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2 years ago

The slope of the line below is 3. Use the coordinates of the labeled point to

Mathematics

1 answer:

Vinvika [58]2 years ago

8 0

Answer:

$y = 8+3x$

Step-by-step explanation:

Remember that the equation of the line is

$y-y_0 = m*(x-x_0)$

in this case we have

$y-8 = 3(x-0)$

that is because

$y_0 = 8, x_0 = 8 , m = 3$

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The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of

lora16 [44]

Answer:

The dimension of the sandbox is (2x+1) by (x - 3)

Step-by-step explanation:

It seems the complete question will be:

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of x.

Step-by-step explanation:

From the question, the given expression is 2X^2-5x-3. This can be rewritten as

$2x^{2} -5x-3$

If the area of the sandbox in park is represented by this expression, then the dimensions of the sandbox will be the product of the factors. To determine the factors, we will factorize the given quadratic expression.

Factorizing the expression $2x^{2} -5x-3$ , we get

$2x^{2} -6x+x-3$

$2x(x-3)+1(x-3)$

$(2x+1)(x-3)$

Hence, the dimension of the sandbox is (2x+1) by (x - 3)

6 0

3 years ago

Steps for solving 3x+18=54 are shown explain how step 1 helps solve the equation

Dennis_Churaev [7]

Answer:

The answer is x=12.

Step-by-step explanation:

First, to solve this equation you need to isolate the x variable. To isolate the variable, you must, subtract the other term from both sides. Subtracting 18 from both sides, you are left with 3x = 36. Since 3 times x = 36, dividing both sides by 3 gets you, x=12.

4 0

2 years ago

A clerk at Agency Y has determined that at speeds of 25 pages per minute it is typical for 3 out of every 100 pages she photocop

nalin [4]

Answer:

180 pages

Step-by-step explanation:

Since her photocopy session is 25 pages per minute, the total number of pages photocopied in 4 hour session can be calculated as;

number of pages = time × speed

= (4 × 60) × 25

= 240 ×25

= 6000 pages

Thus, number of pages photocopied in 4 hours is 6000.

For every 100 pages, 3 would contain some type of printing error. The number of pages she expect with printing error during 4 hour session can be determined as;

= $\frac{6000}{100}$ × 3

= 60 × 3

= 180 pages

The expected number of pages with printing error during 4 hour photocopying session is 180 pages.

3 0

3 years ago

Smallest 5 digit even number

FromTheMoon [43]

1,0000. It is the smallest 5 digit even number and happens to be odd

5 0

3 years ago

A rare form of malignant tumor occurs in 11 children in a million, so its probability is 0.000011. Four cases of this tumor occ

Shkiper50 [21]

Answer:

a) The mean number of cases is 0.14608 cases.

b) The probability that the number of cases is exactly 0 or 1 is 0.990.

c) The probability of more than one case is 0.010

d) No, because the probability of more than one case is very small

Step-by-step explanation:

We can model this problem with a Poisson distribution, with parameter:

$\lambda=r*t=0.000011*13,280=0.14608$

a) The mean amount of cases is equal to the parameter λ=0.14608.

b) The probability of having 0 or 1 cases is:

$P(k=0)=\frac{\lambda^0 e^{-\lambda}}{0!}=\frac{1*0.864}{1} =0.864\\\\ P(k=1)=\frac{\lambda^1 e^{-\lambda}}{0!}=\frac{0.14608*0.864}{1} =0.126\\\\P(k\leq1)=0.864+0.126=0.990$

c) The probability of more than one case is:

$P(k>1)=1-P(k\leq 1)=1-0.990=0.010$

d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.

7 0

3 years ago