What is 105 in the ratio 8:7
1 answer:
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Answer:
Explained below.
Step-by-step explanation:
The information provided is as follows:
(1)
A single mean test is to be performed in this case.
As the population standard deviation is not provided, a one-sample <em>t</em>-test will be used.
The correct option is b.
(2)
The null hypothesis is:
<em>H</em>₀: The average temperature in the population is 98.6°F, i.e. <em>μ </em>= 98.6°F.
The correct option is b.
(3)
The alternative hypothesis is:
<em>Hₐ</em>: The average temperature in the population is less than 98.6°F, i.e. <em>μ </em>< 98.6°F.
The correct option is c.
(4)
The standard deviation of the sample mean is as follows:
Thus, the value of SD is 0.3°F.
(5)
Compute the value of test statistic as follows:
Thus, the value of test statistic is -1.67.
(6)
The degrees of freedom of the test are:
df = n - 1
= 9 - 1
= 8
Thus, the degrees of freedom of the test is 8.
ANSWER
The vertex of the graph of
is
EXPLANATION
The vertex form of a parabola is given by
where
is the vertex of the parabola.
The function given to us is
This is already in the vertex form.
When we compare this to the general vertex form, we have,
and
Therefore the vertex of the parabola is
Hence the correct answer is option A.
The vertex of the graph of
is
EXPLANATION
The vertex form of a parabola is given by
where
is the vertex of the parabola.
The function given to us is
This is already in the vertex form.
When we compare this to the general vertex form, we have,
and
Therefore the vertex of the parabola is
Hence the correct answer is option A.