Determine the amplitude of the trigonometric function: *attached image*

Determine The Amplitude Of The Trigonometric Function: *attached Image*

Answers

Answer 1

Answer:

[tex]\displaystyle 2[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2} \hookrightarrow \frac{\frac{2}{3}\pi}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{6}}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2cos\:\frac{\pi}{3}x + \frac{1}{2},[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will horisontally shift and map the graph onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between the two photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle 2\:units[/tex]to the left, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph FORWARD [tex]\displaystyle 2\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{2} = \frac{\frac{2}{3}\pi}{\frac{\pi}{3}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}.[/tex]Intermediate, we have two sine graphs to deal with [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2sin\:\frac{\pi}{3}x + \frac{1}{2}.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle \frac{1}{2}\:unit[/tex]to the left, which means that in order to match the leftward sine graph, we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{2}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{\frac{1}{2}} = \frac{\frac{\pi}{6}}{\frac{\pi}{3}}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-2\frac{1}{2}, \frac{1}{2}],[/tex]from there to [tex]\displaystyle [3\frac{1}{2}, \frac{1}{2}],[/tex]they are obviously [tex]\displaystyle 6\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 6.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = \frac{1}{2},[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Determine The Amplitude Of The Trigonometric Function: *attached Image*
Determine The Amplitude Of The Trigonometric Function: *attached Image*
Determine The Amplitude Of The Trigonometric Function: *attached Image*
Determine The Amplitude Of The Trigonometric Function: *attached Image*

Related Questions

Based on the family the graph below belongs to, which equation could represent the graph?

Answers

Answer:

its A

Step-by-step explanation:

just took the test

Answer:

The first graph on edge 2021

A salesperson uses random digit dialing to call people and try to interest them in applying for a charge card for a large department store chain. From past experience, she is successful on 2% of her cals. in typical working, she makes 50 calls. Let X be the number of calls on which she is unsuccessful.

a. This is binomial distribution. Explain using the BINS method why this is so.
b. Find the mean and standard deviation of X. Leave answer to 4 d.p
c. Find the probablity of P(X>or equal to 48)

Answers

Answer:

a)

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b) The mean is 1 and the standard deviation is 0.9899.

c) [tex]P(X \geq 48) = 0[/tex]

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The expected value of the binomial distribution is:

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

The standard deviation of the binomial distribution is:

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

From past experience, she is successful on 2% of her calls.

This means that [tex]p = 0.02[/tex]

50 calls.

This means that [tex]n = 50[/tex]

a. This is binomial distribution. Explain using the BINS method why this is so.

BINS: Binary outcomes, Independent Trials, n is fixed, and same value of p for all trials.

In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.

b. Find the mean and standard deviation of X.

The mean is:

[tex]E(X) = np = 50*0.02 = 1[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.02*0.98} = 0.9899[/tex]

The mean is 1 and the standard deviation is 0.9899.

c. Find the probablity of P(X>or equal to 48)

This is:

[tex]P(X \geq 48) = P(X = 48) + P(X = 49) + P(X = 50)[/tex]

In which

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

[tex]P(X = 48) = C_{50,48}.(0.02)^{48}.(0.98)^{2} \approx 0[/tex]

[tex]P(X = 49) = C_{50,49}.(0.02)^{49}.(0.98)^{1} \approx 0[/tex]

[tex]P(X = 50) = C_{50,50}.(0.02)^{50}.(0.98)^{0} \approx 0[/tex]

So

[tex]P(X \geq 48) = 0[/tex]

my math grade currently is a 96%. i get a 55% on a math test. the weight of the test is 50% of my grade. what would my grade be?

Answers

Answer:

h

Step-by-step explanation:

g

Which measure would change if you replaced 67 with 115
23, 89, 15, 67, 32, 41
A. Lower quartile
B. Mean
C. Mode
D. Median
HELP PLEASE! ​

Answers

Mean
As this value is greater than 67 and the highest number in original sequence

How many solutions do the systems of equations have?
y =-1/3 x + 9
y =- 2/6x

Answers

The answer is: No solution.

Explanation:
The slopes are the same (-1/3 is the same as -2/6 because -2/6 can be simplified to -1/3) but the y intercepts are different.

