2. Gravetter/Wallnau/Forzano, Essentials - Chapter 4 - End-of-chapter question 2

What is the range for the following set of scores? (You may have more than one answer. )

6, 12, 9, 17, 11, 4, 14

Answers

Answer 1

The range for the following set of scores: 6, 12, 9, 17, 11, 4, and 14 is 13.

In statistics, the range is a measure of dispersion that describes the difference between the largest and smallest values in a dataset. The range is used to describe the spread of a dataset and can be a simple way to identify outliers or unusually large or small values. It is a simple measure of statistical dispersion and is most useful for interval and ratio data.

It is calculated by subtracting the minimum value from the maximum value among the data set.

range = maximum value - minimum value

Plug in the necessary values and solve for the range.

range = 17 - 4

range = 13

Therefore, the range for the following set of scores is 13.

Learn more about range here: https://brainly.com/question/24326172

#SPJ4


Related Questions

Nancy Stone has a small company and has negotiated a special rate for rental cars when she and other employees take business trips. The maximum charge is $45. 00 per day plus $0. 40 per mile. Discounts apply when renting for longer periods of time or during off-peak seasons

Answers

A linear inequality that models the total cost of the daily rental c(m) as a function of the total miles driven, m is c(m) ≤ 45 + 0.4 m.

What is linear inequality?

In mathematics, an inequality involving a linear function is referred to as a linear inequality. One of the inequality symbols is found in a linear inequality. In graph form, it displays the non-equal data.

Given:

Nancy Stone has a small company and has negotiated a special rate for rental cars when she and other employees take business trips.

The maximum charge is $45. 00 per day plus $0. 40 per mile.

A linear inequality involves a linear function. It contains one of the symbols of inequality. It exactly looks like a linear equation, with the inequality sign replacing the equality sign.

According to the statement Nancy has negotiated a special rate and the maximum charge is $45.00 per day with the addition of $ 0.40 per mile.

So,

a linear inequality that models the total cost of the daily rental as a function of the total miles driven, m is:

c(m) ≤ 45 + 0.4m

Hence, a linear inequality that models the total cost of the daily rental c(m) as a function of the total miles driven, m is c(m) ≤ 45 + 0.4 m.

To know more about linear inequality, click on the link

https://brainly.com/question/12749528

#SPJ4

If $n$ is a positive integer such that $2n$ has 28 positive divisors and $3n$ has 30 positive divisors, then how many positive divisors does $6n$ have

Answers

As per the given equation the total number of positive divisors that $6$ has is 38.

What is the positive divisor?

The divisors (or factors) of a positive integer are the integers that evenly divide it.

The formula for calculating the total number of divisor of a number ′n′ where n can be represent as powers of prime numbers is shown as.

If N= paqbrc

Then total number of divisors = (a+1)(b+1)(c+1).

If we want to find the positive divisors for an integer n, we just take the integers 1, 2, 3, . . . , n, divide n by each, and those that divide evenly make up the set of positive divisors for n.

The divisors (or factors) of a positive integer are the integers that evenly divide it

To learn more about positive integer visit:

https://brainly.com/question/26051073

#SPJ4

The table below shows information about how many fans there were at two
football matches in a local tournament.
What is the difference between the number of away fans at the semi-final and at
the final?
Semi-final
Final
Total number of fans
250
400
Ratio of home fans
to away fans
6:4
7:3

Answers

Therefore , the solution of the given problem of ratio is Because of this, at a 95% confidence level, (a,b) = ($65.57, $74.43).

What is ratio?

A ratio or fraction in math displays how many times one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3 or decimal 1.333).

Here,

Confidence intervals are defined as a range of values with a known chance that a parameter's value falls inside them.

A statistical data's confidence interval can be expressed as.

=> x+/-zr/√n

=> Knowing that;

Average Sample x = $70.00

$17.50 is the standard deviation.

n = 60 samples were used.

95% confidence interval

95% confidence interval for z = 1.96

substituting our current values;

$70.00+/-1.96($17.50/√60)

$70.00+/-1.96($2.259240285287)

$70.00+/-$4.428110959163

$70.00+/-$4.43

= ( $65.57, $74.43)

Therefore , the solution of the given problem of ratio is Because of this, at a 95% confidence level, (a,b) = ($65.57, $74.43).

