At a movie theater, 360 people can see a particular movie over a period of 3 hours. At this
rate, how many people can see this movie over a period of 12 hours? (1 point)
A. 1,080
B. 1,440
C. 3,240
D. 4,320

Answer:

Company A: [tex]y=40x+50[/tex]

Company B: [tex]y=50x+25[/tex]

Step-by-step explanation:

The initial fee is the y-intercept, as that is the cost at x = 0, or the cost before any time has passed. Afterwards, the rate the cost increases is the slope.

Linear equation in slope-intercept form:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Company A charges $50 up front and $40 per hour afterwards, so the equation would be:

[tex]y=40x+50[/tex]

Company B charges $25 up front and $50 per hour, so:

[tex]y=50x+25[/tex]

Using the binomial distribution, it is found that:

For each person, there are only two possible outcomes, either they prefer saving, or they prefer spending. The preferences of each person are independent of any other person, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The expected value is:

[tex]E(X) = np[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)}[/tex]

In this problem:

Then:

[tex]E(X) = np = 4(0.6) = 2.4[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{2.4(0.6)(0.4)} = 0.76[/tex]

The histogram is sketched at the end of the answer.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

C 1/-3

Step-by-step explanation:

To find the slope I found two-point of the graph that were easy to point out and used rise over run to determine the slope!

In this case, rise was one because it went from -1 to 0 and run was -3 because it went from 0 to -3

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning form my mistakes:)

*Also if I am correct could you please mark me brainliest? I am trying to level up!!

Summarize given information. For every 7 quarters, theres three dimes. So divide 47 by 7 and multiply by 3 to find the amount of dimes. If there is a remainder left, further action must be taken.

47 / 7 = 6 (with remainder left over)  

In this case, only 42 would work therefore there are 5 extra quarters left. based on the number 6, there are 18 dimes and 42 quarters. Based on further calculations, of the five quarters left, there should be 2 dimes. So, the amount should become 20 dimes and 47 quarters leaving the percentage of 2.2 quarters per dime in this instant.

20 Dimes = $2

47 Quarters = $11.75

11.75 + 2 = 13.75

So there is about $13.75 in the jar.

Answer:

8(w+4)=5

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

100000+)9(87)238388292838

Answer:

The total cost of the motorcycle was $5,565.

Step-by-step explanation:

Answer:

1.556

Step-by-step explanation:

Divide

3 and 1 over 23

1

2

÷ 2 and 1 over 42

1

4

= 28 over 18

28

18

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

3 and 1 over 23

1

2

= ( 3 × 2 ) over 2

3 × 2

2

+ 1 over 2

1

2

= ( 6 + 1 ) over 2

6 + 1

2

= 7 over 2

7

2

Step 1 of 2: Divide, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 1 over 42

1

4

= ( 2 × 4 ) over 4

2 × 4

4

+ 1 over 4

1

4

= ( 8 + 1 ) over 4

8 + 1

4

= 9 over 4

9

4

Step 1 of 2: Divide, sub-step c: Divide.

Divide

7 over 2

7

2

÷ 9 over 4

9

4

= 7 over 2

7

2

× 4 over 9

4

9

= ( 7 × 4 ) over ( 2 × 9 )

7 × 4

2 × 9

= 28 over 18

28

18

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

Step 1 of 2: Divide.Hide

Step 2 of 2: Simplify.

Simplify

28 over 18

28

18

= 14 over 9

14

9

= 1 and 5 over 91

5

9

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

28 over 18

28

18

= ( 28 ÷ 2 ) over ( 18 ÷ 2 )

28 ÷ 2

18 ÷ 2

= 14 over 9

14

9

2 is the greatest common divisor of 28 and 18. Reduce by dividing both numerator and denominator by 2.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

14 over 9

14

9

= 1 and 5 over 91

5

9

14 ÷ 9 = 1 remainder 5

Answer:

1.5555555555556

Step-by-step explanation:

when you divide those numbers, thats your answer

Answer:

B) -43

Step-by-step explanation:

f(x) = -3x²+5

f(4) = -3(4)²+5

f(4) = -3(16)+5

f(4) = -48+5

f(4) = -43

Answer:

B) -43

Step-by-step explanation:

f(x) = -3x²+5

f(4) = -3(4)²+5

f(4) = -3(16)+5

f(4) = -48+5

f(4) = -43

Using the probability concept, it is found that there is a [tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.

A probability is the number of desired outcomes divided by the number of total outcomes.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Total outcomes:

3 segments from a set of 6 lengths, hence:

[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]

Desired outcomes:

Then:

[tex]p = \frac{D}{T} = \frac{7}{20}[/tex]

[tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.

