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Naya [18.7K]
2 years ago
5

What is the value of 7x-3y-1 for x = -2 and y = 4?

Mathematics
2 answers:
egoroff_w [7]2 years ago
6 0
7(2 - 3) 4 - 1
7 •(1) • 4 - 1
-28 - 1
-29
vova2212 [387]2 years ago
5 0

\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}

<em>           what is the value of 7x-3y-1 for x = -2 and y = 4?</em>

<em />

<em />\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}

Replace x with -2 and y with 4:-

\sf{7(-2)-3(4)-1}

On simplification,

\sf{-14-12-1}

On further simplification,

\sf{-27}

<h3>Good luck with your studies.</h3>

\rule{300}{1}

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Answer:

-10

Step-by-step explanation:

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
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Answer: The rocket will reach its max after 4 seconds

Step-by-step explanation:

Hi, to find the maximum height, we have to set the first derivative of the equation equal to zero.

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Solving for x:

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x = 128/32

x = 4 seconds

The rocket will reach its max after 4 seconds

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn
loris [4]

Answer:

95 percent confidence interval for μ is determined by

(60.688 ,  69.312)

a) be the same

Step-by-step explanation:

<u>Step (i)</u>:-

Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.

The sample size is n= 121

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

<u>Step (ii) :</u>-

Given  The 95 percent confidence interval for μ is determined as

(61.08, 68.92)

we are to reduce the sample size to 100 (other factors remain unchanged) so

given The sample size is n= 100

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

<u>Step (iii)</u>:-

95 percent confidence interval for μ is determined by

(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} } )

(65 - 1.96\frac{22}{\sqrt{100} } , 65 + 1.96 \frac{22}{\sqrt{100} } )

(65 - 4.312 ,65 +4.312)

(60.688 ,  69.312) ≅(61 ,69)

This is similar to (61.08, 68.92) ≅(61 ,69)

<u>Conclusion</u>:-

it become same as (61.08, 68.92)

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4 years ago
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