A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.


Determine the distance between the Trolley Train and the Silly Slide.

25 units
7 units
5 units
3 units

Answer:

Solve for X: -3x + 5y=13 is x=5/3y + −13/3

(Solve for y: 3/5x + 13/5)

Solve for X: x+4y=-10 is x= −4y−10

(solve for y: y= −1/4x + −5/2)

Step-by-step explanation:

Solve for X in  -3x + 5y=13:

Step 1: Add -5y to both sides.

−3x+5y+−5y=13+−5y

−3x=−5y+13

Step 2: Divide both sides by -3.

−3x/−3 = −5y + 13/−3

x = 5/3y + −13/3

Solve for Y in -3x + 5y=13:

Step 1: Add 3x to both sides.

−3x + 5y + 3x = 13 + 3x

5y = 3x + 13

Step 2: Divide both sides by 5.

5y/5 = 3x + 13/5

y = 3/5x + 13/5

Solve for X in  x+4y=-10:

Step 1: Add -4y to both sides.

x + 4y + −4y = −10 + −4y

x = −4y −10

Solve for Y in x+4y=-10:

x+4y=−10

Step 1: Add -x to both sides.

x + 4y+ −x = −10 + −x

4y=−x−10

Step 2: Divide both sides by 4.

4y/4 = −x − 10/4

y = −1/4x + −

Brian started cleaning at 3:33 PM and finished at 4:21 PM. The correct answer is 48 minutes

First, we are figuring out what is given we are counting numbers or we can add to get to 4:21 PM.

Counting numbers:

[tex]\boxed{3:33=3:34=3:35=3:36=3:37=3:38=3:39=3:40 }[/tex]

Add the numbers:

[tex]\boxed{3:33+7=3:40+10=3:50+10=4:00+21=4:21}[/tex]

If we add the numbers it would be faster.

Therefore, when we add we get are answer.

Therefore, Brian started cleaning at 3:33 PM and finished at 4:21 PM. The correct answer is 48 minutes

Answer:

48

Step-by-step explanation:

Answer:

x = -522 19/30

Step-by-step explanation:

To solve for x, distribute the 3/5. This gives us 3/5x - 21/50 = -314. Add over 21/50 to the other side, allowing for 3/5x to equal -313 29/50. Divide by 3/5 on both sides and we get x equal to -522 19/30. This is the final answer as a mixed number and is also in simplest form.

We can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.

The nurse takes the patient's cardiac output and makes a decision on how the patient will react to the medication.

What types of tasks does a nurse perform?

Registered nurses (RNs) administer and supervise patient care, educate the public about various ailments, and provide psychological support and counseling to patients' relatives. Most nurses collaborate to doctors in a variety of contexts.

How many years do such people live?

People who have access for informal health information as having a nurse or doctor in the parents 10% more likely to remain past the age of 80, according study released in a journal article by that of the Directorate of Economic Research.

Therefore, we can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.

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Step-by-step explanation:

SWT + TWU =180º therefore SWU must be a line. Aka SWU is linear. So SWT and TWU must be a linear pair.

SWT + SWT = 180º therefore 2SWT=180º deviding both sies by 2 we get SWT = 90º Therefore SWT is replacing TWU. SWT is substituted into TWU. So substitution.

SU | TV basically means the line that passes through both points S and U is perpendicular to the line that passes through both points T and V. Therefore it is the Defenition of perpendicular lines.

If this helped please rate the answer.

Answer:

on the value of the root may produce a value of the polynomial at the approximate root that is of the order of. For avoiding these problems, methods have been elaborated, which compute all roots simultaneously, to any desired accuracy. Presently the most efficient method is Aberth method.

Answer:

m∠ x is 130° and m∠ y is 130°

Step-by-step explanation:

Based on the drawn example I gave would explain why

So because ∠AGF = ∠CHF that would make these two angles Corresponding angles and corresponding angles are congruent

Thus making ∠AGH or m∠ x equals 130°

Now we look at ∠DHE and ∠AGF these two angles would be classified as Alternate interior angles which would make them congruent to each other aswell

Thus making ∠DHG or m∠ y equals 130°

Reason also includes the fact that m∠ x and m∠ y would be alternate interior angles also

Answer:

25

Step-by-step explanation:

make 1/5 and 3/10 with equivalent denominator which will give us 2/10 and 3/10 now add them and we get 5/10 5 is the half of ten so we will divide 50 over 2 and we will get 25

The order from least to greatest is −2.3, −0.2, 0.7, 2.2. The correct option is A.

