The community center is making a circular garden that will be 18 feet across. They want to fill it with 1 foot of potting soil. How much potting soil
should be ordered?

1. The expected value of the time it takes to drive from Berkeley to the airport parking lot is 60% * 1.3 hours + 40% * 39 minutes.

2. The standard error of the time it takes to drive from Berkeley to the airport parking lot is the square root of [(60% * (1.3 - expected value)^2) + (40% * (39 - expected value)^2)].

3. The expected value of the waiting time for a parking shuttle is the average of the possible waiting times, which is (0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10) / 11.

4. The standard error of the waiting time for a parking shuttle is the square root of the average of the squared differences between each waiting time and the expected value.

5. The expected time it takes to get from Berkeley to the San Francisco airport by driving and taking the parking shuttle is the sum of the expected values of driving time and waiting time for the shuttle.

6. The standard error of the time it takes to get from Berkeley to the San Francisco airport by driving and taking the parking shuttle is the square root of the sum of the squares of the standard errors of driving time and waiting time for the shuttle.

To learn more about error

https://brainly.com/question/30010211

#SPJ11

Answer:

She spent $3

Step-by-step explanation:

It says on the chart that mozzarella cheese is $6 for 16 pounds, though Mary bought 8 pounds.

8 times 2 is 16, and that means 6/2 is $3.

Therefore,

Mary spent $3 on cheese

2x^2 + 4x - 4

..........................

Answer:

x = {-2, -1}

Step-by-step explanation:

Combine like terms: 0 + -2 = -2

x = -2

Simplifying

x = -2

Combine like terms: 0 + -1 = -1

x = -1

Simplifying

x = -1

The bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner, as they need to assign them to two tables of five people each.

To determine the number of different groups of five people that can be formed, we can use the concept of combinations. In this scenario, we have 10 people who need to be divided into two groups of five people each.

The number of ways to choose five people out of 10 can be calculated using the combination formula. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where n represents the total number of people and r represents the number of people to be chosen. In this case, n = 10 and r = 5.

Plugging these values into the formula, we get:

C(10, 5) = 10! / (5! * (10 - 5)!)

= (10 * 9 * 8 * 7 * 6 * 5!) / (5! * 5 * 4 * 3 * 2 * 1)

= (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1)

= 252

Therefore, the bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner. This means that there are 252 distinct ways to divide the 10 people into two tables of five people each, providing flexibility in creating diverse groups for the dinner.

Learn more about divide here:

https://brainly.com/question/15381501

#SPJ11

The binomial distribution approximates a normal distribution under the following circumstance: a. When npq > 10,

where n is the sample size, p is the probability of success, and q is the probability of failure. When npq > 10, the binomial distribution is approximately normal with a mean of np and a standard deviation of sqrt(npq).

Binomial distribution is a probability distribution that describes the probability of a certain number of successes in a fixed number of independent trials, each with the same probability of success. The trials can be either "success" or "failure" events, and the probability of success is denoted by p. The binomial distribution is described by two parameters: n, the number of trials, and p, the probability of success in each trial.

The probability mass function of the binomial distribution is given by the formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable denoting the number of successes, k is the number of successes, n is the number of trials, p is the probability of success in each trial, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

Visit here to learn more about binomial distribution brainly.com/question/29137961
#SPJ11

Answer:

The average skid mark might be 119.1 feet

Step-by-step explanation:

a) The volume is (π/27)y³

b) the  volume is π -(π/27)(3 -h)³.

c) the rate at which the  sand in the lower cone is increasing  is  0.0116 inches per second

a) since we  know The volume of a cone is: V = 1/3πr²h, for the problem here we have h = y and r = y/3, so the volume is : (1/3)π(y/3)²(y) = (π/27)y³

b) Now, we know The empty volume of the lower cone is the same as the volume of the upper cone with y=3, so V = (π/27)(3³) = π , as the sand height is h in the lower cone, so the height of the empty space is (3-h), the volume of the empty space is : (π/27)(3-h)³ and the volume will be the difference between that and the cone volume: π -(π/27)(3 -h)³. c) since the ratio of rates of change in height will be inversely proportional to the surface areas of the sand in each section of the cone, the ratio will be proportional to the square of the distance from the sand surface to the cone tip. For the height of the sand in the lower cone of 1   inch high, its volume is: π -(π/27)(3 -1)³ = π -(8π/27) = 19π/27,  then the volume of the sand in the upper cone is: 3π/4 -19π/27 = 5π/108, the height of the sand in the upper cone is then

