PLEASE HELP Polygon KLMN is drawn with vertices at K(0, 0), L(5, 2), M(5, −5), N(0, −3). Determine the image vertices of K′L′M′N′ if the preimage is rotated 270° clockwise.

K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0)
K′(0, 0), L′(−2, −5), M′(−5, 5), N′(−3, 0)
K′(0, 0), L′(−5, −2), M′(5, −5), N′(3, 0)
K′(0, 0), L′(−5, −2), M′(−5, −5), N′(0, 3)

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

The reason that the point (3, 5) is not a solution to the given inequality is given below.

We are given that;

y > 2x + 1

Now,

The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.

If we have (3,5) as a point, we can see that it lies on the boundary line

y = 2x + 1.

Since the inequality is strict (y >), points on this line are not solutions to the inequality

Therefore, by the inequality the answer will be given above.

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Answer:

600 po

Step-by-step explanation:

kasi po round the whole numbers

Answer:

18

Step-by-step explanation:

4 miles in 20 mins = 1/5 mile in 1 min

1 1/2 hours = 90 mins

1/5*90=18

Answer:

18 miles

Step-by-step explanation:

if Samantha can ride her bicycle 4 miles in 20 minutes, that means every 5 minutes she rides for a mile.

20 / 4 = 5

Using that info, we can solve this.

1 hr & 30 min = 90 min

90 / 5 = 18 miles

Answer:

90-24=76°

Step-by-step explanation:

____________________

Answer:

360 ft

Step-by-step explanation:

Answer:

x = 42

y = 21

Step-by-step explanation:

Since its a right triangle, we have:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

\(sin (60) = \frac{21\sqrt{3} }{x} \\\\x= \frac{21\sqrt{3} }{sin (60)} \\\\x= \frac{21\sqrt{3} }{\frac{\sqrt{3} }{2} } \\\\x = \frac{21\sqrt{3} *2 }{\sqrt{3} } \\\\x = 21*2\\\\x = 42\)

\(cos (60) = \frac{y}{x}\\\\cos (60) = \frac{y}{42}\\\\y = cos (60)*42 \\\\y = \frac{1}{2} * 42\\\\y = 21\)

The probability that in a given week in September, it will rain on at most two days is 0.12.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The probability that it rains on any given day in September = 0.3.

P ( rains ) = 0.3

And,

The probability that it will not rain on any given day in September.

P (no rain) = 1 - 0.3

P(no rain) = 0.7

Now,

The probability is that in a given week in September, it will rain on at most two days.

= P (x ≤ 2)

= P(no rain) + P(rain) + P(rain)

= 0.7 + 0.3 + 0.3

= 0.12

Thus,

The probability that in a given week in September, it will rain on at most two days is 0.12.

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Mean uses \(\frac{17}{18}\) inches of chalk

What is algebra ?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.

She used \(\frac{1}{3}\) of a piece of chalk that was originally \(2\frac{5}{6}\)  inches long.

Now, we have to find how many inches of chalk did she use

= 1/3 × 2 5/6

= 1/3 × 17/6

= 17/18 inches.

Hence, Mean uses 17/18 inches of chalk.

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Answer:

23% probability the family has at least 3 children under the age of 21.

Step-by-step explanation:

If a family is selected at random, what is the probability the family has at least 3 children under the age of 21?

15% have three children under the age of 21

5% have 4 children under the age of 21

3% have 5 or more children under the age of 21.

So:

15% + 5% + 3% = 23%

23% probability the family has at least 3 children under the age of 21.

Answer:

It will cost $18 to put 15 liters of gas into your car.

Step-by-step explanation:

We have to find the unit price first, or the price per gallon. To find that, we would do $90 divided by 75 liters, which gives us $1.2 per gallon. Then, to find the price we have to pay for 15 liters, we would do 1.2 multiplied by 15, which is 18! :)

Answer:

1,600

Step-by-step explanation:

I did a bit of guessing becuase I don't know the exact way to reverse the formula, but here is what I did!

I guessed around 1,550 at first, but it was too low. I kept increasing the base number until I reached 1,600, and came to the conclusion by doing the equation;

1,600(0.6)=960

Then, since it increases each month by 60% of the previous month's value, you do

1,600+960=2,560

By using the substitution method, we will see that the value of y is 23.

Here we have a system of linear equations, the system is:

y - x = 11

x = 12

The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:

y - 12 = 11

Now we can solve this for y, we will get:

y = 11 + 12

y = 23

That is the value of y.

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Answer:

E(x), σx

Step-by-step explanation:

We have to x be their average annual income we need to find p ( x => 50000)

To find this probability we need  E(x), σx

For we find p ( x => 50000) we find the z value for 50000, ie the # of standart deviations that 50000 is away form   E(x)

z = (x  -  E(x)/σx)

now  p ( x => 50000) = p (z => (x  - E(x)/σx )

hence we can say that, to find p ( x => 50000) we need the parameters E(x), σx

The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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Answer:

Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Step-by-step explanation:

Answer:

Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Step-by-step explanation:

The null hypothesis was the applicants last year​ score, on​ average was 52.5 points.

