What is the area and perimeter of a triangle with base of 10cm, height of 8cm, and third side of 6cm
1 answer:
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Answer:
Step-by-step explanation:
Apply absolute rule:
Multiply:
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Answer:
8 cm
Step-by-step explanation:
(See the image attached for details)
- The blue segment measures 15 cm
- The green segment measures 7 cm
- The green and yellow segment when added form the blue segment
- So: ? + 7 = 15
Solve:
? + 7 = 15
Subtract 7 on both sides:
? + 7 = 15
-7 -7
? = 8 cm
Therefore, the yellow segment, or the missing side length, measures 8 cm.
Answer:
a. CI=[128.79,146.41]
b. CI=[122.81,152.39]
c. As the confidence level increases, the interval becomes wider.
Step-by-step explanation:
a. -Given the sample mean is 137.6 and the standard deviation is 20.60.
-The confidence intervals can be constructed using the formula;
where:
is the sample standard deviation
is the s value of the desired confidence interval
we then calculate our confidence interval as:
Hence, the 95% confidence interval is between 128.79 and 146.41
b. -Given the sample mean is 137.6 and the standard deviation is 20.60.
-The confidence intervals can be constructed using the formula in a above;
Hence, the variable's 99% confidence interval is between 122.81 and 152.39
c. -Increasing the confidence has an increasing effect on the margin of error.
-Since, the sample size is particularly small, a wider confidence interval is necessary to increase the margin of error.
-The 99% Confidence interval is the most appropriate to use in such a case.