Josh cycled 8 laps on a bicycle path surrounding a lake. Each lap was the same length. If he cycled a total of 26.4mi, what was the length of each lap around the lake? Write your answer in feet. Use the table of conversion facts as necessary, and do not round your answer. ft

The probability that the sum of the numbers when two dice are rolled is an odd number is given as follows:

0.5.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Each dice has six possible outcomes, hence the total number of outcomes when two dice are rolled is given as follows:

6² = 36.

When we look at the pattern of the sum of two dice, from (1,1), (1,2), ..., to (6,6) we see that they alternate between even numbers and odd numbers, hence:

Hence the probability is given as follows:

p = 18/36 = 0.5.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Selena and Drake both are correct.

For such more questions on

https://brainly.com/question/11489318

#SPJ8

Answer:

∠ x = 58°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠  BAD is an exterior angle of the triangle , then

x + 56° = 114° ( subtract 56° from both sides )

x = 58°

The rule for a 180° counterclockwise rotation is-

So, we just have to change the sign of each coordinate.

Answer:

a) about 190 acres

b) around 240 acres

c) exponential decay because the amount of land available is decreasing at an increasingly rapid rate over time.

h(x) = f(x)g(x) represents the product of two functions, combining their behaviors into a new function.

In mathematics, the expression h(x) = f(x)g(x) represents the product of two functions, f(x) and g(x). When evaluating h(x) for a given value of x, it involves multiplying the corresponding values of f(x) and g(x).

The product of two functions allows for the combination of their individual behaviors and characteristics. The resulting function, h(x), inherits properties from both f(x) and g(x). The behavior of h(x) will depend on the specific functions involved.

For example, if f(x) represents a linear function and g(x) represents an exponential function, their product h(x) = f(x)g(x) will exhibit a combined behavior reflecting both linearity and exponential growth. The specific form of the functions will determine the precise behavior of h(x) and its graph.

It is important to note that the product of two functions assumes that the functions are defined for the given values of x and that the multiplication operation is valid for the corresponding function values.

h(x) = f(x)g(x) represents the product of two functions, combining their behaviors to form a new function. The specific nature of h(x) depends on the characteristics of f(x) and g(x).

For more such questions on functions

https://brainly.com/question/25638609

#SPJ8

answer: A survey

explanation: The manager of the restaurant is conducting a survey to determine which sandwich is more preferred by customers. He is taking a random sample of customers that have tried both sandwiches and asking them which sandwich they like best. The survey method is a statistical way of collecting data and it is a non-experimental design, because the manager is not controlling the variables that may affect the outcome. The outcome of this survey is based on the customers' preference of the sandwiches, and it is a way to gather data on their opinion

Answer: A

Step-by-step explanation:

For there to be a negative association between x and y, the slope of the graph must be negative (so when x is increasing, y is decreasing).

Now, we just need to determine which one has a linear relationship.

Answer:

f(X) = ( - X) ½

is the answer

pls brainliest

Answer:

60

Step-by-step explanation:

1. \((3 + 7) * (6)\)

2. \((10) * (6)\)

3. \(60\)

Answer:

  (3, -5.4)

Step-by-step explanation:

You want the center of mass of a plane region of uniform density bounded by the parabola y = 3x -x² and the line y = -3x.

The height of the region is the difference between the boundaries:

  h(x) = (3x -x²) - (-3x) = 6x -x² = x(6 -x)

The height is zero at x=0 and x=6, where the factors of h(x) are zero.

The axis of symmetry of this height function is halfway between the zeros, at x = (0+6)/2 = 3.

The area of the region is the integral of the height function between the bounds where h(x) = 0:

  \(\displaystyle A=\int_0^6(6x-x^2)\,dx=\left(3x^2-\dfrac{x^3}{3}\right)_0^6=36\)

The y-coordinate of the center of mass is the integral of the product of a differential of mass and its y-dimension, divided by the area.

  \(\displaystyle M_y=\int_0^6(\dfrac{(3x -x^2)+(-3x)}{2}(6x-x^2))\,dx=\dfrac{1}{2}\int_0^6(x^4-6x^3)\,dx\\\\=\left(\dfrac{x^5}{10}-\dfrac{3x^4}{4}\right)_0^6=\dfrac{6^4}{20}(2\cdot6-15)=\underline{-194.4}\)

Dividing this moment by the area, we find the desired y-coordinate to be ...

  \(C_y=\dfrac{-194.4}{36}=-5.4\)

The x-coordinate of the center of mass is on the line of symmetry, at ...

  \(C_x=3\)

The center of mass is (3, -5.4).

__

Additional comments

Alternatively, you could take advantage of the published coordinates of the centroid of a parabolic region: 4/10 of the height above the flat edge, and on the line of symmetry. Here, the region is bounded by the line at x=3:

  y = -3x = -3(3) = -9

and the parabola at x=3:

  y = x(3 -x) = 3(3 -3) = 0

Then the y-coordinate of the centroid is ...

  -9 +0.4(0 -(-9)) = -9 +3.6 = -5.4 . . . . . as above

  centroid = (3, -5.4)

In the integral to find the y moment, we used the centroid of the differential area as the average of the upper and lower bounds of that area:

  ((3x -x²) + (-3x))/2 = -x²/2

Modern calculators do this integration easily, achieving full calculator precision.