(π/27)h³ = π(5/108)

h³ = 5/4 ,h = ∛(5/4), the ratio of the  surface areas in the two cones are  The ratio of surface areas : (2 / ∛(5/4))²,  the rate of decrease is 4/100, rate of increase of sand in lower cone is  (4/100)/((2 / ∛(5/4))²)  =(∛12.5)/200 ≈ 0.0116

To know more  about  volume refer to the link https://brainly.com/question/1578538?referrer=searchResults.

#SPJ4

Answer:

65 miles a day

Step-by-step explanation:

325/5= 65

Answer: g=2

Step-by-step explanation:

Remove the parentheses

7- (-3)g=13

Move the constant to the right

7+3g=13

Calculate

3g=13-7

Divide both sides

39=6

Answer:

g=2

Answer:

1.70

Step-by-step explanation:

15.30 ÷ 9 = 1.70

1.70 dollars per chicken wing

I hope this helps

Answer:

D) (1,1)

Step-by-step explanation:

i believe its D because thats where the line intercepts with the x and y axis :)

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ1

The test statistic for the relative percent differences in perceived life expectancy between men and women is -18.308, and the degrees of freedom for the test statistic are 12.

Let's calculate the test statistic, which is the mean of the relative percent differences for men and women combined:

Men: -28, -24, -21, -22, -15, -13

Women: -22, -20, -17, -9, -10, -11, -6

Combining the data:

-28, -24, -21, -22, -15, -13, -22, -20, -17, -9, -10, -11, -6

The mean of these values is (-28 - 24 - 21 - 22 - 15 - 13 - 22 - 20 - 17 - 9 - 10 - 11 - 6) / 13

= -18.308.

Next, we need to calculate the degrees of freedom for the test statistic. The degrees of freedom can be determined using the formula: df = n - 1, where n is the number of data points.

We have 13 data points, so the degrees of freedom are 13 - 1 = 12.

Therefore, the test statistic is -18.308 and the degrees of freedom are 12.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ4

Answer:

y = 12.75

Step-by-step explanation:

Step 1:  Plug in 9 for x and simplify on the left-hand side of the equation:

-7(9) + 8y = 39

-63 + 8y = 39

Step 2:  Add 63 to both sides:

(-63 + 8y = 39) + 63

8y = 102

Step 3:  Divide both sides by 8 to solve for y:

(8y = 102) / 8

y = 12.75

Thus, 12.75 is the value of y when x = 9

Answer:

(-3,4)

Step-by-step explanation:

3x-y=-13

y=4

Substitute the second equation into the first equation

3x - 4 = -13

Add 4 to each side

3x -4+4 = -13+4

3x = -9

Divide by 3

3x/3 = -9/3

x = -3

(-3,4)

All the evaluations of f(x) and g(x) are:

We have the functions:

f(x) = 2x² + x - 3

g(x) = (2x - 1)/3

Let's evaluate the functions in the given values, to do so, just replace the x by the correspondent value.

a) f(0):

f(x) = 2x² + x - 3

f(0) = 2(0)² + (0) - 3

f(0) = 0 + 0 - 3

f(0) = -3

b) g(0):

g(x) = (2x - 1)/3

g(0) = (2(0) - 1)/3

g(0) = (0 - 1)/3

g(0) = -1/3

c) f(-2):

f(x) = 2x² + x - 3

f(-2) = 2(-2)² + (-2) - 3

f(-2) = 2(4) - 2 - 3

f(-2) = 8 - 2 - 3

f(-2) = 3

d) g(5):

g(x) = (2x - 1)/3

g(5) = (2(5) - 1)/3

g(5) = (10 - 1)/3

g(5) = 9/3

g(5) = 3

e) f(-(2/3)):

