The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 185μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. Amelia only likes to use the drive-through for restaurants where the average wait time is in the bottom 10\%10%10, percent for that town. What is the maximum average wait time for restaurants where Amelia likes to use the drive-through? Round to the nearest whole second.

Yes, that is a correct statement.

But im left wondering what is the darn question

Answer:

2

Step-by-step explanation:

h(x) = -x -4

therefore h(-6) means substitute -6 for x

h(-6) = -(-6) -4

h(-6) = 6 - 4

h(-6) = 2

Answer: (1,3)

Step-by-step explanation: All you're doing with this outward-shaded parabola is just seeing which points are in the red and which points are not. The point that isn't in the red is the point not included in the solution set. If you plot all the points given, you'll see that (1,3) is in the white. :)

The point (-2, 1) is not included in the solution set.

The given inequality describes an upward opening parabola with a dashed line. The vertex of the parabola is (1, 2), and it passes through the points (-1, 6) and (3, 6). The shading outside the curve represents the solution set for the inequality.
To determine which point is not included in the solution set, we can test each point in the inequality. Let's start with (-2, 1).

Plugging in the x- and y-coordinates of (-2, 1) into the inequality, we get: 1 < (2 - 1)^2. Simplifying this inequality, we have 1 < 1, which is false. Therefore, (-2, 1) is NOT included in the solution set.

Now, let's test the remaining points: (1, 3), (4, 3), and (5, -1). By substituting these points into the inequality, we can determine whether they satisfy the inequality or not.

Based on our calculations, the point that is not included in the solution set for the inequality is (-2, 1).

https://brainly.com/question/31992012

#SPJ2

The mass of each object (a) A thin copper wire 1.75 feet long (starting at x= 0) with density function given byp (a)=3x² + 4 lb/ft.m = 12.44lb (b) A frisbee with radius 7 inches with density function given by p(x)=√2 kg/in.m =1.74 lb

(a) To find the mass of the copper wire, we need to integrate the density function over the length of the wire: m = ∫p(x)dx from 0 to 1.75 m = ∫(3x² + 4)dx from 0 to 1.75 m = [x³ + 4x] from 0 to 1.75 m = (1.75³ + 4(1.75)) - (0³ + 4(0)) m = 12.44 lb (rounded to two decimal places)

Therefore, the mass of the copper wire is 12.44 lb.

(b) To find the mass of the frisbee, we need to integrate the density function over the volume of the frisbee: m = ∫∫∫p(r,θ,z)rdrdθdz from 0 to 7 inches (radius)

Since the frisbee is symmetric around the z-axis, we can simplify this integral by using cylindrical coordinates:

m = ∫∫∫p(r,z)rdrdθdz from 0 to 7 inches (radius), 0 to 2π (angle), and -√(49-r²) to √(49-r²) (z) m = ∫0²⁷p(r,z)rdrdθdz (since p(x) is in kg/in and we want the mass in lb, we need to convert units)

m = ∫0²⁷(√2/39.37)πr(rdr)(√(49-r²) + √(49-r²))dθdz (conversion factor: 1 kg/in = √2/39.37 lb/in) m = ∫0²⁷(2πr(49-r²)/39.37)(√2/39.37)(dz)

m = (√2π/39.37)∫0²⁷(98r(49-r²)/39.37)dr m = (√2π/39.37)[(98/15)r⁵ - (98/3)r³] from 0 to 7 m = (√2π/39.37)[(98/15)(7⁵) - (98/3)(7³)] m = 1.74 lb (rounded to two decimal places) Therefore, the mass of the frisbee is 1.74 lb.

Visit here to learn more about Density:

brainly.com/question/1354972

#SPJ11

To solve this problem, we need to use Trigonometry and the concept of "line of sight". Line of sight is the straight line that connects an observer to an object. In this case, the observer is at the beginning of the landing strip, and the object is the small plane flying at an altitude of 1000m and a distance of 5000m from the observer.

