3 of the 4 points below lie in a straight line.
Which point does NOT?
O (-2,-3)
(2,1)
O(-4,-2) O (0,0)

Answers

Answer 1

Answer:

O(-4,-2) is the answer

Step-by-step explanation:

because it lies between a horizontal line


Related Questions

f(x) = (two-fifths) Superscript x

g(x) = (two-fifths) Superscript x – 3

Which statement about f(x) and its translation, g(x), is true?

The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}.
The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}.
The asymptote of g(x) is the asymptote of f(x) shifted three units down.
The asymptote of g(x) is the asymptote of f(x) shifted three units up.

Answers

Answer: The asymptote of g(x) is the asymptote of f(x) shifted three units down.

Step-by-step explanation:

Answer:

The asymptote of g(x) is the asymptote of f(x) shifted three units down.

Step-by-step explanation:

bc I said so

What are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 2x + 5?

(–4, –3) and (–2, 1)

(–4, –3) and (2, 1)

(–4, 5) and (2, 1)

(–4, 5) and (–2, 1)

Answers

Answer:

(–4, 5) and (–2, 1)

Step-by-step explanation:

Answer: A: (-4,-3) (-2,1)

Step-by-step explanation:

I got this correct on the test. Using the substitution method give brainliest

It takes you two and a half hours to drive 175 miles. how fast were you driving? (mph)

Answers

If one travels 175 miles in 2hour 30 mins then his speed is 70 mph .

Calculation of the speed

Distance travels= 175 miles

time is taken to cover 175 miles = 2.5 hours

We have to find out the speed in mph.

We know that,

Distance = speed x time

⇒speed = distance / time

Putting the value of distance and time, we get:

speed = 175 / 2.5 = 70 mph

Hence the final answer is 70 mph.

Learn more about the speed-related problems here:

https://brainly.com/question/22610586

#SPJ4

need answered asapp!!

Answers

Answer:b

Step-by-step explanation:goooooooo

the correct answer is B because the charts title and label are different

In London, the charge of a tour bus consists of a fixed rental price plus a per kilometre rate, that depends on the distance of the trip.
The per kilometre rate is $12/km. You decide to go on a 5 km trip, and it costs you $70.
a) What is the fixed rental cost? Show your work.
b) Determine the equation relating the cost, C, in dollars, and the distance, d, in km.
d) What is the cost of an 18 km trip?
e) What is the distance travelled if the total cost is $250?

PLEASEEEEEEEE

Answers

Using a linear function, we have that:

a) The fixed cost is of $10.

b) The equation is: C = 10 + 12d.

c) The cost of an 18 km trip is $226.

d) The distance traveled is of 20 km.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:

C(d) = 12d + b

70 = 60 + b

b = 10.

Hence the equation is:

C(d) = 12d + 10.

For a trip of 18 km, d = 18, hence the cost is:

C(12) = 12 x 18 + 10 = $226.

When the cost is of $250, the distance is found as follows:

250 = 12d + 10

12d = 240

d = 240/12

d = 20 km.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Quick algebra 1 assignment for 50 points!
Experts and Geniuses please help asap, TYSM!


Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.


Hope that helps solve this! :)

Answers

By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.

How to use inverse variation to represent a situation

Herein we should present a statement that represents a real life situation and solve that statement. Here is an example:

In accordance with the Coulomb's law, electric force is inversely proportional to the square of the distance between the two electrically charged particles. If you know that electric force is 20 N when the two particles are 10 cm apart, what is the electric force if the distance is doubled.

Based on the statement, we have the following relationship:

F ∝ 1/r²

Where:

F - Electric charge, in newtonsr - Distance between the two electrically charged particles, in centimeters.

From such relation, we can determine the resulting force by the following equation:

F/20 = 10²/20²

F = 20 × 10²/20²

F = 5 N

By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.

To learn more on inverse relations: https://brainly.com/question/4147411

#SPJ1

what is 12(w-3) if w= 10

Answers

The answer is 84. Here’s what I did to find the answer: substitute w for 10 12(10-3). Multiply 12•10=120 and 12•3=36. Which leaves with the equation 120-36=84.

Hey there!


12(w - 3)

= 12(10 - 3)

= 12(10) + 12(-3)

= 120 - 36

= 84


OR

12(w - 3)

= 12(10 - 3)

= 12(7)

= 84


Therefore, your answer should be:

84


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

What is the slope of the line through (-1,8)(−1,8)left parenthesis, minus, 1, comma, 8, right parenthesis and (3,-4)(3,−4)left parenthesis, 3, comma, minus, 4, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction (Choice B) B 333 (Choice C) C -\dfrac13− 3 1 ​ minus, start fraction, 1, divided by, 3, end fraction (Choice D) D -3−3

Answers

The slope of the line through the points is -3

How to determine the slope?

