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mihalych1998 [28]
3 years ago
9

Write a function equation that represents a line that contains the two points (-3, 5) and (2, 10).

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0

Step-by-step explanation:

1. 1st of all calculate the gradient

( - 3, 5) ( 2, 10)

Gradient = (10 - 5) / ( 2--3)

= 1

2. Then find the eq

Y = mx + c

Where m is the gradient

y= 1x + c

Now replace any 2 coordinates from above in the eq.

For ex I'm taking (2, 10)

Y = 1x + c

In the coordinate, x = 2 and y =10

By replacing this in the eq, I will find c

10 = 1(2) + c

2 + c = 10

c = 10 - 2

= 8

So the eq is y = x + 8 ⬅️

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Answer:

Step-by-step explanation:

4b - 6d = 4*7 - 6*3

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An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a
MAVERICK [17]

Answer:

Probability Mass Function:

   x:          0                         1                            2                          3

P(x):          0.000064          0.004608             0.115902             0.884736

Step-by-step explanation:

We are given the following information:

We treat correct classification  as a success.

P(correct classification) = 0.96

Then the number of classification follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3 and x = 0, 1, 2, 3

We have to evaluate:

P(x = 0)\\= \binom{3}{0}(0.96)^0(1-0.96)^3\\=0.000064

P(x = 1)\\= \binom{3}{1}(0.96)^1(1-0.96)^2\\=0.004608

P(x = 2)\\= \binom{3}{2}(0.96)^2(1-0.96)^1\\=0.115902

P(x = 3)\\= \binom{3}{3}(0.96)^3(1-0.96)^0\\=0.884736

PMF:

   x:          0                         1                            2                          3

P(x):          0.000064          0.004608             0.115902             0.884736

8 0
3 years ago
The resistance, R of a wire varies directly as the length, l, and inversely as the diameter, d, squared. If R is 1.50ohms when l
tatyana61 [14]

Answer:

resistance is 1.5 ohms (1.5 Ω)

Step-by-step explanation:

R varies directly with l

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We can set-up a proportionality statement as shown below:

R=k\frac{l}{d^2}

Now, Given,

R = 1.50

l = 2

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We substitute and find k (the proportionality constant):

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Now, we will use this value of k to solve the problem.

Given,

l = 8

d = 3

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k = 1.6875

We find R:

R=k\frac{l}{d^2}\\R=1.6875\frac{8}{3^2}\\R=\frac{1.6875*8}{9}\\R=1.5

The resistance is 1.5 ohms (1.5 Ω)

3 0
3 years ago
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