A group of friends will go on a weekend camping trip and split the cost of gas
equally. The cost that each person will pay for gas is inversely proportional to the
number of people who go on the trip. If four friends go on the trip, each person pays
$23 for gas. Write an equation that describes the relationship between cost (c) that
each person pays for gas, and the number of people on the trip (n).
C = 92/n
C= n/0.17
C = 5.75n
C = 5.75/n

Answers

Answer 1

9514 1404 393

Answer:

  (a)  C = 92/n

Step-by-step explanation:

The "inversely proportional" relation is represented by the equation ...

  C = k/n

The value of k can be found from the given values of C and n.

  23 = k/4

  23×4 = k = 92

Then the relationship is ...

  C = 92/n


Related Questions

Alex purchased
1/2

of a gallon of milk. He put
2/11

of the milk in a smoothie. How much of a gallon of milk did Alex put in his smoothie?

Answers

Answer:

1/11 of a gallon

Step-by-step explanation:

He used 2/11 of 1/2 gallon

2/11 * 1/2 = 1/11 of a gallon

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

Step 1:  Find how much of a gallon he used

[tex]\frac{2}{11} * \frac{1}{2} =\frac{2}{22}[/tex]

[tex]\frac{2}{22}=\frac{1}{11}[/tex]

Answer:  [tex]\frac{1}{11}[/tex]

The table above shows some values of the functions f
and g. What is the value of f(g(1)) ?
A) 2
B) 3
C) 4
D) 5

Answers

Answer:

a

Step-by-step explanation:

g(1)=5

f(g(1))=f(5)

f(5)=2

g(x) = -8x + 2, find

a. g(x+4)

b. g(x) + g(-2)

Answers

Answer:

g(x+4)= -8(x+4)+2

=-8x-32+2=-8x-30

g(x)+g(-2)=-8x+2+(-8(-2)+2)

=-8x+2+(16+2)

=-8x+20

a.=-8x-30

b.=-8x+20

the x coordinates of the point 2y-x=10 intersect the line yaxis​

Answers

Answer:

Point has co-ordinates, (0, 5)

Step-by-step explanation:

If they cut y-axis, then x = 0

[tex]2y - x = 10 \\ 2y - 0 = 10 \\ 2y = 10 \\ y = 5[/tex]

Write the equation of the line that contains the point (2,1) and is parallel to the line 4x−2y=3

Answers

Answer:

y=2x-3

Step-by-step explanation:

4x-2y=3

-2y=3-4x

2y=4x-3

y=4x/2-3/2

y=2x-1.5  m1=2 (the number near x)

If the searched line is parallel to the line 4x−2y=3, m1=m2= 2

y=m2x+b - the searched line

1=2*2+b

b=-3

y=2x-3

Which of the following functions has order 2 rotational symmetry about the same origin?

Answers

The answer is "Option B", and the further explanation can be defined as follows:

A rectangle is symmetrical in 2 ways. In particular, it has two-order rotational symmetry (RS2).If an object rotates 360 degrees, it's an ordering of symmetrical is the number of times it appears to be the same.There are three levels of matching: Order 2 if only two times, Order 3 if three matches are made, and so forth.

The wrong choice can be defined as follows:

In option a and c, both are wrong because it has no rotational symmetry.In option d, it is wrong because it downs the diagram on the negative (x,y) axis.

Therefore, "Option B" is correct and its diagram is defined in the attached file.

Learn more:

2 rotational symmetry: brainly.com/question/1531736

A computer system uses passwords that are exactly six characters and each character is one of the 26 letters (a–z) or 10 integers (0–9). Suppose that 10,000 users of the system have unique passwords. A hacker randomly selects (with replace- ment) one billion passwords from the potential set, and a match to a user’s password is called a hit. (a) What is the distribution of the number of hits? (b) What is the probability of no hits? (c) What are the mean and variance of the number of hits?

Answers

Answer:

The number of hits would follow a binomial distribution with [tex]n =10,\!000[/tex] and [tex]p \approx 4.59 \times 10^{-6}[/tex].

The probability of finding [tex]0[/tex] hits is approximately [tex]0.955[/tex] (or equivalently, approximately [tex]95.5\%[/tex].)

