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3 years ago

Which two sets of events are most likely independent?

Mathematics

1 answer:

Bumek [7]3 years ago

5 0

Answer:

A and C

Step-by-step explanation:

Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.

Options B and D give events which are most likely to be dependent, because if a driver texts while driving affects the possibility that the driver can get into the accident and if a woman lives in Alaska affects she can have a heavy winter coat.

Options A and C are two sets of most likely independent events, because the girl's singing does not affect on her wish to become a lawyer and a man's hair doesn't depend on where his father lives.

You might be interested in

Find the equation of the line that passes through (-1,2) and is perpendicular to 2 y = 2 x − 1 . Leave your answer in the form y

Bogdan [553]

The equation in slope-intercept form of the line that passes through the point (-1, 2) and is perpendicular to the line equation, $2 y = 2 x - 1$ is: $y = -x + 1$

Recall:

Equation of a line in slope-intercept form is: $y = mx + c$ , where, slope = m, and y-intercept = c.

Point-slope form is: $y - b = m(x - a)$

The slope value of a line will be the negative reciprocal of the slope of the line it is perpendicular to. i.e. if the slope of a line is a, the slope of the line that it is perpendicular to will be -a.

Given:

The line passes through point (-1, 2)

Equation of line it is perpendicular to is: $2 y = 2 x - 1$

To write the equation of the line that passes through (-1, 2), we need to find the slope value.

First, rewrite $2 y = 2 x - 1$ and find its slope.

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

The slope (m) of $2 y = 2 x - 1$ is therefore 1.

Thus, the slope (m) of the line that passes through (-1, 2) will be the negative reciprocal of 1 = -1.

Write the equation of the line by substituting (a, b) = (-1, 2) and m = -1 into $y - b = m(x - a)$ :

Thus:

$y - 2= -1(x - (-1))\\\\y - 2 = -1(x + 1)$

Rewrite this in the form of $y = m x + c$

Thus:

$y - 2 = -x - 1\\\\y = -x - 1 + 2\\\\y = -x + 1$

Therefore, the equation in slope-intercept form of the line that passes through the point (-1, 2) and is perpendicular to the line equation, $2 y = 2 x - 1$ is $y = -x + 1$

Learn more here:

brainly.com/question/12313302

6 0

3 years ago

In a survey of 23312331 adults, 730730 say they believe in UFOs. Construct a 99 %99% confidence interval for the population pro

serg [7]

Answer:

0.288 < p < 0.338

Step-by-step explanation:

We have 2331 adults polled and 730 said they believe in UFOs. We are to construct a 99% confidence interval for the population proportion. We are told to round to 3 decimal places as needed.

We need to find p-hat and q-hat

p-hat = 730/2331 = 0.313

q-hat = 1 - p-hat = 1 - 0.313 = 0.687

Since the sample size is greater than 30, we use a z-value for 99% confidence, which is 2.575

See attached photo for the construction of the confidence interval

8 0

3 years ago

Please help me with this I would give you 50 points.

kondor19780726 [428]

Answer:

Refer to image below:

Step-by-step explanation:

7 0

2 years ago

It takes Sue, Jeff and Todd 4 hours to paint a room together. If it takes Sue 10 hours by herself and Jeff 12 hours by himself,

diamong [38]

The number of time it would take Todd to paint the room alone is 15 hours.

Let the Todd's time be t.

Given the following data:

Combine time = 4 hours

Sue's time = 10 hours

Jeff's time = 12 hours

To calculate the number of time it would take Todd to paint the room alone:

How to solve a word problem:

In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.

For Sue:

$Rate = \frac{1}{10} \;work/hr$