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3 years ago

Find the equation of a line passing through ( -1/2,1/2) with a slope of 5.

2 answers:

6 0

First check the gradient - the number before the x which is 5 of course.
Then use the formula...
y - b = m(x - a) using the gradient m = (5) and the coordinate you have which is (-1/2,1/2)
( a b)

So...
y- b = m (x - a)
y - 1/2 = 5 ( x - (-) 1/2)
y - 1/2 = 5 ( x + 1/2)
y - 1/2 = 5x + 2.5
<u>y = 5x + 3 (C)</u>

Hope that helped

Evgen [1.6K]3 years ago

3 0

The correct answer is c because when I graphed each one the only one that passed through your given coordinate was that equation

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Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

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Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

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