A random sample of the price of gasoline from 40 gas stations in a region gives an average price of $3.69 and sample standard deviation 0.25$. Construct a 95% Confidence Interval for the mean price of regular gasoline in that region A. (3.61, 3.77) B. (3.09, 4.29) C. (2.79, 4.59) D. (3.39, 3.99)

Answer:

The answer is y>-x+3

Step-by-step explanation:

slope=rise/run

(0,3),(3,0)

m=y2-y1/x2-x1

m=0-3/3-0

m=-3/3

m= -1

y=mx+b

y= -x+b

3=-(0)+b

b=3

y>-x+3

The three solutions of the inequalities are x < 0 , x <  0.8 , x< -2

Inequalities are defined as mathematical expressions in which both sides are not made equal to each other.

Given the inequalities;

Let's solve for the value of x

x - 0.8 < 0

Make 'x' the subject

x < 0 + 0. 8

x < 0. 8

-5x < 10

Make 'x' the subject by dividing both sides by - 5

-5x/ 5 < 10/ -5

x < -2

Thus, the three solutions of the inequalities are x < 0 , x <  0.8 , x< -2

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Therefore , the solution of the given problem of probability comes out to be probability of winning a  3 game out of 5 is 0.5 .

Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any quantity between 0 and 1, whereby 1 frequently represents certainty range 1 and 0 normally denotes possibility, can be used to represent chance. A probability diagram illustrates the likelihood that a particular event will take place.

Here,

Given :

Since,

the probability to win a game is 50% .

So they have to win 3 games ,

and so , the probability to win the game is:

=> 1/2 * 1

=> 0.5

thus,

probability of winning a  3 game out of 5 :

=> 0.5

Therefore , the solution of the given problem of probability comes out to be probability of winning a  3 game out of 5 is 0.5 .

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Using the normal distribution, it is found that:

The z-score of a measure X of a variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is given by the fraction presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the number of chips are given as follows:

\(\mu = 1262, \sigma = 118\)

The proportion of bags that has between 1026 and 1380 chocolate chips is the p-value of Z when X = 1380 subtracted by the p-value of Z when X = 1026, hence:

X = 1380:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1380 - 1262)/118

Z = 1

Z = 1 has a p-value of 0.8413.

X = 1026:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1026 - 1262)/118

Z = -2

Z = -2 has a p-value of 0.0228.

0.8413 - 0.0228 = 0.8185.

Hence the percentage is 81.85%.

The proportion that has fewer than 1144 chips is the p-value of Z when X = 1144, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1144 - 1262)/118

Z = -1

Z = -1 has a p-value of 0.1587.

Hence the percentage is of 15.87%.

The proportion that has more than 1498 chips is one subtracted by the p-value of Z when X = 1498, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (1498 - 1262)/118

Z = 2

Z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228

Hence the percentage is of 2.28%.

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Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer: A????????????

Step-by-step explanation:

you need to show the following

Answer:

C intercept is 800, n intercept is -3.3333...

Step-by-step explanation:

C = 240n + 800 is a linear equation (the graph is a line)

C-intercept is the point with the coordinates ( 0, C-intercept ) where the line C = 240n + 800 is intersecting the vertical C-axis and

n-intercept is the point with the coordinates (n-intercept, 0) where the line C = 240n + 800 is intersecting the horizontal n-axis.

Find the C-intercept:

n has to be 0 for our line to intercept the C-axis, so substitute n = 0 in our given equation

C = 240n + 800

C = 240·0 + 800

C = 800

Find the n-intercept:

C has to be 0 for our line to intercept the n-axis, so substitute C = 0 in our given equation

C = 240·n + 800

0 = 240·n + 800, subtract 800 from both sides

-800 = 240 ·n, divide both sides by 240

-800/240 = n

-3.(3) = n

If the value of a = 5 and c = √21  then the value of b = 2i, b = -2i.

In this problem, we have one leg and the hypotenuse.

Let the equation be a² + b² = c²

substitute the values in the above equation, we get

5² +b² = (√21)²

25+b²=21

Move 25 to the right side

b² = -4

For x² = f(a) the solutions are \($x=\sqrt{f(a)},-\sqrt{f(a)}$\)

\($$b=\sqrt{-4}, b=-\sqrt{-4}$$\)

simplifying the above equation, we get

\(& \sqrt{-4}=2 i \\\)

\(& -\sqrt{-4}=-2 i \\\)

b = 2i, b = -2i

Therefore, the value of b = 2i, b = -2i.

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A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola

The answer would be

Answer:

the slope is 0

Step-by-step explanation:

We can see by reading the coordinates of the points that they have the same y coordinate -7 so we can tell from the beginning  that the slope is 0 because the line going trough the points will NOT go up or down will STAY FLAT at -7.