To know more about ratio , visit

https://brainly.com/question/13419413

#SPJ1

Tell whether (0, -1) is a
is a solution of the inequality whose graph is shown.

Answers

It is not a solution because it isn’t on the boundary line

Answer:

No, the point isn't in the shaded area

Step-by-step explanation:

Find the distance AB:
A = (-2, 1) and B = (5, -4)
Simplify.
d = √(5− −2)² + (−4 − 1)²

A. √74
B. √24
C. √-16

Answers

The formula to calculate the distance:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

(x₁,y₁) = -2, 1(x₂,y₂) = 5, -4

We substitute and solve:

d = √(-5(-2))² + (-4-1)²

d = √7² + (-5)² = √49 + 25

d = √74 ====> Alternative "A"

Solve −1/5x=6 (probably very easy but I zoned out and missed a lot)

Answers

Answer:

-30

Step-by-step explanation:

-1x/5 = 6

-x/5 = 6

-x = 30

x = -30

45 PTS no need to explain.

Answers

Answer:

B. SAS

-----------------------------------

The two triangles have 2 sides marked as congruent and the included angles are congruent as vertical angles:

AC ≅ EC,BC  ≅ DC,∠ACB ≅ ∠ECD

This gives us SAS congruence postulate.

The matching choice is B.

Alex, beverly and carl live on the ame traight road. Alex live 12 mile from berverly and carl 4 mie from berve,y, how far doe alex live from carl?

Answers

If we assume that Cal lives between Beverly and Alex: so the distance between the two of them is 11-4 = 7 miles.

What is the number line and why is it used?

Number line is a line contain every real numbers which includes all rational and irrational number. Generally we use it for determining ranges of a set. Using number line we can understand range and domain of function easily. A number line is a picture representation of real numbers evenly laid out on a straight line.

How far is from 0 on a number line?

The distance from zero of a positive number r is simply r. But if r is negative, then we make a positive number by multiplying by -1, in other words -r is the distance in that case.

There is a standard mathematical function that does this, called the modulus function.

And whether r is positive or negative we write it like this |r|

So for example |100|=100 and |-100|=100 as well.

Alex is 11 miles away, and Cal is 4 miles away, so the distance between the two of them is 11-4 = 7 miles.

If we assume that Cal lives on the opposite side of Beverly from Alex:

Alex is 11 miles away from Beverly, and Cal is 4 miles away from Beverly in the opposite direction from Alex, so the distance between Alex and Cal is 11 + 4 = 15 miles.

The easiest way to see this is by creating a number line.

(for the first possible solution) If you put Beverly as a point, let's call it 0, then we would put Alex at 11 and Cal at 4, and the distance between them is 7.

(for the second possible solution) If you put Beverly as a point, 0, then we would put Alex at 11 and Cal at -4, and the distance between them is 15.

To learn more about number line visit:

https://brainly.com/question/30064799

#SPJ4

How many minutes will a bus take to cover 5 km travelling at 9 km/h?

Answers

Answer:

the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.

Step-by-step explanation:

To find out how many minutes it will take for a bus to cover 5km at a speed of 9km/h, we need to use the formula:

time = distance / speed

In this case, the distance is 5 km, and the speed is 9 km/h. To convert the speed to km/min we can divide 9 by 60.

9 km/h = 0.15 km/min (by dividing 9 by 60)

Now we can substitute the distance and speed into the formula:

time = 5 km / 0.15 km/min = 33.33 min

So, the bus will take approximately 33.33 minutes to cover 5km at a speed of 9 km/h.

It's important to note that in this problem km/h is the speed and the distance is given in km, so you need to convert it to km/min in order to find the time. Also the time you get will be in minutes.

The circle below has center H. Suppose that mLFEG=46°. Find the following.

Answers

From given circle, Measure of arc FG = 23πr/45 and ∠FHG = 92°.

The distance between the two locations along a segment of a curve is known as the arc length. Any portion of the circumference is an arc in a circle. The angle that an arc occupies at any given point is the angle created by the two line segments that connect that point to the arc's endpoints.