The mean of the number of hits is approximately [tex]0.0459[/tex]. The variance of the number of hits is approximately [tex]0.0459\![/tex] (not the same number as the mean.)

Step-by-step explanation:

There are [tex](26 + 10)^{6} \approx 2.18 \times 10^{9}[/tex] possible passwords in this set. (Approximately two billion possible passwords.)

Each one of the [tex]10^{9}[/tex] randomly-selected passwords would have an approximately [tex]\displaystyle \frac{10,\!000}{2.18 \times 10^{9}}[/tex] chance of matching one of the users' password.

Denote that probability as [tex]p[/tex]:

[tex]p := \displaystyle \frac{10,\!000}{2.18 \times 10^{9}} \approx 4.59 \times 10^{-6}[/tex].

For any one of the [tex]10^{9}[/tex] randomly-selected passwords, let [tex]1[/tex] denote a hit and [tex]0[/tex] denote no hits. Using that notation, whether a selected password hits would follow a bernoulli distribution with [tex]p \approx 4.59 \times 10^{-6}[/tex] as the likelihood of success.

Sum these [tex]0[/tex]'s and [tex]1[/tex]'s over the set of the [tex]10^{9}[/tex] randomly-selected passwords, and the result would represent the total number of hits.

Assume that these [tex]10^{9}[/tex] randomly-selected passwords are sampled independently with repetition. Whether each selected password hits would be independent from one another.

Hence, the total number of hits would follow a binomial distribution with [tex]n = 10^{9}[/tex] trials (a billion trials) and [tex]p \approx 4.59 \times 10^{-6}[/tex] as the chance of success on any given trial.

The probability of getting no hit would be:

[tex](1 - p)^{n} \approx 7 \times 10^{-1996} \approx 0[/tex].

(Since [tex](1 - p)[/tex] is between [tex]0[/tex] and [tex]1[/tex], the value of [tex](1 - p)^{n}[/tex] would approach [tex]0\![/tex] as the value of [tex]n[/tex] approaches infinity.)

The mean of this binomial distribution would be:[tex]n\cdot p \approx (10^{9}) \times (4.59 \times 10^{-6}) \approx 0.0459[/tex].

The variance of this binomial distribution would be:

[tex]\begin{aligned}& n \cdot p \cdot (1 - p)\\ & \approx(10^{9}) \times (4.59 \times 10^{-6}) \times (1- 4.59 \times 10^{-6})\\ &\approx 4.59 \times 10^{-6}\end{aligned}[/tex].

Which of the following behaviors would best describe someone who is listening and paying attention? a) Leaning toward the speaker O b) Interrupting the speaker to share their opinion c) Avoiding eye contact d) Asking questions to make sure they understand what's being said

Answers

The answer is A and D

good luck

The product of x and its opposite is always 1.
O True
O False

Answers

Answer:

False

Step-by-step explanation:

x

The opposite of x is -x

x* -x = -x^2

This is not always 1

Answer:

false

Step-by-step explanation:

x*-x= - x ² so its not always 1

so I just started using brainly sorry if its not appropriate

2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Answers

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4.

Hope this helps!

What is the measure of b, in degrees

Answers

Answer:

B) 32

Step-by-step explanation:

(sin 74) / 10 = (sin c) / 10

c = 74

180 - 74 -74

= 32

Please answer spammers will be reported ​

Answers

Answer:

Answer is number 2 as twice of 2 is 4 and double of 4 is 8 and 8+2=10

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

51: Y = 3: 5 value of Y​

Answers

Answer:Y=25:3

Step-by-step explanation:

Answer:

51 : 85 = 3 : 5

Step-by-step explanation:

51 : Y = 3 : 551 ÷ 17 = 3•To find the Y we should multiply 5 by 17 5 × 17 = 8551 : 85 = 3 : 5•Checking51 ÷ 17 = 3 ; 85 ÷ 17 = 5

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Last year, Rob set up the Road Runner Race for his school.
The race was 1,200 meters long and 188 people signed up to
run the race. 38 people did not show up to run. This year,
there will be 3 times as many runners as last year. How
many people will run the race this year?

