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kumpel [21]
3 years ago
6

A line passes through (3, –2) and (6, 2).

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0
A. Slope of the line = (-2 - 2) / (3 - 6)  = -4 / -3 = 4/3

the equation  required is  y - 2 = 4/3(x - 6)

b.  convert this to standard form:-

y - 2 = 4/3(x - 6)    Multiply through by 3:-
3y - 6  =  4(x - 6)
3y - 6 = 4x - 24

4x - 3y = 18  is the answer

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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
Seven increased by the<br> product of two numbers
Kobotan [32]

Answer: x ≥ 5

Step-by-step explanation:

7 is increased by the product of a number and 3:  7 + 3x

Is at least 22:  ≥ 22

 

Your equation is: 7 + 3x ≥ 22

subtract 7 from both sides

3x ≥ 15

divide both sides by 3

x ≥ 5

8 0
3 years ago
Which expression is equivalent to −19y+13 ?
Vikki [24]
The first thing you should do in this case is to write the expression correctly:
 - (1/9) y + (1/3)
 Now, we take out common factor (1/9) obtaining:
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 Let's check:
 1/9 (-y + 3)
 -1/9y + 3/9
 -1/9y + 1/3
 OK
  Answer: 
 An expression equivalent is: 
 1/9 (-y + 3)

4 0
3 years ago
Read 2 more answers
Now suppose that you have 2 individual and identical oranges. give a generating function for selecting from the oranges.
sweet-ann [11.9K]
12 is the correct answer
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In one year, a government collected about $6250 per person in taxes. If the population was 270,000,000, how much did the governm
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Answer:

1,687,500,000,000

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1) 270,000,000 x 6250

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