To find the angle between the ground and the line of sight, we will use the tangent function. The tangent function relates the opposite side (altitude) and adjacent side (distance from the landing strip) of a right triangle.

Step 1: Label the sides of the triangle.
Opposite side (altitude) = 1000m
Adjacent side (distance) = 5000m

Step 2: Use the tangent function.
tan(angle) = opposite side / adjacent side
tan(angle) = 1000m / 5000m

Step 3: Calculate the angle.
angle = arctan(tan(angle))
angle = arctan(1000m / 5000m)

Step 4: Convert the angle to degrees and round to the nearest tenth.
angle ≈ 11.3°

So, the angle between the ground and the line of sight from the observer at the beginning of the landing strip is approximately 11.3°.

To learn more about Trigonometry click here: brainly.com/question/12068045

#SPJ11

Answer:(x+3)(x-8)=0

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

triangular prism volume = \(\frac{1}{4}\)h\(\sqrt{-a^{2}+2(ab)^{2} +2(ac)^{2}﹣b^{4}+2(bc)^{2}﹣c^{4} }\)

a = base side = 1.4 ft (after converted from inches to feet)

b = base side= 2 ft

c = base side = 2.5 ft

h = height = 3 ft

plug all the number into the formula

Answer:

I dont get this..is their answer choices?

Step-by-step explanation:

The values of x and y are 6 and 4, respectively. So, x = 6 and y = 4.

Given equations:

2x + 3y = 24, and

5x - 2y = 22

To find the values of x and y,

we have to solve the equations by using the elimination method.

Here's how:

Step 1:

Multiply equation (1) by 2 and equation (2) by 3.

4x + 6y = 48  (Equation 1 multiplied by 2)

15x - 6y = 66 (Equation 2 multiplied by 3)

Step 2: Add both equations to eliminate y,

4x + 6y = 48

15x - 6y = 66 ___________________________

19x = 114

Step 3: Divide both sides by 19.

x = 6

Step 4: Substitute the value of x in any of the given equations.

2x + 3y = 24

Putting the value of x, we get:

2 (6) + 3y = 24

Simplifying, we get:

12 + 3y = 24

Step 5: Solve for y,

3y = 24 - 12

y = 4

Thus, the values of x and y are 6 and 4, respectively. So, x = 6 and y = 4.

To know more about elimination method visit:

https://brainly.com/question/13877817

#SPJ11

a) The median number of hours per week these Year 12 students spend doing homework is 4 hours.

b) If 10% of Year 12 students spend more than k hours per week doing homework, then the value of k is 5.75 hours.

The median is a central value or a middle value in a distribution. The number of values in a dataset is an important factor that determines the calculation of the median. It is a value that cuts the data set into two equal parts.

The data set consists of 20 Year 12 students. Sort the data in ascending order (or descending order) and find the middle value. Then, use the formula for calculating the median. 

a)The number of hours per week the Year 12 students spend doing homework is given as:

3, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4, 4.5, 5, 5, 5.5, 6, 7, 8, 8.5

Arrange the data in ascending order:

3, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4, 4.5, 5, 5, 5.5, 6, 7, 8, 8.5

Now count the data, which gives us 20 numbers. The middle value is the 10th and the 11th numbers, which are both 4.

So the median of the number of hours per week Year 12 students spend doing homework is 4 hours.

b) If 10% of Year 12 students spend more than k hours per week doing homework, then the value of k can be found using the following formula:

100% - 10% = 90%

So, 90% of students study for k hours or less.

So, the value of k can be found using the median. The median value is 4 hours, and 90% of students are studying for k hours or less. Therefore, 10% of students study for more than k hours.

k = 10% more than the value of the 90th percentile value, which is given by: k = 5.5 + ((8-5.5)/10)*1 = 5.5 + 0.25 = 5.75 hours.

Therefore, 10% of Year 12 students spend more than 5.75 hours per week doing homework.

To know more about the "median": https://brainly.com/question/26177250

#SPJ11

Answer:

$45.15

Step-by-step explanation:

$42*107.5%

=$45.15

PLS GIVE BRAINLIEST

Answer:

45.15

Step-by-step explanation:

Take 100% (Original Price) and add the 7.5, Aka 107.5.

