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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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Use the substitution method to solve the given system of equations. Write your answer as an ordered pair, (x, y).
Gnoma [55]

Answer:

(-3, -2)

Step-by-step explanation:

Look at the second equation, we can easily rearrange it to make x the subject.

x - 4y = 5

x = 4y + 5

Now lets put that into the second equation

2x - 2y = -2

2(4y + 5) - 2y = -2

6y + 10 = -2

6y = -12

y = -2

Now lets find x!

x = 4y + 5

x = 4(-2) + 5

x = -3

Now lets format the answer like the question says (ordered pair)

(-3, -2)

Recap: We used substitution and made an equation to work out one of the variables first, then found the second variable using the first.

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3 years ago
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Answer:

\frac{34}{1}  or 34

Step-by-step explanation:

we know that

To find the unit rate divide 27 1/5 by 4/5

but first

Convert mixed number to an improper fraction

27\frac{1}{5}=27+\frac{1}{5}=\frac{27*5+1}{5} =\frac{136}{5}

so

\frac{136}{5}:\frac{4}{5}=\frac{136}{4}=\frac{34}{1}

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125=15d+50
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1. The Alabama state flag is white and has two diagonal red stripes. If the m&lt;1 = 135°, what is
MaRussiya [10]

Using the supplementary angles theorem, it is found that the measure of the second angle is of m<2 = 45º.

<h3>What are supplementary angles?</h3>

Two angles are supplementary when the <u>sum of their measures is of 180º</u>.

The Alabama state flag has <u>two lines opposite by the same vertex</u>, hence two angles that are sided are supplementary, hence:

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m<2 = 45º.

The measure of the second angle is of m<2 = 45º.

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