Please help I don’t understand.

Answer:

There are 1320 ways in which 15 runners can be awarded for a 200-meter sprint race three different medals.

Step-by-step explanation: Whenever we are supposed to find the ways in which certain things have to be arranged, we use the concept of Permutation.

The number of possible ways to award gold, silver, and bronze medals for a 200-meter sprint with 15 runners is 2,730.

1. Select the gold medal winner: There are 15 runners, so there are 15 choices for the gold medal.

2. Select the silver medal winner: Since the gold medalist is already chosen, there are 14 remaining runners to choose from for the silver medal.

3. Select the bronze medal winner: With gold and silver medalists chosen, there are now 13 remaining runners to choose from for the bronze medal.

Multiply the number of choices together: 15 (gold) x 14 (silver) x 13 (bronze) = 2,730 possible ways to award the medals.

To know more about gold medalist click on below link:

https://brainly.com/question/5360079#

#SPJ11

Answer:

123.2 miles

Step-by-step explanation:

Given that One airplane is 78 miles due south of a control tower. Another airplane is 52 miles from the control tower at a heading of N 38 degrees E. To the nearest tenth of a mile, how far apart are the two airplanes?

The angle Ø = 90 + 52 = 142 degree

Or 180 - 28 = 142 degree

Using cosine formula

D^2 = 78^2 + 52^2 - 2(78)(52)Cos142

D^2 = 6084 + 2704 - 8112Cos142

D^2 = 8788 + 6392.34

D^2 = 15180.34

D = 123.2 miles

Therefore, the two planes are 123.2 miles apart.

Answer:

The number is 888888

Step-by-step explanation:

Here, we are interested in knowing the six digit number thought of by No time.

The clue we have here is that the six digit number has same value of digit for all its constituent.

Thus, if the digit in the thousands place is 8,000, then it actually means that it carries a value of 8 and thus, all the digits in the number is 8 alone.

So the 6 digit number is 888888

The order pair will be greater than (-2,5) because when substituted the value (-2,5) will give 11 that will be false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers. Two variables are frequently represented by ordered pairs. (x, y) = (7, - 2) means that x = 7 and y = -2. The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.

Here,

The given inequality,

-3x+y<11

at (0,0)

0<11

it is true.

at (1,1)

-3+1<11

-2<11

it is true.

Because 11 will be false when the value (-2,5) is substituted, the order pair will be greater than (-2,5).

To know more about ordered pair,

https://brainly.com/question/29441556

#SPJ1

To find the prime number less than 200 using the principle of inclusion-exclusion, we first list all the primes less than 200, which are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, and 193.

Next, we use the principle of inclusion-exclusion to determine the prime numbers less than 200. The principle of inclusion-exclusion states that if we want to find the total number of elements in two or more sets, we must subtract the number of elements that are in the intersection of those sets.

In this case, we want to find the prime numbers less than 200, so we need to subtract the primes that are not less than 200. The only prime that is not less than 200 is 199, so we subtract it from the list of primes less than 200.

Using the principle of inclusion-exclusion, we get:

Total number of primes less than 200 = number of primes less than 200 - number of primes not less than 200
= 46 - 1
= 45

Therefore, there are 45 prime numbers less than 200 using the principle of inclusion-exclusion.

Visit here to learn more about  prime numbers : https://brainly.com/question/30358834
#SPJ11

The particular solution Yp(t) is found by following these steps and combining it with the complementary solution Yc(t) to get the general solution Y(t) = Yc(t) + Yp(t).

To find the particular solution to \(y'' + y' - 12y = -340sin(t)\) using variation of parameters, follow these steps:
1. Find the complementary solution Yc(t) for the homogeneous equation \(y'' + y' - 12y = 0\). The characteristic equation is\(r^2 + r - 12 = 0\), which has roots r1 = -4 and r2 = 3. Thus, \(Yc(t) = C1e^(-4t) + C2e^(3t)\).

