If a sample consists of 1900 scores from sample no. 476th will be above the first quartile.
<h3>What are mean, median, and mode?</h3>
The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
Given a sample consisting of 1900 scores.
∴ The no. of samples that would be above quartile is the next sample from (1/4)th of 1900 which is,
= (1/4)×1900 + 1.
= 475 + 1.
= 476.
So from sample no. 476th will be above the first quartile.
learn more about data samples here :
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Distribute on the left
-10-12m+16=-90
Combine like terms
-12m+6=-90
Subtract 6 from both sides
-12m=-96
Divide both sides by -12
m=8
Final answer: m=8
Answer:
1. a. Q° = 95°
b. a = 20.3; b = 19.3
2. p = 36; q = 14.4
Step-by-step explanation:
Question 1:
Recall: The Exterior Angle Theorem of a Triangle states that the size of the exterior angle of a triangle equals the sum of the two sizes of the two opposite angles of the triangle.
a. Based on the theorem,
Q° = 41° + 54° = 95°
b.
✔️122° = 4a + 2a (exterior angle theorem)
122 = 6a
Divide both sides by 6
122/6 = a
a = 20.3
✔️122° + 3b = 180° (angles on a straight line)
3b = 180 - 122
3b = 58
b = 58/3
b = 19.3
Question 2:
Recall: Opposite angles of a parallelogram are equal while adjacent/consecutive angles are supplementary.
✔️2p + 3p = 180° (adjacent angles)
5p = 180
p = 180/5
p = 36
✔️2p = 5q (opposite angles)
Plug in the value of p
2(36) = 5q
72 = 5q
72/5 = q
q = 14.4
Answer:
width: 8.5
length: 4
Step-by-step explanation:
width: x
length: 2x - 13
area = length * width
34 = (2x - 13)x
34 = 2x² - 13x
2x² - 13x - 34 = 0
(2x - 17)(x + 2) = 0
2x - 17 = 0
2x = 17
x = 8.5
x + 2 = 0
x = -2 width cannot be negative so discard this
width: x = 8.5
length: 2x - 13 = 2(8.5) - 13 = 4
Answer:22 hopes this helps
Step-by-step explanation:
so here the problem look at the numbers -8 and 14
8 is no long a a negative it’s positive
So now you got 8 + 14 = 22