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DedPeter [7]
3 years ago
12

The function h is defined by h(y) = 2y - 7 VWhat is the value of h (8) ? АВАА

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0
H(y) = 2y - 7
h(8) = 2(8) - 7
h(8) = 16 - 7
h(8) = 9
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Is (x-4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.
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Answer:

(x-4) is not a factor of f(x)=x³-2x²+5x+1

Step-by-step explanation:

Uding the remainder theorem,(x-4) is a factor if the remainder is 0

Plug in x=4

(4)³-2(4)²+5(4)+1

64-32+20+1

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Cesar danced for 16 minutes on Saturday. On Sunday he danced for 28 minutes more than he did on Saturday. How long has he danced
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Saturday = 16 minutes

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You are studying the relationship between the history of early childhood trauma (categorized as trauma/no trauma) and weight in
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You can decide to <u>reject</u> the Null Hypothesis at p < 0.05.

Step-by-step explanation:

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So, number of rows is, <em>r</em> = 2.

The categories of weight in adulthood are:

Low to normal, Overweight, and Obese

So, number of columns is, <em>c</em> = 3.

The distribution of the statistic \chi^{2} is chi-square with (<em>r </em>- 1)(<em>c </em>- 1) degrees of freedom, where <em>r</em> represents the number of rows in the two-way table and <em>c</em> represents the number of columns.

Compute the degrees of freedom as follows:

df = (r-1)(c-1)=(2-1) \times (3-1) = 2

It is provided that the calculated value of Chi-square test statistic is 18.26.

Compute the <em>p</em>-value of the test as follows:

p-value=P(\chi^{2}_{2}\geq 18.26)\\=0.000108\\\approx0.00011

Decision rule:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level.

The significance level is, <em>α</em> = 0.05.

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The null hypothesis will be rejected at 5% level of significance.

Thus, the complete statement is:

"You can decide to <u>reject</u> the Null Hypothesis at p < 0.05."

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