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lakkis [162]
3 years ago
6

PLATO !!!! Which restricted domain would allow you to define the inverse cosine function?

Mathematics
1 answer:
lawyer [7]3 years ago
4 0

<u>Answer:</u>

0 ≤ x ≤ π

<u>Step-by-step explanation:</u>

In order to define the inverse cosine functions, the domains of the cosine functions are restricted.

One major condition to define an inverse of a function is that the original function must be one‐to‐one which means that one value from the domain should correspond to only one value in the range.

So we have a restriction that is placed on the values of the domain of the cosine function which is the following:

0 ≤ x ≤ π

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yall do u want me to fail? if no plz answer this question: is 92.35 equal to (9 × 100) + (2 ×10) + (3 × 110) + (5 × 1100)
schepotkina [342]

Answer:

no of course its not.

Step-by-step explanation:

(9 × 100) + (2 ×10) + (3 × 110) + (5 × 1100)

900+20+330+5500

1800

92.35 isnt equal to 1800

6 0
2 years ago
Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125
kicyunya [14]

Answer:

The  probability is  P(14 <  X  <  20 ) =  0.5354  

Step-by-step explanation:

From the question we are told that

   The  proportion that live with their parents is  \r p  =  0.142

   The  sample  size is n =  125

   

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

  i.e  

       X   \  \~ \ B( \mu ,  \sigma )

Now the mean is evaluated as

      \mu  =  n *  \r p

      \mu  =  125 *  0.142

      \mu  =  17.75

Generally the proportion that are not staying with parents is  

      \r  q  =  1 -  \r  p

= >    \r  q  =  0.858

The standard deviation is mathematically evaluated as

     \sigma  =  \sqrt{n * \r p  *  \r q }

     \sigma  =  \sqrt{ 125 *  0.142 * 0.858  }

    \sigma  = 3.90

Given the n is large  then we can use normal approximation to evaluate the probability as follows  

     P(14 <  X  <  20 ) =  P( \frac{ 14 -  17.75}{3.90}

Now applying continuity correction

      P(14 <  X  <  20 ) =  P( \frac{ 13.5 -  17.75}{3.90}  < \frac{  X  - \mu }{\sigma } < \frac{ 19.5 -  17.75}{3.90}   )

Generally  

    \frac{  X  - \mu }{\sigma }  =  Z  ( The  \ standardized \ value  \  of  X )

    P(14 <  X  <  20 ) =  P( \frac{ 13.5 -  17.75}{3.90}  < Z< \frac{ 19.5 -  17.75}{3.90}   )

     P(14 <  X  <  20 ) =  P( -1.0897   < Z<  0.449 }   )

    P(14 <  X  <  20 ) =   P( Z<  0.449   ) - P(Z  <   -1.0897)

So  for the z -  table  

         P( Z<  0.449   ) =  0.67328

         P(Z  <   -1.0897)  = 0.13792

 P(14 <  X  <  20 ) =   0.67328 -  0.13792    

  P(14 <  X  <  20 ) =  0.5354  

     

6 0
3 years ago
PLEASE HELP AS SOON AS POSSIBLE! Please look at the attached image, I greatly appreciate it!
lukranit [14]

Answer:

x^2 = 10^2 - 9^2

x^2 = 100 -81 = 19

x = 4.3588989435

The triangle sides are 10, 9 and 4.3588989435

Step-by-step explanation:

6 0
2 years ago
Fatima drove 100 miles in 4 hours. What is the constant of proportionality for 100 miles in 4 hours and 200 miles in 8 hours? Pl
Helen [10]

Answer:

25

Step-by-step explanation:

4 hours goes into 100 miles 25 times.

3 0
2 years ago
Ana's statistics skills have been improving during her senior year at Fletcher High School. On her first end-of-the-week assessm
Virty [35]
It will be 89 because it increases by 4 each time
5 0
3 years ago
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