Answer:
Option 2 - Approximately 24–36 pounds
Step-by-step explanation:
Given : A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed.
To find : What range of weights would 99.7% of the dogs have?
Solution :
The range of 99.7% will lie between the mean ± 3 standard deviations.
We have given,
Mean weight of Eskimo dogs is
Standard deviation of Eskimo dogs is
The range of weights would 99.7% of the dogs have,





Therefore, The range is approximately, 24 - 36 pounds.
So, Option 2 is correct.
Answer:

Step-by-step explanation:
The equation
represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
- If the discriminant is positive, or greater than 0, the quadratic has two solutions
- If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).
- If the discriminant is negative, or less than 0, the quadratic has zero solutions
In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have
.
Answer:
3 3
Step-by-step explanation:
Here, Alicia is wrong because on evaluating
we get
which is of course less than 6. Zara's calculation could be;
![3 ^{1.4} \\ \\ 3 ^{ \frac{7}{5} } \\ \\ \sqrt[5]{3 ^{7} } \\ \\ 3 \sqrt[5]{3 ^{2} } \\ \\ 3 \sqrt[5]{9} \\ \\ = 4.6554](https://tex.z-dn.net/?f=3%20%5E%7B1.4%7D%20%20%5C%5C%20%20%5C%5C%203%20%5E%7B%20%5Cfrac%7B7%7D%7B5%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Csqrt%5B5%5D%7B3%20%5E%7B7%7D%20%7D%20%20%20%5C%5C%20%20%5C%5C%203%20%5Csqrt%5B5%5D%7B3%20%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%5C%5C%203%20%5Csqrt%5B5%5D%7B9%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%204.6554)
<h3>
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F (-3) = -3(-3) -4
F(-3) = 9 - 4
F(-3) = 5
(5,-3) is the ordered pair