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Natali [406]
3 years ago
8

Which input value produces the same output value for the

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0

Answer:

The input value that produces the same output value for the  two functions on the graph is x = -2

It's important to know some concepts:

 1. INPUT: Also called the domain of the function, it Is the set of all x-values for which the function is defined.

 2. OUTPUT: Also called the range of the function, it is the set of all y-values for which the function is defined.

So we need to know which of the following inputs produces the same output value for the  two functions on the graph

x=-3

x=-2

x=-1

x=3

By looking at the graph we can realize that the input value that produces the same output value for the two functions on the graph is the point of intersection of these graph, that is:

the point at x=-2

And the output value is the y-value:

y=1

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Nutka1998 [239]

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70

Step-by-step explanation:

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3 0
3 years ago
A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer
OLEGan [10]

Answer:

The probability is  P( p <  0.9207) = 0.0012556

Step-by-step explanation:

From the question we are told

  The population proportion is p = 0.96

 The sample size is  n  =  227

 The number of graduate who had job is  k = 209

Generally given that the sample size is large enough  (i.e n >  30) then the mean of this sampling distribution is  

       \mu_x = p = 0.96

Generally the standard deviation of this sampling distribution is  

    \sigma  = \sqrt{\frac{p (1 - p )}{n} }

=>  \sigma  = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }

=>  \sigma  = 0.0130

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{k}{n}

=> \^ p =  \frac{209}{227}

=> \^ p =  0.9207

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

     P( p <  0.9207) = P( \frac{\^ p - p }{\sigma } <  \frac{0.9207 - 0.96}{0.0130 }  )

\frac{\^ p - p}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )

   P( p <  0.9207) = P(Z< -3.022 )

From the z table  the area under the normal curve to the left corresponding to    -3.022  is

     P(Z< -3.022 ) = 0.0012556

=> P( p <  0.9207) = 0.0012556

6 0
3 years ago
Find the length of<br> __<br> JK<br> Round answer to nearest tenth.
PIT_PIT [208]

Answer:

Step-by-step explanation:

We would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

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JK² = JL² + KL² - 2(JL × KL)Cos10

JK² = 61² + 53² - 2(61 × 53)Cos10

JK² = 3721 + 2809 - 6466Cos10

JK² = 6530 - 6367.767

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Taking square root of both sides of the equation, it becomes

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6 0
2 years ago
a bike wheel is 26 inches in diameter. what is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Setler [38]
If you would like to know the bike wheel's diameter in millimeters, you can calculate this using the following steps:

26 inches in diameter
1 inch = 25.4 millimeters
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The correct result would be 660.4 millimeters in diameter.
5 0
3 years ago
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PolarNik [594]

Answer:

The answer is d        

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Step-by-step explanation:

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