Find Mn to the nearest tenth

Answers

Answer:

B. 23.8

Step-by-step explanation:

Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)

c = length of side you are finding

a = length of side a

b = length of side b

y =angle opposite c

The capacity of a tank is 60 000 litres. It is being filled at a rate of 1250 litres per hour. How long will it take to fill of the 5/8 of the tank?

Answers

Answer:

48

Step-by-step explanation:

60 000 / 1250 = 48

The questions on a multiple choice test have four answer choices.

Which of the following models could you use to simulate the outcome of guessing the correct answers to a 50-question test?



(HINT: Remember to choose a model with the same number of possible outcomes as each test question.)

Group of answer choices

A. flipping a coin 50 times

B. spinning a spinner with 4 equal sections 50 times

C. rolling a 6-sided die 50 times

D. spinning a spinner with 50 equal sections four times

Answers

Answer: spinning a spinner with 4 equal sections 50 times

Step-by-step explanation:

The models that one can use to simulate the outcome of guessing the correct answers to a 50-question test will be to spinn a spinner with 4 equal sections 50 times.

Flipping a coin 50 times is wrong since the coin only has two outcomes which are head and tail. Rolling a 6-sided die 50 times is also wrong.

Therefore, the correct option is B.

pls help i have been doing this for 5 hours i will mark brainliest PLEASE I JUST NEED THE RIGHT ANSWER

Answers

Answer:

[tex]p = 7[/tex]

Step-by-step explanation:

So the key is that a line has a measure of 180 degrees. Notice the square between the rays. That is a 90-degree angle. So let's add this up and see what's going on

[tex](5p + 2) + 90 + (7p + 4) = 180[/tex]

[tex]12p + 96 = 180[/tex]

[tex]12p = 84[/tex]

[tex]p = 7[/tex]

Answer:

p = 7

Step-by-step explanation:

From the diagram, we can see that all the angles given form a straight line, and therefore add up to 180°.

We can create an equation with what is given:

***The angle with the square marked is 90°.

5p° + 2° + 90° + 7p° + 4° = 180°

You can combine the like terms, getting:

12p° + 96° = 180°

Now, subtract 96° from both sides:

12p° = 84°

Now, divide by 12°, and get:

p = 7

Given parallelogram ABCD Find the area

Answers

Answer:

Area = ab sinx

Area = (8)(18) sin32

Area  = 144 sin32

Area = 79.41

People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs.

x P(x)
0 0.05
1 0.49
2 0.25
3
4 0.08
5 0.03

Describe the random variable X in words.

a. X is the number of DVDs a customer rents.
b. X is the number of times a single customer comes into the store.
c. X is the number of DVDs a customer owns.
d. X is the total number of DVDs rented at the store.
e. X is the number of customers that come into the store

Answers

Answer:

a. X is the number of DVDs a customer rents.

Step-by-step explanation:

The distribution states that:

0.05 = 5% probability a customer rents no DVDs

0.49 = 49% probability a customer rents 1 DVD

...

0.03 = 3% probability a customer rents 5 DVDs.

Thus, the random variable X is the number of DVDs a customer rents, and the correct answer is given by option A.

Will give brainliest

Below, the two-way table is given for a
class of students.
Sophomore
Freshmen
Juniors
Seniors
Total
Male
4
6
2
2
Female
3
4
6
3
Total
If a student is selected at random, find the
probability the student is a senior given that it's
female. Round to the nearest whole percent.
[?]%

Answers

Answer:

19%

Step-by-step explanation:

Total Females = 3 + 4 + 6 + 3  = 16

Number of female seniors = 3

P ( Female | senior )

number of female seniors / total female  = [tex]\frac{3}{16}[/tex]

In percent,

[tex]\frac{3}{16}[/tex] · 100 = 0.1875 · 100 = 18.75%

18.75% rounded to nearest whole percent is 19%

The required probability is 3/4= 75%, the probability the student is a senior given that it's female.

What is the probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

here, we have,

We have to compute the probability,

P(Female |Junior) because we have to find the probability of the female student and the given condition is that the student is junior.

Determine the total number of juniors. Juniors=2+6=8

Since the number of females who are junior is 6, determine the required probability.

P(Female|Junior)=6/8=3/4

Therefore, the required probability is 3/4 = 75%

To learn more about the probability visit:

brainly.com/question/24756209

#SPJ7

Which of the following are examples of irrational numbers? Select all that apply.
V4 + V16
15+ 36
√9+ /24
2.v4
49.81

Answers

Answer:

A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction. An irrational number is a number that is NOT rational. It's the complete opposite!