The points are given as:

(-1, 8) and (3, -4)

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

So, we have:

m = (-4 - 8)/(3 + 1)

Evaluate the expression

m = -3

Hence, the slope of the line through the points is -3

Read more about slope at:

https://brainly.com/question/3493733

#SPJ1

The slope of the line that passes through (-1, 8) and (3, -4) is: -3.

How to Find the Slope of a Line?

Slope of a line (m) = change in y / change in x.

Given the points, (-1, 8) and (3, -4):

Slope (m) = (-4 - 8)/(3 - (-1))

Slope (m) = (-12)/(4)

Slope (m) = -3

Thus, the slope that passes through the given points is: -3.

Learn more about the slope on:

https://brainly.com/question/13861479

#SPJ1

Josie has 16 coins. Each of her coins is either a quarter or a dime. If she has 6 more dimes than quarters, and the total value is $2.35, how many quarters does Josie have?

Answers

Josie has a total of 5 quarters.

How to find the number of quarters using equation?

Josie has 16 coins. Each of her coins is either a quarter or a dime.

Let

x = number of quarters

y = number of dime

she has 6 more dimes than quarters.

Therefore,

y = 6 + x

x + y = 16

-x + y = 6

2y = 22

y = 11

11 = 6 + x

x = 11 - 6

x = 5

learn more on equation here: https://brainly.com/question/26404595

#SPJ1

If BE−→− bisects ∠ABD and m∠ABD = 66°, find m∠ABE.

Answers

Answer:

∠ABE = 33°

Step-by-step explanation:

Angle bisector:

        Angle bisector is a straight line that divides the angle into two congruent (equal) angles.

So, BE bisects the ∠ABD into two equal angles.

⇒∠ABE will be half of ∠ABD

∠ABD = ∠ABE + ∠BED

66°     = ∠ABE + ∠ABE

66      = 2∠ABE

∠ABE = 66/2

∠ABE = 33°

Solve for x using
cross multiplication.
3x + 6
4
=
4x - 3
5
x = [?]
Enter

Answers

Answer:

x = 42

Step-by-step explanation:

Cross multiplying is done as follows:

the denominator of the second fraction is multiplied with the numerator of the first equation and denominator of the first fraction is multiplied with the numerator of the second equation

5(3x+6) = 4(4x-3) multiply inside the parenthesis

15x + 30 = 16x - 12 transfer like terms to same side of the equation

30 + 12 = 16x - 15x

42 = x

Juan bought a sweater for $15.95 and two shirts for $9.00 each. how much did juan spend on clothes?

Answers

Answer:

Step-by-step explanation:

Well first you have:

$15.95 for one sweater
$9.00 each for two shirts

You would double the amount $9.00 which would be:

9 + 9 = 18 or Multiply 9 x 2 = 18

So this would total to 15 + 18 = $33

15-point question. Pls help

Answers

Answer:

3/8

Step-by-step explanation:

There are 8 equal slices so each slice is 1/8th of the whole pizza

1/8+1/8=2/8 he ate right away

2/8+1/8 for what he ate before going to sleep

2/8+1/8=3/8

matthew ate 3/8 of the pizza

Please help


!!!!!!!!!!!!!!

Answers

Answer: Option (2)

Step-by-step explanation:

[tex]DE=\sqrt{(-a-b-0)^2 + (c-2c)^2}=\sqrt{(a+b)^2 + c^2}[/tex]

Given: AD is parallel to BC
Prove: DC = 6 units
Which step is missing?

Answers

answer is C - △DAC ≅ △BCA by ASA

To prove DC = 6 units the missing step is ΔDAC ≅ ΔBCA by ASA.

Option C is the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

AD is parallel to BC

From the figure and the given information,

We have,

∠DAC ≅ ∠BCA

 AC ≅ AC∠DCA ≅∠BAC

This means,

Angle-Side-Angle (ASA) Congruence

ΔDAC ≅ ΔBCA

Thus,

To prove DC = 6 units the missing step is ΔDAC ≅ ΔBCA by ASA.

Learn more about triangle congruency here:

https://brainly.com/question/12413243

#SPJ2

The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of $30.44 and a standard deviation of $14.99. What is the purchase value at the 20th percentile

Answers

The purchase value at the 20th percentile is $17.85 for the distribution with a mean of $30.44 and a standard deviation of $14.99.