Multiply the price (42) and the percent that you just got, 107.5%.

Use the percent sign!!!

The answer then should be 45.15

You didnt write the whole question :)

a. the standard deviation of ln(X) to be approximately 0.371. b. the probability that X is at most 15,000 kg/day/km is approximately 0.747. c. the distribution has a higher probability of values exceeding the mean compared to values below the mean. d. 17,000 kg/day/km is above the 95th percentile of the distribution.

a. The mean value of ln(X) can be calculated by taking the natural logarithm of the mean value of X. In this case, the mean value of X is 10,281 kg/day/km. Taking the natural logarithm of this value gives us the mean value of ln(X), which is approximately 9.238.

To calculate the standard deviation of ln(X), we need to use the coefficient of variation (CV) provided. The formula to calculate the standard deviation of ln(X) is: σ[ln(X)] = √(ln(1 + CV^2)). Plugging in the value of CV = 0.40, we can calculate the standard deviation of ln(X) to be approximately 0.371.

b. To find the probability that X is at most 15,000 kg/day/km, we can use the properties of the lognormal distribution. We need to convert the given value of 15,000 kg/day/km to ln(X). Taking the natural logarithm of 15,000 gives us approximately 9.615.

Next, we can use the cumulative distribution function (CDF) of the lognormal distribution with the calculated mean value of ln(X) and the standard deviation of ln(X) to find the probability. The CDF represents the probability that X is less than or equal to a certain value. By evaluating the CDF at ln(X) = 9.615, we find that the probability that X is at most 15,000 kg/day/km is approximately 0.747.

c. The probability that X exceeds its mean value is not 0.5 because the lognormal distribution is skewed. Skewness indicates an asymmetry in the distribution, where the tail on one side is longer or heavier than the other. In the case of the lognormal distribution, the right tail is typically longer. This means that the distribution has a higher probability of values exceeding the mean compared to values below the mean.

d. To determine if 17,000 kg/day/km is the 95th percentile of the distribution, we can use the quantile function of the lognormal distribution. The quantile function gives us the value below which a certain percentage of the distribution falls.

By plugging in the desired percentile of 95% into the quantile function with the given mean value of ln(X) and the standard deviation of ln(X), we can find the corresponding value in the original X scale. Evaluating the quantile function at 95%, we find that the value is approximately 15,571 kg/day/km.

Therefore, 17,000 kg/day/km is above the 95th percentile of the distribution.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.

The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.

While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.

Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.

It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.

Learn more about asset at: brainly.com/question/14826727

#SPJ11

Answer:

2

Step-by-step explanation:

15i-18=12

15i= 12+18

15i= 30

I= 30/15= 2

Answer:

Between 50 - 55, or 1 - 100

Step-by-step explanation:

I don't know, give more information?

Answer: The simplest form of a fraction is when the numerator and denominator of the fraction are relatively prime, which means that the numerator and denominator have no common factor.

The distribution of sample means (for a specific sample size) consists of all the sample means that could be obtained (for the specific sample size).

This distribution is created by taking multiple random samples from the population and calculating the mean for each sample. The resulting distribution shows the range of possible sample means and how often they are likely to occur. It does not include all the scores contained in the population or in any one particular sample.
The distribution of sample means (for a specific sample size) consists of c. All the sample means that could be obtained (for the specific sample size). This concept is also known as the sampling distribution of the mean, which represents the distribution of all possible sample means for a given sample size from a population.

Visit here to learn more about sampling distribution brainly.com/question/13501743

#SPJ11

If a matrix is diagonalizable then it is invertible is False.

A matrix can be diagonalizable but not invertible. For example, the zero matrix (a matrix where all entries are 0) is diagonalizable but not invertible.

What is diagonalizable metrix?

