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3 years ago

10

A statistical analysis firm is hired to analyze the failure rate of a manufactured product. Which margin of error below would be

st indicate that the data used by the firm is a valid representation of the population?
7.6
2.1
3.3
8.9

1 answer:

True [87]3 years ago

4 0

The smaller the margin of error the better, so I would say 2.1

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Can someone please help me with this, im doing a test and im stuck on this question.

Mashutka [201]

Answer:

20

Step-by-step explanation:

first do 75/50 = 1.5

then multiply red by 1.5

13 landed on red so

13 x 1.5 = 19.5

but since you round up it is 20

6 0

3 years ago

Find the exact value of cos(sin^-1(-5/13))

son4ous [18]

bearing in mind that the hypotenuse is never negative, since it's just a distance unit, so if an angle has a sine ratio of -(5/13) the negative must be the numerator, namely -5/13.

$\bf cos\left[ sin^{-1}\left( -\cfrac{5}{13} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{then we can say that}~\hfill }{sin^{-1}\left( -\cfrac{5}{13} \right)\implies \theta }\qquad \qquad \stackrel{\textit{therefore then}~\hfill }{sin(\theta )=\cfrac{\stackrel{opposite}{-5}}{\stackrel{hypotenuse}{13}}}\impliedby \textit{let's find the \underline{adjacent}}$

$\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{13^2-(-5)^2}=a\implies \pm\sqrt{144}=a\implies \pm 12=a \\\\[-0.35em] ~\dotfill\\\\ cos\left[ sin^{-1}\left( -\cfrac{5}{13} \right) \right]\implies cos(\theta )=\cfrac{\stackrel{adjacent}{\pm 12}}{13}$

le's bear in mind that the sine is negative on both the III and IV Quadrants, so both angles are feasible for this sine and therefore, for the III Quadrant we'd have a negative cosine, and for the IV Quadrant we'd have a positive cosine.

8 0

3 years ago

Consider the function y = -2-3cos (x+pi). What effect does the -2 have on the basic graph

Elenna [48]

ANSWER

-2 shift the graph of the basic function down by 2 units.

EXPLANATION

The given cosine function is:

$y = - 2 - 3 \cos(x + \pi)$

This equation can be rewritten as:

$y = - 3 \cos(x + \pi) + - 2$

We compare this to

$y = a \cos(bx + c) + d$

The effect d has on the graph is that, it shifts the graph up by d units.

If d is negative the graph shifts down by d units.

Since d=-2, the graph will shift down by 2 units.

5 0

3 years ago

The girl ran 5 miles * 2 + 60 + 54

kupik [55]

Answer:

Equation = 1/4 x + 25 = 70

Solution = $180

Explanation:

Let the original amount she had before she went shopping be x

If she spent one-fourth on sloth, then the amount spent on cloth will be;

1/4 x

If she receives another $25 a week later totalling her money $70, then the equation that represents the situation will be;

1/4 x + 25 = 70

Find the solution

1/4 x + 25 = 70

1/4 x = 70 - 25

1/4 x = 45

x = 45 * 4

x = 180

Hence the amount she had before going for shoppind was $180

5 0

10 months ago

The measure of an angle is 60° less than nineteen times the measure of its supplement. what is the measure of the angle?

DerKrebs [107]

Two angles are supplementary when they <span>add up to 180 degrees.

x = angle
19x-60 = </span><span>supplement angle

x + 19x - 60 = 180
20x = 180 + 60
20x = 240
x = 240/20
x = 12</span>° ← answer

3 0

3 years ago