Answers

Answer:

450 runners

Step-by-step explanation:

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!
Determine the intervals where the value of f(x) is positive, when f(x)= (x + 7)(2x + 3)(x + 5). Choose all that apply
a. -∞ < x < 7
b. -7 < x < -5
c. -5 < x < -3/2
d. -3/2 < x < ∞

Answers

Answer:

b and d

Step-by-step explanation:

Find zero's:

x = -7x = -3/2x = -5

The intervals:

x < -7,  all negative, the result is negativex is between -7 and -5, two negatives, the result is positivex is between -5 and -3/2, one negative, the result is negativex is greater than -3/2, all 3 positives, the result is positive

As we see correct choices are b and d

Helppp!!!!!
Please!!!

{ is question #1 is right?? }
{ i need help with question #2 please }

Please!!
Helppp!!!!!

Answers

Answer:

fyi b's answer has imaginary numbers in it...

Imaginary: 1 +[tex]\frac{\sqrt{2i} }{2 }[/tex]    

Imaginary: 1 -  [tex]\frac{\sqrt{2i} }{2 }[/tex]  

Step-by-step explanation:

[tex]2x^{2} - 4x -3 = 0[/tex]

[tex]\sqrt{-4^{2} -4(2)(3)}[/tex] = [tex]\sqrt{-8}[/tex] ... the negative root will produce imaginary solutions

9514 1404 393

Answer:

  1a. -4, 3/4

  1b. 1-0.71i, 1+0.71i

Step-by-step explanation:

The directions tell you to use the quadratic formula. Factoring may get you the solution somewhat more easily, but does not comply with the directions.

The quadratic formula tells you ...

  [tex]\text{The solution to }ax^2+bx+c=0\text{ is given by }\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

__

1a. a=4, b=13, c=-12

  [tex]x=\dfrac{-13\pm\sqrt{13^2-4(4)(-12)}}{2(4)}=\dfrac{-13\pm\sqrt{361}}{8}=\dfrac{-13\pm19}{8}\\\\x=\left\{-4,\dfrac{3}{4}\right\}[/tex]

__

1b. After adding 3 to both sides, a=2, b=-4, c=3

  [tex]x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(2)(3)}}{2(2)}=\dfrac{4\pm\sqrt{-8}}{4}=1\pm\dfrac{\sqrt{2}}{2}i\\\\x=\left\{1-\dfrac{\sqrt{2}}{2}i,1+\dfrac{\sqrt{2}}{2}i\right\}\approx\{1-0.71i,1+0.71i\}[/tex]

The humidity is currently 56% and falling at a rate of 4 percentage points per hour. (a) Estimate the change in humidity over the next 20 minutes. (Round your answer to one decimal place.) -1.4 Incorrect: Your answer is incorrect. percentage points

Answers

Answer:

The change is of -1.3 percentage points.

Step-by-step explanation:

The humidity is currently 56% and falling at a rate of 4 percentage points per hour.

This means that after n hours the humidity is of:

[tex]H(n) = 56 - 4n[/tex]

Estimate the change in humidity over the next 20 minutes.

It currently is 56%.

20 minutes is 20/60 = 1/3 of an hours, so:

[tex]H(\frac{1}{3}) = 56 - 4\frac{1}{3} = 54.7[/tex]

Change:

54.7 - 56 = -1.3

The change is of -1.3 percentage points.

The change in humidity over the next 20 minutes falling at a rate of  4 percentage points per hour is -1.3.

The humidity is currently 56% and falling at a rate of 4 percentage points per hour.

What is the formula used to determine the change in humidity?

The change is determined by the small about of humidity changes x to x+h, so the output of x+h is the value of f at x plus the approximate change in f, that is

[tex]\rm f(x+h) =f(x) + f'(x) \times h[/tex]

f(x)= 56%

20 minutes is 20/60 = 1/3 of an hours

So, The change in humidity is

[tex]f'(x) = 4 \times 1/3[/tex]

f'(x) = 1.3

Here, it is falling at the rate of 4% point per hour so we will take it as negative as -1.3.

