Saltarecis a maker of high-end apparel for woman. For market research one afternoon, Saltare’s sales team surveyed adult women at a busy airport on the number of blouses they own. The histogram below summarizes the data. Use the histogram to answer each of the questions

Saltarecis A Maker Of High-end Apparel For Woman. For Market Research One Afternoon, Saltares Sales Team

Answers

Answer 1

(a)

The class width of the histogram is given by the range of each bar in the histogram, that is, the upper limit minus the lower limit of a bar (plus 1, since we need to include the boundary values of the range).

Looking at the first bar, the upper limit is 19 and the lower limit is 11, therefore the class width is 9 (because there are 9 elements between 11 and 19, so we need to add 1 to the subtraction of 19 and 11)

(b)

The most frequent class is the third one (third vertical bar).

The frequency of this bar (that is, the value in the y-axis) is equal to 8.

Therefore 8 women are in this class.

(c)

The number of women with 28 or fewer blouses is given by the frequency of the first two bars.

Adding the frequency of the first bar (1) and the frequency of the second bar (5), we have that 6 women have 28 or fewer blouses.


Related Questions

Consider the equation below. 4(x - 4) + 6x = 14 Part A: Enter the value for x that makes the equation true. X = Part B: Explain the algebraic steps you took to get the solution. thea Part C: Explain how you know your solution in Part A is correct.

Answers

Part A) To find out the value for x that makes it an identity, (true), we need to solve it.

4(x-4) +6x=14 Distiribute

4x -16 +6x = 14 Combine like terms

2x -16 = 14 Add 16 to both sides

2x = 30 Divide both sides by 2

x =15

Part B) Above explained.

Part C) We can know it by plugging it into the original equation:

4(15 -4) +6(15) = 14

4(11) +90 = 14

44

White the standard form of the equation of the line through the given point with the given slope.

Answers

The standard form equation of a line is expressed as

Ax + By = C

where

A, B and C are real numbers and A and B are not both zero. From the information given,

the line passes through(- 2, 5) and slope = - 4

We would find the y intercept of the line, c by substituting slope, m = - 4, x = - 2 and y = 5 into the slope intercept equation which is expressed as

y = mx + c

Thus, we have

5 = - 4 * - 2 + c

5 = 8 + c

c = 5 - 8 = - 3

Thus, the equation of the line in the slope intercept form is

y = - 4x - 3

We would convert it to standard form. Thus, we have

y + 4x = - 3

4x + y = - 3

Thus, the equation in standard form is

4x + y = - 3

5. (20 x 5 + 10) - (8 × 8 - 4)=
a. 58
b. 50
c. 40

Answers

Answer:

b. 50

Step-by-step explanation:

20 x 5 + 10 = 110

8 × 8 - 4 = 60

110 - 60 = 50

Answer:

b. 50

Step-by-step explanation:

(20x5+10)- (8x8-4)

(100+10) - (64-4)

110 - 60

equals 50

Describe the translation:A) 4 units right and 6 units downB) 4 units left and 6 units upC) 6 units left and 4 units upD) 6 units right and 4 units down

Answers

To describe the transfer we will review what the points of the blue and red triangle are.

Blue triangle

I = (-2, 8)

I' = (4, 4)

First, we will determine the x-axis translation

[tex]\begin{gathered} \Delta x=x2-x1 \\ \Delta x=4-(-2) \\ \Delta x=6 \end{gathered}[/tex]

6 units right

Now let's calculate the y-axis transfer

[tex]\begin{gathered} \Delta y=y2-y1 \\ \Delta y=4-8 \\ \Delta y=-4 \end{gathered}[/tex]

4 units down

The answer would be 6 units right and 4 units down​

can i get some help please?