How to calculate Z-score to raw score X?

The formula for the X is

X = μ + Z × σ

where,

Z- score, μ is the mean, and σ is the standard deviation

Calculation:

It is given that,

μ = $30.44

σ = $14.99

x% is given as the 20th percentile

So, α = 0.20

then, the Z score from the normal distribution table is -0.84

On substituting,

X = μ + Z × σ

  = 30.44 + (-0.84 × 14.99)

  = 30.44 - 12.59

  = 17.85

Therefore, the purchase value at the 20th  percentile is $17.88.

Learn more about normal distribution here:

https://brainly.com/question/14777840

#SPJ4

Which equation describes this graph?

A. y=−2x
B. y=−2x−3
C. y=−2x+3
D. y=−3x−3

Answers

Answer:

D

Step-by-step explanation:

if you look the point on the y axis is -3 which is your starting point

in y=mx+b m is the slope

Alice and Bob both go to a party which starts at $5:00$. Each of them arrives at a random time between $5:00$ and $6:00$. What is the probability that the number of minutes Alice is late for the party plus the number of minutes Bob is late for the party is less than $45$

Answers

The probability comes out to be 9/32.

Deducing Arrival Time Possibility

All the possible arrival times by Alice and Bob, in minutes after 5 PM, is constrained by the values of given values of x and y,

x = 0, y = 0, x = 60, y = 60.

Here, let the values of x represent how many minutes after 5 PM Alice arrives at the party.

Let the y values represent the time in minutes that Bob arrives at the party after 5 PM.

Calculating the Required Probability

The times that concern us, however, are obtained by the following probability function,

x + y ≤ 45.

And x = 0, y = 0, and x + y ≤ 45 define the constraints of this probability function. Thus the perimeter of such a graph will be given as,

(45² / 2) = 1012.5 square units

Since the total area of the various arrival times is 60 x 60, or 3600 square units, the probability that Alice and Bob will arrive together after 5 o'clock in the evening in less than 45 minutes is therefore = 1012.5 / 3600 = 9/32

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

The 40-hour work week did not become a U.S. standard until 1940. Today, many white-collar employees work more than 40 hours per week because management demands longer hours or offers large monetary incentives. A random sample of 26 white-collar employees worked on average 42.08 hours per week. Is there any evidence that the true mean number of hours worked per week by white-collar employees is greater than 40? Assume that the population standard deviation is 3.39 hours. Please use the exact value (from R) for all critical values. c) Is there any evidence to suggest the true mean number of hours worked per week by white-collar workers is greater than 40? Perform the hypothesis test at a 0.5% significance level. (0.5 pts.) Calculate the test statistic. 3.13 You are correct. Your receipt no. is 152-5185 Previous Tries (0.5 pts.) Calculate the p-value. Please write your answer in scientific notation using an E for the exponent and including at least 3 decimal places. For example, 1.234 x 10-5 would be written as 1.234E-5. 8.782x10-4 (0.5 pts.) d) Calculate the appropriate 99.5% bound that is consistent with what you did in parts b) and c).

Answers

The necessary assumptions are to get the sample for random sampling and ensure they are normal.

a. The required assumptions to form hypothesis are:Sample has to be drawn from random sampling.Sample has to be approximately normalThe samples have to be independent

b. The standard deviation is known hence we have to make use of the z distribution.

c. test statistic

42.08 - 40 / (3.39 /√26)

= 2.08 / 0.6648

= 3.129

≈3.13

p value

p(Z > 3.13)

= 0.0008770

8.7e-4

d. Z critical value = 2.81

42.08 +- 2.81 * 3.39/√26

= 42.08 +- 2.81*0.6648

=  42.08 - 1.868, 42.08 + 1.868

= 40.212  ,43.948

Read more on statistics here:

https://brainly.com/question/19243813

#SPJ1

Help me in this question please dont put wrong answers!

Answers

Step-by-step explanation:

Has greater balance = Heba

Has more debt = Nour

Read the "note" thing on there

it says banks use Negative balances meaning the negative sign ( minus sign) to represent an account with debt which means an account that is owning money e.g -$11, -$15 etc.

And they use positive balances meaning the positive sign to represent account that contains valuee.g $2, $7 etc( You might wonder why I didn't put a positive sign on it, the reason is because it's already a positive number so no need to add a positive sign (+) to it)

( BUT they can still add a positive sign to it but it isn't necessary )

If you see any number or amount without a negative sign (-) then that number or amount is positive e.g 1, 2,3,4,5,6,11,14,17,20,100,8, $3, $15, $23 and so on..