When numbers are arranged in ascending order, they are done so from smallest to largest. We must first compare the numbers before we can arrange them in any order. Compare first, then order. Numbers are arranged in ascending order.

Given that the numbers are 0.7, −0.2, 2.2, and −2.3. The numbers in ascending order will be arranged as,

0.7, −0.2, 2.2, −2.3

-2.3 > -0.2 > 0.7 > 2.2

Hence, the ascending order of the given data is -2.3 > -0.2 > 0.7 > 2.2.

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Answer:

Two-thirds

Step-by-step explanation:

slope is

∆y/∆x = (y2-y1) divided by (x2-x1)

= (-8-(-6)) divided by (-6-(-3))

= -2 divided by -3

= 2/3

The probability that less than three of the chosen consumers think that currency won't be used in 20 years is 0.293.

According to the statement, 40% of consumers think cash will be unnecessary in 20 years. Let us assume that eight consumers are chosen at random.

We need to determine the likelihood that fewer than three of the chosen consumers think currency will be obsolete in 20 years.

We will use the properties of probability distribution in the given scenario.

We know that for randomly selected variable the properties of combination are used.

P(X=1) + P(X=2) = C¹₈ × 40 × 60⁷ + C²₈ × 40² × 60⁶

P(X=1) + P(X=2) = 0.293

Therefore, there is a 0.293 percent chance that fewer than 3 of the chosen customers think that cash will be obsolete in 20 years.

The ratio of likely outcomes to all scenarios that are feasible, to all possible outcomes is called probability.

Normal distributions are crucial to statistics because they are commonly used in the natural and social sciences to describe real-valued random variables with uncertain distributions. They are important in part because of the central limit theorem.

This claim asserts that under certain conditions, the average of many samples (observations) of a random variable without finite mean and variance is itself a random variable, whose distribution converging to either a normal distribution as the number of samples increases.

Disclaimer: The complete question is :

40% of consumers believe that cash will be obsolete in the next 20 years. Assume that only 8 consumers are randomly selected. Find the probability that less than 3 of the selected consumers believe that cash will be obsolete in the next 20 years .

(Round to three decimal places as needed.)

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A. The relationship between the number of pounds of grapes sold (x) and the total price (y) can be described by the equation y = 2.25x.

The required details for pounds in given paragraph

This equation can be derived from the data in the table by substituting the values for x and y and solving for the coefficient 2.25. For example, for x = 2 pounds of grapes, we have y = $4.50, so 4.50 = 2.25 * 2. Similarly, for x = 4 pounds of grapes, we have y = $9.00, so 9.00 = 2.25 * 4. We can use this equation to find the total price for any number of pounds of grapes sold.

B. The total price of 17 pounds of red peppers is $31.60. The 1.80 in the equation p = 1.80r represents the price per pound of red peppers. In this case, 1.80 dollars is the price per pound of red peppers, and r is the number of pounds of red peppers that are being purchased. Therefore, the total price of r pounds of red peppers is equal to 1.80 dollars per pound multiplied by the number of pounds of red peppers being purchased.

C. The graphs representing the equations for the original and increased price per pound of grapes will share one point because the two equations will be tangent to each other at that point.

what is pound?

A pound is a unit of weight that is commonly used in the United States and some other parts of the world. It is defined as the weight of a standard reference object, called the international pound, which is kept at the International Bureau of Weights and Measures in France.

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The angle that the line 3y = 2x + 6 makes with the [x] axis is (θ) = 33°69'.

Given is the equation -

3y = 2x + 6

The given equation is -

3y = 2x + 6

y = (2/3)x + (6/3)

y = (2/3)x + 2

Slope of the line -

m = 2/3.

We know slope is also given by -

m = tan(θ)

So -

tan(θ) = 2/3

(θ) = tan⁻¹(2/3)

(θ) = 33°69'

Therefore, the angle that the line makes with the [x] axis is (θ) = 33°69'.

