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34kurt
4 years ago
7

A number cube is rolled 120 times. The number 4 comes up 47 times. What is the experimental probability of rolling a 4? What is

the theoretical probability of rolling a 4?
A. 47/120; 1/30
B. 47/120; 1/6 ******
C. 4/47; 1/6
D. 1/6; 47/120

Am I Correct? 
Mathematics
1 answer:
AnnyKZ [126]4 years ago
7 0
Yes you are correct 1/6
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I’d appreciate help ASAP please and thank you!
White raven [17]
<h3>Answer:  Choice C) 40 </h3>

==========================================================

Work Shown:

Plug in x = 0

g(x) = 3^{2x}\\\\g(0) = 3^{2*0}\\\\g(0) = 3^{0}\\\\g(0) = 1\\\\

This indicates that (0,1) is on the curve. This is the y intercept.

Do the same for x = 2

g(x) = 3^{2x}\\\\g(2) = 3^{2*2}\\\\g(2) = 3^{4}\\\\g(2) = 81\\\\

So we know that (2,81) is another point on this curve.

We need to find the slope of the line through (0,1) and (2,81) to get the slope of the secant line we want.

m = \text{slope}\\\\m = \frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{g(2)-g(0)}{2-0}\\\\m = \frac{81-1}{2-0}\\\\m = \frac{80}{2}\\\\m = 40\\\\

The slope of the line through (0,1) and (2,81) is m = 40. This value of m is exactly the slope of the secant line your teacher is asking for. This is why the answer is choice C.

5 0
3 years ago
Select the exclusion that fits best with this problem.<br><br><br><br> 13x^6/51x^4
Damm [24]

ANSWER

x \ne0

EXPLANATION

The given problem is

\frac{13 {x}^{6} }{ 51 {x}^{4}  }

This is defined if and only if

x \ne0

Even the given expression can be simplified to obtain:

\frac{13 {x}^{2} }{ 51}

The exclusion is

x \ne0

5 0
3 years ago
The graph of a system of linear equations is shown.
zheka24 [161]
C

Because I did it on edg
4 0
3 years ago
Explain how you can find 4 times 754 using two different methods.
ludmilkaskok [199]
Method 1:

4(754)

=4(700+50+4)

=2800 + 200 + 16

=3000+16

=3016

-----------------

Method 2:

4(754)

=4(250+250+250+4)

=1000+1000+1000+16

=3016
3 0
3 years ago
Read 2 more answers
Questions are shown in the picture, any help is appreciated! :)
cestrela7 [59]
A) 13 students
b) 13 students
c) 37 students
7 0
3 years ago
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