Which graph below shows the solutions for the linear inequality ys x-3?

Mathematics

1 answer:

liraira [26]3 years ago

4 0

Answer:

Graph A.

Step-by-step explanation:

Given the inequality: $y\leq \dfrac{1}{4}x-3$

Since the sign is "less than or equal to", the line cannot be dotted. Therefore, Options C and D are incorrect.

Since the sign is a "less than" sign, the required region must be below the line. Therefore, the graph which shows the given inequality is Graph A.

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US Department of Transportation As part of a study on transportation safety, the US Department of Transportation collected data

Nonamiya [84]

Answer:

we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974

it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

Step-by-step explanation:

WITH THE GIVEN DATA

A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21

to fit into a regression line we must have ∝ and β

where β = $\frac{S_{xy} }{S_{xx} }$ = 0.2871

and ∝ = y - βx = - 1.5974

regression line = ∝ + β * x

insert values into regression line equation

regression line = -1.5974 + 0.2871 * x

we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974

B ) conclusion and recommendations can you derive from your analysis

it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

using the correlation coefficient ( r ) = $\frac{S_{xy} }{\sqrt{S_{xx}*S_{xy} } }$ = 0.8394