f(x) = 2x² + x - 3

f(-(2/3)) = 2(-(2/3))² + (-(2/3)) - 3

f(-(2/3)) = 2(4/9) - 2/3 - 3

f(-(2/3)) = 8/9 - 2/3 - 3

f(-(2/3)) = 8/9 - 6/9 - 27/9

f(-(2/3)) = (8 - 6 - 27)/9

f(-(2/3)) = -25/9

f) g(7/2):

g(x) = (2x - 1)/3

g(7/2) = (2(7/2) - 1)/3

g(7/2) = (14/2 - 1)/3

g(7/2) = (13/2)/3

g(7/2) = 13/6

g) f(3):

f(x) = 2x² + x - 3

f(3) = 2(3)² + 3 - 3

f(3) = 2(9) + 3 - 3

f(3) = 18 + 3 - 3

f(3) = 18

h) g(-7):

g(x) = (2x - 1)/3

g(-7) = (2(-7) - 1)/3

g(-7) = (-14 - 1)/3

g(-7) = -15/3

g(-7) = -5

i) f(1/2):

f(x) = 2x² + x - 3

f(1/2) = 2(1/2)² + (1/2) - 3

f(1/2) = 2(1/4) + 1/2 - 3

f(1/2) = 1/2 + 1/2 - 3

f(1/2) = 1 - 3

f(1/2) = -2

j) g(-1/2):

g(-1/2) = (2*(-1/2) - 1)/3

g(-1/2)  = (-1 - 1)/3 = -2/3

Learn more about evaluating functions at:

https://brainly.com/question/1719822

#SPJ4

Answer:

Step-by-step explanation:

-4=2x+16

-16. -16

-20=2x

20/2=2x/2

10=x

2kilometers........3 minutes

xkilometers..........2 minutes

x=2*2/3=4/3=1.33km

Answer:

1.3 kilometers

Step-by-step explanation:

The first ratio of minutes to kilometers is 3:2

The second ratio of minutes to kilometers is 2:x

x is what you are trying to find (how far the kangaroo travels in 2 minutes)

Solve for x:

Change the ratios into fractions:

Cross multiply:

3x = 4

x = 4/3 = 1.33333333333…

and if you round that to the nearest tenth, you get 1.3.

Hope this helped!

Answer:

Hold the ALT key and type 236 on the number lock keypad.

Step-by-step explanation:

I know this because I look up random stuff because my teachers ask me to.

it A

Step-by-step explanation:

The value of all the missing angles is in the measure of m∠1 = 88°, m∠2 = 42°, and m∠3 = 113°.

We know that,

Sum of all angles of triangle = 180°.

Therefore, m∠3 + 42° + 25° = 180°.

m∠3 = 180° - 67°

m∠3 = 113°

Vertical angles: Vertical angles are the angles that are opposite to each other when two lines cross.

We know that,

Vertical or opposite angles have equal measures.

So, 42° and m∠2 are vertical or opposite angles.

Therefore, the value of m∠2 = 42°.

Similarly, for m∠3, We know that,

Sum of all angles of triangle = 180°.

∴ ∠1 + ∠2 + 50° = 180°.

=> ∠1 + 42° + 50° = 180°

=> m∠1 = 88°.

To learn more about vertical angles visit: https://brainly.com/question/24460838

#SPJ1

The angle 11.83 degrees is equal to approximately 0.206 radians.

Radians are a more natural unit for measuring angles in mathematics because they are based on the radius of a circle.

The relationship between radians and degrees can be expressed using the following conversion factor:

1 degree = π/180 radians

This means that to convert an angle from degrees to radians, we need to multiply it by π/180.

In the case of 11.83 degrees, we can convert it to radians by multiplying it by π/180:

= 11.83 degrees × π/180

= 0.206 radians (rounded to three decimal places)

Therefore, 11.83 degrees equals 0.206 radians.

Learn more about radian and degrees here: https://brainly.com/question/30397749

#SPJ1

Professor Rodgers can create 165 different combinations of three selected students from a class of 11 students.