Answer: The square root of 1681 is 41.

Answer:

41

Step-by-step explanation:

It is 41

41 * 41 = 1681

41 ^ 2 = 1681

Answer:

a) 69.36 square meters

b) 242,760 cost of tiles

c) 332,928 total paid for patio

Step-by-step explanation:

A rectangular patio is 10.2 m long 6.8 m wide

a) calculate the area of the patio

b) If tiles cost # 3500/m^2, calculate the cost of tiling the patio

c) If the cost of labour is 1300 /m2.

Calculate the amount paid for the patio​

---------------------------------------------------

Area of the patio is length x width:

10.2 x 6.8 = 69.36 square meters

---------------------------------------------------

Tile cost = area x cost of tiles/square meter :

69.36 x 3500 = 242,760

---------------------------------------------------

Labour cost = area x cost of labour/square meter:

69.36 x 1300 = 90,168

----------------------------------------------

Total paid for the patio = cost of tiles + cost of labour

= 242,760 + 90,168 = 332,928

Answer: answer is D 0.02

Step-by-step explanation:

Got it right

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

Hope this answer your question

Please rate the answer and

mark me ask Brainliest it helps a lot

Answer:

x = -5/4

Step-by-step explanation:

"3 more than a number" is 3 + x

The product of 3+x and 8 is (3+x)(8)

Solve:

-Chetan K

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

Read more about net income here:

brainly.com/question/28390284

#SPJ1

complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

Answer:

some people do 10 x 8 =80 and then 8 x 3=24 then add 80+24= 104

Step-by-step explanation:

27/20000 is  the rate as a fraction in simplest form.

In math, what is a fraction?

Which fraction types are there?

270 robberies per 200,000 residents in fraction form = 270/200000

                                                                                          = 27/20000

Learn more about fraction

brainly.com/question/10354322

#SPJ9

The probability that the next blog started will be about pop culture is approximately 0.0556. Experimental probability is the probability that is obtained by conducting experiments. Experimental probability is based on how many times an event occurs compared to the number of trials or experiments conducted.

The group of students in a communications course is required to start a blog on a topic of their choice, and many have already begun blogging.

The number of blogs is given below:Pop culture = 5Literature = 1Business = 84The total number of blogs started by the students is 90.The experimental probability that the next blog started will be about pop culture can be calculated by the following formula:Experimental probability = Number of times the event occurs / Total number of trials or experimentsLet E be the event that the next blog started will be about pop culture.

Then the number of times the event occurs is 5.So the experimental probability that the next blog started will be about pop culture is given by:Experimental probability = 5/90 = 1/18The experimental probability that the next blog started will be about pop culture is 1/18 or 0.0556 (rounded to four decimal places).

Therefore, the probability that the next blog started will be about pop culture is approximately 0.0556.

For more such questions on Experimental probability

https://brainly.com/question/8652467

#SPJ8

The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

Learn more about the volume of rectangular prism on:

https://brainly.com/question/24284033

Answer:

The required expression is \(2(2x+\frac{5}{2})\)

Step-by-step explanation:

Let the number be x

We are supposed to write the algebraic expression of given statement

Double the number = 2x

Quotient of five and two =\(\frac{5}{2}\)

Now we are given that Double the sum of a double the number and quotient of five and two

So, Sum of a double the number and quotient of five and two =\(2x+\frac{5}{2}\)

So, Double the sum of a double the number and quotient of five and two =\(2(2x+\frac{5}{2})\)

Hence The required expression is \(2(2x+\frac{5}{2})\)

Answer:

78.99

Step-by-step explanation:

Rounding to the 2nd decimal place the number 78.987625

Write down everything upto and including the 2nd decimal: 78.98

Check out the next digit. If >= 5, then increase the 2nd decimal digit above by 1, if not leave it as is.

For 78.987625 the digit next to the 2 decimal digit is 7 so we increase 78.98 to 78.99

Answer:

The answer is J.

Step-by-step explanation:

Answer:

For two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the two longer sides should equal the ratio of the two shorter sides.

Step-by-step explanation:

Answer:

605

Step-by-step explanation:

11x55=605

Answer: \(5:00\ PM\)

Step-by-step explanation:

Given

Truck A speed is \(v_a=60\ kmph\)

Truck B speed is \(v_b=80\ kmph\)

Truck A leaves 2 hours before truck B

Distance traveled in the 2 hour

\(\Rightarrow 60\times 2=120\ km\)

Suppose Truck B will catch truck A after t hours

\(\therefore 120+60t=80t\)

\(\Rightarrow 120=20t\\\Rightarrow t=6\ hr\)

Overtake time is \(9:00am +2+6=5:00\ PM\)

Answer:

5880 ways

Step-by-step explanation:

For selections like this, we solve using the combination theory. Recall that

nCr = n!/(n-r)!r!

Hence given to find the number of ways 6 gentleman and 4 ladies can be choosen out of 10 gentleman and 8 ladies,

= 10C6 * 8C4

= 10!/(10-6)!6! * 8!/(8-6)!6!

= 10 * 9 * 8 * 7 * 6!/4 *3 *2 * 6! * 8 * 7 * 6!/2 * 6!

= 210 * 28

= 5880 ways

The arrangement can be done in 5880 ways