<span>6s^2 = 294
Solve for s
Solve for s:
6 s^2 = 294
Divide both sides by 6:
s^2 = 49
Take the square root of both sides:
Answer: s = 7 m
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Answer:On January 7, 1755, Georgia officially ceased to be a proprietary colony and became a crown colony. From 1732 until 1758, the minor civil divisions were districts and towns. In 1758, without Indian permission, the Province of Georgia was divided into eight parishes by the Act of the Assembly of Georgia on March 15.
Step-by-step explanation:
Combine like terms:
3 x 2 - 2x + 7 - 57 - 4x + 10
-34 - 6x
Answer:C. (77.29, 85.71)
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean test score of randomly selected students.
Number of sample, n = 25
Mean, u = 81.5
Standard deviation, s = 10.2
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
81.5 +/- 1.96 × 10.2/√25
= 81.5 +/- 1.96 × 2.04
= 81.5 +/- 3.9984
The lower end of the confidence interval is 81.5 - 3.9984 =77.5016
The upper end of the confidence interval is 81.5 + 3.9984 =85.4984
Therefore, the correct option is
C. (77.29, 85.71)
The answer is 48π units³ or 150.72 units³.
To find the volume of the cone, use the formula : <u>1/3 × πr²h</u>
We are given that r = 6 and h = 4.
Solving :
- V = 1/3 × π × 6² × 4
- V = 12 × 4 × π
- V = 48π units³ (in terms of π)
- V = 150.72 units³