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4 years ago

A line is an undefined term because it

Mathematics

1 answer:

guajiro [1.7K]4 years ago

5 0

A line is an undefined term because it contains an infinite number of points

Hope this helps!

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It

MrRa [10]

Answer:

|Z| = |-1.36| < 1.645 at 0.1 level of significance

The null hypothesis is accepted

A manufacturer of banana chips are filling machine works correctly at the mean 449

Step-by-step explanation:

Step(i):-

Given mean of the Population(μ) = 449

The Standard deviation of the population(σ) = 22

size of the sample 'n' = 36

mean of the sample(x⁻) = 444

Given the level of significance(α) = 0.1

Critical value Z = 1.645

Step(ii):-

Null hypothesis:H₀:

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0

(μ) = 449

Alternative Hypothesis:H₁: (μ) ≠ 449

Test statistic

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } } \\= \frac{444-449}{\frac{22}{\sqrt{36} } }$

= -1.36

Final answer:-

|Z| = |-1.36| < 1.645 at 0.1 level of significance

The null hypothesis is accepted

A manufacturer of banana chips are filling machine works correctly at the mean 449

5 0

3 years ago

2) The coordinates of the vertices of quadrilateral ABCD are A(-1,8),

Verizon [17]

Answer:

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

Step-by-step explanation:

When a point (h,k) is roated 180 degrees about the origin it becomes (-h,-k) which means that the new point after rotation is the negative of the previous.

Given vertices are:

A(-1,8), B(0,4), C(-2,1), and D(-4,3)

The new vertices will be:

$A(-1,8) => A'(1,-8)\\B(0,4)=> B'(0,-4)\\C(-2,1)=> C'(2,-1)\\D(-4,3)=> D'(4,-3)$

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

3 0

3 years ago

The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar

dimulka [17.4K]

Answer:

$15x^2+5xy-125=0$

Step-by-step explanation:

We are give the following in the question:

Dimensions of rectangle:

Length , l =

$l = x\sqrt{100} = 10x$

Width of rectangle, w =

$w = \dfrac{y}{2} +\dfrac{3x}{2}$

Area of rectangle = 125 square cm.

Area of rectangle =

$A =l\times w$

Putting values, we get,

$125 = 10x\times (\dfrac{y}{2}+\dfrac{3x}{2})\\\\125 = 5xy+15x^2\\15x^2+5xy-125=0$

is the required equation.

7 0

3 years ago

Read 2 more answers

Can someone help me figure this out: Factor 12y^2-27? I keep getting the steps confused.

alukav5142 [94]

Factor out the gcf first.

3(4y^2-9)

The binomial inside is a perfect square so keep factoring.

3(2y+3)(2y-3)

The pair of binomials cannot be further factored so stop there.

8 0

3 years ago

Factor the polynomials 2x4+4x3+6x2?

Shalnov [3]

Answer:x^2+2x+3

Step-by-step explanation:

I’m assuming you meant 2x^4+4x^3+6x^2...

So you can pull out 2x^2 from all of the polynomials...

And this equation isn’t able to be simplified anymore. Hope this helps!

5 0

3 years ago