Answers

[tex]\begin{gathered} \text{First, find the slope of the graph} \\ \text{two points are (-1, 0) and (1, -6)} \end{gathered}[/tex][tex]\text{slope m = }\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{-6-0}{1-(-1)}=\frac{-6}{2}\text{ = -3}[/tex][tex]\begin{gathered} \text{calculate the equation of the line using slope and one point form} \\ y-y_1=m(x-x_1) \\ m=-3,usingpoint(-1,0),x_1=-1,y_1=\text{ 0} \\ y-0\text{ = -3( x-(-1))} \\ y=-3(x+1) \\ y=-3x-3 \end{gathered}[/tex]

Jamal is comparingprices of several different brandsof peanuts. Which brand is thebest buy? Explain.

Answers

So we need to figure out which is the best buy. In order to do this we must look at a particular variable: the price per ounce of peanuts. This price is given by dividing the total price of a certain amount of peanuts divided by its weight in ounces. So for the Barrel brand we get:

[tex]\frac{3.39}{10}=0.339[/tex]

So the Barrel peanuts cost $0.339 per ounce. For the Mr. Nut peanuts we get:

[tex]\frac{4.54}{14}=0.324[/tex]

Then the Mr. Nut peanuts cost $0.324 per ounce. Finally, the price per ounce of the Chip's peanuts is:

[tex]\frac{6.26}{18}=0.348[/tex]

Then, the cheapest peanuts are those of the brand Mr. Nut and that is the best buy.

How do the coordinates of the blue point relate to the solution of the equation 3x = x + 4

Answers

we have the following:

They are related in the way taht if we replace, in both equations it gives the same result:

[tex]\begin{gathered} 3x=2\cdot3=6 \\ x+4=2+4=6 \end{gathered}[/tex]

ifvx varies directly as y and x =36 when y=6 find x when y=9​

Answers

Answer:

54

Step-by-step explanation:

Hello!

A direct variation can be expressed as [tex]y = ax[/tex], where a is multiplied.

As you can see, x is 6 times greater than y, proving that when y is 6, x is 36 (6*6 = 36).

Therefore, we can say that if y is 9, we can multiply the value by 6 to find the x-value:

x = 6 * 9x = 54

So the value of x is 54.

Find the probability of at least 2 girls in 6 births. Assume that male and female births are equally likely and that the births are independent events.0.6560.1090.2340.891

Answers

We need to use Binomial Probability.

Of 6 births, we want to find the probability of at least 2 of them being girls.

To solve this, we need to find:

Probability of exactly 2 girls

Probability of exactly 3 girls

Probability of exactly 4 girls

Probability of exactly 5 girls

Probability of exactly 6 girls

If we add all these probabilities, we get the probability of at least 2 girls.

To find the probabilities, we can use the formula:

[tex]_nC_r\cdot p^r(1-p)^{n-r}[/tex]

Where:

n is the number of trials (in this case, the number of total births)

r is the number of girls we want to find the probability

p is the probability of the event occurring

[tex]_nC_r\text{ }is\text{ }the\text{ }combinatoric\text{ }"n\text{ }choose\text{ }r"[/tex]

The formula for "n choose r" is:

[tex]_nC_r=\frac{n!}{r!(n-r)!}[/tex]

Then, let's find the probability of exactly 2 girls:

The probability of the event occurring is:

[tex]P(girl)=\frac{1}{2}[/tex]

Because there is a 50% probability of being a girl or a boy.

let's find "6 choose 2":

[tex]_6C_2=\frac{6!}{2!(6-2)!}=\frac{720}{2\cdot24}=15[/tex]

Now we can find the probability of exactly 2 girls:

[tex]Exactly\text{ }2\text{ }girls=15\cdot(\frac{1}{2})^2(1-\frac{1}{2})^{6-2}=15\cdot\frac{1}{4}\cdot(\frac{1}{2})^4=\frac{15}{4}\cdot\frac{1}{16}=\frac{15}{64}[/tex]

We need to repeat these calculations for exactly 3, 4, 5, and 6 girls:

Exactly 3 girls:

let's find "6 choose 3":

