X^2 = 8^2 + 5^2
x^2 = 64 + 25
x^2 = 89
x =
<span>
<span>
<span>
9.4339811321
</span>
</span>
</span>
Answer:
5/12
Step-by-step explanation:
Since 1/2 is the same distance from zero and one, we can use it to judge whether a fraction is closer to 0 or 1.
Since 5/8 is greater than 4/8 which is 1/2, it is closer to 1.
Since 8/10 is greater than 5/10 which is 1/2, it is closer to 1.
Since 5/12 is less than 6/12 which is 1/2, it is closer to 0.
So our answer is C. 5/12
The answer:
the valid proof is <span>Amanda's.
</span><span>Statement Justification ∠1 + ∠4 = 180°
Definition of Supplementary
Angles ∠3 + ∠4 = 180°
Definition of Supplementary Angles
∠1 + ∠4 = ∠3 + ∠4
Transitive Property of Equality ∠1 ≅ ∠3 </span>
Given Information:
Mean time to finish 400 meter dash = μ = 65 seconds
Standard deviation to finish 400 meter dash = σ = 2.5 seconds
Confidence level = 95%
Required Information:
95% confidence interval = ?
Answer:

Step-by-step explanation:
In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.
The confidence interval for 95% confidence limit is given by

Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.




Therefore, the 95% confidence interval is between 60 to 70 seconds
What does it mean?
It means that we are 95% confident that the Carson's mean to finish 400 meter dash is within the interval of (60, 70).
X=5 is the answer because