An international data plan charges $10.00
1 answer:
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Answer:
f(x)=x^2+9x-10
Step-by-step explanation:
<u>Standard Form of Quadratic Function</u>
The standard form of a quadratic function is:
where a,b, and c are constants.
The factored form of a quadratic equation is:
Where and
are the roots or zeros of f, and a is constant.
We know the zeros of the function are 1 and -10. The function is:
Operating:
Joining like terms:
Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:
Answer:
The mean water hardness of lakes in Kansas is 425 mg/L or greater.
Step-by-step explanation:
We are given the following data set:
346, 496, 352, 378, 315, 420, 485, 446, 479, 422, 494, 289, 436, 516, 615, 491, 360, 385, 500, 558, 381, 303, 434, 562, 496
Formula:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 175413.76
Population mean, μ = 425 mg/L
Sample mean, = 438.36
Sample size, n = 25
Alpha, α = 0.05
Sample standard deviation, s = 85.49
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
The calculated t-statistic is greater than the critical value, we fail to reject the null hypothesis and accept it.
Thus, the mean water hardness of lakes in Kansas is 425 mg/L or greater.