Length of an Arc = r, where is in radians, is the formula used to express the arc length of this arc OP.

The measure of ∠FHG = 2 × 46° [As Angle at center equals twice at circumference]

So, ∠FHG = 92°

Measure of the arc FG = 2πr(θ/360°)

FG = 2πr(92/360)

FG = 23πr/45

To learn more about circle from given link

https://brainly.com/question/24810873

#SPJ1

What is the solution to the system of linear equations 3x minus 2y equals 14 5x plus y equals 32?

Answers

The solution to the system of linear equations is x = 10 and y = 22.

To solve this system of linear equations, we can use the substitution method.

First, we want to isolate one of the variables in either equation. Let's start with equation 1:

3x - 2y = 14

Add 2y to both sides to isolate x:

3x = 14 + 2y

Divide both sides by 3 to solve for x:

x = (14 + 2y) / 3

Now, substitute this expression for x into equation 2:

5x + y = 32

5(14 + 2y) / 3 + y = 32

Simplify:

70 + 10y + y = 32

Combine like terms:

11y = -38

Divide both sides by 11 to solve for y:

y = -38 / 11

y = -3.45454545...

Now, substitute -3.45454545... for y in the expression for x:

x = (14 + 2(-3.45454545...)) / 3

x = (14 - 6.9090909...) / 3

x = 7.09090909... / 3

x = 2.36363636...

x = 2.4 (rounded to nearest tenth)

Now that we have both x and y, the solution to the system of linear equations is x = 2.4 and y = -3.5.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Are 6x - x + 5 and 6+5 equivalent?

Answers

Answer:

no

Step-by-step explanation:

the one equation has variables and numbers go in for the variable and the other equation just equals 11

What is the nature of the roots of the quadratic equation 5x^2 4x 1?

Answers

The nature of roots of quadratic equation 5x² = 4x - 1 is imaginary roots.

The standard form of a quadratic equation is:

ax² + bx + c = 0

The discriminant is defined as:

D = b² - 4ac

Using  the value of discriminant, we can determine the nature of roots of a quadratic equation.

If:

D > 0, the quadratic equation has two distinct real roots or the roots are real and distinct.

D = 0, the quadratic equation has 1 real equal roots or the roots are unique

D < 0, the quadratic equation has complex conjugate roots or the roots are imaginary.

In this case, the quadratic equation is:

5x² = 4x - 1

transform it into the standard form:

5x² - 4x + 1 = 0

Calculate the discriminant:

D = (-4)²  - 4 (5)(1)

  = 16 - 20 = -4

Since D < 0, the roots are imaginary.

Your question is incomplete, but most probably your question was:

What is the nature of roots of quadratic equation 5x² = 4x - 1?

Learn more about quadratic equation here:

brainly.com/question/30097882

#SPJ4

1/2x+y=4
x+1/3=2
solve the linear system ​

Answers

Answer:

x = 5/3, y = 2/3

Step-by-step explanation:

x/2 +y = 4 equ 1

x + 1/3 = 2 equ 2

solve for x in equation 2 and then use it to find y in equation 1

Which of the following is equivalent to 5 a) ²/3 + 2/1/1/0 4 b) 1/2 x 1/1/20 c) / x4 d) / x4 ÷ 4 ? Show your thinking.​

Answers

The answer is d) / x4 ÷ 4.

To show my thinking, I will use the distributive property to simplify the expression.

5 = (1/2 x 1/1/20) + (²/3 + 2/1/1/0 4)

= (1/2 x 1/1/20) + (1/2 x 4)

= (1/2 x 1/1/20) + (1/2 x 4/1)

= (1/2 x 1/1/20) + (1/2 x 4/1) ÷ 4

= (1/2 x 1/1/20 ÷ 4) + (1/2 x 4/1 ÷ 4)

= (1/2 x 1/4/80) + (1/2 x 1/4)

= (1/8 x 1/80) + (1/8)

= 1/8 + 1/8

= / x4 ÷ 4

what is the equation of a line that is parallel to 4x+3y=12 AND passes through the point (3,4) ?

Answers

Answer:

Step-by-step explanation:

Given Line equation is 4x+3y=12 and point (3,4)

Given condition two line are parallel

Parallel means two straight lines having same slope.

