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Arte-miy333 [17]
2 years ago
10

Write an equation in point-slope form of the line through point J(4,2) with slope 3.

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
5 0

Step-by-step explanation:

Given

slope (m) = 3

Point

( x1 , y1) = ( 4 , 2)

The equation of line is

y - y1 = m( x - x1)

y - 2 = 3( x - 4)

y - 2 = 3x - 12

3x - y - 12 + 2= 0

3x - y - 10 = 0

Which is the required equation

Hope it will help you :)

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How do you solve and the answer
AfilCa [17]
120 my boi, 3 x 4 x 10 would 120. If I am wrong please sue me for 6 sextillion atoms.
8 0
2 years ago
Read 2 more answers
A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon
____ [38]

Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

                            H_o : p = 0.05

Versus

 

                          H_1 : p \ne 0.05

Use α = 0.05. Find the P-value for the test

   

Answer:

The  p-value is  p-value =  0.5949        

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 300

    The number of defective circuits is  k = 13

Generally the sample proportion of defective circuits is mathematically represented as

        \^ p = \frac{k}{n}

=>     \^ p = \frac{13}{300}

=>     \^ p = 0.0433

Generally the standard Error is mathematically represented as

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

=>     SE  = \sqrt{\frac{0.05(1- 0.05)}{300} }

=>     SE  = 0.0126

Generally the test statistics is mathematically represented as

       z =  \frac{\^ p - p }{SE}

=>     z =  \frac{0.0433 - 0.05 }{0.0126}

=>     z =  -0.5317

From the z table  the area under the normal curve to the left  corresponding to  -0.5317  is

         (P < -0.5317 ) = 0.29747

Generally the p-value is mathematically represented as

       p-value =  2 * P(Z <  -0.5317 )

=>     p-value =  2 * 0.29747

=>     p-value =  0.5949        

     

3 0
3 years ago
Oceanside Bike Rental Shop charges 18 dollars plus 8 dollars an hour for renting a bike. Mary paid 74 dollars to rent a bike. Ho
sesenic [268]

Answer: 7 hours! you do 74-18 to get 56 then you divide 56 by 8 to get 7.

Step-by-step explanation:

hope this helps!!

7 0
2 years ago
A school district transported a total of 409 students and teachers to a zoo in buses and vans.
valina [46]

Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Step-by-step explanation:

Since we have given that

Total number of students and teachers = 409

Let the number of vans be x

Let the number of buses be x+5

Number of students and teachers each bus transported = 55

Number of students and teachers each van transported = 12

According to question,

55(x+5)+12x=409\\\\55x+275+12x=409\\\\67x=409-275\\\\67x=134\\\\x=\frac{134}{67}\\\\x=2

Total number of students and teachers who rode to the zoo in buses will be

55(x+5)\\\\=55(2+5)\\\\=55\times 7\\\\=385

Total number of students and teachers who rode to the zoo in vans will be

12x\\\\=12\times 2=24

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

6 0
2 years ago
Find the mean? Read question rest is done.
Ulleksa [173]

Answer:

I believe its 8

Step-by-step explanation:

9 + 10 + 13 + 2 +6 = 40 / 5 = 8

6 0
3 years ago
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