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Solve the inequality. v - (-5) < -9 the solution for the inequality is

Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

The given algebraic expression is v - (-5) < -9

This is solved as follows

v - (-5) < -9

v + 5 < -9

v < -9 - 5

v < -14

The value of v is -14

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The given statement "a teacher awards t-shirts to those students who complete their goal of walking 50 miles during a semester " is the example for tangible reinforcers.

Tangibles serve as a visual reminder for employees to keep an eye out for desired behaviours and then provide specific positive feedback. . This aided you in completing your assignment quickly and correctly. "You have earned a Tiger Ticket because you followed directions," can improve the student-teacher relationship. You can give the student positive specific feedback without using a tangible (ticket, token, etc.), but a tangible must always be accompanied by positive specific feedback.

Hence, the given statement is an example of tangible reinforcers

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Answer:x-25=y

Step-by-step explanation:

u just subtract and put it into equation form

Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure, the value of k is 9.

Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure. They are formed when two lines intersect, and they are always congruent, or equal in measure.

That if one angle measures 130°, the measure of its vertical angle must also be 130°.

If the other angle has a measure of (8k + 58)°, and it is a vertical angle to the angle that measures 130°, then it must also have a measure of 130°.

We can set up the equation 130 = 8k + 58 and solve for k to find the value of k.

Subtracting 58 from both sides gives us 72 = 8k. Dividing both sides by 8 gives us k = 9.

Therefore, the value of k is 9.

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Given that the second student chosen is a girl, the probability that both students are female is 0.175.

The occurrence of likely events is referred to as probability. It is the branch of mathematics concerned with numerical estimates of the likelihood of an event occurring or a statement being true.

Probability is nothing but likelihood of something is to occur. When we are unsure about the outcome of an event, we can discuss the probabilities of certain outcomes—how likely they are.

The probability of selecting a girl from the class is

[tex]= \frac{Number\ of\ girls}{ Total\ number\ of\ students}= \frac{14}{26}\\\\= \frac{7}{13}[/tex]

It is known that the one of the chosen student from 2 students is girl, the probability of having both girls will be:

[tex]= \frac{7}{16} * \frac{6}{15}\\\\= 0.175[/tex]

Hence, the probability is 0.175.

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Your question is incomplete, here is the complete question.

Your statistics class has 26 students in it - 14 girls and 12 boys.Your teacher uses a calculator to select two students at random to solve a problem on the board. Given that the second student chosen is a girl, what is the probability that the first student was also a girl?

Step-by-step explanation:

A school dance club is selling bottled water at a football game to raise funds. The club has raised $26 so far and has the goal of raising $100. If each bottle of water earns the club an additional $2, which equation can be used to find the number of bottles of water w that the club needs to sell to reach their goal?

equation:

100 = 2w - 26

solving:

100 = 2w - 26

74 = 2w

w = 37 more bottles

For the question "A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity..." None of the options are correct

The statement "The annual cost of the washer-dryer set will never exceed $100 during the life of the set" is false because the function C(n) is defined as C(n) = (1250 + 100(n))/n,

A washer-dryer set has an average lifetime of 10ten years

But given the function

C(n) = (1250 + 100(n))/n,

even after 5000 years, the washer-dryer set will still be above $100 as shown below

[tex]C(5000)=\frac{1250+100\left(500000\right)}{500000}[/tex]

C(5000)=100.0025

b) For the given function C(n) = (1250 + 100n) / n, the highest power of x is 1 in both the numerator and denominator. The leading coefficient of the numerator is 100 and the leading coefficient of the denominator is 1, so the horizontal asymptote is the line y = 100.

To find the vertical asymptotes of a rational function, we need to look for values of x that make the denominator equal to 0, but the numerator not equal to 0. These values of x will be the vertical asymptotes of the graph.

For the given function C(n) = (1250 + 100n) / n, the denominator is n, so the vertical asymptotes are x = 0.

Therefore, the asymptotes of the graph of C(n) = (1250 + 100n) / n are the horizontal asymptote y = 100 and the vertical asymptote x = 0.

The statement "The asymptotes of the function are at x = –12.5 and y = 100" is false because a function does not have asymptotes if it is defined for all values of x. In this case, the function C(n) is defined for all positive values of n, so it does not have asymptotes.

c)  The statement "The annual cost after 10 years is $225 assuming only purchase and electricity expenses" is false because the annual cost after 10 years is given by

C(10) = (1250 + 100*10)/10

C(10)=225

But

= 225 + 100 (10)

=225000

Therefore, the annual cost after 10 years is $225000, not $225.