2. Assume the particular solution Yp(t) is in the form \(Yp(t) = u1(t)e^(-4t) + u2(t)e^(3t)\). Calculate the Wronskian \(W(Y1, Y2) using Y1 = e^(-4t) and Y2 = e^(3t).\)  3. Find u1'(t) and u2'(t) using the given nonhomogeneous equation: -340sin(t) = -Y1(t)u1'(t) + Y2(t)u2'(t).

4. Integrate u1'(t) and u2'(t) to find u1(t) and u2(t).
5. Plug u1(t) and u2(t) back into the particular solution \(Yp(t) = u1(t)e^(-4t) + u2(t)e^(3t\)).

To know more about complementary refer here:

https://brainly.com/question/6242138#

#SPJ11

Given: A = 56°, c = 25.8, and C = 90° for a right triangle ABC.

Step 1: Finding angle B

Using the fact that the sum of the angles of a triangle is 180°:

A + B + C = 180°

Substituting the given values:

56° + B + 90° = 180°

Simplifying:

B = 180° - 146°

B = 34°

Step 2: Finding the lengths of sides a and b

Using the sine function:

a/sin(A) = c/sin(C)

Substituting the given values:

a/sin(56°) = 25.8/sin(90°)

Simplifying:

a = 25.8 * sin(56°)/sin(90°)

Calculating:

a ≈ 21.1 (rounded to the nearest tenth)

Similarly:

b/sin(B) = c/sin(C)

Substituting the given values:

b/sin(34°) = 25.8/sin(90°)

Simplifying:

b = 25.8 * sin(34°)/sin(90°)

b ≈ 14.9 (rounded to the nearest tenth)

Step 3: Finalizing the results

Therefore, we have:

Angle A = 56°

Angle B = 34°

Angle C = 90°

Side a ≈ 21.1 units

Side b ≈ 14.9 units

The measures of angles A, B, and C in the right triangle ABC are 56°, 34°, and 90°, respectively.

The lengths of sides a and b are approximately 21.1 units and 14.9 units, respectively.

To know more about sine function visit:

https://brainly.com/question/32247762

#SPJ11

Considering the sum and the product of the roots of the quadratic equation, it is found that the numeric value of the expression is given as follows:

\(\alpha + \beta = -2.5\)

A quadratic equation is defined as follows:

\(y = ax^2 + bx + c, a \neq 0\)

The roots of the equation are given as follows:

\(\alpha, \beta\)

The sum of the roots is given as follows:

\(\alpha + \beta = -\frac{b}{a}\)

The product of the roots is given as follows:

\(\alpha\beta = \frac{c}{a}\)

In the context of this problem, the product is of 4, as \(\alpha\beta = 4\) hence:

c/a = 4

c = 4a.

The coefficients are in an arithmetic progression, hence:

We have that c = 4a, hence:

4a = a + 2d

2d = 3a

d = 1.5a.

Hence coefficient b is calculated as follows:

b = a + d = a + 1.5a = 2.5a.

Then the sum of the roots is given as follows:

\(\alpha + \beta = -\frac{b}{a} = -\frac{2.5a}{a} = -2.5\)

More can be learned about quadratic equations at https://brainly.com/question/24737967

#SPJ1

The statement that best describes the infοrmatiοn presented in the chart is: "The number οf hurricanes was increasing but has decreased in recent years."

Hurricanes, knοwn generically as trοpical cyclοnes, are lοw-pressure systems with οrganized thunderstοrm activity that fοrm οver trοpical οr subtrοpical waters. They gain their energy frοm warm οcean waters.

The chart shοws the number οf hurricanes οf categοry 1 οr higher that οccurred during specific series οf years, and it indicates that the number οf hurricanes increased frοm 13 in 1980-1989 tο 23 in 2000-2009, and then decreased tο 10 in 2010-2017.

Therefοre, the chart suggests that the number οf hurricanes was increasing, but it has decreased in recent years. The chart dοes nοt prοvide any infοrmatiοn abοut tοrnadοes in Finleyville οr the relatiοnship between the number οf hurricanes and temperature.

To know more about problems related to chart,

https://brainly.com/question/26851221

#SPJ1

The statement that best describes the information in the graph is: "The number of hurricanes has increased but decreased in recent years." The graph shows that the number of Category 1 or greater hurricanes increased from 1980 to 2009, but decreased from 2010 to 2017.

