Answer:
x = 3
Step-by-step explanation:
since it's hitting 3 on the x axis and just goes up and down where 3 is, all the points have an x of 3 and nothing else. making the equation x = 3
The correct answer is a = 12
Item 4 Find the median, first quartile, third quartile, and interquartile range of the data. 132,127,106,140,158,135,129,138 med
Ket [755]
Answer:
133.5, 127.5, 139.5, 12
Step-by-step explanation:
order data:
106, 127, 129, 132, 135, 138, 140, 158
Median:
The middle number: (8+1)/2 = 4.5 between the 4&5 numbers
= (135-132)/2= 1.5
1.5 + 132 = 133.5
lower quartile (1st quartile):
(8+1)/4 = 2.25 between the 2&3 numbers
(129+127)/4=0.5
0.5+127 = 127.5
upper quartile(3rd quartile):
(8+1)/4 x3 = 6.75 between the 6&7 numbers
(140-138)/4 x3 = 1.5
1.5 + 138 =139.5
Interquartile range:
139.5-127.5= 12
hope this helps
<h3>
Answer: 133</h3>
=============================================================
Explanation:
The quickest way to get this answer is to add the angles given to get 87+46 = 133
This is through the use of the remote interior angle theorem.
Note how the angles 87 and 46 are interior, or inside the triangle. And also, they are not adjacent to the exterior angle we want to find. So that's where the "remote" portion comes in.
----------------
The slightly longer method involves letting x be the measure of the missing interior angle of the triangle.
The three interior angles add to 180
87+46+x = 180
133+x = 180
x = 180 - 133
x = 47
The missing interior angle of the triangle is 47 degrees.
Angle 1 is adjacent and supplementary to this 47 degree angle, so,
(angle1)+(47) = 180
angle1 = 180-47
angle1 = 133 degrees
This example helps confirm that the remote interior angle theorem is correct.
