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3 years ago

What is the equation of the line that is parallel to the line y = 3x - 4 and passe

Mathematics

1 answer:

lara31 [8.8K]3 years ago

8 0

Answer:

B. y= 3x -14

Step-by-step explanation:

To find the equation of a line that is parallel to the line y = 3x - 4 and passe

through the point (4,-2), we will follow the steps below;

Equation of a line is y=mx + c

where m is the slope and c is the intercept

To find the slope of the new equation, we will compare y =mx + c and y=3x - 4

The slope of the equation y = 3x-4 is 3

line that are parallel have the same slope, so the slope of the new equation is also m = 3

To find the intercept, we will substitute x=4, y = -2 and m =4 into the formula y =mx + c then solve for c

That is;

y = mx + c

-2 = 3(4) + c

-2 = 12 + c

subtract 12 from both-side of the equation

-2-12 = 12-12 + c

-14 = c

c= -14

we can now substitute m and c into the formula to form the new equation

y = mx + c

y = 3x -14

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3 years ago

A national survey of 2000 adult citizens of a nation found that 24% dreaded Valentine's Day. The margin of error for the surve

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Answer:

The correct option is (A).

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

$CI=\hat p \pm MOE$

The information provided is:

$\hat p$ = 0.24

MOE = 0.089

The 85% confidence interval for the population proportion of adults who dreaded Valentine's Day is:

$CI=\hat p \pm MOE$

$=0.24\pm 0.089\\=(0.151, 0.329)$

So, the 85% confidence interval for the population proportion of adults who dreaded Valentine's Day is (0.151, 0.329).

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

So, the 85% confidence interval for the population proportion, (0.151, 0.329), implies that there is 85% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.151 and 0.329.

Or there is 0.85 probability that the true proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.151 and 0.329.

Thus, the correct option is (A).

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