Answer:

-9 + y

Step-by-step explanation:

For this problem, you have to combine like terms.

-9 is the only number that doesn't have a variable.

5y, -7y, 3y have all the the same variables, so we'll combine those.

5y - 7y = -2y

-2y + 3y = 1y

Solution: -9 + y

Answer:

f(-2) = g(-2)

The exact value of side lengths of triangle are d= \(\frac{8}{\sqrt{3} }\) and h=\(\frac{5\sqrt{2} }{2}\)

A triangle is a closed, two-dimensional shape that consists of three straight sides and three angles. It is one of the basic shapes in geometry and is often used in various mathematical and scientific contexts.

The three sides of a triangle are usually named using lowercase letters a, b, and c, and the three angles are named using uppercase letters A, B, and C, with the opposite angles and sides having the same letter. The sum of the angles in a triangle is always 180 degrees, and this property is known as the Angle Sum Theorem.

Triangles can be classified based on their side lengths and angles. Based on the side lengths, triangles can be classified as:

Scalene triangle: A triangle in which all three sides have different lengths.

Isosceles triangle: A triangle in which two sides have the same length, and the third side has a different length.

Equilateral triangle: A triangle in which all three sides have the same length.

Let's start with the first triangle. We can use the trigonometric ratios for a 30-60-90 triangle:

sin(60) = opposite / hypotenuse = d / (2d) = \(\frac{1}{2}\)

cos(60) = adjacent / hypotenuse = 4 / (2d) = \(\frac{1}{2\sqrt{3} }\)

Solving for d:

d = 2 * sin(60) = 2 *\(\frac{1}{2}\)  = 1

2d = 4 / cos(60) = \(\frac{4}{\frac{1}{2\sqrt{3} }}\) = \(\frac{8}{\sqrt{3} }\)

So d = 1 and 2d = \(\frac{8}{\sqrt{3} }\) in the first triangle.

For the second triangle, we can use the trigonometric ratios for a 45-45-90 triangle:

sin(45) = opposite / hypotenuse = \(\frac{h}{5}\)

cos(45) = adjacent / hypotenuse = \(\frac{h}{5}\)

Since sin(45) = cos(45) = \(\frac{1}{\sqrt{2} }\), we can solve for h:

h = 5 * sin(45) = 5 * \(\frac{1}{\sqrt{2} }\) = \(\frac{5\sqrt{2} }{2}\)

So h =  \(\frac{5\sqrt{2} }{2}\) in the second triangle.

To know more about hypotenuse visit:

https://brainly.com/question/16893462

#SPJ1

B

1) Gathering the data

Theresa, Brother 1, Brother 2 and her Sister

Ages: 12 15 18

Mean: 13

2) We can find out Theresa's age by applying the Arithmetic Mean formula. There are four siblings, so 4 in the denominator. Let's call Theresa's age by "t" and replace x by 13 (the mean):

3) Hence, Theresa is 7 years old.

Answer:

Step-by-step explanation:

Precision is defined as the ratio of true positives (TP) to the total predicted positives (TP + FP). In this case, the confusion matrix shows 46 TP and 4 FP, so the precision can be calculated as:

precision = TP / (TP + FP) = 46 / (46 + 4) = 0.92

Rounding to 2 decimal places, the precision ratio is 0.92.

Answer:

Step-by-step explanation:

The formula is F(d) = 100+0.10d.

We must find the cost per meter to write the function. We know that the cost to climb a 3000 meter mountain was 400:

400=100+3000(x)

Subtract 100 from each side:

400-100 = 100+3000x-100

300 = 3000x

Divide both sides by 3000:

300/3000 = 3000x/3000

0.10 = x

This is the cost per meter.  Using this, we have the formula

F(d) = 100+0.10(d)

Answer:

Step-by-step explanation:

Considering all the given and the vertical distance of 3000 m we get below equation

Solving, we find the fee for each meter:

So the equation for total fee including climbing x meters is:

The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

Learn more about voter turnout at:

brainly.com/question/29639449

#SPJ4

From the hypothesis test conducted, the calculated t-statistic of -3.57 is less than the lower critical t-value of -2.064. This tells us that the observed sample mean of 87% is significantly different from the claimed population mean of 92% at the 0.05 significance level. Therefore, the null hypothesis can be rejected and conclusions can be made that that there is enough evidence to suggest that the average grade of the students in the Algebra 2 class this year is not equal to the average grade of the same students in the Algebra 1 class two years ago.

