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Afina-wow [57]
3 years ago
11

Ten people were asked to use their calculator to randomly generate a number between 1 and 100.

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
7 0

Answer:

Random numbers can be quickly and easily generated by using the graphing calculator.

Step-by-step explanation:

White raven [17]3 years ago
4 0

Answer:

10% chance

Step-by-step explanation:

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Calculate the partial sum S for the sequence 243,81,27,....
Llana [10]

Answer:363


Step-by-step explanation:

We have to find partial sum for the sequence 243 , 81 , 27 ..... up to 5 terms(S5 given)

The sequence actually is 3^5,3^4.,3^3.....

Therefore first 5 terms are 1) 3^5 I.e. 243

2) 3^4 I.e. 81

3) 3^3 I.e. 27

4)) 3^2 I.e. 9

5) 3^1 I.e. 3

Adding all those no. we get partial sum of first 5 no. of the sequence

So, 243 + 81 + 27 + 9 + 3

= 363

Hope it helps!!!

4 0
3 years ago
Read 2 more answers
Find the solution for the system of linear equations by elimination: 2x+y=9,3x-y=16
alexandr402 [8]

Answer:

(-5,-1)

Step-by-step explanation:

2x+y=9 -> y=-2x+9

3x-y=16

3x-(-2x+9)=16

3x+2x-9=16

5x-9=16

5x-9 (+9)=16 (+9)

5x=25

x=5

no plug in 5 to x in any equation above

2(5)+y=9

10+y (-10)=9 (-10)

y=-1

so the answer is (-5,-1)

hope it's correct! and hope i helped

3 0
2 years ago
Read 2 more answers
Which statute generates statistical data that is generally cited to support findings.
nadya68 [22]

The statute generates statistical data that is generally cited to support findings is the Truth in Lending Act.

<h3>What is statistical data?</h3>

It should be noted that a statistical data simply means factual information that are recorded for analysis purpose.

In this case, the statute generates statistical data that is generally cited to support findings is the Truth in Lending Act. It helps protect unfair credit billing and card practices.

Learn more about statistics on:

brainly.com/question/15525560

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csf%5Clim_%7Bx%20%5Cto%200%20%7D%20%5Cfrac%7B1%20-%20%5Cprod%20%5Climits_%
xxTIMURxx [149]

To demonstrate a method for computing the limit itself, let's pick a small value of n. If n = 3, then our limit is

\displaystyle \lim_{x \to 0 } \frac{1 - \prod \limits_{k = 2}^{3} \sqrt[k]{\cos(kx)} }{ {x}^{2} }

Let a = 1 and b the cosine product, and write them as

\dfrac{a - b}{x^2}

with

b = \sqrt{\cos(2x)} \sqrt[3]{\cos(3x)} = \sqrt[6]{\cos^3(2x)} \sqrt[6]{\cos^2(3x)} = \left(\cos^3(2x) \cos^2(3x)\right)^{\frac16}

Now we use the identity

a^n-b^n = (a-b)\left(a^{n-1}+a^{n-2}b+a^{n-3}b^2+\cdots a^2b^{n-3}+ab^{n-2}+b^{n-1}\right)

to rationalize the numerator. This gives

\displaystyle \frac{a^6-b^6}{x^2 \left(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5\right)}

As x approaches 0, both a and b approach 1, so the polynomial in a and b in the denominator approaches 6, and our original limit reduces to

\displaystyle \frac16 \lim_{x\to0} \frac{1-\cos^3(2x)\cos^2(3x)}{x^2}

For the remaining limit, use the Taylor expansion for cos(x) :

\cos(x) = 1 - \dfrac{x^2}2 + \mathcal{O}(x^4)

where \mathcal{O}(x^4) essentially means that all the other terms in the expansion grow as quickly as or faster than x⁴; in other words, the expansion behaves asymptotically like x⁴. As x approaches 0, all these terms go to 0 as well.

Then

\displaystyle \cos^3(2x) \cos^2(3x) = \left(1 - 2x^2\right)^3 \left(1 - \frac{9x^2}2\right)^2

\displaystyle \cos^3(2x) \cos^2(3x) = \left(1 - 6x^2 + 12x^4 - 8x^6\right) \left(1 - 9x^2 + \frac{81x^4}4\right)

\displaystyle \cos^3(2x) \cos^2(3x) = 1 - 15x^2 + \mathcal{O}(x^4)

so in our limit, the constant terms cancel, and the asymptotic terms go to 0, and we end up with

\displaystyle \frac16 \lim_{x\to0} \frac{15x^2}{x^2} = \frac{15}6 = \frac52

Unfortunately, this doesn't agree with the limit we want, so n ≠ 3. But you can try applying this method for larger n, or computing a more general result.

Edit: some scratch work suggests the limit is 10 for n = 6.

6 0
2 years ago
A population of 1,000 bacteria is treated with a medicine and begins to die 5% each hour. How can the bacteria population be det
sattari [20]
It would take 5 hours for all the bacteria to die. 1000 divided by 5 is 200 so 200x5=1000
6 0
3 years ago
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