Hope this helps.Good luck ✅.

Using the number line:

Heba has the greater account balance

Nour has the most debt.

What is a Number Line?

A number line shows where a number lies according to the order. Values greater than 0 and are on the right side are greater than values and vice versa.

Given their balances, $29.17 is greater than -$11.99. Therefore, Heba has the greater account balance using the number line.

Since - indicates debt, Nour has the most debt.

Learn more about number line on:

https://brainly.com/question/24644930

#SPJ1

A variable that can only take on specific numeric values is called a _____. Group of answer choices categorical variable discrete random variable continuous random variable categorical variable

Answers

A variable that can only take on specific numeric values is called  A discrete random variable.

According to the statement

A variable which is used to select a specific numeric value and we have to find a those variable

A discrete random variable is one which may take on only a countable number of distinct values.

So, A variable that can only take on specific numeric values is called  A discrete random variable.

Learn more about VARIABLES here https://brainly.com/question/5030068

#SPJ4

3x-6=15 what is the value of x?

Answers

Answer:

7

Step-by-step explanation:

frist simplfying

3x-6=15

addind six to both side

3x-6+6=15+6

3x=21 dividing by 3

x=7


The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How many seats are in the theater?

Answers

Answer:

Step-by-step explanation:

Given : 10 seat in first row, and the seat will increase 1 by 1 as we go above.... (as we go to the next row) - total rows - 38

Solve ; 38 rows, 10 seat in first row, 1 seat increases each row....

Extra seats - 37,

So,

37 x 10 = 370

TOTAL SEATS = 370

Answer:

  1083 seats

Step-by-step explanation:

The number of seats is an arithmetic series with first term 10 and common difference 1. We want to find the sum of 38 terms of the series.

Setup

The sum of n terms of an arithmetic series with first term a1 and common difference d is given by the formula ...

  Sn = (2a1 +d(n -1))(n/2)

The sum of the series of interest is ...

  S38 = (2(10) +1(38 -1))(38/2)

Total seats

The total number of seats in the theater can be found by evaluating the expression for S38:

  S38 = (20 +37)(19) = 57×19 = 1083

There are 1083 seats in the theater.

I really need help :(((

Answers

Answer:

B solving by factoringA the quadratic formula

Step-by-step explanation:

1.

The "zero product principle" or "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. This fact is used to solve quadratic equations by factoring.

Factoring the equation y = ax² +bx +c to the form y = a(x -r)(x -s) allows you to immediately identify the solutions of y=0 as x=r and x=s. These are the values of x that make the factors zero, hence making the product zero.

Finding the values of x that satisfy ax² +bx +c = 0 by rearranging it to the form a(x -r)(x -s) = 0 is called "solving by factoring."

2.

When the process of "completing the square" is applied to the standard-form quadratic y = ax² +bx +c, the result is a formula for the two solutions to y = 0:

  [tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

This quadratic formula tells you the solutions based on the coefficients of the original equation, so does not require rearranging the equation in any way.

Mr. lee walks into the courtyard after school and wants to know the height of the tree. he measures an angle of 47* between a line of sight to the top of the tree and the ground and he is 22 feet away from the tree. how tall is the tree? *

Answers

The tree is 23.54 feet tall.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean.

According to the question,

Height of tree= 22*tan [tex]47^{o}[/tex]

                       = 22* 1.07

                       = 23.54 ft.

Learn more about angles here:

https://brainly.com/question/25716982

#SPJ4

Calculating Volume of a Composite Figure 2 rectangular pyramids are connected at their bases. The total height of the 2 figures if 10 units. The base edge lengths are 9 units and 1.5 units. The height of each pyramid is 5 units. Which statements about the composite figure are true? Check all that apply. The composite figure consists of two rectangular pyramids. The composite figure can be broken down into rectangular prisms. The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5). The total volume is 45 units3. The total volume is 90 units3.

Answers

The answer which are true about the two rectangular pyramids are;

The composite figure consists of two rectangular pyramids.The composite figure can be broken down into rectangular prisms.The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5).

Which statements about the composite figure are true?

It follows from the task content that the dimensions of the rectangular prisms are the same and are as given.

On this note, it follows that the volume of the composite figure is; 1.5(9)(5) + 1.5(9)(5) = 135units³.

Read more on rectangular prisms;

https://brainly.com/question/26265930

#SPJ1

Simplify:6 to the power of 5/6to the power of 2.
A.1/6 to the power of 3
B.6 ttpo 7
C.6ttpo 2
D.6ttpo 3

Answers

The value of 6 to the power of 5/6to the power of 2 is 6 to the power of 3

How to simplify the expression?

