<h3>
Answer: 5</h3>
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Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
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Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
Answer: 
Step-by-step explanation:
We know that the general form of the exponential decay formula is
, where y is final amount remaining after t time, A is the original amount and r is the rate of decay
Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. 
Hence, the ratio of remaining since the nuclear accident is
I believe the answer is A, the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and the smallest. Range gives an overall spread of data from the lowest to the largest and thus can be influenced by anomalies, standard deviation on the other hand, takes into account the variable data/spread about the mean and allows for statistical use so inferences can be made.<span />
Step-by-step explanation:
there should 90 value
the value of triangle is 90
Answer:
The 2 box-and-whisker plot is the correct one.
Step-by-step explanation:
The first step you need to do is write the numbers from least to greatest.
5, 7, 8, 10, 13, 14, 17, 17, 21. 5 and 21 will be the end points.
To make the box we need to find the median first. All you have to do is pick the middle number and it is 13. That just leaves box-and-whisker plots 2 and 3.
To find the first and third quartile, you need to take the other numbers from 13 to the left (10+8+7+5) and add them up then divide by 4 to get 7.5 and that is the first quartile.
To find the third quartile, you will go from 13 to the right (14+17+17+21) and divide by 4 to get 17.25.
This equals the 2nd box-and-whisker plot.
