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4 years ago

Square root of 216k4

Mathematics

1 answer:

serious [3.7K]4 years ago

5 0

Answer: $6 k^{2} \sqrt{6}$

36 can be pulled out from 216, leaving 6 behind, and the square root of k^4 is k^2.

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Use the graph to find the slope and y-intercept to write the equation in slope-intercept form.

Fiesta28 [93]

Answer:

$m = -\frac{1}{2}$

$y\ intercept = -1$

$y = -\frac{1}{2}x -1$

Step-by-step explanation:

Given

$(x_1,y_1) = (-2,0)$

$(x_2,y_2) = (0,-1)$

Required

Determine the slope and y intercept from graph

To calculate the slope, we have:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-1-0}{0 - (-2)}$

$m = \frac{-1}{0 +2}$

$m = -\frac{1}{2}$

The y intercept is when $x = 0$

So,

$y\ intercept = -1$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives

$y = -\frac{1}{2}(x - (-2)) + 0$

$y = -\frac{1}{2}(x - (-2))$

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

$y = -\frac{1}{2}x -\frac{1}{2}*2$

$y = -\frac{1}{2}x -1$

<em>See attachment for graph</em>

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Answer for this question is D

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Simplify: 5(3x-4)-6(2x+3)

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Step-by-step explanation:

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Answer:

$P(X = 0) = 0.64$

$P(X = 1) = 0.11$

$P(X = 2) = 0.25$

b) 0.75 = 75% probability that he makes no more than one of the shots

Step-by-step explanation:

We have these following probabilities:

64% = 0.64 probability that he misses both shots, that is, makes none of them.

11% = 0.11 probability that he makes one shot.

25% = 0.25 probability that he makes both shots.

a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.)

Binomial probability distribution, in which P(X = x) is the probability of making x shots. So

$P(X = 0) = 0.64$

$P(X = 1) = 0.11$

$P(X = 2) = 0.25$

b. What is the probability that he makes no more than one of the shots? (Round your answer to 2 decimal places.)

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.64 + 0.11 = 0.75$

0.75 = 75% probability that he makes no more than one of the shots

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Ronan spent $306 for 17 tickets how much will one ticket cost

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Each ticket cost 18$

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