Which can be solved using this equation?
2 answers:
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Answer:
Step-by-step explanation:
we know that
The given equation y=5 is a horizontal line (is parallel to the x-axis)
The slope of the given line is equal to zero
A perpendicular line to the given line is a vertical line (parallel to the y-axis)
so
The equation of a vertical line is equal to the x-coordinate of the point that passes through it
The point that passes through it is (-4,-6)
therefore
The equation of the perpendicular line is
The sequences that would map the triangles so as to support both claims are explained below:
<em>Transformation</em> is a process in which the dimensions, size or orientation of a given shape is <em>adjusted</em>. The types are: translation, reflection, rotation and dilation.
Thus;
A. The sequence of transformations that will <u>support</u> Tim's thinking are:
i. <em>Reflection</em> of triangle A <em>about</em> the y-axis.
ii. <em>Reflection</em> of the triangle the <em>second</em> time now about x-axis.
iii. <em>Translation</em> of the triangle two units to the right (i.e towards the x-axis)
These steps would map triangle A unto triangle B supporting Tim's claim.
B. The sequence of transformations that will <u>support</u> Jennifer's claim are:
i. First <em>rotate</em> triangle A by using the origin of the axis as the reference point.
ii. Then <em>translate</em> triangle A two units to the right (i.e towards the x-axis).
Therefore, these steps will map triangle A unto B to support Jennifer's claim.
Answer:
We conclude that 80% of patients stop smoking when given sustained care.
Step-by-step explanation:
We are given that in a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer smoking after one month.
Let p = <u><em>percentage of patients stop smoking when given sustained care.</em></u>
So, Null Hypothesis, : p = 80% {means that 80% of patients stop smoking when given sustained care}
Alternate Hypothesis, : p
80% {means that different from 80% of patients stop smoking when given sustained care}
The test statistics that would be used here <u>One-sample z test for proportions</u>;
T.S. = ~ N(0,1)
where, = sample proportion of patients who stop smoking when given sustained care = 80.2%
n = sample of patients = 192
So, <u><em>the test statistics</em></u> =
= 0.07
The value of z test statistics is 0.07.
<u></u>
<u>Also, P-value of the test statistics is given by the following formula;</u>
P-value = P(Z > 0.07) = 1 - P(Z 0.07)
= 1 - 0.52790 = 0.4721
<u>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>
Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.
Therefore, we conclude that 80% of patients stop smoking when given sustained care.