Conclusion: She fails to reject the null hypothesis that the mean is 52.5 points.

At the end of the​ year, they find that the candidates this year had a mean of 55.3 points.

A type II error occurs when the researcher fails to reject the null hypothesis when it is false. Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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Using the Poisson distribution, we have that:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

For this problem, the mean is given as follows:

\(\mu = 13\)

The probability of having exactly 10 days of precipitation in the month of April is P(X = 10), hence:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 10) = \frac{e^{-13}13^{10}}{(10)!} = 0.0859\)

There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.

The probability of having less than three days of precipitation in the month of April is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-13}13^{0}}{(0)!} \ approx 0\)

\(P(X = 1) = \frac{e^{-13}13^{1}}{(1)!} = 0.00003\)

\(P(X = 2) = \frac{e^{-13}13^{2}}{(2)!} = 0.00019\)

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.00003 + 0.00019 = 0.00022

There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.

For more than 15 days, the probability is:

P(X > 15) = P(X = 16) + P(X = 17) + ... + P(X = 20)

Applying the formula for each of these values and adding them, we have that P(X > 15) = 0.2364, hence:

There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.

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Answer:

y = -4x - 1

Step-by-step explanation:

We are given the slope so we can find the y intercept using slope intercept [ y = mx + b ]

y = -4x + b

3 = -4(-1) + b

3 = 4 + b

-1 = b

Now, put everything we know and solved for back into the formula.

y = -4x - 1

Best of Luck!

Jenny's Average swimming speed is 1.5 km/h.

Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.

We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.

Thus, the distance she swam is S * 1 = S km.

Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.

Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.

Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.

She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.

The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.

Therefore, we can write the equation:

S + 8S + 28S = 55.5.

Simplifying the equation, we get:

37S = 55.5.

To solve for S, we divide both sides of the equation by 37:

S = 55.5 / 37 = 1.5.

Thus, Jenny's average swimming speed is 1.5 km/h.

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Answer:

Hope its help u

Step-by-step explanation:

solve

50 x + 56 y = 690

65 x + 48 y = 711

The solution is find out by Cramer's rule as you have not mentioned any specific method,

Its in image

In mathematics, combined operations refer to the process of performing multiple mathematical operations together in a specific order.

We understand this as the combination of mathematical operations.

The order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right), determines the sequence in which these operations should be performed. This order ensures that calculations are carried out consistently and accurately.

For example, consider the expression "2 + 3 × 4." To solve this using combined operations, we follow the order of operations. First, we perform the multiplication: 3 × 4 = 12. Then, we perform the addition: 2 + 12 = 14. Thus, the result of this expression is 14.

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To obtain the least common multiple (l.c.m), we will do it by canonical decomposition or simultaneous decomposition.

This method consists of extracting the common and uncommon prime factors, then

\(\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{18 \ \ \ 24 \ \ \ 36 \ \ \ 45 }\\ \ 9 \ \ \ 12 \ \ \ 18 \ \ \ 45\\ \ 9 \ \ \ \ \ 6 \ \ \ \ \ 9 \ \ \ 45\\ \ 9 \ \ \ \ \ 3 \ \ \ \ \ 9 \ \ \ 45\\ \ 3 \ \ \ \ \ 1 \ \ \ \ \ 3 \ \ \ 15\\ \ 1 \ \ \ \ \ 1 \ \ \ \ \ 1 \ \ \ \ 5\\ \ 1 \ \ \ \ \ 1 \ \ \ \ \ 1 \ \ \ \ 1 \end{matrix}\right|\begin{matrix} 2\\ 2\\ 2\\ 3\\ 3\\ 5\\ \: \end{matrix} \end{gathered}$}\)

                           \(\sf{L.c.m.(18,24,36,45)=2\times2\times2\times3\times3\times5 }\)

                             \(\sf{L.c.m.(18,24,36,45)=2^{3} \times3^{2} \times5 }\)

                                 \(\boxed{\boxed{\sf{L.c.m.(18,24,36,45)=360 }}}\)

Therefore, the least common multiple of 18, 24, 36 and 45 is 360.

Answer:

\(\displaystyle A=\frac{20}{3}\)

Step-by-step explanation:

\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)

Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.

Answer: The answer is D, 5/6.

Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.

Answer:

5/6

Step-by-step explanation:

The reciprocal is where you flip the fraction

6/5 -> reciprocal -> 5/6

I'm not sure about your answer choices tho, sorry

Answer:

False

Step-by-step explanation:

This graph is not a function because it fails the vertical line test where you draw a vertical line through the graph and if the vertical line touches the graph more than once it fails the vertical line test which means it is not a function.

Hope this helps!