From the above condition we can use "point-slope"  equation.

[tex]y-y_{1} =m(x-x_{1} )[/tex]    

From the given line equation we can find slope easily.

We can rewrite the line equation as [tex]y=-\frac{4}{3} x+4[/tex]

We can compare the above equation as  y=mx+b

slope [tex]m=-\frac{4}{3}[/tex] and point [tex](x_{1} ,y_{1} )[/tex]=(3,4) submit in slope-point equation.

Becareful while submit point in the slope point equation.

Note:(Many students do mistakes while submitting point.

[tex]y-4=-\frac{4}{3}(x-3)[/tex]

solve and get the answer

Equation of line is 4x+3y=24

What is the slope of the line that contains the points (-3, -7/2) and (2, -4)

Answers

Answer: m = -1/10

Step-by-step explanation:

Use the slope formula to find the slope m.

m = −1/10

What is a 9 sided shape called?

Answers

A 9-sided shape is called a nonagon.

Therefore the answer is nonagon.

A nonagon is a polygon with nine sides and nine angles. A nonagon can be regular or irregular, depending on the lengths of its sides and angles. A regular nonagon has equal sides and angles, while an irregular nonagon has sides and angles of different lengths.

Nonagons are two-dimensional shapes, and they can be described by their number of sides, angles, and vertices. They are considered a type of polygon, which is a closed geometric figure that is made up of straight lines. In addition to nonagons, there are other types of polygons such as triangles, quadrilaterals, pentagons, hexagons, heptagons, and so on.

To know more on polygon

https://brainly.com/question/24328525

#SPJ4

The Space Needle elevator can hold a maximum of 4,500 pounds. Twenty-five people need to use the elevator. Arian had some measures from the data set of how much each person weighed. Which measure would be most useful to determine if the people can safely use the elevator?
Answer choices
Mode

Mean

interquartile range

Median

Answers

The measure that would be most useful to determine if the people can safely use the elevator is B. Mean

How to illustrate the information?

The most useful measure to determine if the people can safely use the elevator would be the mean weight of the people, as it would give an idea of the average weight of the group and if it is below 4,500 pounds.

The mode is the most common value in a set of data and does not give information about the weight of the entire group. The interquartile range is a measure of the spread of the middle 50% of the data and does not give information about the average.

In conclusion, the correct option is B.

Learn more about mean on:

https://brainly.com/question/14532771

#SPJ1

find each value:
X=
Y=
GH=
GJ=
FE=
GE=​

Answers

The values for figure is  x = 2, y = 9,

GH = 8, GJ = 7,

FE = 3, GE = 7​.

What is quadrilateral?

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

The Latin words quadra, which means four, and latus, which means sides, are combined to form the English word quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides.

Given figure shows

GH parallel to EG

GH = EG

GH = 3y - 19

EG = 8

3y - 19 = 8

3y = 27

y = 9

GH = 3y - 19 = 3(9) - 19 = 8

and GJ parallel  to JE

GJ = JE

GJ = 3x + 1

JE = 5x - 3

3x + 1 = 5x - 3

5x - 3x = 1 + 3

2x = 4

x = 2

values are,

GJ = 3x + 1 = 3(2) + 1 = 7

JE = 5x - 3 = 5(2) - 3 = 7

FE = 6x - y

substitute values,

x = 2, y = 9

FE = 6x - y = 6(2) - 9 = 12 - 9 = 3

Hence x = 2, y = 9

GH = 8, GJ = 7,

FE = 3, GE = 7​.

Learn more about quadrilateral;

https://brainly.com/question/13805601

#SPJ1

What is the probability that andre olivia and zack all win gift cards that are at least $25

Answers

The probability that Andre, Olivia, and zack all win gift cards that are at least $25 is 1/4. Hence option C is the correct option.

What is an event?

An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.

The wheel consists of 8 equal sections. Each section contains the price of a gift card. 4 sections contain a $5 gift card, 2 sections contain a $5 gift card, one section contains a $25 gift card, one section contains a $50 gift card.

To win at least $5, they have to get either $25 or $50.

