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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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5. Simplify: 56 = 7 - 3 [4 + {8 - 4 ( 4 + 5 - 3 )}]​
shutvik [7]

Answer:

36

Step-by-step explanation:

56=7-3[4+{8-4(4+5-3)}]

56=7-3[4+{4(4+5-3)}]

56=7-3[4+{16+20-12)}]

56=7-3[4+24]

56=4[28]

56=92

56-56=92-56

36

3 0
3 years ago
Ross will make a water balloon that can be modeled with a sphere. A constraint he must consider is that when the radius of the b
vazorg [7]

Answer: no

Step-by-step explanation:

7 0
3 years ago
Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equati
Scrat [10]

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume f(x)=ab^x+c

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}

f'(x) > 0

So we can say that f(x) is an increasing function.

g(x) = - 18  (\frac{1}{3}  )^ x + 2

g^ \prime (x) = - 18 (\frac{1}{3}  )^ x  ln(1/3)

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) g'(x) > f'(x)

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

Learn more about increasing functions here: brainly.com/question/12940982

#SPJ10

7 0
2 years ago
How do you close question
atroni [7]
You close a question with a question mark..right?
6 0
3 years ago
Phil has two rectangular prisms. The height of the second prism is 1/2 times the height of the first prism. The lengths and widt
Vesnalui [34]

The volume of the second prism is also ten times the volume of the first prism.

Let's assume that both prisms have:

width = 3 units

height = 4 units

Prism 1 length = 5 units

Prism 2 length = 50 units

Let's solve their respective volumes to compare...

Volume of prism 1 = length * width * height

                             = 5 * 3 * 4

                             = 60 units ^3

Volume of prism 2 = 50 * 3 * 4

                             = 600 units ^3

Prism 2/ prism 1 = 10

That means prism 2 is ten times the volume of prism 1.

6 0
3 years ago
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