To determine whether there is enough evidence to reject the teacher's claim, we can conduct a hypothesis test. A one-sample t-test will be us to compare sample mean.

Here are the sample statistics:

Sample size (n) = 25

Sample mean (X) = 87%

Sample standard deviation (s) = 7%

A significance level (α) of 0.05, wil be used

We first calculate the t-statistic, with  (X - μ) / (s/√n),

t = (87 - 92) / (7/√25) = -5 / (7/5) = -3.57

Then, we check this value against the critical t-value for a two-tailed test with 24 degrees of freedom (n-1), and α = 0.05.

The critical t-values for a two-tailed test at α = 0.05 and df = 24 are approximately -2.064 and +2.064.

-3.57 t-test is less than the lower critical t-value of -2.064. This means that the observed sample mean of 87% is significantly different from the claimed population mean of 92% at the 0.05 significance level.

Find more exercises on  hypothesis test.;

https://brainly.com/question/17099835

#SPJ1

Answer:

-5/4  or -1.25 is the slope

Step-by-step explanation:

Slope (gradient)  = rise/run or (y1 - y2/x1 - x2)

We will take the points so that we have a whole number:

Therefore the two points are:

(10,0) and (50, -30)

Now the gradient;

(y1 - y2/x1 - x2)

0 - 50/10 - (-30)

-50/40

-5/4

-1.25

A. The average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.

B.  The lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.

a. Static Storage Policy:

To minimize labor, we can allocate the SKUs to storage locations based on their respective travel times from the receiving area to the storage area. In this case, the travel times are 1 minute for location A, 2 minutes for location B, and 2 minutes for location C.

Given that we maintain a constant inventory of one pallet of SKU x and two pallets of SKU y at all times, we can allocate them as follows:

SKU x: Allocate it to the storage location with the shortest travel time, which is location A (1 minute).

SKU y: Allocate both pallets to the storage location with the next shortest travel time, which is location B or C (both have a travel time of 2 minutes).

By allocating SKU x to location A and both pallets of SKU y to either location B or C, we ensure that the SKUs are stored in the closest available locations, minimizing the travel time needed to move them.

The average number of minutes per day spent moving these products can be calculated by considering the dispatch and receiving schedule:

SKU x: Dispatched every three days. Assuming it takes 1 minute to move a pallet from storage to the receiving area, the average daily movement time for SKU x would be (1/3) minutes per day.

SKU y: Dispatched every two days. Assuming it takes 2 minutes to move a pallet from storage to the receiving area, the average daily movement time for SKU y would be (2/2) minutes per day.

Adding up the average daily movement times for SKU x and SKU y, we get:

Average daily movement time = (1/3) + (2/2) = 1.33 minutes per day.

Therefore, the average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.

b. Heap Policy:

The heap policy involves storing the most frequently dispatched SKU closest to the receiving area. In this case, SKU y is dispatched every two days, while SKU x is dispatched every three days.

To find the lowest value of average minutes per day used to move these SKUs with the heap policy, we need to consider the different initial placements of the SKUs.

Scenario 1: Initial Placement - Location A for SKU x and Location B for SKU y

SKU x: Travel time from storage to the receiving area = 1 minute

SKU y: Travel time from storage to the receiving area = 2 minutes

Average daily movement time:

SKU x: (1/3) minutes per day

SKU y: (2/2) minutes per day

Total average daily movement time = (1/3) + (2/2) = 1.33 minutes per day

Scenario 2: Initial Placement - Location A for SKU y and Location B for SKU x

SKU y: Travel time from storage to the receiving area = 1 minute

SKU x: Travel time from storage to the receiving area = 2 minutes

Average daily movement time:

SKU y: (1/2) minutes per day

SKU x: (2/3) minutes per day

Total average daily movement time = (1/2) + (2/3) ≈ 1.17 minutes per day

Therefore, the lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.

