Because this is 4 sided, it is 360°(in total)
The shape is parallel on 2 sides(shown by the red arrows), so (5x)° = 90°
5x = 90
x = 18°
You can add all the angles together and set it equal to 360°
90° + (5x)° + (5(y+11))° + (4y-10)° = 360°
Since you know 5x is 90°, you can plug it in
90° + 90° + (5(y+11))° + (4y-10)° = 360°
180° + (5(y+11))° + (4y-10)° = 360° Subtract 180° on both sides
(5(y+11))° + (4y-10)° = 180°
5y + 55° + 4y - 10° = 180°
9y + 45° = 180°
9y = 135°
y = 15°
x = 18°, y = 15°
Answer:
0B
Step-by-step explanation:
In a box-and-whisker plot the median is shown with a line inside the box.
The box is placed on the top of a numbered line, then you can read the value correspondant to the line that indicates the median.
In this case one of the boxes has a value less than 65 and that is the answer. It is the option c, from the answer choices, which shows a median of 60.
There are 24 possible answers, 6 are correct answers and 18 are incorrect answers. By use of the hypergeometric distribution the probabilities of each possible number of randomly selected correct answers can be found, as follows:
P(0) = 0.1379, P(1) = 0.3819, P(2) = 0.341, P(3) = 0.1213, P(4) = 0.017, P(5) = 0.0008, P(6) = 0.000007.
The expected or mean number of correct answers is found from:
The answer is: 1.4998