What is the axis of symmetry? What are the coordinates of the vertex?
y=-x² +8x+12

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.

To learn more about probability refer here

https://brainly.com/question/11234923

#SPJ4

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?

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 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.

To know more about ascending order follow

https://brainly.com/question/12783355

#SPJ1

The largest factor of the sum of y and z is 24.

The replacement approach has the advantage of providing the precise values for the variables (x and y), which correspond to the site of intersection.

When using the "by substitution" method, you must first solve one of the equations provided (you must choose which one) for one of the variables (you must choose which one), after which you must plug this value back into the other equation provided (you must "substitute" for the chosen variable and solve for the other value). The first equation is then used to back-solve for the first variable. The many procedures required in using the replacement approach to solve problems have been described in full above. Use those to discover the solution to a given system of linear equations.

We are given with three equations having three unknowns:

x = z/4

x + y + z = 26

y = 2z

Using the method of substitution, we can now solve for each of the three unknowns.

Since the first equation, x = z/4, is an equation for x in terms of z, and the third equation, y = 2z, is an equation for y in terms of z, we can replace x and y in the second equation by their equivalent expressions as follows:

x + y + z = (z/4) + (2z) + z = 26

We are left with an equation with just one unknown z. We can now solve for z:

(z/4) + (2z) + z = 26

z/4 + 8z/4 + 4z/4 = 13z/4 = 26

z/4 = 2

z = 8

Now that we know z, we can easily solve for y, then compute y + z (note: we can also solve for x, but since we are not interested in the value of x there is no need to do so):

y = 2z = 2(8) = 16

y + z = 16 + 8 = 24

Since the largest factor of any number is the number itself, the largest factor of the sum of y and z is 24.

To learn more about substitution method visit the link:

https://brainly.com/question/25869125

#SPJ4

The solution to this pair of equations is the point (2, -1).

To learn more about linear equations graphically refer to:
https://brainly.com/question/14323743

#SPJ1

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.

To know more about Nurse visit: brainly.com/question/28548078

#SPJ4

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:

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 approximate value of [tex]log_4128[/tex] is 3.5.

What is logarithm?

The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to produce a number x is therefore the logarithm of a number x to the base b. For instance, since 1000 = 10^3, log10 of 1000 is 3, or log10 = 3.

Given: log 128≈ 2.1  and  log 4≈ 0.6

We have to find the approximate value of [tex]log_4128[/tex].

We know that,

[tex]log_ba = \frac{loga}{logb}[/tex]

Here,

[tex]log_4128 = \frac{log128}{log4}[/tex]

Plug the values of log 128 and log 4

⇒ [tex]log_4128 = \frac{log128}{log4} = \frac{2.1}{0.6} = 3.5[/tex]

Hence, the approximate value of [tex]log_4128[/tex] is 3.5.

To know more about logarithm, click on the link

https://brainly.com/question/25710806

#SPJ1

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

Read more about annual expenditure

https://brainly.com/question/4611544

#SPJ1

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.

To learn more about Electronic system visit :

brainly.com/question/13245035

#SPJ4

Answer:

x = 0.47

Step-by-step explanation:

[tex] {7}^{(1 - x)} = {2}^{(1 + x)} \\ apply \: log \: of \: base \: 7 \: to \: both \: sides \\ log_{7}(7)^{(1 - x)} = log_{7}(2)^{(1 + x)} \\ (1 - x) log_{7}(7) = (1 + x) log_{7}(2) \\ 1 - x = 0.36(1 + x) \\ 1 - x = 0.36 + 0.36x \\ 0.36x + x = 1 - 0.36 \\ 1.36x = 0.64 \\ x = \frac{0.64}{1.36} \\ x = 0.47[/tex]

Answer:

Equation of line A: y = 4

Equation of line B: x = 8

Step-by-step explanation:

I am not sure how to explain this but those are your answer.

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

Learn more on inequality at:

https://brainly.com/question/24372553

#SPJ1

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.

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.)

To learn more about probability visit:

https://brainly.com/question/14210034

#SPJ4

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 + −

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.

To learn more about pounds click here

https://brainly.com/question/28764202

#SPJ1

By rounding to 1 significant figure, estimate answer is 40

What is significant figures?

Significant figures of a number in positional notation area unit digits within the number that area unit reliable and necessary to point the number of one thing.

Main  body:

1) 40.73 to 1 significant figure = 40.

2) 1.06 to 1 significant figure = 1.

3) Therefore, we just multiply 40 by 1, which equals 40.

FURTHER EXPLANATION (IF NEEDED):

With significant figures, whole numbers such as 10, 20, 50 etc. have 1 significant figure. This is because the 0 does not count as a significant figure.

With decimals, all numbers after the decimal point are also included as significant figures (even 0). E.g. 40.73 has 4 significant figures and 1.06 has 3 significant figures.

EXAMPLES (IF NEEDED):

Rounding to 2 significant figures:

40.73 = 42

1.06 = 1.1

Rounding to 3 significant figures:

40.73 = 40.7

1.06 = 1.06 (because it's already in 3 significant figures)

Rounding to 4 significant figures:

40.73 = 40.73 (already in 4 significant figures)

1.06 = 1.060 (0 is counted as a significant figure if there is a decimal or another number comes after that 0)

E.g. 1006 has 4 sig figs, while 1060 would have 3 sig figs because the last 0 is not counted as a significant figure. 10.60 would have 4 sig figs because of the decimal.

Hence , By rounding to 1 significant figure, estimate answer is 40.

to know more about significant figures , visit:

https://brainly.com/question/30169

#SPJ1

All symmetry, reflexivity, and transitivity are required for an equivalence relationship.

In mathematics, equivalence refers to the quality of elements of a group or in a set that share common features.

To have an equivlance relationship, three requirement are needed:

Learn more about symmetry in: https://brainly.com/question/1597409

#SPJ1

Answer:x-25=y

Step-by-step explanation:

u just subtract and put it into equation form

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].

To learn more about bayes rule refer here

https://brainly.com/question/27979497

#SPJ4

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]

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.

To learn more about Vertical angles refer :

https://brainly.com/question/12162963

#SPJ1

The equation of g(x) after the transformation is given as follows:

g(x) = 192x^5 - 36x² + 12.

The equation for function g(x) is obtained applying the rules for each transformation to the parent function f(x).

The parent function f(x) in this problem is defined as follows:

f(x) = 2x^5 - 3x² + 4.

The first transformation is an horizontal shrink by a factor of 1/2, hence the rule for this transformation is described as follows:

g(x) = f(2x).

Thus:

g(x) = 2(2x)^5 - 3(2x)² + 4

g(x) = 64x^5 - 12x² + 4.

The vertical stretch by a factor of 3 means that all these coefficients are multiplied by 3, that is:

g(x) = 3(64x^5 - 12x² + 4).

Applying the distributive property, we have that:

g(x) = 192x^5 - 36x² + 12.

More can be learned about transformations to functions at https://brainly.com/question/29661677

#SPJ1

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

To learn more reinforcers refer here

https://brainly.com/question/28587113

#SPJ4

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.

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

Answer:

just use the number line

-3<x<4

and

x<3