The diagram on the right shows the graph of a quadratic function f(x)=kx^2+6x+h.Point A(3,14) is the maximum point of the graph
of a quadratic function.
(a)Given k is an integer where -2<k<2,state the value of k.
(a)Given k is an integer where -2<k<2,state the value of k.
1 answer:
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For this case we have the following polynomial:
To solve the problem we apply the following steps:
1) We make a change of variables u = x ^ 2
2) We rewrite the polynomial
3) Solve the quadratic equation using the formula for the quadratic equation
4) We return the change and find four roots
Answer:
See attached image for procedure and solution
To solve the problem we apply the following steps:
1) We make a change of variables u = x ^ 2
2) We rewrite the polynomial
3) Solve the quadratic equation using the formula for the quadratic equation
4) We return the change and find four roots
Answer:
See attached image for procedure and solution
Answer:
The approximate probability is 0.1921.
Step-by-step explanation:
The <em>p</em>-value is defined as the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.
The hypothesis to test whether the proportion of consumers that plan to buy a new TV screen within the next year is 0.22, is defined as:
<em>H₀</em>: The proportion of consumers that plan to buy a new TV screen within the next year is 0.22, i.e. <em>p</em> = 0.22.
<em>Hₐ</em>: The proportion of consumers that plan to buy a new TV screen within the next year is 0.22, i.e. <em>p</em> > 0.22.
The information provided is:
<em>n</em> = 230
<em>X</em> = 56
Compute the value of sample proportion as follows:
Compute the test statistic as follows:
The test statistic value is, 0.87.
Compute the <em>p</em>-value as follows:
*Use a <em>z</em>-table for the probability.
The <em>p-</em>value of the test is 0.1921.
Thus, the approximate probability of obtaining a sample proportion equal to or larger than the one obtained here is 0.1921.