Answer:
Number of multiple-choice questions = x = 35 questions
Number of open-ended questions = y = 3 questions
Step-by-step explanation:
Let
Number of multiple-choice questions = x
Number of open-ended questions = y
x + y = 38 (1)
4x + 20y = 200 (2)
From (1)
x = 38 - y
Substitute x = 38 - y into (2)
4x + 20y = 200
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
y = 48/16
y = 3
Substitute y = 3 into (1)
x + y = 38
x + 3 = 38
x = 38 - 3
x = 35
Number of multiple-choice questions = x = 35 questions
Number of open-ended questions = y = 3 questions
The mean absolute deviation, rounded to the nearest hundredth, is: 11.67 calories.
<h3>How to Find the Mean Absolute Deviation?</h3>
To find the mean absolute deviation, find the mean of the data then find the average distance of each data point from the mean.
Given the data, 61, 42, 52, 27, 35, 23:
Mean = (61 + 42 + 52 + 27 + 35 + 23)/6
Mean = 240/6
Mean = 40
Mean absolute deviation = [(61 - 40) + ( 42 - 40) + ( 52 - 40) + ( 27 - 40) + ( 35 - 40) + ( 23 - 40) 6 = (21) + (2) + (12) + (13) + (5) + (17)] / 6 = 70/6
Mean Absolute Deviation = 11.67 calories.
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Answer:
See below
Step-by-step explanation:
Find angle A by subtracting the others from 180
180 - 81 - 17 = 82
Put in order from least to greatest
Angles: B, C, A
Then the opposite sides will follow the same pattern, so they are
Sides: AC, AB, BC
Answer:
y = 
x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = , hence
y = x + c ← is the partial equation
To find c substitute (- 10, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = x + 8
Answer:
.38
Step-by-step explanation:
Given that they have green eyes, we only look at the green row
Total is 3+5+5 = 13
Red hair is 5
P( red hair ) red / total = 5/13 =.384615385
