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frozen [14]
3 years ago
6

The functions f(x) and g(x) are graphed.

Mathematics
2 answers:
MrRissso [65]3 years ago
8 0

I think the answer is the first one f(2) = g(2) and f(0) = g(0)



Kruka [31]3 years ago
7 0

Answer:

First option is correct.

Step-by-step explanation:

two functions are equal if their domain and co-domain are equal, and if the image of both functions is the same .

here we have two values of x   ,2 and 0  at which both f(x) and g(x) gives same

values that is f(2) = g(2) and f(0) and g(0)

therefore x =0 and x=2 are the values  at which functions are equal.

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3 years ago
A psychologist obtains a random sample of 2020 mothers in the first trimester of their pregnancy. The mothers are asked to play
leva [86]

Answer:

First of all, we need to determine the system of hypothesis, which must have a null and alternative hypothesis.

In all hypothesis proof procedure, we must work with the null one, rejecting it or accepting it. If we reject the null hypothesis, it will mean that our principal hypothesis is true.

According to the problem, the null hypothesis must be: H_{o} : u = 100; because it says that 100 is the normal mean that is used.

The alternative hypothesis must be: H_{a} : u > 100; because the question is asking if there's enough evidence to say that they children have a higher IQ than 100.

Then, we must calculate the P-value, which is the probability value that we are gonna use to accept or reject the null hypothesis. This P-value we can calculate it with the formula: Z=\frac{x-u}{\frac{o}{\sqrt{n} } }; where x is the sample mean, u is the hypothetical mean parameter, o is the sample deviation and n is the sample.

Extracting all values from the problem: x = 104.3; u = 100; o = 14 and n = 20.

Applying all values to the formula: Z=\frac{104.3 - 100}{\frac{14}{\sqrt{20} } } = \frac{4.3}{\frac{14}{ 4.5} }=\frac{4.3}{3.1}=1.4

Then, this Z-value will give us the P-value by using the Z-table with the 0.05 level of significance. In table attached, we can see that the result is 0.9265. However, the P-value is 1 - 0.9265 = 0.735. We need to do this subtraction because, the result 0.9265 belong to the bigger area (as it's shown is the image in blue colour), and we need the smaller area, which belong to the 0.05 level of significance.

<em>In this problems, if the P-value is more than the level of significance, the null hypothesis is accepted. If the P-value is less than the level of significance the null hypothesis is rejected.</em>

Therefore, there is no enough evidence to say that the sample children have higher IQs, because the P-value is higher than the level of significance. (0.735>0.05).

5 0
2 years ago
US music is popular in Europe, and Japanese music is popular among many people in the US. This kind of artistic and
photoshop1234 [79]

Answer:

The correct answer is - A. cultural.

Step-by-step explanation:

The exchange of music, thus creating an artistic and entertainment connection between the people of different countries, regions, or continents is a nice example of cultural connection.

The music is part of the culture of the people, and all the people from every part of the world have their own specific type of music that complements their culture.

With the globalization process, people have been able to see and hear things from all around the world, thus managing to hear the music of all pats of the world. The Japanese and Korean music have experienced a real ''boom'' in popularity in the western world, as lot of people find it interesting, and the American music also reached new countries where it became the most popular, like in Europe for example.

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4 0
3 years ago
Read 2 more answers
PLEASE ANSWER AS QUICK AS POSSIBLE
Lady_Fox [76]

Answer:

  (a)  h^-1(x) = (x+6)/6

Step-by-step explanation:

The inverse relation can be found by solving for y: x = h(y).

<h3>Solution</h3>

  x = h(y) . . . . . the inverse relation

  x = 6y -6 . . . . . use the function definition

  x +6 = 6y . . . . add 6

  (x +6)/6 = y . . . . divide by 6

The inverse function is ...

  \boxed{h^{-1}(x)=\dfrac{x+6}{6}}

4 0
1 year ago
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This is quite simple. We will first add the amount of miles walked together.
3.25+5.5=8.75
Then we will divide 175 by the number of miles walked which in this case is 8.75.
Then we get 20 which is the amount of money that his parents donated for every mile that he walked.
4 0
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