Need Help with this Appreciate!​

The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Answer:

Ishaan could make 7 possible combinations of meals.

Step-by-step explanation:

Number of subsets in a set of n elements:

The number of subsets in a set of n elements is given by: \(2^{n}\)

In this question:

3 dishes.

\(2^{3} = 8\)

only one, two of them, or all three of the dishes.

Considering the dishes, there are no empty set(there cannot be an order with no dishes), so 8 - 1 = 7

Ishaan could make 7 possible combinations of meals.

Answer:

18.75 sq.feet

Step-by-step explanation:

According to the question

1 card = 18 sq.in

150 cards = 150 * 18

                =  2700 sq.in

                = 18.75 sq.feet

Answer:

b = ±10

or

b = -10, 10

Step-by-step explanation:

Step 1: Write equation

b² = 100

Step 2: Solve for b

Step 3: Check

Plug in x to verify it's a solution.

(-10)² = 100

(10)² = 100

Answer:

b=-10 or b=10

Step-by-step explanation:

They would both work because negative times negative is also positive so it would also work.

*someone deleted my answer to this question saying it was incorrect but it was correct :/

Answer:

\(P(x< 240) = 0.0521\)

Step-by-step explanation:

Given

\(\bar x = 266\)

\(\sigma = 16\)

Required

\(P(x < 240)\) --- pregnancy will last less than 240 days

First, calculate the z score

\(z = \frac{x - \bar x}{\sigma}\)

Where:

\(x = 240\)

So, we have:

\(z = \frac{240 - 266}{16}\)

\(z = \frac{-26}{16}\)

\(z = -1.625\)

So:

\(P(x< 240) = P(z < -1.625)\)

From z probability:

\(P(z < -1.625) = 0.052081\)

\(P(z < -1.625) = 0.0521\) --- approximated

So:

\(P(x< 240) = 0.0521\)

answer:

that the answer

Answer:

its 3 3/4 or in decimal form 3.75

Step-by-step explanation:

15 divided by 4 gives you that answer

Answer:

374.99 or rounded up to 375

Step-by-step explanation:

First we need to take 47,000 and divide it by 12 to find the monthly income.

47,000/12 is 3916.66

now subtract 3541.67 from 3916.66

Answer:

part 1. 29

part 2. 17

part 3. 493

Answer:

1.56% probability that the student gets all three questions right

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses the answer correctly, or he does not. The probability of the student guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution 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.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Each question has 4 possible answers, one of which is correct.

So \(p = \frac{1}[4} = 0.25\)

Three questions.

This means that \(n = 3\)

What is the probability that the student gets all three questions right?

This is \(P(X = 3)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156\)

1.56% probability that the student gets all three questions right

The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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Answer:

Step-by-step explanation:

310 is the answer.

Answer:

you can get 4 pieces

Step-by-step explanation:

2.5+2.5+2.5+2.5=10. or 2.5×4=10

9514 1404 393

Answer:

  r = ±√47

Step-by-step explanation:

  -7r^2 = -329 . . . . given

  r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)

  r = ±√47 . . . .  square root both sides (square root property of equality)

Answer:

This is what I got.

Step-by-step explanation:

Calculate how much you would have in 20 years if you saved $3,000 a year at an annual rate of 8 percent with the company contributing $750 a year. Use Exhibit 1-B. (Round time value factor to 3 decimal places and answer to the nearest whole dollar.)

69/100 you would save since it decreased in value

The True- False of given statements of Solutions of Equations are justified.

1.13 False. The solution set to a system of three equations in three unknowns can be a point, a line, or a plane. It depends on the system of equations and how they intersect in three-dimensional space.

1.14 False. A system of linear equations can have infinitely many solutions, one solution, or no solutions. It depends on the coefficients of the equations and the rank of the coefficient matrix.

1.15 False. The solution set to a consistent rank 2 linear system in four unknowns would be a plane in four-dimensional space, not a line.

1.16 False. A system of four equations in four unknowns may not have a solution, or it may have infinitely many solutions or one solution. It depends on the coefficients of the equations and the rank of the coefficient matrix.

