Now, you look at point "A". It's Y coordinate is 2. Therefore, adding 5 and 2 together gives you 7 units.
