Answer:
Statistic
Step-by-step explanation:
Since, a characteristic of a sample is called statistic. It is used to estimate the value of a population parameter and can be computed from the sample.
Here, the sample is 104 children,
For which the average number of hours of sleep per night was 9.46 hours,
∵ 9.46 is the number that can be computed from the sample of 97 children.
Hence, the number 9.46 is a Statistic
Answer
1 2/7 and 4 2/4
Step-by-step explanation:
19/7-10/7=1 2/7 and 5/4 + 7/4 + 6/4 = 4 2/4
The values of the trigonometry ratios are:
- cos α = - 5/13 and cot α = 5/12
- cot α = -5/12 and sec α = 13/5
<h3>How to solve the
trigonometry ratios?</h3>
<u>1: sin α = -12/13 and tan α > 0, find cos α and cot α</u>
Because tan α > 0, then it means that cos α and sin α are negative
So, we have:
sin²α + cos²α = 1
Substitute sin α = -12/13
(-12/13)² + cos²α = 1
This gives
cos²α = 1 - (-12/13)²
Evaluate the squares
cos²α = 1 - 144/169
Evaluate the difference
cos²α = 25/169
Take the square root of both sides
cos α = - 5/13
The cotangent ratio is represented as:
cot α = cos α/sin α
This gives
cot α = (-5/13)/(-12/13)
Evaluate
cot α = 5/12
Hence, cos α = - 5/13 and cot α = 5/12
<u>2: tan α = -12/5 for α in quadrant IV, find sec α and cot α</u>
Because α is in quadrant IV, then it means that sec α is positive
cot α = 1/tan α
This gives
cot α = 1/(-12/5)
Evaluate
cot α = -5/12
Also, we have:
sec²α = 1 + tan²α
Substitute tan α = -12/5
sec²α = 1 + (-12/5)²
Evaluate the squares
sec²α = 1 + 144/25
Evaluate the sum
sec²α = 169/25
Take the square root of both sides
sec α = 13/5
Hence, cot α = -5/12 and sec α = 13/5
Read more about trigonometry ratios at:
brainly.com/question/11967894
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Answer:
96 blocks
Step-by-step explanation:
To work, Samuel travels 14 blocks (by bike) plus 34 blocks (by bus).
14+34 = 48 blocks
He travels the same way home (48+48= 96 blocks)
Samuel travels 96 blocks each day.
