Answer:
a) 99.97%
b) 65%
Step-by-step explanation:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Mean of 98.35°F and a standard deviation of 0.64°F.
a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?
μ - 3σ
98.35 - 3(0.64)
= 96.43°F
μ + 3σ.
98.35 + 3(0.64)
= 100.27°F
The approximate percentage of healthy adults with body temperatures is 99.97%
b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?
within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
μ - σ
98.35 - (0.64)
= 97.71°F
μ + σ.
98.35 + (0.64)
= 98.99°F
Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%
Answer: The radius of the ball is 7 meters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Surface area of a sphere: 4 π r^2
Replacing with the value given:
615.75 = 4 π r^2
Solving for r (radius):
615.75 /4π= r^2
√(615.75 /4π) =r
r = 6.99 = 7m (rounded)
The radius of the ball is 7 meters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
k=3
Step-by-step explanation:
Answer:
The coordinates are 
and 
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where 
is the vector translation.
If we know that 
and 
, then the vector translation is:
Then, we determine the coordinates for Y' and Z':
The coordinates are and .
Answer:
B. 
Step-by-step explanation:
We know that the constant is $75. You only pay this once.
Whereas $0.55 you pay per mile. Which means that you will multiply 0.55 by how many miles you drive.
This means that the equation will look like:
Hope this helps! :)
