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Alexxx [7]
3 years ago
6

When a particular type of thumbtack is​ dropped, it will land point up ​(A flat-top thumbtack resting on its flat top​) or point

down ​(A flat-top thumbtack resting on the edge of its flat top and the tip of its needle​). This experiment was repeated times with the following​ results: point​ up: ​48 times; point​ down: 52 times.
a. What is the experimental probability that a particular type of thumbtack will land point​ up?

b. What is the experimental probability that a particular type of thumbtack will land point​ down?

c. If the experiment was tried another 100 times would the same results​ occur? Why?

d. Is it expected that nearly the same results occur on a second​ trial? Why?​
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0

Answer:

0.48

0.52

No

Yes

Step-by-step explanation:

Result of experiment :

Point up = 48

Point down = 52

Total number of trials = 100

Recall :

Experimental probability = number of outcomes / number of trials

1.)

P(Landing point up) = 48 / 100 = 0.48

2.)

P(Landing point down) = 52 / 100 = 0.52

3.)

The same result will not occur has the outcomes of trials aren't fixed.

4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.

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Answer:

\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}

Step-by-step explanation:

Convert the mixed number to the fraction:

3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}

METHOD 1:

x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}

METHOD 2:

x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}

7 0
4 years ago
An empty suitcase has a mass of 2 kilograms. Draw a bar model to find its mass in grams.
miss Akunina [59]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
. A retailer buys pants at $22.00 and sells them for $26.40 The percent of markup on cost is 50 percent. 13 percent. 20 percent.
lana [24]
22     = 100%
26,40 = x%

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Step-by-step explanation:

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5 0
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\\ \sf\longmapsto \sqrt{10}\times \sqrt{15}

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None of the above should be 4th option

8 0
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