What is the interquartile range of this data set 1,5, 12, 14, 29,45,48,61,72,84,96
Viefleur [7K]
There are 11 numbers
Lower quartile = 3rd number = 12
Upper quartile = 8th number = 72
Interquartile range = 72-12 = 60
Answer:
99.7%
Step-by-step explanation:
Empirical rule formula states that:
• 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.
From the question, we have mean of 98.18 F and a standard deviation of 0.65 F
The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 F is
μ - 3σ
= 98.18 - 3(0.65)
= 98.18 - 1.95
= 96.23 F
μ + 3σ.
98.18 + 3(0.65)
= 98.18 + 1.95
= 100.13 F
Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 F which is within 3 standard deviations of the mean is 99.7%
25 is 5 more than 20 which is 25% more since 5/20 = 1/4 = 25%
To check (1.25 * 20 = 25)
Answer:
(2, -4).
Step-by-step explanation:
x^2 - 4x
= (x - 2)^2 - 4.
So the vertex is at
(2, -4).
First we compute the distance between the center and the given point which is exactly the radius
r =
Now that we know the center and the radius, we can write the equation of a circle with given radius and center:
where (h,k) represent the coordinates of the center (3,7).
We substitute and obtain