Hence given this none of the Options are correct

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CQ

A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity.

The function C(n) =1250+100n/n represents the annual cost of operating the washer-dryer set (besides the $100 for electricity) as a function of n years of owning the set.

Which of the following statement(s) about the function is true?

I. The annual cost of the washer-dryer set will never exceed $100 during the life of the set.

II. The asymptotes of the function are at x = –12.5 and y = 100.

III. The annual cost after 10 years is $225 assuming only purchase and electricity expenses.

F I only

G I and II only

H I and III only

J I, II, and III

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

By enabling appropriate access to and secure electronic sharing of a patient's critical medical information, the electronic health information exchange (HIE) helps to increase the efficiency, effectiveness, safety, and affordability of patient care.

The "blueprint" of a database, or how the data may link to other tables or other data models, is known as a database schema. The schema does not, however, actually hold any information. A database instance is a sample of data from a database at a specific point in time.

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

Microsoft uses a document format called DOC. A document called a DOC file includes formatted text, graphics, tables, graphs, and charts, among other things.

Data that can be entered in free text style is referred to as unstructured data. Structured data is a type of data that includes check boxes, graphics, tables, and other options that the user can select from.

Since the DOC system uses free text, the EHR's data is structured.

Therefore,

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

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It is to be noted that the length of the interior diagonal of the box whose dimensions are Height 100cm, Lenght, 80 cm, and width 60 cm, is 140.4cm.

Recall that the formula for the diagonal length of a right rectangular prism is calculated as √(l² + w² + h²) units. So, the formula for the length of a right rectangular prism's diagonal is √(l²+w²+h²), where l is the length, b is the breadth, and h is the height.

Plugging in the values we have:

d² = 60² + 80² + 100²

Solving for d, we get:

d = √(660² + 80² + 100²)

= √(3600 + 6400 + 10000)

= √(20000)

= 140.4 cm

Thus, the length of the interior diagonal of the box is 140.4 cm.

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Answer:

Step-by-step explanation:

The answer is (3,0)

You need to plug in the values of x and y to figure it out, because a coordinate is in the form (x,y) so in (3,0) 3 is the x value and 0 is the y value.

If you plug (3,0) into the first inequality y > -2x+3 you get 0 > -3 which is true

steps

-2(3) +3 = -3

And if you plug (3,0) into the second inequality y < x-2 you get 0 <  1 which is also true

So basically just plug in the values of x and y into the inequality and test if it works on one of the inequalities you've been given if it doesn't try the next order pair, if it does try it on the other inequality and check if it works on it to.

Using the Poisson distribution, the probability of an earthquake in the 0.8-0.9 magnitude range sometime in the next 30 years is

1 - 1.9287 x 10⁻²².

It is given that mean recurrence of an earthquake is the 8.0-9.0 magnitude is approximately 1500 years.

We have to find the probability of an earthquake in this magnitude range sometime in the next 30 years.

Since, an occurrence of an earthquake is a rare event, we can use Poisson distribution here.

Poisson distribution gives the probability of occurrence of any event in a given time interval.

Let the average number of event per year in 30 years of period is λ.

[tex]\lambda = \frac{1500}{30}[/tex]

λ = 50

Let, the occurrence of an earthquake is a random variable x.

Then the probability that at least an earthquake occur in next 30 years is calculated as:

P(x ≥ 1) = 1 - P(x<1)

P(x ≥ 1) = 1- P(x=0)   -----(1)

PDF of Poisson distribution with parameter λ is given as:

[tex]P(X = x) = \dfrac{e^{-\lambda}{\lambda}^x}{x!}[/tex]

So, in this case

[tex]P(x=0)= \dfrac{e^{-50}{(50)}^0}{0!}[/tex]

[tex]P(x=0)= \dfrac{1.9287 \times 10^{-22}}{1}[/tex]

[tex]P(x=0)={1.9287 \times 10^{-22}[/tex]

Substitute this value in equation (1)

P(x ≥ 1) = 1 - 1.9287 x 10⁻²²

Hence, the probability of an earthquake in next 30 years is

1 - 1.9287 x 10⁻²².