[tex]_6C_3=\frac{6!}{3!(6-3)!}=\frac{720}{6\cdot6}=20[/tex]

Thus:

[tex]Exactly\text{ }3\text{ }girls=20\cdot(\frac{1}{2})^3(1-\frac{1}{2})^{6-3}=20\cdot\frac{1}{8}\cdot\frac{1}{8}=\frac{5}{16}[/tex]

Exactly 4 girls:

"6 choose 4":

[tex]_6C_4=\frac{6!}{4!(6-4)!}=\frac{720}{24\cdot2}=15[/tex]

Thus:

[tex]Exactly\text{ }4\text{ }girls=15\cdot(\frac{1}{2})^4(1-\frac{1}{2})^{6-4}=15\cdot\frac{1}{16}\cdot\frac{1}{4}=\frac{15}{64}[/tex]

Exactly 5 girls:

"6 choose 5"

[tex]_6C_5=\frac{6!}{5!(6-5)!}=\frac{720}{120}=6[/tex]

Thus:

[tex]Exactly\text{ }5\text{ }girls=6\cdot(\frac{1}{2})^5(1-\frac{1}{2})^{6-5}=6\cdot\frac{1}{32}\cdot\frac{1}{2}=\frac{3}{32}[/tex]

Exactly 6 girls:

"6 choose 6"

[tex]_6C_6=\frac{6!}{6!(6-6)!}=\frac{720}{720\cdot0!}=\frac{720}{720}=1[/tex]

Thus:

[tex]Exactly\text{ }6\text{ }girls=1\cdot(\frac{1}{2})^6(1-\frac{1}{2})^{6-6}=\frac{1}{64}\cdot(\frac{1}{2})^0=\frac{1}{64}[/tex]

now, to find the answer we need to add these 5 values:

[tex]\frac{15}{64}+\frac{5}{16}+\frac{15}{64}+\frac{3}{32}+\frac{1}{64}=\frac{57}{64}=0.890625[/tex]

To the nearest tenth, the probability of at least 3 girls is 0.891, thus, the last option is the correct one.

What is the area of this trapezoid? Enter your answer in the box. ft2

Answers

Given the figure, we can deduce the following information:

Upper base = 15 ft

Lower base = 37 ft

Height = 18 ft

To determine the area of a trapezoid, we use the formula:

[tex]A=\frac{a+b}{2}h[/tex]

where:

A=Area

a=upper base

b=lower base

h=height

We plug in what we know:

[tex]\begin{gathered} A=\frac{a+b}{2}h \\ =\frac{15+37}{2}(18) \\ \text{Simplify} \\ A=\frac{52}{2}(18) \\ =\frac{936}{2} \\ A=468ft^2 \end{gathered}[/tex]

Therefore, the area of the trapezoid is 468 ft^2.

Find the value of x so that f(x) = 7.YA6f4200246XX =

Answers

The blue line in the graph indicates the function f(x).

The values in the y-axis are the value of the function, that is, the value of f(x) for a given value of x. The x-axis indicates what value of x generates the value in the y-axis.

So, if we want to find the value of x that gives us f(x) = 7, we need to find where is the value '7' in the y-axis, then we draw an horizontal line from this value toward the line of the function (blue line).

This horizontal line will intersect the function in a certain point. This point is where the function has the value 7.

Now, to find the value of x of this point, we draw a vertical line from this point downwards, until it intersects the x-axis.

This way, looking at the image, we can see that the value of x that gives us f(x) = 7 is the value x = 5.

8. Kayla finds the multiplication
facts for 12
by doubling the multiplication facts for 6.
Does Kayla's strategy work?
Use words, numbers, or pictures to explain.

Answers

A strategy is a way to manipulate numbers, use connections and interactions between numbers to solve an issue. For each procedure, there are a few key tactics. The first thing you do with the statistics is frequently used to categorize, characterize, or label a technique.

