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3 years ago

13

Choose the equation that represents the line that passes through the point (6, −3) and has a slope of one half.

2 answers:

Goshia [24]3 years ago

7 0

Answer:

$y+3=\frac{1}{2} \left(x-6)$

Step-by-step explanation:

Point slope form:

$y-y_1=m\left(x-x_1\right)$

<em>Note: </em>

<em>m represents the slope</em>

<em>(x1,y1) represents the coordinate point</em>

Our answer would be $y+3=\frac{1}{2} \left(x-6)$

levacccp [35]3 years ago

3 0

Answer: Our equation will take the form of a linear equation, this is: Y = A*X +B passes through the point (6,-3)

this means that -3 = A*6 + B, and also the slope is 1/2, so A =1/2.

So we only need to know the value of B.

then if :

-3 = 1/2*6 - B = 3 + B

B = - 3 - 3 = -6

So our equation is: Y = 1/2*X - 6

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$(a)\ P(x = 0) = 0.2725$

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Step-by-step explanation:

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This question is an illustration of binomial probability, and it is represented as:

$P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}$

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Solving (b): $P(x \ge 1)$

To do this, we make use of compliment rule:

$P(x = 0) + P(x \ge 1) =1$

Rewrite as:

$P(x \ge 1) =1 - P(x = 0)$

$P(x \ge 1) =1 - 0.2725$

$P(x \ge 1) =0.7275$

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$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

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$P(x = 0) = 0.2725$

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$P(x = 1) = 8* (0.15) * (1 - 0.15)^7$

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$P(x \le 2) = 0.2725 + 0.3847 + 0.2376$

$P(x \le 2) = 0.8948$

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