To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717

Answer:

Um.... Wouldn't angle 1 just be 180-17 which is 163. Angle 3 would be equal to angle 1 so also 163. Angle 4 and angle 2 are equal to 17.

Step-by-step explanation:

Answer:

angle1 = 163°

angle2 = given in diagram

angle 3 = alternating angle 1, so 163°

angle 4 = alternating angle 2, so 17°

Step-by-step explanation:

noticing that the two lines intercept each other at the centre, making angles going around that interception point add up to 360° (you can use this information to check the answers).

an angle on a straight line is always 180°, so given that angle2 is 17°, you can already do 180 - 17 to get an easy answer to angle 1 and 3.

Answer:

34,000 ÷ 1000 =340

Step-by-step explanation:

Answer:

100, If you decide 34000 by 340 you can easily see it needs to be devided by 100 to get the answer

Answer: 50

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Answer:

63.1°

Step-by-step explanation:

Complementary angles sum 90°

90 - 26.9 = 63.1°

Answer:

lol wat r u doing .........

Answer:

30 because if u divided 120 by 4 its 30 and the parents get 1/4 so its 3....... 30/120

Answer:

I don't know sorry but have a nice time answering this question

Answer:

the discussion leader will moderate the discussion.

Answer:

The least common multiple of 12a^4b^2c^5 and 40a^3b^7c^1, is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]

Answer:

Step-by-step explanation:

f(x) = x² - 3x + 2

y = x² - 3x + 2

solve for x as a function of y

y - 2 = x² - 3x

complete the square by adding the square of half the x¹ coefficient to each side of the equation.

y - 2 + (-1.5)² = x² - 3x + (-1.5)²

      y + 0.25 = (x - 1.5)²

    [tex]\sqrt{y + 0.25}[/tex] = x - 1.5

                 x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]

now swap the x and y variables and revert to function notation

f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex]     domain is x ≥ -0.25

each input will have two outputs except where f(-0.25) = 1.5

The slope of a line is the average rate of change of the line.

The slope of the line would be 45

From the question, we understand that she can swim 90 meters in 2 minutes.

So, the slope (m) of the line of the graph would be

[tex]m=\frac{90 - 0}{2 - 0}[/tex]

Simplify the numerator, and the denominator

[tex]m=\frac{90}{2}[/tex]

Divide 90 by 2

[tex]m=45[/tex]

Hence, the slope of the line would be 45

Read more about slopes at:

https://brainly.com/question/4015585

Answer:

x-variable

Step-by-step explanation:

When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.

Answer:

1. Y is the variable terminated.

2. X = 1

3. Y = -1

4. (1,0) and (0,-1)

Step-by-step explanation:

After eliminating our Y variable we can solve for X. Our equation for X is 10x=10. After dividing both sides by 10 we get that X=1.

From there we can plug 1 of our previous equations. When we plug 1 in we get that both equations have an equal Y value of -1.

Our solution would be (1,0) and (0,-1)

Answer:15% , 0.15 , 6/40 or 3/20

Step-by-step explanation:

The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.

Answer:

3/20, 0.15, 15%

Step-by-step explanation:

Fraction:

6/40 un-simplified

3/20 simplified

Decimal:

0.15

Percentage:

15%

===================================================

Explanation:

Highlight the rows that correspond to 6 months and 10 months.

This leads to the two points (6,330) and (10,460).

Apply the slope formula. This is because the slope is the average rate of change.

m = (y2-y1)/(x2-x1)

m = (460-330)/(10-6)

m = 130/4

m = 32.5

This is the average rate of change from month 6 to month 10.

Let A = 32.5 so we can compare it later.

---------------------------

Now let's focus on months 4 and 8

We get the two points (4, 300) and (8, 410)

Use the slope formula again

m = (y2-y1)/(x2-x1)

m = (410-300)/(8-4)

m = 110/4

m = 27.5

Let B = 27.5

--------------------------

For the third answer choice, we have the points (2,240) and (8,410)

Once again, use the slope formula.

m = (y2-y1)/(x2-x1)

m = (410-240)/(8-2)

m = 170/6

m = 28.33 approximately

Let C = 28.33

--------------------------

Lastly for choice D we have the points (4,300) and (10,460)

So,

m = (y2-y1)/(x2-x1)

m = (460-300)/(10-4)

m = 160/6

m = 26.67 approximately

Let D = 26.67

--------------------------

To recap everything, we found these four average rates of change for choices A through D

We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.

Answer:

Step-by-step explanation:

tey to analyze the problems