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NemiM [27]
3 years ago
14

Tg75º Can someone explain how this works

Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0
The tangent of 75 maybe? Depending on calculator tangent button then 75 or vice versa
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Log(4)+log(2)-log(5)
Otrada [13]

                       log(4)  +  log(2)  -  log(5)

                 =    log(2²) +  log(2)  -  log(5)

                 =    2 log(2) + log(2)  -  log(5)

                 =      3 log(2)  -  log(5)

                 =      log(2³)  -  log(5)

                 =        log (2³/5)

                 =        log (8/5)

                 =        log (1.6)  =  0.2041...  (rounded)
5 0
3 years ago
Read 2 more answers
Find the following integral
ololo11 [35]

There's nothing preventing us from computing one integral at a time:

\displaystyle \int_0^{2-x} xyz \,\mathrm dz = \frac12xyz^2\bigg|_{z=0}^{z=2-x} \\\\ = \frac12xy(2-x)^2

\displaystyle \int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy = \frac12\int_0^{1-x}xy(2-x)^2\,\mathrm dy \\\\ = \frac14xy^2(2-x)^2\bigg|_{y=0}^{y=1-x} \\\\= \frac14x(1-x)^2(2-x)^2

\displaystyle\int_0^1\int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy\,\mathrm dx = \frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx

Expand the integrand completely:

x(1-x)^2(2-x)^2 = x^5-6x^4+13x^3-12x^2+4x

Then

\displaystyle\frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx = \left(\frac16x^6-\frac65x^5+\frac{13}4x^4-4x^3+2x^2\right)\bigg|_{x=0}^{x=1} \\\\ = \boxed{\frac{13}{240}}

4 0
3 years ago
A music buff wants to estimate the percentage of students at a midwestern university who believe that elvis is still alive. how
gulaghasi [49]
Since we are not given any information about the proportion, we will assume the sample proportion to be 0.50

so,
p = 0.50
The Error is 10% percentage point. This means that on either side of the population proportion the error is 5% so E = 0.05
z = 1.645 (Z value for 90% confidence interval)

The margin of error for population proportion is calculated as:

E=z* \sqrt{ \frac{p(1-p)}{n} }  \\  \\ 
 \frac{E}{z} = \sqrt{ \frac{p(1-p)}{n} }  \\  \\ 
( \frac{E}{z} )^{2}= \frac{p(1-p)}{n} \\  \\ 
n= p(1-p)* (\frac{z}{E})^{2}  \\  \\ 
n=271

This means 271 students should be included in the sample
5 0
4 years ago
Give an example of an event in which all of the outcomes are not equally likely. Explain.
Kryger [21]
In order to do that we would need to see the list of potential answers. 
8 0
4 years ago
A binomial probability experiment is conducted with the given parameters. Use technology to find the probability of x successes
Nitella [24]

Answer:

P ( X < 4 ) = 0.1736706  

Step-by-step explanation:

Given:

- A random variable X follows a binomial distribution as follows,  

                                Where n = 8, and p = 0.6.

Find:

- P ( X < 4 )?

Solution:

- The random variable X follows a binomial distribution as follows:

                                        X ~ B ( 8 , 0.6 )

- The probability mass function for a binomial distribution is given as:

                                pmf = n^C_r ( p )^r (1-p)^(n-r)

- We are asked to find P ( X < 4 ) which is the sum of following probabilities:

               P ( X < 4 ) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 )

- Use the pmf to compute the individual probabilities:

P ( X < 4 ) = 0.4^8 + 8^C_1*(0.6)*(0.4)^7 + 8^C_2*(0.6)^2*(0.4)^6 + 8^C_3*(0.6)^3*(0.4)^5 .

     P ( X < 4 ) = 6.5536*10^-4 + 7.86432*10^-3 + 0.04128768 +0.12386304

Answer:                      P ( X < 4 ) = 0.1736706  

7 0
4 years ago
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