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Tanya [424]
3 years ago
10

A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to

be selected by a consumer as any other design, what selection probability would you assign to each of the package designs? In an actual experiment, 100 consumers were asked to pick the design they preferred. The following data were obtained. Do the data appear to confirm the belief that one design is just as likely to be selected as another? Explain design number of times preferred.
1 5
2 15
3 30
4 40
5 10
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Answer:

The selection probability that would be assigned to each of the package designs , since they are equally likely is 1/5= 0.2

step-by-step explanation:

the data appear not to confirm the belief that one design is just as likely to be selected as another because 1 is preferred 5 times and 4 is preferred 40 times, this is very wide apart, and it confirmed the belief that one design is not as likely to be selected as another.

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Find the indicated length.<br> Line WX bisects YZ at point W. Find YZ if WZ=9 5/8
Montano1993 [528]

Given :

Line WX bisects YZ at point W.

WZ=9\dfrac{5}{8}=\dfrac{77}{5} .

To Find :

The length of YZ .

Solution :

Since , the point W bisect YZ .

So , it cuts YZ into two equal parts i.e YW and WZ .

Therefore , YW = WZ

Also , YZ = YW+WZ = 2WZ

YZ = 2\times \dfrac{77}{5}\\\\YZ=\dfrac{154}{5}\\\\YZ=30\dfrac{4}{5}

Hence , this is the required solution .

8 0
3 years ago
Using the quadratic formula to solve x2 = 5 - X, what are the values of X?
sdas [7]

Answer:

The answer is

<h3>x =  \frac{ - 1 +  \sqrt{21} }{2}  \:  \:  \: or \:  \:  \: x =  \frac{ - 1 -  \sqrt{21} }{2}</h3>

Step-by-step explanation:

x² + x - 5 = 0

Using the quadratic formula

That's

<h3>x =  \frac{  - b\pm \sqrt{ {b}^{2} - 4ac } }{2a}</h3>

From the question

a = 1 , b = 1 , c = - 5

Substitute the values into the above formula and solve

We have

<h3>x =  \frac{ - 1\pm \sqrt{ {1}^{2} - 4(1)( - 5) } }{2(1)}  \\ x =  \frac{ - 1\pm \sqrt{1  + 20 } }{2}  \\ x =   \frac{ - 1\pm \sqrt{21} }{2}</h3>

We have the final answer as

<h3>x =  \frac{ - 1 +  \sqrt{21} }{2}  \:  \:  \: or \:  \:  \: x =  \frac{ - 1 -  \sqrt{21} }{2}</h3>

Hope this helps you

3 0
3 years ago
How do you solve 3.4 times 4.37
tigry1 [53]
You move the decimal 3.4, 2 places to the right and get 340 then you move the decimal 4.37, 2 placeto the right and you multiply 340 and 437 and you get 14858 and you move 3 decimal place to the left because you moved 3 decimal place so you have to move it back and you get 14.858
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4 years ago
Please help!!<br> find the value of the trig ratio.
GenaCL600 [577]
<h3>Background:</h3>

So with sine cosine and tangent, try remembering the following:

Sin : Opposite / Hypotenuse

Cos: Adjacent / Hypotenuse

Tan: Opposite / Adjacent

Or just remember "Soh-cah-toa".

<h3>Thinking Process:</h3>

Anyways, with this, its asking for the sine ratio of angle Z. So we need the opposite side length and the hypotenuse side length

For the opposite side length, look to see where the angle is "opening" up towards, like a door that is opening. With this, Angle Z is opening up towards the Side XY, which has a length of 21.

To find the hypotenuse, it is always the largest side length of a right triangle. It is also where the right angle opens up it's "door" up to. This would be Side XZ, which has a length of 29.

<h3>Answer:</h3>

With both of these, back to the ratio formula:

Sin : Opposite / Hypotenuse

To finish the question, simply plug in the values that were found above.

This will give you:

Sin Z : <u><em>21 / 29</em></u>

This will be Choice A.

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3 years ago
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frosja888 [35]

Answer:

12% chance of winning because it's out of 100 tickets

Step-by-step explanation:

7 0
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