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Tanya [424]
3 years ago
15

Does anyone know how to answer this question? Please write your working calculation as well if you do know the answer. Thanks so

much. ​

Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Answer:

Mark as brainliest if helped Thanks!

Step-by-step explanation:

funtion is:

y = \frac{x^2 -1}{2x + 1}

therefore \\\frac{dy}{dx}\\ is

\frac{d\frac{x^2 -1}{2x + 1}}{dx}

\frac{\frac{x^2 -1}{2x + 1}}{x}

\frac{x^2 -1}{(2x+1) x}

Now

\int\limits^2_0 {\frac{x^2 +x +1 }{4x^2 +4 + 1} } \, dx

(Calculation of this it too long and it is hard to type on brainly)

here is the answer though....

= 4/5

=0.8

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A ratio dogs to cats at an animal shelter is 2 : 5. The number of cats is how many times the number of dogs?
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Since there are 5 cats and 2 dogs, divide cats by dogs for the number.

5/2= 2.5

There are 2.5 times more cats than dogs.

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~kaikers
3 0
3 years ago
2. Create an estimated probability distribution for the time teens spend texting.
Furkat [3]

Answer:

<u><em>Hours</em></u>          0     0.5    1.0     1.5    2.0    2.5    3.0    3.5    4.0    4.5    5.0

<u><em>Frequency</em></u>* 0.2  0.09  0.25  0.18  0.11  0.07  0.05  0.02  0.01  0.02  0.01

Problem Statement:

The table shows the number of hours, to the nearest half hour per day, that teens spend texting according to a random sample of 870 teenagers aged 13–18 in a large urban city.

Hours          0     0.5    1.0   1.5  2.0   2.5  3.0  3.5  4.0  4.5  5.0

Frequency  170  82    220  153  92   58   40    15  12   18    10

Step-By-Step Explanation:

As we need the estimated probability distribution for teens spending time texting, we will be needing the total sample size.

As given in the problem statement,

<em><u>Total Sample Size = 870</u></em>

To calculate estimated probability distribution, we will convert the frequency sample into estimated probability distribution, for that:

Estimated Probability Distribution (Frequency*)=\frac{Frequency.Sample.Size.of.that.hour}{Total.Sample.Size}

<u><em>For Example:</em></u>

Estimated probability distribution that teens spend 0 hours texting=\frac{170}{870} =0.20

Similarly

Estimated probability distribution that teens spend 0.5 hours=\frac{82}{870} =0.09

Using the same formula we get:

<em><u>Hours</u></em>          0     0.5    1.0     1.5    2.0    2.5    3.0    3.5    4.0    4.5    5.0

<em><u>Frequency</u></em>* 0.2  0.09  0.25  0.18  0.11  0.07  0.05  0.02  0.01  0.02  0.01

(<em>Note: Frequency* is the estimated probability distribution)</em>

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