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-BARSIC- [3]
3 years ago
9

The table represents a function. Which value is an output of the function?

Mathematics
2 answers:
labwork [276]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

vagabundo [1.1K]3 years ago
5 0

Answer:

Option B. (-2)

Step-by-step explanation:

If a function is given in the form of f(x) = ax² + bx + c, then value of x is "input" and the value of the given function for x will be "output".

Means if we put the value x = 2 then 2 is the input and f(2) will be the output of the function.

Now from the given table output values of the function are 8, 3, -5, -2 and 12.

Now from the given values in the options (-2) matches with the output values.

Therefore Option B. (-2) is the output of the function.

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Answer:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

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Step-by-step explanation:

Information given

\bar X_{1}=14 represent the mean for sample 1 (younger)

\bar X_{2}=20 represent the mean for sample 2 (older)  

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=31 sample size for the group 2  

n_{2}=31 sample size for the group 2  

t would represent the statistic

System of hypothesis

We want to test if  that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=31+31-2=60  

Replacing the info given we got:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

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Hello,

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