PUT THIS SET IN ORDER FROM LEAST TO GREATEST:
10, 16, 28, 45, 55, 63, 75, 84
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MEDIAN: Find the number in the middle of the set.
10, 16, 28, 45, 55, 63, 75, 84
There cannot be two medians, so you find the number between 45 & 55.
MEDIAN = 50
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MEAN: Find the average by adding up all of the numbers and dividing them by how many numbers there are.
10 + 16 + 28 + 45 + 55 + 63 + 75 + 84 = 376
376/8 = 47
MEAN = 47
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MODE: The number that occurs most often. If no number repeats, there's no mode.
THERE IS NO MODE
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RANGE: The difference between the largest and smallest value in the set. Subtract the largest (84) and smallest (10) value.
84 - 10 = 74
RANGE = 74
Step-by-step explanation:
m<POR = 90°
=>m<POQ+m<QOR=90°
=>x+37°=90°
x=90°-37°=53°
option B
Answer:
x=22°, y=50°, z=108°
Step-by-step explanation:
x=22°(alternate angles are equal)
y=50°(angle sum in triangle is 180°)
z=108°
Answer:
92% Confidence Interval = [8.515, 8.605]
Step-by-step explanation:
The number of samples given is 15,this less than 30, hence, we use the t score confidence Interval
= Mean ± t score × Standard deviation/√n
Mean = 8.56 ounces
Standard deviation = 0.09 ounces
n = 15
We find the degrees of freedom = n - 1
= 15 - 1 = 14
Using the T score table
T score for 92% confidence interval with degrees of freedom 14
= 1.8875
Hence:
Confidence Interval =
= 8.56 ± 1.8875 × 0.09/√15
= 8.56 ± 0.0454010035
Confidence Interval
8.56 - 0.0454010035
= 8.5145989965
≈ 8.515
8.56 + 0.0454010035
= 8.6054010035
≈ 8.605
92% Confidence Interval = [8.515, 8.605]
sin α = opposite leg/ hypotenuse
For ΔABC,
sin A = |BC|/|AB|
sin A = 12/37