= 2 + 4 = 6 ↔ rational

= 2 * 2 = 4 ↔ rational

= 7 + 9 = 16 ↔ rational

Hope this helps!!

A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.

Zoom in if you cannot see!

Don’t answer if you don’t know the answer. Whoever gets the correct answer will get Brainliest! :)

Answers

Answer:

Option B, would be the correct answer: 75 labels per minute

Step-by-step explanation:

The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{150}{2}[/tex]

Slope = 75

Hope this helps!

I think it’s 150 since 1 minute= 150 labels

Find X. Please show steps, thank you.

Answers

Answer:

C=10

Step-by-step explanation:


(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.

So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(​

Answers

Answer:

I think its 3,600... plz let me know if I'm wrong

Step-by-step explanation:

300,000 x 0.012 or %1.2 (they're the same thing) = 3,600

The first 4 terms of a 10-term geometric series are listed below. Which expression represents the sum
of the series?
16
25
8 + 4 + 10 +...+ 210
5

Answers

Given:

First 10 term of a geometric series are:

[tex]\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10[/tex]

To find:

The expression that  represents the sum of the series.

Solution:

The first term of the given geometric series is:

[tex]a_1=\dfrac{16}{25}[/tex]

The common ratio of the given geometric series is:

[tex]r=\dfrac{a_2}{a_1}[/tex]

[tex]r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}[/tex]

[tex]r=\dfrac{8}{5}\times \dfrac{25}{16}[/tex]

[tex]r=\dfrac{5}{2}[/tex]

The sum of first n terms of a geometric sequence is:

[tex]S_n=\dfrac{a_1(1-r^n}{1-r}[/tex]

Where r is the common ratio.

Putting [tex]a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10[/tex] in the above formula, we get

[tex]S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex]

Therefore, the correct option is C, i.e., [tex]\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex].

Answer:

the answer is option c or 16/25 ( 1 - ( 5/2 )^10 / 1 - 5/2)

Step-by-step explanation:

A study of the career paths of hotel general managers sent questionnaires to an SRS of 230 hotels belonging to major U.S. hotel chains. There were 109 responses. The average time these 109 general managers had spent with their current company was 12.08 years. (Take it as known that the standard deviation of time with the company for all general managers is 2.7 years.) (a) Find the margin of error for an 80% confidence interval to estimate the mean time a general manager had spent with their current company: years (b) Find the margin of error for a 99% confidence interval to estimate the mean time a general manager had spent with their current company: years (c) In general, increasing the confidence level the margin of error (width) of the confidence interval. (Enter: ''DECREASES'', ''DOES NOT CHANGE'' or ''INCREASES'', without the quotes.)

Answers

Answer:

a)

The margin of error is of 0.33 years.

b)

The margin of error is of 0.67 years.

c)

INCREASES

Step-by-step explanation:

In this question, we have that:

Sample of 109 means that [tex]n = 109[/tex]

The standard deviation of time with the company for all general managers is 2.7 years, which means that [tex]\sigma = 2.7[/tex]

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.1= 0.9[/tex], so Z = 1.28.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

So

[tex]M = 1.28\frac{2.7}{\sqrt{109}} = 0.33[/tex]

The margin of error is of 0.33 years.

Question b:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005= 0.995[/tex], so Z = 2.575. So

[tex]M = 2.575\frac{2.7}{\sqrt{109}} = 0.67[/tex]

The margin of error is of 0.67 years.

(c) In general, increasing the confidence level the margin of error (width) of the confidence interval.

We have that:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

That is, M and z are direct proportional, and since z increases when the confidence level increases, the marign of error will increase. So the answer is INCREASES.

What is the area of the triangle?

A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared

Answers

742.5 inches squared
First multiply 45 x 33 (BxH) then divide by 2

Answer:

742.5 inches squared

Step-by-step explanation:

What is the area of the triangle?

A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.

123 inches squared

742.5 inches squared

1,012.5 inches squared

1,485 inches squared

Thomas counts the number of cars he sees in the parking lot of the school each hour of the day. He counted the following number of cars the first four hours of the day.
•12 cars the first hour
•24 cars the second hour
•36 cars the third hour
•48 cars the fourth hour
What is true of the function Thomas wrote that represents the number of cars as a function of the number of hours, h? Select all that apply.