Thus the number of outcomes of favorable event is 2.

Total number of outcomes is 8.

The probability to win at least $25 is 2/8

Divide denominator and numerator by 2:

2/8 = 1/4

To learn more about probability, click on the below link:

https://brainly.com/question/743479

#SPJ4

Find (angle) Then classify the triangle by its angles.

M (angle) 1 =

Answers

Answer:

m∠1 = 110°obtuse triangle

Step-by-step explanation:

You want to find the measure of the angle designated as ∠1, given the other two have measures of 40° and 30°. You also want the classification of the triangle based on its angles.

Angle sum

The sum of angles in a triangle is 180°.

  40° +∠1 +30° = 180°

  ∠1 = 110° . . . . . . . . . . . . subtract 70°

Triangle classification

The classification of a triangle as acute, right, or obtuse is based on the measure of its largest angle. If that angle is 90°, the triangle is a right triangle. If it is less, the triangle is acute; if it is more, the triangle is obtuse.

The angle measure 110° is more than 90°, so this triangle is an obtuse triangle.

How many ways can the train be made up?

Answers

Answer:

16c9

Step-by-step explanation:

First, we will add up the number of different car possibilities. This is:

6 + 7 + 3 = 16.

Then, we need to take 9 of these 16 cars, giving us 16c9.

Hope this helped!

Answer:

4,151,347,200

Step-by-step explanation:

A triangle has 2 sides of length 2 and 18 what compound inequality describes the possible lengths for the third side length

Answers

I'm pretty sure the answer is 72 :))

The function w (t) = 29 + 0.0674t gives the estimated weight, in pounds, of a beaver t days
after June 1, where t < 90. Which of the following is the best interpretation of 29 in this context?

1)The estimated weight, in pounds, of the beaver 90 days after June 1

2)The estimated weight, in pounds, of the beaver on June 1

3)The estimated number of pounds by which the beaver's weight increased each day after June 1

4)The estimated number of pounds by which the beaver's weight increased in the 90 days after
June 1

Answers

Answer:

2) The estimated weight, in pounds, of the beaver on June 1.

Step-by-step explanation:

Given function:

[tex]w(t) = 29 + 0.0674t \quad t < 90[/tex]

where:

w = weight of a beaver (in pounds)t = time after June 1 (in days)

When t = 0:

[tex]\begin{aligned}\implies w(0)&=29+0.0674(0)\\&=29+0\\&=29\end{aligned}[/tex]

Therefore, the constant of the equation (29) is the estimated weight of the beaver, in pounds, when t = 0.

As t = 0 is June 1:

29 is the estimated weight, in pounds, of the beaver on June 1.

Ashley is selling handmade jewelry to earn money for camp. Bracelets sell for $7.62 and
necklaces sell for $15.67, and she needs to make at least $450 in revenue to cover the cost
of camp.
Write the inequality in standard form that describes this situation. Use the given numbers and
the following variables.
X
= the number of bracelets
V
= the number of necklaces

Answers

Equation for the sentence's inequality are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.

what is inequality ?

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

given

let X =  the number of bracelets

let Y =  the number of necklaces

The inequality equation = 7.62x + 15.67y >= 450

Equation for the sentence's inequality She needs to generate at least $450 in revenue because bracelets are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.

To know more about inequality visit :-

https://brainly.com/question/29914203

#SPJ1

Angle 1 and Angle______ are alternate exterior angles.

Answers

It’s angle 1 and angle 8


The pair of angles that are formed on the other side of the pearl lines, but on the opposite side of the transversal


goodluck

Angle 1 and 8 is the right answer for this!

Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector's house to bike home. He can bike the 8
miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch
up. He can ride to Darnell's house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell
before he gets home?
a. Write the linear equation that represents Darnell's constant speed.



i need this ASAP

Answers

Darnell's constant speed, as determined by the solution, is 20 miles per hour.

What is the process of linear algebra?

It covers linear transformations more broadly as well as vectors, matrices, and vector spaces. One area of mathematics is linear algebra. In comparison to other areas of mathematics that are frequently driven by innovative ideas and unresolved problems, linear algebra is a discipline that is very well understood.