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Answer:

b. [tex]y = -0.03x + 18.4[/tex]

explanation:

is just some logic. we see the second unit on the x-axis is 4, so let's try that. -0.03 * 4 = -0.12. -0.12 + 18.4 = 18.28. 18.28 lines up with the 18.3 measurement we see. the next closest option brings us to 17.8, so we'll go with b.

The given probability is based on conditions of two events, hence it is called as conditional probability and it's formula according to the events is option.a  [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex]

Bayes' rule is a mathematical theorem that allows you to modify probability statements in response to new information. With this rule, you can reverse the conditional probability statement and find the probability of the first event occurring given the probability of the second event occurring by using the probability of the second event occurring given the probability of the first event occurring.The first event in this case is that the bolt is defective (event C). The second occurrence is that it was selected from the first machine (event A). As a result, given that the bolt is from the first machine, we can state the conditional probability that it is defective.

Hence, the formula is  [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex].

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Your question is incomplete , here is the complete question

In a factory that manufactures bolts, the first machine manufactures 70% of the bolts and a second machine manufactures the remaining 20%. The percentage of defective bolts is 3% and 5%, respectively.An employee picks a bolt off a shelf at random and it is from the first machine (event A).If you want to know the probability that it is a defective bolt (event C), which formula would you use?

[tex]a.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}\\\\b.\ p(\frac{A}{C})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\c.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\d.\ p(\frac{A}{C})=\frac{p(\frac{C}{A}).p(A)}{p(C)}[/tex]

The first option is true since the item achieved its maximum height of 73.5 feet.

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem. The answer could be simple or complicated.

This quadratic equation, which has the form y=a(x-h)2 + k, is referred to as being in vertex form. It is so named because the vertex point (peak point) lies on the graph of this equation (h,k)

We may deduce from the facts above that

-4.9 t2 + 19.6 t + 58.8 = 0

The equation will logically fit into the square upon completion.

y = a(x-h)^2 + k

where h will be the time it takes to get to a height of k.

-[tex]4.9t^{2}[/tex] + 19.6t + 58.8 = 0

-[tex]4.9t^{2}[/tex] + 19.6t = - 58.8

-4.9( [tex]t^{2}[/tex] - 4t ) = -58.8

Now take half the linear term, square it, and add it to both sides.

-4.9( [tex]t^{2}[/tex] - 4t ) = -58.8

-4.9( [tex]t^{2}[/tex] - 4t + 4 ) = -58.8 + 19.6

-4.9 [tex](t-2)^{2}[/tex] = - 78.8

s(t) = -4.9 [tex](t-2)^{2}[/tex] + 78.8

now we have t = 3sec

s(t) = 73.5ft

The object reached its maximum height of 73.5 ft, the first choice is correct.

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Answer:

4.) a.) 2.01 b.) 404.01

6.) a.) 152.17 b.) 18412.17 c.) 153.14 d.) 18565.60

Step-by-step explanation:

To solve, use the exponential growth formula [tex]A_t=A_0(1+\frac{r}{p})^t[/tex] where

[tex]A_t[/tex] = Amount as a function of time

[tex]A_0[/tex] = Original amount

[tex]r[/tex] = rate

[tex]p[/tex] = period

[tex]t[/tex] = time

For question 4, let

[tex]A_0=400\\r=0.06\\p=12\\t=2[/tex]

So,

[tex]A_t=400(1+\frac{0.06}{12})^2\\A_t=400(\frac{201}{200})^2\\A_t=400(1.01)\\A_t=404.01[/tex]

So, the second-period interest would be 404.01-402=2.01

Question 6 can be solved using the same formula, but let

[tex]A_0=18260\\r=0.025\\p=\frac{12}{4}=3\\t_1=1\\t_2=2[/tex]

So,

[tex]A_t=18260(1+\frac{0.025}{3})^1\\A_t=18260(\frac{121}{120})^1\\A_t=18412.17[/tex]

The first-period interest would be 18412.17-18260=152.17

For the second-period, use [tex]t_2[/tex]:

[tex]A_t=18260(1+\frac{0.025}{3})^2\\A_t=18260(\frac{121}{120})^2\\A_t=18260(1.02)\\A_t=18565.60[/tex]

The second-period interest would be 18565.60-18412.17=153.43