Learn more about changes in humidity;

https://brainly.com/question/14363655

what is the mean in 0.33, 0.33, 0.54, 0.46, 0.30, 0.77, 0.42, 0.44, 0.60, 0.32, 0.47, 0.64, 0.61, 0.69, 0.41, 0.39, 0.66, 0.60, 0.61, 0.70

Answers

Answer:

0.5145

Step-by-step explanation:

Mean is also known as average. It is expressed as:

Mean  = Sum of data/Sample size

Sum of data = 0.33+0.33+0.54+0.46+0.30+0.77+0.42+0.44+0.60+0.32+0.47+0.64+0.61+0.69+0.41+0.39+0.66+0.60+0.61+0.70

Sum of data = 10.29

Sample size = 20

Mean = 10.29/20

Mean = 0.5145

Hence the mean of the data is 0.5145

The Rogers family and the Brooks family each used their sprinklers last summer. The Rogers family's sprinkler was used for 30 hours. The Brooks family's sprinkler was used for 25 hours. There was a combined total output of 1775 L of water. What was the water output rate for each sprinkler if the sum of the two rates was 65 L per hour?

Answers

Step-by-step explanation:

what happens if there is excess or deficit of proteins in our body

Using only the digits 5, 6, 7, 8, how many different three digit numbers can beformed

Answers

Answer:

totally 16 numbers can be formed

It is hard and the condition of repeat of number should be clear if you have formula ( it is obvious to have) you can use that.

X>70
y<45
What is the smallest whole number value of x - y?

Answers

Answer:

27

Step-by-step explanation:

x-y

We are subtracting and we want the smallest number

We want the smallest number for x and the largest number for y

The smallest number for x is 71

The largest number for y is 44

71-44

27

Hey guys so I need help with my math homework what is 4/5 to 1/6 one third away from

Answers

Answer:

0.16

Step-by-step explanation:

A circle has a radius of 7ft. Find the radian measure of the central angle θ that intercepts an arc of length 6ft.

Answers

Answer:

49.09°

Step-by-step explanation:

c = circumference = 2×π×r

= 2× 22/7 ×7 = 44 ft

θ = 6/c × 360°

= 6/44 × 360° = 49.09°

Need helpppp ! tyyy

Answers

Answer:

63°

Step-by-step explanation:

Both angle 3 and 2 are equal because of the property of vertically opposite angles.

The scores of a high school entrance exam are approximately normally distributed with a given mean Mu = 82.4 and standard deviation Sigma = 3.3. What percentage of the scores are between 75.8 and 89?

Answers

Notice that

75.8 = 82.4 - 6.6 = 82.4 - 2 × 3.3

89 = 82.4 + 6.6 = 82.4 + 2 × 3.3

Then the percentage of students with scores between 75.8 and 89 make up the part of the distribution that lies within 2 standard deviations of the mean. The empirical (68-95-99.7) rule says that approximately 95% of any distribution lies within this range.

Answer:

b

Step-by-step explanation:

Charla has six segments with which to make two triangles. The segments lengths are 2 in., 3 in., 4 in., 5 in., 6 in., and 7 in. Which are possible side lengths of her two triangles?

2 in., 4 in., 6 in. and 3 in., 5 in., 7 in.
2 in., 5 in., 6 in. and 3 in., 4 in., 7 in.
2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.
2 in., 3 in., 6 in. and 4 in., 5 in., 7 in.

Answers

2, 3, 4, 5, 6, 7. Is the correct answer

Answer:

The answer is option C
2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.

Step-by-step explanation:

Evaluate the expression when a= 2 and c= -7. C-4a answer​

Answers

Answer:

-15

Step-by-step explanation:

Let a = 2 and c = -7.

[tex]c-4a\\(-7)-4(2)\\-7-8\\-15[/tex]

Solution:-

we know that the value of a is 2 and c is -7

Expression-

c-4a

= (-7)-4×2

= (-7)-8

= -15

~

PLEASE ANSWER

For a parabola where p > 0, the curve will open

Options
To the left
Up
Down
To the right

Answers

Answer:

‼️D) To the right‼️

Explanation

There is an easy way to tell whether the graph of a quadratic function opens upward or downward: if the leading coefficient is greater than zero, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward.

What is the standard deviation?