What is a doubling strategy?By doubling the multiplication facts for 6, Kayla discovers the 12 multiplication facts.The participant does as instructed, multiplying the number twice or three times. Lily, for instance, rolls "4" and "DDD." She believes that double 4 is equal to 8, double 8 to 16, and double 16 to 32. Four times eight equals 32.A number is simply doubled when multiplied by two, according to the two times table. Any number plus itself is the same as any number multiplied by two.The card below depicts the mental image of two groups of six, or double six, that we want pupils to have. (Students who have been using ten-frames may interpret the amount as ten plus two extra.)

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how do I know which picture goes with the correct equation

Answers

If B is between A and C, but B is not midpoint, then the graph would be

The equation would be

[tex]AC=AB+BC[/tex]

On the other hand, if B is between A and C, and B is a midpoint, the graph would be

The equation would be

[tex]AB=BC[/tex]

How do i dilate a scale factor by 2?

Answers

The dilated figure is larger than the original figure if the dilation factor is greater than 1 and the dilated figure becomes smaller than the origial figure if the dilation factor is less than 1.

Since, the dilation factor is 2, the dilated image is larger than the original figure two times.

For the coordinate (x,y) in original figure, the coordiante in the dilated figure will be (2x,2y).

A boat travels 82 km on a 160 degree course. Find the distances it travel south and east, respectively

Answers

A boat travels 82 km on a 160-degree course. Find the distances it travels south and east, respectively

see the attached figure to better understand the problem

step 1

Find out the East's distance (dx)

we have that

cos(20)=dx/82

dx=82*cos(20)

dx=77.05 Km

step 2

Find out the South's distance (dy)

sin(20)=dy/82

dy=82*sin(20)

dy=28.05 Km

Solve the inequality: 3x + 4 ≤ 5
Answer in interval notation.

Answers

Answer: [tex]x\leq 1/3\\[/tex]

Step-by-step explanation:  

WILL MARK BEST ANSWER BRAINLIEST

The system of conics has two solutions.

(x−1)2+(y+4)2=25(x−1)225+(y+4)2100=1

What are the solutions to this system of conics?

Enter your answer by filling in the boxes.

Answers

Answer:

(2,0)  and (-2,0)

Step-by-step explanation:

pls mark me Brainliest

Answer: (-4,-4) (6,-4)

Step-by-step explanation:

I took the test and it said these were the corrects answers.

Find a unit vector u with the same direction as v = : (-3, 8)

Answers

Given:

The vector

[tex]v=<-3,8>[/tex]

Required:

To find the unit vector u with the same direction.

Explanation:

Unit formula is the vector is divided by its magnitude.

Now the magnitude of v is,

[tex]\begin{gathered} mag.v=\sqrt{(-3)^2+8^2} \\ =\sqrt{9+64} \\ =\sqrt{73} \end{gathered}[/tex]

Now the unit vector is,

[tex]u=<-\frac{3}{\sqrt{73}},\frac{8}{\sqrt{73}}>[/tex]

Final Answer:

[tex]u=<-\frac{3}{\sqrt{73}},\frac{8}{\sqrt{73}}>[/tex]

f(n) = -11 + 22(n - 1)Complete the recursive formula of f(n).f(1) = f(n) = f(n - 1) +

Answers

F(n) = -11 + 22(n-1)

[tex]\begin{gathered} f(1)\text{ implies that n=1} \\ F(1)\text{ = -11+22(1-1)} \\ f(1)=-11 \end{gathered}[/tex]

Hence F(1) = -11

[tex]\begin{gathered} f(n-1)\text{ implies n=n-1} \\ f(n-1)=-11\text{ +22(n-1-1)} \\ f(n-1)=-11+22(n-2)_{} \\ =\text{ -11+22n-44} \\ f(n-1)=22n-55 \end{gathered}[/tex][tex]\begin{gathered} f(n)=\text{ -11+22(n-1)} \\ =-11+22n-22 \\ 22n-33 \\ \end{gathered}[/tex]

let An = F(n) -F(n-1)

[tex]\begin{gathered} 22n-33\text{ - (22n-55)} \\ 22n\text{ - 33-22n+55} \\ =-33+55 \\ =22 \end{gathered}[/tex]

Hence F(n)= f(n-1) +22

convert this number into scientific notation 0.00098

Answers

We have to convert the number into scientific notation.