Given that Professor Rodgers needs one small group of students from his class to participate in a focus group and there are 11 students in the class. We need to find out how many different combinations of three selected students can Professor Rodgers create.

We can solve this question by applying the combination formula.

\(nC_r\) = n! / r!(n - r)!

where n is the total number of students in the class, and r is the number of students selected for the group.

So, the number of combinations of 3 students selected from a group of 11 students can be given as follows:

\(nC_3\) = \(11C_3\) = 11! / (3!(11 - 3)!) = (11 x 10 x 9) / (3 x 2 x 1) = 165

Therefore, Professor Rodgers can create 165 different combinations of three selected students from a class of 11 students.

learn more about combination formula here:

https://brainly.com/question/13095958

#SPJ11

Answer:

Step-by-step explanation:

The equation of a line with a slope of "a" and containing a given point (x₀, y₀) is:

y - y₀ = a(x - x₀)

a = 11,  x₀ = -7,  y₀ = -1

So:

y - (-1) = 11(x - (-7))  

y = 11x + 77 - 1

y = 11x + 76

Answer:

The percentage change is a 40% increase.

Step-by-step explanation:

Given

To determine

The percent change from the first value to the second

Using the formula

Percentage change = [New value - Old value] / | Old value | × 100

                                 = [42 - 30] / |30| × 100

                                 = 12 / 30 × 100

                                 = 0.4 × 100

                                 = 40% change

                                  = 40% increase

Therefore, the percentage change is a 40% increase.

A car travels 440km in 15.4 hours -> In 1 hour, the car travel 1/(15.4) the distance.

So in an hour, the car travel : 440 x 1/(15.4) = 28.5714285714... (round to 29)

So, the average speed of the car is approximately 29 km/h

At a mathematical level, if the two conditions for omitted variable bias are satisfied, then  E(uᵢ| Xᵢ, Wᵢ) = E(uᵢ| Wᵢ)

The correct answer is a. E(uᵢ| Xᵢ, Wᵢ) = E(uᵢ| Wᵢ).

The two conditions for omitted variable bias are:

The omitted variable (Wᵢ) is correlated with the independent variable of interest (Xᵢ).

The omitted variable (Wᵢ) is also related to the dependent variable (Yᵢ).

If these two conditions are satisfied, then the estimated coefficient of Xᵢ will be biased, and the bias will depend on the correlation between Xᵢ and Wᵢ. In this case, the correct specification of the regression model should include the omitted variable Wᵢ.

Option b is incorrect as it describes the assumption of independent and identically distributed (i.i.d.) observations, which is not related to omitted variable bias.

Option c is incorrect as perfect multicollinearity is a situation where there is an exact linear relationship between two or more independent variables, and it can cause numerical problems in estimating the coefficients of the regression model, but it is not related to omitted variable bias.

Option d is incorrect as it describes the presence of outliers and their impact on the regression model, which is also not related to omitted variable bias.

a. E(uᵢ| Xᵢ, Wᵢ) = E(uᵢ| Wᵢ).

For similar question on  mathematical level.

https://brainly.com/question/28027137

#SPJ11

The information that supports the conjecture is the observation that the sum of certain pairs of odd integers results in even integers.

To list information that supports the conjecture that the sum of two odd integers is an even integer, we can consider some examples:

1. 3 + 5 = 8

2. -7 + -1 = -8

3. 13 + 19 = 32

In each of these examples, the sum of two odd integers results in an even integer.

However, it is important to note that listing a few examples does not provide conclusive proof for the conjecture. To prove the conjecture, we need to show that it holds true for all possible cases, which requires a more rigorous and general approach.

To counter the conjecture, we can provide a counterexample where the sum of two odd integers does not result in an even integer:

-1 + 1 = 0

In this case, the sum of two odd integers (both -1 and 1) is an even integer (0).

Therefore, while the examples provided support the conjecture, the existence of a counterexample disproves the conjecture. This illustrates that it is necessary to consider all possible cases and provide a logical and mathematical explanation to prove or disprove a conjecture.

To learn more about  integers, click here:

brainly.com/question/33503847

#SPJ11