The expression is given as:

6 to the power of 5/6to the power of 2.

Rewrite properly as:

6^5/6^2

Apply the law of indices

6^(5-2)

Evaluate the difference

6^3

Hence, the value of 6 to the power of 5/6to the power of 2 is 6 to the power of 3

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

Direct materials $ 5.50 direct labor $ 3.00 variable manufacturing overhead $ 1.50 fixed manufacturing overhead $ 4.00 fixed selling expense $ 2.50 fixed administrative expense $ 2.00 sales commissions $ 1.00 variable administrative expense $ 0.50 13. if the selling price is $21.50 per unit, what is the contribution margin per unit? (do not round intermediate calculations. round your answer to 2 decimal places.)

Answers

The contribution margin per unit is $ 1.50

The contribution margin is the percentage of a product's sales revenue that isn't consumed by variable costs and goes toward paying the firm's fixed expenses.

One of the main components of break-even analysis is the idea of contribution margin.

Labor-intensive businesses with few fixed expenses tend to have low contribution margins, whereas capital-intensive, industrial businesses have more fixed costs and, thus, higher contribution margins.

According to the question,

Total expenses per unit = $(5.50+3.00+1.50+4.00+2.50+2.00+1.00+0.50)

                                        = $ 20

Selling Price per unit = $ 21.50

Thus, contribution margin per unit = $ (21.50 - 20)

                                                         = $ 1.50

Learn more about contribution margin here:

https://brainly.com/question/24962994

#SPJ1

At birth, one puppy weighs 15/16 pounds. A second puppy weighs 1 and 1/8 pounds. How much more did the second puppy weigh?

Answers

Answer:

3/16 pounds more.

Step-by-step explanation:

It is 1 1/8 - 15/16

= 9/8 - 15/16

= 18/16 - 15/16

=  3/16.

Note: Figure is not drawn to scale.

The object above is symmetrical through Z. If Y = 14 inches, Z = 14 inches, and H = 10 inches, what is the area of the object?

Answers

The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of kite = (product of diagonals)/2

Area of kite = (10 * 14) / 2 = 70 in²

The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Other Questions
Michael manser claims that eating a hamburger is an example of what type of distraction? I need help with this geometry question asap! How much money will you have in 6 years if you invest $16,000 at a 3.1% annual rate of interest compounded quarterly The dark of night motif used in this excerpt creates asense ofO urgency.O anxiety.O romance.O confusion. I need help anyone with graphs The term ____________________ describes any degenerative or inflammatory condition of the kidney. NL and MK are diameters of circle J.Circle J is shown. Line segments M K and N L are diameters. Line segment J P is a radius. Angle M J N is 62 degrees and angle N J P is 90 degrees.Complete the statements about circle J.Arc M P is aand measuresdegrees.Arc M L N is aand measuresdegrees. Which county(s) establishes a pilot ignition interlock devices (iid) program in january 2016 A business, but not an individual person, can be deemed liable for monopolizing or attempting to monopolize trade or commerce in violation of the antitrust laws. Group of answer choices True False A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?O 14O2428O 56 Long-term attraction is a judgment about the relationship's potential. a) true b) false State three types of work carriedout in your community. PLEASE HELP I've been struggling on this one :( Suppose you need 0.12L of a 0.13M solution of NiCl2, but all you have is a solution that is a solution that is 0.23M. What volume of the solution do you need to dilute Which data protection process provides prebuilt capabilities, mapped to specific regulations, to create the necessary resources to implement and demonstrate compliance with these regulations Should we protect native British species against invasive species? Justify your view? How do the characters in the two stories The Lady or the Tiger and "A Lady's Tale differ? How are they the same? Two random samples were done to determine how often people in a community go to the dentist. the first sample surveyed 10 people as they entered their workplaces. the first sample found that the mean time between visits to the dentist was 7.5 months. the second sample surveyed 50 people as they entered the local grocery store. the second sample found that the mean time between visits to the dentist was 18.1 months. which statements are true? check all that apply. the first sample is likely to be more representative of the population. the second sample is likely to be more representative of the population. the second sample will give a better representation because it is larger. the first sample is not biased. community members probably visit the dentist about once every 18 months. The average 6-year-old answers 25 out of 50 questions correctly on a numerical test. Bailey, a 10-year-old girl, takes the same test and answers 25 questions correctly. In the French psychologist Alfred Binet's terms, Bailey has a mental age of ________ years. The light meter inside your camera assumes your scene has an overall average brightness of________