1.17 False. A system of four equations in four unknowns can have infinitely many solutions or one solution, but it cannot have at most one solution.

1.18 True. The rank of a system is always less than or equal to the number of equations in the system.

1.19 (a) False. If (i) has exactly one solution, it does not necessarily mean that (ii) will have exactly one solution. It depends on the coefficients of the equations in (ii).

(b) False. If the solution set of (i) is a line, it does not necessarily mean that the same is true for (ii). It depends on the coefficients of the equations in (ii).

(c) True. If (i) has no solutions, then the same is true for (ii), since (ii) is equivalent to (i).

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To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)

Simplifying further:

r =\(\frac{6}{1+2\cos(\theta)}\)

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =\(\frac{6}{1+2\cos(\theta)}.\)

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

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Answer:

Step-by-step explanation:

Let v be her average speed from her parents house

Let t₁ be the time traveled to parents house

Let t₂ be the time traveled from parents house

t₁ + t₂ = 19

t₁ = 19 - t₂

as the distance does not change, we can equate two velocity•time statements

vt₂ = (v + 25)t₁

vt₂ = (v + 25)(19 - t₂)

vt₂ = 19v - vt₂ + 475 - 25t₂

2vt₂ = 19v + 475 - 25t₂

vt₂ = 570 and t₂ = 570/v

2(570) = 19v + 475 - 25(570/v)

1140 = 19v + 475 - 14,250/v

665 = 19v - 14,250/v

665v = 19v² - 14250

0 = 19v² - 665v - 14250

0 = v² - 35v - 750

quadratic formula

v = (35 ±√(35² - 4(1)(-750))) / 2

v = (35 ± 65) / 2

v = - 15 mph which we ignore as she did not spend hours driving backwards

or

v = 50 mph is average speed from parents house

v + 25 = 75 mph is average speed to parents house.

the trip to took 570/75 = 7.6 hrs

the trip from took 570/50 = 11.4 hrs.     total of 19 hrs.

Answer:

D; 7 1/2

Step-by-step explanation:

:)

Answer:

3% = .03 x 15,500 = 465 / yr

465/yr x 5yrs = 2325

15,500 - 2325 = 13,175

Step-by-step explanation:

Answer: the answer is two :)

Step-by-step explanation:

4x=5+3

4x=8

x= 8/4

x=2

Answer:

False

Step-by-step explanation:

1 + 2 (-4) = -7

1 - 8 = -7

-7 = -7

-4 (-4) = -1

16 = -1

Answer:

1 billion

Step-by-step explanation:

there are 7 billion people and out of that 7 billion , only 6 billion have cell phones and the remaining people don't have cellphones.

Working out:

7 -6=1

After one hour of flight the plane has 180,000 pounds of fuel, since it consumes a total of 15,000 per hour, then we need to subtract 15,000 per hour it'll spend flying after the first one. From the 1st hour to the 8th, there are a total of 7 hours, so we need to multiply the consumption of fuel per hour by 7, then subtract the result from 180,000.

A total of 75000 will remain after the 8th hour.

Answer:

15% markdown

Step-by-step explanation:

To find the percent markdown

Take the original price minus the new price

975-828.75

146.25

Divide by the original price

146.25/975

.15

Change to percent form

15% markdown

The day, from the following two days, which would be the best to sell both stocks with the closing price is day 3 by an amount of $2.45.

Given are the closing prices of two stocks in three days.

If you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price,

Amount invested = (65 × 17.95) + (50 × 5.63) = $1448.25

If the stock is sold in day 2,

Amount received = (65 × 18.25) + (50 × 4.98) = $1435.25

Profit = $1435.25 - $1448.25 = -$13

If the stock is sold in day 3,

Amount received = (65 × 18.28) + (50 × 5.25) = $1450.7

Profit = $1450.7 - $1448.25 = $2.45

The profit is more for day 3 than day 2.

Hence it is best to sell on day 3 by $2.45.

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The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

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Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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