Answers

I can’t answer this question without Thomas’ function and the answer choice, I’m sorry I couldn’t help further
Every hour = +12 cars

I don’t know if you’re asking that?? I can’t really understand.

I need help on this question

Answers

Answer:

11. Volume = 2181.2mm^3

12. Surface Area = 1204.49mm^2

Step-by-step explanation:

We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:

a^2+b^2 = c^2

13.3^2+20.5^2 = c^2

176.89+420.25 = c^2

597.14 = c^2

24.44 = c

Now we can find the volume using the formula:

V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

V = 2181.2mm^3

To find the surface area using the surface area formula:

A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt

13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2

-20.5^4+2(20.5*24.44)^2-24.44^4

A = 1204.49mm^2

GIVING BRANLIEST ! NEED HELP! PLEASE
The probability that a birth will result in twins is 0.017. Assuming independence​ (perhaps not a valid​ assumption), what is the probability that out of 120 births in a​ hospital, there will be exactly 4 sets of​ twins?


The probability that there will be exactly 4 sets of twins is?

Answers

Answer:

0.0939 = 9.39% probability that there will be exactly 4 sets of twins.

Step-by-step explanation:

For each birth, there is only two possible outcomes. Either it results in twins, or it does not. The probability of a birth resulting in twins is independent of any other birth. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The probability that a birth will result in twins is 0.017.

This means that [tex]p = 0.017[/tex]

120 births:

This means that [tex]n = 120[/tex]

The probability that there will be exactly 4 sets of twins is?

This is P(X = 4).

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

[tex]P(X = 4) = C_{120,4}.(0.017)^{4}.(0.983)^{116} = 0.0939[/tex]

0.0939 = 9.39% probability that there will be exactly 4 sets of twins.

Please answer this question!!!!!

Answers

For y:
Since this is a parallelogram then the values of the angles is 360 degrees
The opposite angles are equal so
360-(74x2) = 212
So y=212/2=106 degrees
Now for z
5z-24 + 74= 180
5z=130
Z= 26 degrees
I gotchu

notice 74. and how its supplementary angle is y, or in other words 106.
the angle (5z - 24) is the same as 106, so u would solve the equation

5z - 24 = 106 (to solve for z.)


z = 26
y= 106

Yesterday, the price of a gallon of gas at five gas stations was $3.56, $3.71,
$3.62, $3.93, and $3.83, respectively, but today each gas station raised it:
price by $0.08. What is today's mean price of a gallon of gas at the five
stations?
O A. $3.81
O B. $3.65
O C. $3.89
O D. $3.73

Answers

Answer:

c

Step-by-step explanation:

The mean price of a gallon of gas at the five stations is $3.81. Therefore, option A is the correct answer.

What is mean?

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Given that, Yesterday, the price of a gallon of gas at five gas stations was $3.56, $3.71, $3.62, $3.93, and $3.83, respectively.

Today each gas station raised its price by $0.08

Now, mean =(3.56+3.71+3.62+3.93+3.83+5×0.08)/5

= (18.65+0.4)/5

= 19.05/5

= $3.81

Therefore, option A is the correct answer.

To learn more about an arithmetic mean visit:

https://brainly.com/question/15196910.

#SPJ2

The difference between six and a number is two​

Answers

Answer:

4.

Step-by-step explanation:

the difference means -.

between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.

Median of 61, 53, 63, 63

Answers

(61+63)/2 = 62 median is 62

Help pls :)....................

Answers

Answer:

(19,1/2)

Step-by-step explanation:

you can put any number in the x coordinate as long as y is the same .

Which of the following lists all prime numbers between 6 and 18?

Answers

7, 11 , 13 , 17 here you go !!

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the trinomials with their factors.
a2 + a − 20
a2 − 9a + 20
a2 − 8a − 20
a2 − 12a + 20
a2 − 19a − 20
Factors
Trinomials
(a − 4)(a − 5)
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(a − 10)(a − 2)
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(a − 4)(a + 5)
arrowRight
(a − 10)(a + 2)
arrowRight

Answers

Answer:

2with1

4with2

1with3

3wth4

In the line plot, how many more students live 2 miles from school than students that live 1 mile from school?

Answers

Answer:

3 more students

Step-by-step explanation:

6-3=3

How did you get that?

6 students live 2 miles away, while only 3 students live 3 miles away. To find the difference, subtract the two numbers.

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