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Ierofanga [76]
3 years ago
7

A poll is given, showing 40% are in favor of a new building project. If 8 people are chosen at random, what is the probability t

hat exactly 2 of them favor the new building project?
Mathematics
1 answer:
labwork [276]3 years ago
6 0

Answer:

Probably 25%

Step-by-step explanation:

Set a random simulation up. The maximum of number of people that could've possibly be in favor of the new building project would be 2 people.

1 Yes

2 No

3 No

4 No

5 No

6 Yes

7 No

8 No

2/8 is 25%

There is a chance that exactly the next 2 people will be in favor of the building project

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Complete the recursive formula of the geometric sequence -0.56\,,-5.6\,,-56\,,-560,...−0.56,−5.6,−56,−560,...Minus, 0, point, 56
pentagon [3]

Answer:

The recursive formula is:

Cn = 10C(n-1)

Step-by-step explanation:

Given the geometric sequence.

-0.56, -5.6, -56, -560, ...

The common ratio is

-5.6/-0.56 = -56/-5.6 = -560/-56 = ... = 10

The recursive formula is easily

Cn = C(n-1) × 10

That is a number is ten times the preceding number.

7 0
3 years ago
In the diagram below, AB and TC are tangent to 0. Which equation could be solved to find x, the measure of AC?
LekaFEV [45]

The  equation that could be solved to find x, the measure of AC is 58 = 1/2(238 -x)

<h3>Circle theorem</h3>

The given diagram shows two intersecting lines tangential to a circle at points A and C.

Using the theorem that states, the measure of the angle at the vertex is equal to the half of the difference of the measure of the intercepted arcs.

Mathematically;

<B = 1/2(arcADC - arcAC)

58 = 1/2(238 -x)

Hence the  equation that could be solved to find x, the measure of AC is 58 = 1/2(238 -x)

Learn more on circle theorem here: brainly.com/question/26594685

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4 0
2 years ago
Please solve this 6-3 log2n=0
lutik1710 [3]
If that is 6-3(log2n)=0 then how you would go about solving it is by looking at log2n like x. In this case, for 6-3x=0,  x would have to  =2. So log2n has to =2. If log2n=2 and we assume that the base is 10 (because if there is no written base on a log then it is 10) then we need to rewrite the log to exponential form. Rewritten it's 10^2=2n. 100=2n, divide both sides by 2 and you get n=50.
6 0
4 years ago
Read 2 more answers
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aleksley [76]

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

<h3>How to determine  the exponential model?</h3>

From the complete question,we have the following parameters:

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  • Growth rate, r = 0.2

The exponential model is then calculated as:

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f(x) = 3 * (1 + 0.2)^x

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Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

Read more about exponential models at:

brainly.com/question/7296382

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Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5
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Use\ a^n\cdot a^m=a^{n+m}\\\\x^4\cdot x^n=x^5\\\\x^{4+n}=x^5\iff4+n=5\ \ \ |subtract\ 4\ from\ both\ sides\\\\\boxed{n=1}
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