A sailboat with a sick passenger abroad is following a parabolic path given by the equation y=-x^{2}+4x+5. The boat's captain se
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Answer:
There is sufficient evidence to conclude that child booster seats meet the specific requirement.
Step-by-step explanation:
Sample: 697, 759, 1266, 621, 569, 432
Formula:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 415616
We are given the following in the question:
Population mean, μ = 1000 hic
Sample mean, = 724
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, s = 288.31
First, we design the null and the alternate hypothesis
We use one-tailed(left) t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Calculation the p-value from table,
P-value = 0.033
Since,
Since, the p value is lower than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
We conclude that the measurement is less than 1000 hic.
Thus, there is sufficient evidence to conclude that child booster seats meet the specific requirement.
To solve this we just need a polynomial where the roots can be -10 so in (x -/+ N)
The Ns must equal -10
We also know there must be at least a degree of 2 or higher, so we want X^3 or 3 roots. Given this we can construct our function;
H(x) = (X-2)(X+5)(X+1)
1*5*-2 = -10
So multiplying that out to get the standard form
X^2-2X+5X-10(X+1)
Simplifying to X^2 +3X-10(X+1)
X^3+3X^2-10X + X^2 +3X -10
Which simplifies to:
X^3+4X^2-7X-10
And below the desmos shows the y-int at (0,-10)
The Ns must equal -10
We also know there must be at least a degree of 2 or higher, so we want X^3 or 3 roots. Given this we can construct our function;
H(x) = (X-2)(X+5)(X+1)
1*5*-2 = -10
So multiplying that out to get the standard form
X^2-2X+5X-10(X+1)
Simplifying to X^2 +3X-10(X+1)
X^3+3X^2-10X + X^2 +3X -10
Which simplifies to:
X^3+4X^2-7X-10
And below the desmos shows the y-int at (0,-10)