A diagonalizable matrix is a square matrix that can be transformed into a diagonal matrix through a similarity transformation. In other words, a matrix A is diagonalizable if there exists an invertible matrix P and a diagonal matrix D such that A = PDP⁻¹.

Geometrically, diagonalizable matrices represent linear transformations that stretch or shrink the space along a set of independent directions, which are called eigenvectors. The diagonal entries of the diagonal matrix D correspond to the eigenvalues of A, which represent the scaling factors along these directions.

Not all matrices are diagonalizable. A matrix is diagonalizable if and only if it has a sufficient number of linearly independent eigenvectors. In particular, symmetric matrices are always diagonalizable, and non-diagonalizable matrices are often associated with non-invertible linear transformations or defective geometric structures.

To know more about diagonalizable metrix, visit:

https://brainly.com/question/24149420

#SPJ1

Complete question is: If a matrix is diagonalizable then it is invertible is False.

Answer: go over 3 up 1

Step-by-step explanation: so like go to 3 then go up 1. Then go 3 more then up 1. Should be right I apologize if I’m wrong but I should be right!

the first few coordinates are (1,3), (2,6), (3,9), (4,12), (5,15), (6,18)

The Volume of Alcohol when Mass is 1000 Kg and Density is 790kg/m³

is 1.265 m³

The relationship between a substance's mass and the amount of space it occupies is known as its density (volume). The density of a substance is determined by the mass, size, and arrangement of its atoms. Density (D) is defined as the product of a substance's mass and volume.

Given:

Mass of Alcohol = 1000 Kg

Density of alcohol = 790kg/m³

Using The formula

Density= Mass / Volume

790 = 1000/ Volume

Volume = 1000/ 790

Volume = 1.265 m³

Learn more about Density here:

https://brainly.com/question/29775886

#SPJ9

The Translation of given Question:

What volume in cubic meters does 1000kg of alcohol occupy with a density of 790kg/m3

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

y=4x+3

Step-by-step explanation:

one A

Answer:

\(\boxed {b = 3}\)

Step-by-step explanation:

Solve for the value of \(b\):

\(-5 (1-4b) - 5 = 34 + 7b - 1 - 4\)

-Use Distributive Property:

\(-5 (1-4b) - 5 = 34 + 7b - 1 - 4\)

\(-5 + 20b - 5 = 34 + 7b - 1 - 4\)

-Combine like terms:

\(-5 + 20b - 5 = 34 + 7b - 1 - 4\)

\(-10 + 20b = 29 + 7b\)

-Take \(7b\) and subtract it from \(20b\):

\(-10 + 20b - 7b = 29 + 7b - 7b\)

\(-10 + 13b = 29\)

-Add \(10\) on both sides:

\(-10 + 10 + 13b = 29 + 10\)

\(13b = 39\)

-Divide both sides by \(13\):

\(\frac{13b}{13} = \frac{39}{13}\)

\(\boxed {b = 3}\)

Therefore, the value of \(b\) is \(3\).

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

To learn more about set ,

https://brainly.com/question/30368748

#SPJ4

Answer:

c

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Odds AGAINST are 3 to5        then odds FOR are  2 to 5

    2/5   = .4 = 40%   chance of winning

The amount that Josephine will be paid is $644.30.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred.

In this situation, Josephine earns a salary of $560.00 per week, plus a commission of 10% on all sales and she sold $843 worth of goods.

The amount she'll be paid will be:

= $560 + (10% × $843)

= $560 + $84.3

= $644.30

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Answer:

The answer is 9

Step-by-step explanation:

(1.4 × 10) - 5

14 - 5 = 9

Step-by-step explanation:

=(1.4×10)-5

=14-5

=9

the answer is 9

Answer:

.05 euro for each 1 pack of small,  around .051 euro for each medium, and around .052 euro for 30

Step-by-step explanation:

best to go for the small pack.  ill be .50 euros to get 10 small packs, .51 euros to get 10 medium packs, and .52 euros to get 1- big packs

This is my best guess, so don"t be rewarding me yet till you get it right

(this is the skeleton in your closet saying don"t forget to thank your gifts