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vampirchik [111]

2 years ago

7

A linear function has the table of values shown. The information in the table shows the number of tickets sold on opening night

of a movie as a function of the number of hours since the tickets have been on sale. Number of Hours (x) 2 6 18
Number of Tickets Sold (y) 64 192 576

1.Write the equation that gives the number of tickets sold, y, as a linear function of the number of hours, x, since the tickets have been on sale.

1 answer:

MatroZZZ [7]2 years ago

5 0

The equation that represents the linear function is y =32x

<h3>What is a linear function?</h3>

The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope

A linear function is represented as:

$y=mx+c$

Where

m represents slope
c represents the y-intercept

The slope is calculated as:

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

So, we have:

$m = \frac{576 - 64}{18-2}$

$m = \frac{512}{16}$

$m = 32$

The linear equation is then calculated as:

$y =m(x -x_1) + y_1$

So, we have:

$y =32(x -2) + 64$

$y =32x -64 + 64$

$y =32x$

Hence, the equation that represents the linear function is y =32x

Read more about linear functions at:

brainly.com/question/14323743

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Risa is sewing a ribbon around the sides of a square blanket. Each side of the blanket is 72 inches long, how many inches of the

vaieri [72.5K]

72*4=288in of ribbon

5 0

3 years ago

In the healthy handwashing survey conducted by Bradley Corporation, a study was found that 64% of adult Americans operate the fl

Hitman42 [59]

Answer:

<em>A) It fulfills the condition of binomial experiment</em>

<em>B) P (x=12) =0.1678</em>

<em>C)P ( x ≥16)= 0.1011</em>

<em>d) P (x>17) =0.0096 < 0.5</em>

Step-by-step explanation:

A. The binomial probability distribution has the following four properties

1. the outcomes of each trial maybe classified into success and failure.

2) the probability of success p remains constant for all trials.

3) the successive trials are all independent.

4) the experiment is repeated a fixed number of times ,n.

<em>These all conditions are fulfilled by the given question so it is a binomial experiment. </em>

<em></em>

B) P (x=12) = 20C12 (0.64)^12 * (1-0.64)^8= 0.1678

C) P ( x ≥16) = P (x=16) + P (x=17) + P (x=18) + P (x=19)+ P (x=20)

where

P (x=16)= 20C16 (0.64)^16 * (1-0.64)^4= 0.0645

P (x=17)= 20C17 (0.64)^17 * (1-0.64)^3= 0.0270

P (x=18)= 20C18 (0.64)^18 * (1-0.64)^2= 0.0080

P (x=19)=20C19 (0.64)^10 * (1-0.64)^1= 0.0015

P (x=20)= 20C20 (0.64)^20 * (1-0.64)^0= 0.0001

so

P ( x ≥16)= 0.0645+ 0.0270 +0.0080+ 0.0015+0.0001= 0.1011

d) P (x>17)= P (x=17) + P (x=18) + P (x=19)+ P (x=20)

=0.0270 +0.0080+ 0.0015+0.0001

=0.0096

From this we see that the probability of more than 17 people who flush public toilets with their foot is unusual because it is far away from the mean which is supposed to be somewhere 0.5 in a given distribution.

8 0

3 years ago

What does 108 × 1/3 equal?

Alisiya [41]

Answer:

It would be 36

Explanation:

<em>First:</em>

<em>Convert any mixed numbers to fractions.</em>

<em>Then your initial equation becomes:</em>

<em>108/1 ×1/3</em>

<em> </em>

<em>Applying the fractions formula for multiplication,</em>

<em>=108×1/1×3 = 108/3</em>

<em> </em>

<em>Simplifying 108/3, the answer is</em>

<em>=36</em>

hope it helped. :)

5 0

3 years ago

4. Write an equation for the line that is parallel to the given line and that passes

pentagon [3]

Answer:

$y=\frac{5}{2}x-14$

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

$y=\frac{5}{2}x-10$

In the given equation, $\frac{5}{2}$ is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of $\frac{5}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{5}{2}x+b$

<u>2) Determine the y-intercept (b)</u>

$y=\frac{5}{2}x+b$

Plug in the given point (-6,-29) and solve for b

$-29=\frac{5}{2}(-6)+b$

Simplify -6 and 2

$-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b$

Add 15 to both sides to isolate b

$-29+15=-15+b+15\\-14=b$

Therefore, the y-intercept is -14. Plug this back into $y=\frac{5}{2}x+b$ :

$y=\frac{5}{2}x-14$

I hope this helps!

4 0

3 years ago

Brianna is playing a video game and loses 3.5 lives. Later she gains 6 more lives. What is the overall change in Brianna's total

fredd [130]

It depends how much she begins with but if she doesn’t begin with any then it’d be 2.5

5 0

3 years ago

Read 2 more answers