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Alenkinab [10]
4 years ago
11

A basketball player has attempted 24 shots and made 17 find the experimental probability round to three decimal places

Mathematics
1 answer:
VashaNatasha [74]4 years ago
7 0

Answer:

0.708

Step-by-step explanation:

A great way to solve for probability is to create a fraction.

In our case, we can see that 17 out of 24 times they made it.

17/24 is our fraction.

Since the viniculum in a fraction represents division, we really have 17 divided by 24.

That is 0.7083.....

Rounding gives 0.708 as our final answer.

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0.6(x+2)=0.55(2x+3)
Ivenika [448]
Youd take two times nine and get 18 so it would be 18.55
8 0
3 years ago
I found the interval of convergence, but I am not sure how to do the second part, finding the sum of the series as a function of
antiseptic1488 [7]

The given series is geometric with common ratio 6^x - 9, which converges if |6^x - 9| (i.e. the interval of convergence). We have the well-known result

\displaystyle |r| < 1 \implies \sum_{n=0}^\infty ar^n = \frac{a}{1-r}

If you're not familiar with that result, it's easy to reproduce.

Let S_N be the N-th partial sum of the infinite series,

\displaystyle S_N = \sum_{n=0}^N \left(6^x - 9\right)^n = 1 + \left(6^x - 9\right) + \left(6^x - 9\right)^2 + \cdots + \left(6^x - 9\right)^N

Multiply both sides by the ratio.

\left(6^x - 9\right) S_N = \left(6^x - 9\right) + \left(6^x - 9\right)^2 + \left(6^x - 9\right)^3 + \cdots + \left(6^x - 9\right)^{N+1}

Subtract this from S_N to eliminate all the powers of the ratio between 0 and N+1.

\left(1 - \left(6^x - 9\right)\right) S_N = 1 - \left(6^x - 9\right)^{N+1}

Solve for S_N.

S_N = \dfrac{1 - \left(6^x - 9\right)^{N+1}}{10-6^x}

Now as N\to\infty, the exponential term converges to 0 and we're left with

\displaystyle \sum_{n=0}^\infty \left(6^x-9\right)^n = \lim_{N\to\infty} S_N = \boxed{\frac1{10-6^x}}

7 0
2 years ago
Find the common ratio of the geometric sequence -17, 102, -612,...−17,102,−612,..
yKpoI14uk [10]

Answer:

-6

Step-by-step explanation:

common ratio r=102/(-17)=-6

5 0
3 years ago
Use your trendline to find the temperature of your Spaghettios after 40 minutes. Is this an example of interpolation or extrapol
tamaranim1 [39]

Answer:

in 40 minutes, 15 degrees Farenheit  will be e

Step-by-step explanation:

7 0
3 years ago
It takes 8 minutes to fill an empty aquarium to a depth of
Sidana [21]

Answer:

Step-by-step explanation:

Answer

0

andrew8253

Virtuoso

237 answers

42.1K people helped

Answer:

The rate is 15 minutes per meter.

Step-by-step explanation:

It takes 9 minutes to fill a depth of  meters.

Filling   meters take 9 minutes time.

Filling 3 meters of the aquarium takes  = 45 minutes time (Multiplying by 5 both the numbers).

In order to fill 1 meter of the aquarium it will take  minutes (Dividing by 3 both the numerical values).

4 0
3 years ago
Read 2 more answers
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