When given points (1,1) and (2,2), what is the slope ?

Mathematics

1 answer:

scoray [572]3 years ago

7 0

Answer:

$m=1$

Step-by-step explanation:

Slope can be calculated using following formula

$m=\frac{y_2-y_1}{x_2-x_1}$ ----------- (1)

<u>Here</u>

$(x_1, y_1)=(1, 1) \ \ and \ \ (x_2, y_2) = (2, 2)$

Substitute values in equation (1)

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

$m=1$

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Answer:

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Step-by-step explanation:

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The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a standard

mezya [45]

Answer:

0.6563 or 65.63% of brook trout caught will be between 12 and 18 inches

Step-by-step explanation:

Mean trout length (μ) = 14 inches

Standard deviation (σ) = 3 inches

The z-score for any given trout length 'X' is defined as:

$z=\frac{X-\mu}{\sigma}$ e interval

For a length of X =12 inches:

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According to a z-score table, a score of -0.6667 is equivalent to the 25.25th percentile of the distribution.

For a length of X =18 inches:

$z=\frac{18-14}{3}\\z=1.333$

According to a z-score table, a score of 1.333 is equivalent to the 90.88th percentile of the distribution.

The proportion of trout caught between 12 and 18 inches, assuming a normal distribution, is the interval between the equivalent percentile of each length:

$P(12\leq X\leq 18) = 90.88\% - 25.25\%\\P(12\leq X\leq 18) = 65.63\%$