OR we can actually calculate the slope

The slope of a line in general is m = (y2-y1)/(x2-x1)

The slope of the line the line that passed through the points

(x1 = 1, y1 = -7) and (x2 = 10, y2 = -7) is

m = (-7- -7) / (10-1) =

m = (-7+7)/(10-1)

m = 0/9

m =0

The slope 0 tells us that the two points are on a horizontal line.

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

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Answer

50

Step-by-step explanation:

60 is supplementary to 120 so 60+70=130

and a triangle adds up to 180 so 180-130 would be 50

Answer: the answer would be approximately 7:45 or 8:45

Step-by-step explanation:

the short hand is known for hours and the long hand is known for minutes the long hand is different than the short hand.

the short hands numbers is from 1-12 while the long hand numbers start from 5-60

hope this helps!

Answer:

52.6

Step-by-step explanation:

263/5=52.6

Answer:

53

Step-by-step explanation:

You must take 263 and divide it by 5

263/5 = 52.6

So, 5 times 52 = 260

BUT 5 times 53 = 265.  You would need 53 fish bowls

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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Answer:

the first green one. yes

Step-by-step explanation:

it looks the clostest to yours

Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

If outcome O₁ has a frequency 4/a, outcome O₂ has a frequency 12/a, and outcome O₃ has frequency 3/a, then the value of a is 19

Frequency of outcome O₁ = 4/a

Frequency of outcome O₂ = 12/a

Frequency of outcome O₃ = 3/a

Let's say 1/a = x

Now, the Frequency of outcome O₁ = 4x

Frequency of outcome O₂ = 12x

Frequency of outcome O₃ = 3x

The sum of the respective frequencies must equal 1.

So, 4x + 12x + 3x = 1

                      19x = 1

x = 1/19

That means that the “a” in the problem is 19.

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Answer:

60/6 = 10

Your Constant of proportionality is 10 kilometers per minute

So you will have to set up your equation ----- y = 10x ------ and solve to get 12 hours to drive 120 kilometers :)

Hope this helps!!

Step-by-step explanation:

We can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

To determine the interval within which 95 percent of the sample means will fall, we need to calculate the margin of error using the standard deviation and the desired level of confidence.

The formula to calculate the margin of error is given by:

Margin of Error = Z * (Standard Deviation / √n)

Where:

Z is the critical value corresponding to the desired level of confidence

Standard Deviation is the standard deviation of the population

n is the sample size

Since the sample size is 41 and we want to find the interval at a 95 percent confidence level, we need to find the critical value corresponding to a 95 percent confidence level.

The critical value can be found using a standard normal distribution table or a calculator. For a 95 percent confidence level, the critical value is approximately 1.96.

Now we can calculate the margin of error:

Margin of Error = 1.96 * (0.0050 / √41)

Calculating this, we find:

Margin of Error ≈ 0.001624

To find the interval within which 95 percent of the sample means will fall, we need to subtract and add the margin of error to the true mean:

Interval = True Mean ± Margin of Error

Interval = 0.9550 ± 0.001624

Calculating this, we find:

Interval ≈ (0.9534, 0.9566)

Therefore, we can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

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Answer: There are 15 friends.

Step-by-step explanation:

We know that there is N friends (N is the number that we are looking for)

Each friend weights 1/20 ton.

Now, the weight of the N friends together is N times 1/20 ton.

Then we have:

N*(1/20) ton = 3/4 ton

We solve this for N.

First multiply both sides by 20.

20*N*(1/20) = N = 20*(3/4) = 60/4 = 15

Answer:

I can find the total number of people by dividing the total weight by the weight of one person.

Step-by-step explanation:

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 5}(x-\stackrel{x_1}{2}) \implies y +4= -5 (x -2) \\\\\\ y+4=-5x+10\implies {\Large \begin{array}{llll} y=-5x+6 \end{array}}\)

Answer:

A= 160 in. squared

Step-by-step explanation:

The car will use 20 liters of petrol in 8 hours.

In order to determine the distance traveled by the car in 5 hours, we need to know the average speed of the car. Without that information, it is not possible to calculate the distance accurately.

The distance traveled by a car depends on its speed, which can vary depending on various factors such as road conditions, traffic, and the driver's behavior.

Regarding the second part of your question, if a car consumes 10 liters of petrol in 4 hours, we can assume it has a consumption rate of 10 liters/4 hours = 2.5 liters/hour.

To find out how long it will take for the car to consume 20 liters of petrol, we can set up a proportion:

10 liters / 4 hours = 20 liters / x hours

Cross-multiplying and solving for x, we get:

10x = 80

x = 80 / 10

x = 8 hours

Therefore, the car will use 20 liters of petrol in 8 hours.

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The probable question may be:
What distance will it travel in 5 hours?If a car uses 4 hrs to consume 10 litres of litres of petrol is consumed in 10 hours.How long will it use 20 litres of petrol?

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

30

Step-by-step explanation: