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aksik [14]
3 years ago
8

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? *

Mathematics
1 answer:
rjkz [21]3 years ago
5 0
I think the answer is x=-3
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It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random
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Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9

(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:

SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

t=\frac{\bar x-\mu}{SD_{\bar x}}

  =\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67

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.

8 0
3 years ago
Find f(x) if it is known that f(x+3)=4x+12.
MArishka [77]

Solution:

we are given that

f(x+3)=4x+12

we have been asked to find f(x).

we can find the value of f(x) by re-writing the given function in the form of f(x+3) and thereafter we will replace (x+3) by x.

we can re-write the given function as below

f(x+3)=4(x+3)\\\\\Rightarrow f(x)=4x\\

Hence the expression representing f(x) is f(x)=4x+3.

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This one bc there’s one point vertically and there’s no more than one point when you draw a vertical line down

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What is the additive inverse of 22?<br><br> 1. 22<br> 2. -22<br> 3. -(-|-22|)<br> 4. -(-(-(-22)))
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Answer:

the additive inverse of 22 is -22

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-C... I just saw it on Quizlet
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