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Talja [164]
3 years ago
14

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.

Mathematics
1 answer:
Art [367]3 years ago
7 0

Answer:

The claim made by the motor company was true. The old sedan, the Libra, would average less than 19 miles per gallon in the city.

Step-by-step explanation:

In this case we need to test the claim made by the Carter Motor Company, that their old sedan, the Libra, would average less than 19 miles per gallon in the city.

The hypothesis to test the claim is as follows:

<em>H₀</em>: The old sedan, the Libra, would average not less than 19 miles per gallon in the city, i.e. <em>μ</em> ≥ 19.

<em>Hₐ</em>: The old sedan, the Libra, would average less than 19 miles per gallon in the city, i.e. <em>μ</em> < 19.

It is provided that the conclusion is to reject the null hypothesis.

This implies that, it was concluded that the old sedan, the Libra, would average less than 19 miles per gallon in the city.

Hence, the claim made by the motor company was true.

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Vladimir says that the equation of the line that passes through points above Robyn says that the line passes through the points
aleksley [76]

Answer:

Both are correct

Step-by-step explanation:

The Line has the following equation: y= 1+4/5 x

So we need to know which points: (-5,-3) and (10,9), (-10,-7). (-15, -11) are part of the line

For instances, lest start by evaluating (-15,-11) in y=1+4/5 x

this leaves us to the following operation: -11=1+4/5 * (-15)

-11=1-4*3 resulting in a equality -11=-11, this point does belong to the line

Repeat the above for all of the remaining points and you will get the same conclusion, that is we Vladimir and Robyn are correct.

8 0
3 years ago
Find three real numbers​ x, y, and z whose sum is 6 and the sum of whose squares is as small as possible. g
mart [117]
We're minimizing x^2+y^2+z^2 subject to x+y+z=6. Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(x+y+z-6)

with partial derivatives

\begin{cases}L_x=2x+\lambda\\L_y=2y+\lambda\\L_z=2z+\lambda\\L_\lambda=x+y+z-6\end{cases}

Set each partial derivative equal to 0:

\begin{cases}2x+\lambda=0\\2y+\lambda=0\\2z+\lambda=0\\x+y+z=6\end{cases}

Subtracting the second equation from the first, we find

2x-2y=0\implies x=y

Similarly, we can determine that x=z and y=z by taking any two of the first three equations. So if x=y=z determines a critical point, then

x+y+z=3x=6\implies x=y=z=2

So the smallest value for the sum of squares is 2^2+2^2+2^2=12 when (x,y,z)=(2,2,2).
8 0
3 years ago
Help please I don't understand.........
frez [133]
Given the graph, you can assume that f(x) is the y of an equation.

When f(2) is given, this means that what is the y value when x=2?

As you can see, the solution is between 8 and 10. Meaning that the closest answer is 9.

Hope I helped :)
6 0
3 years ago
A student said that since -9 is less than 4, then |-9| is less than |4|. Is the student correct? Explain why or why not.
IRISSAK [1]
No, that is not true. The absolute value is the distance a number is from zero. The distance of -9 to 0 is 9. 9 is not less than 4.
4 0
3 years ago
Read 2 more answers
What is the surface area of a circle that has a diameter of 14 inches
Anna007 [38]
The area of any circle is        (pi) · (radius)² .

The radius is 1/2 of the diameter.

For your circle, the radius is 1/2 of 14 inches  =  7 inches,
and the area is

                            (pi) · (7 inches)²

                         = (pi) · (49 square inches)

                         =      153.9 square inches  (rounded)
8 0
3 years ago
Read 2 more answers
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