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3 years ago

4.07 Discussion: Staying on Track

1 answer:

3 0

Answer:you should always stay true to yor self so when you set a goal for your self live up to yor goal and the promise that you made to your self, you should always be strong and contril your self and get done what needs to be done not what you want to be done

Explanation:

your brain works for you

not you working for it

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Find the values of k and b if it is known that the graph of y=kx b goes through points (2, 10) and (−7, −10).

andreev551 [17]

The values of k and b of this graph that passes through the given points is $k = \frac{20}{9}$ and $b = \frac{-50}{9}$

<u>Given the following points:</u>

Points on the x-axis = (2, -7)

Points on the y-axis = (10, -10)

$y = kx + b$ .....equation 1.

To find the values of k and b since the graph passes through the given points:

First of all, we would determine the slope of the graph passing through the given points.

$Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the points into the formula, we have;

$Slope. \;m = \frac{-10 - 10}{-7 - 2}\\\\Slope. \;m = \frac{-20}{-9}\\\\Slope. \;m = \frac{20}{9}$

The standard form of an equation of line is given by the formula;

$y = mx + b$ ....equation 2

<u>Where:</u>

x and y are the points.

m is the slope.

b is the intercept.

Next, we would determine the intercept of the graph:

$10 = \frac{20}{9}(2) + b\\\\10 = \frac{40}{9} + b\\\\b = \frac{40}{9} - 10\\\\b = \frac{40\; - \;90}{9}\\\\b = \frac{-50}{9}$

The standard form of this equation of line is:

$y = \frac{20}{9}x - \frac{50}{9}$ .....equation 3.

Comparing eqn 1 and eqn 3, we can deduce:

$k = \frac{20}{9}$ and $b = \frac{-50}{9}$

Therefore, the values of k and b of this graph that passes through the given points is $k = \frac{20}{9}$ and $b = \frac{-50}{9}$

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3 years ago

Booker t. washington is noted for which of the following?

Andrej [43]

Answer: C. Establishing the Tuskegee Institute

Explanation:

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An example of a natural monopoly product is

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Airplane manufacturing water service

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3 years ago

Consider a set of cards that has four cards labeled 1, 2, 3, and 4. Suppose you pick two cards, without replacement, to obtain t

Phantasy [73]

Answer:

$\begin{array}{cccccc}{Mean} & {1.5} & {2} & {2.5} & {3} & {3.5}\ \\ {Probability} & {\frac{1}{6}} & {\frac{1}{6}} & {\frac{1}{3}} & {\frac{1}{6}} & {\frac{1}{6}}\ \end{array}$

Explanation:

Given

$Cards = \{1,2,3,4\}$

Required

The sampling distribution

The possible selection of 2 cards without replacement is as follows:

$S = \{(1,2) (1,3) (1,4) (2,1) (2,3) (2,4) (3,1) (3,2) (3,4) (4,1) (4,2) (4,3)\}$

Calculate the mean

$\begin{array}{cccccccccccc}{Selection} & {(1,2)} & {(1,3)} & {(1,4)} & {(2,1)} & {(2,3)} & {(2,4)}& {(3,1)} & {(3,2)} & {(3,4)} & {(4,1)} & {(4,2)} & {(4,3)} \ \\ {Mean} & {1.5} & {2} & {2.5} & {1.5} & {2.5} & {3} & {2} & {2.5} & {3.5} & {2.5} & {3} & {3.5}\ \end{array}$

List out the mean and the respective frequency

$1.5 \to 2$

$2 \to 2$

$2.5 \to 4$

$3 \to 2$

$3.5\to 2$

$Total \to 12$

Calculate the probability of each mean

$P(1.5) \to \frac{2}{12} \to \frac{1}{6}\\$

$P(2) \to \frac{2}{12} \to \frac{1}{6}\\$

$P(2.5) \to \frac{4}{12} \to \frac{1}{3}\\$

$P(3) \to \frac{2}{12} \to \frac{1}{6}\\$

$P(3.5) \to \frac{2}{12} \to \frac{1}{6}$

So, the table of sampling distribution is:

$\begin{array}{cccccc}{Mean} & {1.5} & {2} & {2.5} & {3} & {3.5}\ \\ {Probability} & {\frac{1}{6}} & {\frac{1}{6}} & {\frac{1}{3}} & {\frac{1}{6}} & {\frac{1}{6}}\ \end{array}$

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3 years ago

Complete the expression so it forms a perfect-square trinomial. x² - 5x

Mekhanik [1.2K]

Answer:

25/4

Explanation:

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2 years ago

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