According to the given information:

Distance=8 miles

Time taken is=32 minutes

speed=distance/time

speed=15 miles/hour

Darnel has travelled a distance of 1.5x5/60=0.125 miles in under five minutes.

Hector bicycle speed = distance/time

hector speed of bike=  20 miles/hour

To know more about  linear algebra visit:-

brainly.com/question/24875240

#SPJ1

if i drank x ounces of juice and someone drank 1/3 more than that what is your equation.

Answers

Answer:

y = x + 1/3

Step-by-step explanation:

We know

You drank x ounces of juice and someone drank 1/3 more than what you think

Let's y represent the total, we have the equation

y = x + 1/3

Answer: 4/3x (or 1/3 + x, since your wording's pretty odd)

Step-by-step explanation:

i can't tell if the one-third you're referring to is a third of how many ounces of juice you drank (meaning it will change if you drank 1, 2, 3 oz of juice and so on) or if it's always going to be a third of an ounce more than the amount of oz of juice you drank (in which case it'd be 1/3 + x). anyway just choose whichever answer you're looking for :3

what is 13 divided by 12

Answers

The answer simplified would be 1.08

Answer:

1.0833333333333333333333333333333333 (repeats)

Step-by-step explanation:

use a calculator

Other Questions
Look at the diagram below. Calculate the present resistance of the variable resistor if the ammeter is reading 0.8A. The scatter plot shows the number of strawbernes that have been picked on the farm during the month of February. Part A Using computer software, a correlation coefficient of 0. 01 was calculated Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points) Part B. Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm (5 points) 26. Universal Containers (UC) has a queue that is used for managing tasks that need to be worked by the UC customer support team. The same team will now be working some of UC's Cases. Which two options should the administrator use to help the support team what is visual literacy? You have 50 coin that worth $8. 25. You have dime, quarter and nickel. The number of quarter i 5 more than twice the number of nickel. How many dime, quarter and nickel do you have individually Consider the quadratic function f(x) = x2 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, 8). The graph contains the point (0, 0). Explain how both the strict and loose interpretations would have viewed the creation of the national bank How do you know if an element is reactive or not? the efficiency of the turbines and generators is 80% calculate the useful output energy transfer from the hydroelectric power station in 1 minuteuse your answer to part (b) What is meant by the phrase "deception can serve as a social lubricant?" Why do the Iroquois honor both twins? 7 - 13a = 27 solve for A Jim holds a commercial lease. Last year his rent went up 4% based on a 4% increase in the wholesale price index. What type of lease does Jim have 1. True or False: The solution you get from substitution is the same as the solution you would getfrom graphing. *FalseTrue2. For substitution, we want *(1 Point)a. both equations to be in standard form Ax + By = Cb. equations with negative numbersC. at least one equation to be y= or x=d. equations with positive numbers On the first day of spring, an enire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The relationship between the elapsed time, t, in days, since the beginning of spring, and the total number of locusts, Nday (t), is modeled by the following function: Nday (t) = 300.(1.2)^tComplete the following sentence about the weekly rate of change in the locust population. Round your answer to two decimal places. Every week, the number of locusts grows by a factor of Triangle BAC was rotated 90 clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true? Which TWO scenarios can be represented by a ratio of 4 : 5?I NEED AN ANSWER ASAP PLEASE How do you write a first paragraph in a review? If we remove 11 books from my shelf and multiply the remaining number of books by 12, we will get the same result as of we remove 10 books from the shelf and multiply the remaining number of books by 11. How many books are on my shelf before any are removed? Which two lines from the selection are examples of concessions?A You may well ask: "Why direct action? Why sit-ins, marches and so forth? Isn't negotiationa better path?'You are quite right in calling for negotiation. (paragraph 10)B The purpose of our direct-action program is to create a situation so crisis-packed that it willinevitably open the door to negotiation. (paragraph 11)C You express a great deal of anxiety over our willingness to break laws. This is certainly alegitimate concern.(paragraph 15)D How does one determine whether a law is just or unjust? A just law is a man-made codethat squares with the moral law or the law of God. (paragraph 16)E Who can say that the legislature of Alabama which set up that state's segregation laws wasdemocratically elected? (paragraph 18)