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olchik [2.2K]
3 years ago
6

What is the point-slope form of a line that has a slope of 3 and passes through the point (-1, 4)?

Mathematics
2 answers:
Alecsey [184]3 years ago
8 0

Answer:

its A   Y- 4=3(X-1)

Step-by-step explanation:

Keith_Richards [23]3 years ago
5 0

Answer:

Step-by-step explanation:

hello :

the point-slope formula is :  

y - y_1 = m(x - x_1) the point is A(x_1 , y_1 ) , m : the slope

in this exercice :  x_1 = -1            y_1 = 4             m = 3 

so : y - 4 = 3(x +1)   ...an equation for this line .

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10. The Johnson family purchased a new television that had a 62 inch diagonal. The height of the television was 30 inches. Appro
lana66690 [7]

Answer:

Width = 54.3 inches

Step-by-step explanation:

We solve this question using the Pythagoras Theorem

Width² + Height² = Diagonal²

From the above question

Width= ??

Height = 30 inches

Diagonal = 62 inches

Width² + 30² = 62²

Width² = 62² - 30²

Width = √62² - 30²

Width =✓2944

Width = 54.258639865 inches

Approximately

Width = 54.3 inches

Hence, the new television was 54.3 inches wide.

7 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
The ratio of the rise to the run of the given triangle is __
Lemur [1.5K]

Answer:

1) 5/2 or 2.5

2) 5/2 or 2.5

Step-by-step explanation:

1) 5/2 = 2.5

2) 10/4 = 5/2 = 2.5

Because the hypotenuse of both are the segments of the same line and straight lines have the same gradient for all segments

4 0
3 years ago
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6 0
3 years ago
A store that sells skis buys them from a manufacturer at a wholesale price of $60. The store's markup rate is 50%. What price do
horsena [70]

Answer:

$90

Step-by-step explanation:

To solve this problem, you simply multiply $60 by 50%. Remember to change 50% into its decimal form (50% -> 0.5).

60 x 0.5 = 30

Now we add 30 to the original price of $60 to get our final answer.

$60 + 30 = $90

3 0
3 years ago
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