Learn more about   lowest value from

https://brainly.com/question/30236354

#SPJ11

So the probability that a randomly selected contestant is wearing tennis shoes given that the contestant is under 18 is 8/21.

To find the probability that a randomly selected contestant is wearing tennis shoes given that the contestant is under 18, we need to use conditional probability.

Let A be the event that the contestant is wearing tennis shoes and B be the event that the contestant is under 18. We want to find P(A|B), which is the probability of A given B.

From the table, we see that there are 21 contestants under 18 and out of those, 8 are wearing tennis shoes. So:

P(A|B) = P(A and B) / P(B)

P(A and B) = 8 (number of contestants who are under 18 and wearing tennis shoes)

P(B) = 21 (number of contestants who are under 18)

Therefore,

P(A|B) = 8/21

To know more about probability,

https://brainly.com/question/30034780

#SPJ11

Complete question:

ormalik entered his sister into their town's smelly shoe competition. malik observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes.

tennis shoes high heels under 182118 or older 52.

what is the probability that a randomly selected contestant is wearing tennis shoes given that the contestant is under 18?

Answer:

3.09 per ft

Step-by-step explanation:

1 yd = 3ft

so 2 yd = 6ft

6ft = 18.54

18.54  /6ft

3.09 per ft

Since the point B is between points A and C, the length BC is 22.25 units

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

Length AB = 6x - 9

Length BC = 3x + 17

Length AC = 5x + 16

The above implies that the point B is between points A and C

So, we have the following equation

AC = AB + BC

Substitute the known values in the above equation

So, we have the following equation

5x + 16 = 6x - 9 + 3x + 17

Collect the like terms

So, we have the following equation

5x - 6x - 3x = -9 + 18 - 16

Evaluate the like terms

So, we have the following equation

-4x = -7

Divide by -4

x = 7/4

Substitute x = 7/4 in the equation BC = 3x + 17

So, we have the following equation

BC = 3 x 7/4 + 17

Evaluate

BC = 22.25

Hence, the numerical length of BC is 22.25 units

Read more about lengths at

brainly.com/question/19131183

#SPJ1

By answering the given question, we may state that Hence, the first-time interest home buyer's mortgage brokerage fees would be $1,653.45.

Divide the principal by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing formula. This method makes it easiest to calculate interest. The most typical technique to figure out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a friend and agrees to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an annual percentage of the loan total. The interest on the loan is this percentage.

In order to determine the mortgage brokerage fees, we must first determine 1.05% of the funded amount and then add the $300 flat charge.

The formula for 1.05% of $128,900 is as follows:

1.05/100 x $128,900 = $1,353.45

The following would be the mortgage brokerage fees:

$1,353.45 + $300 = $1,653.45

Hence, the first-time home buyer's mortgage brokerage fees would be $1,653.45.

To know more about interest visit:

https://brainly.com/question/28792777

#SPJ1

Answer:

(x-5;y+6)

Step-by-step explanation:

1) the difference between the coordinates before translation and after the translation is*: Δx=-5; Δy=+6, then

2) the rule of the translation is: (x-5;y+6).

* for example, the red dot. The difference for X is: -2-3=-5. The difference for Y is: 2--4=+6.

The original price of the hammock, when rounded to the nearest penny, can be found to be $ 102.67.

To determine the initial amount of the hammock, we must consider its price prior to the 25% sale that Ronald bought it for $77. Let us denote the original price as P. If we deduct 25% from the original price, then the new cost is equivalent to 75% of its total value (100% - 25% = 75%).

Thus, we can represent this calculation as:

Sales price = 0. 75 x P

77 = 0. 75P

P = 77 / 0. 75

P = $ 102. 67

Find out more on original price at https://brainly.com/question/28914479

#SPJ1

Answer:

350

Step-by-step explanation:

using the formula given

4D -250 substitute 150 for D

4(150)-250 = 350.

it's not shown? but it's the answer. unless there are pieces missing to the question.