8, 10, 12,14,16,18,20

PLEASE show work

Answers

Answer:

4

Step-by-step explanation:

The given data is :

8, 10, 12,14,16,18,20

We need to find the standard deviation. Here,

Count = 7

Sum, Σx: 98

Mean, μ: 14

The standard deviation is given by :

[tex]\sigma=\sqrt{\dfrac{1}{N}\Sigma(x_i-\mu)^2}[/tex]

or

[tex]\sigma^2=\dfrac{1}{N}\Sigma(x_i-\mu)^2\\\\=\dfrac{(8-14)^2+...+(20-14)^2}{7}\\\\=\dfrac{112}{7}\\\\\sigma^2=16\\\\\sigma=4[/tex]

So, the standard deviation of the given data is 4.

The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds. A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population. Assume the variable is normally distributed.

Answers

Answer:

The sample mean that will cut off the upper 95% of all samples of size 20 taken from the population is of 1963.2 pounds.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds.

This means that [tex]\mu = 2000, \sigma = 100[/tex]

A sample of 20 cables is selected and tested.

This means that [tex]n = 20, s = \frac{100}{\sqrt{20}} = 22.361[/tex]

Find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population.

This is the 100 - 95 = 5th percentile, which is X when Z has a p-value of 0.05, so X when Z = -1.645. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-1.645 = \frac{X - 2000}{22.361}[/tex]

[tex]X - 2000 = -1.645*22.361[/tex]

[tex]X = 1963.2[/tex]

The sample mean that will cut off the upper 95% of all samples of size 20 taken from the population is of 1963.2 pounds.

Other Questions
Select the correct text in the passage.Which detail best develops the character of the narrator, Jane Eyre, in the excerpt?excerpt from Jane Eyreby Charlotte BrontIn the following excerpt, the narrator, Jane Eyre, describes an interaction with her nursemaid, Bessie.Bessie asked if I would have a book: the word book acted as a transient stimulus, and I begged her to fetch Gulliver's Travels from the library.This book I had again and again perused with delight. I considered it a narrative of facts, and discovered in it a vein of interest deeper than whatI found in fairy tales: for as to the elves, having sought them in vain among foxglove leaves and bells, under mushrooms and beneath theground-ivy mantling old wall-nooks, I had at length made up my mind to the sad truth, that they were all gone out of England to some savagecountry where the woods were wilder and thicker, and the population more scant; whereas, Lilliput and Brobdignag being, in my creed, solidparts of the earth's surface, I doubted not that I might one day, by taking a long voyage, see with my own eyes the little fields, houses, and trees,the diminutive people, the tiny cows, sheep, and birds of the one realm; and the corn-fields forest-high, the mighty mastiffs, the monster cats,the tower-like men and women, of the other. Yet, when this cherished volume was now placed in my hand-when I turned over its leaves, andsought in its marvellous pictures the charm I had, till now, never failed to find-all was eerie and dreary; the giants were gaunt goblins, thepigmies malevolent and fearful imps, Gulliver a most desolate wanderer in most dread and dangerous regions. I closed the book, which I daredno longer peruse, and put it on the table, beside the untasted tart.Bessie had now finished dusting and tidying the room, and having washed her hands, she opened a certain little drawer, full of splendid shredsof silk and satin, and began making a new bonnet for Georgiana's doll. Meantime she sang: her song was-"In the days when we went gipsying,A long time ago."I had often heard the song before, and always with lively delight; for Bessie had a sweet voice. --at least, I thought so. But now, though her voicewas still sweet, I found in its melody an indescribable sadness. Sometimes preoccuniad with The stock brokerage firm of Blank, Leibowitz, and Webber has analyzed and recommended two stocks to an investor. The investor was interested in factors such as short-term growth, intermediate growth, and dividends rates. The data on each stock is as follows: STOCK ($) FACTOR LOUISIANA GAS AND POWER TRIMEX INSULATION COMPANY Short-term growth potential, per dollar invested 0.36 0.24 Intermediate growth potential (over next 3 years), per dollar invested 1.80 1.50 Dividend rate potential 4% 8%The investor has the following goals: an appreciation of no less than $720 in the short term, an appreciation of at least $5000 in the next three years, and a dividend income of at least $200 per year. What is the smallest investment the investor can make to meet these three goals. 2. 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