The number is 0.00098.

We start by expressing it as a fraction.

If we divide it by 10, we can express it as:

[tex]\frac{0.00098\cdot10}{10}=\frac{0.0098}{10}[/tex]

Dividing by 10 is not enough. In the same way, we have to look a numerator that is multiple of 10 that gives us a numerator that is 9.8.

We would get:

[tex]\frac{0.00098\cdot10000}{10000}=\frac{9.8}{10000}[/tex]

Now we have the numerator we need.

We now express the denominator 10,000 as a power of 10 and we get the number in scientific notation as:

[tex]\frac{9.8}{10000}=\frac{9.8}{10^5}=9.8\cdot10^{-5}[/tex]

Answer: 0.00098 = 9.8 * 10^(-5)

A glass aquarium is in the form of a rectangular parallelepiped with dimensions 50cm by 100cm, and its depth is 30cm.How many liters of water will it hold?

Answers

Hello! To find the number of liters of water, we have to calculate the volume of the parallelepiped:

The formula of the volume is:

[tex]\begin{gathered} \text{Volume = a}\times\text{ b }\times\text{c} \\ \text{Volume = 50}\times\text{100}\times\text{30} \\ \text{Volume = }150,000\operatorname{cm}^3 \end{gathered}[/tex]

Now that we know the volume, we have to convert cm³ to liters.

For this, we must remember:

1cm³ = 0.001 liter

Multiplying by rule of three, we will obtain:

[tex]\begin{gathered} 1\cdot x\text{ = 150,000 }\cdot\text{ 0.001} \\ x\text{ = 150 liters} \end{gathered}[/tex]

complete the following: 1. Find the locus of points whose: (a) ordinate saquare decressed by the square of the abscissa is the sum of the coordinates

Answers

P(x,y) is the coordinate point of the locus

ordinate is y

abscissa is x

Following the sentence we have

ordinate square y^2

decreased means subtract

square of the abscissa x^2

is means equal

the sum of the coordinates x+y

[tex]y^2-x^2=x+y[/tex]

can u help me w this i got it incorrect and can’t figure out why

Answers

1) We can see here a case in which there are two secant lines coming from a single point over that circle.

2) So, we can write out the following relation

[tex]\begin{gathered} PA\cdot PB=PC\cdot PD \\ 4(4+x)=5(5+7) \\ 16+4x=25+35 \\ 16+4x=60 \\ 16-16+4x=60-16 \\ 4x=44 \\ \frac{4x}{4}=\frac{44}{4} \\ x=11 \end{gathered}[/tex]

Farrah borrows $18,000 to purchase a new car. The annual interest rate for the 60-month loan is 4.3%.If she makes all the monthly payments, what is the total amount of interest she will pay on the loan?

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Principal = $ 18,000

Time = 60 month = 60/ 12 = 5 years

Interest = 4. 3%

Step 2:

The total amount she will pay at the end of the 5 -year period is given as follows:

[tex]\begin{gathered} A\text{ = P ( 1 + }\frac{R}{100})^t \\ A\text{ = 18000 ( 1 + }\frac{4.3}{100})^5 \\ \end{gathered}[/tex][tex]\begin{gathered} A\text{ = 22,217. 4416} \\ A\text{ }\approx\text{ }22,217.44\text{ dollars} \end{gathered}[/tex]

Step 3:

Now, we have that the amount = 22, 217. 44 dollars.

And the Principal = 18,000 dollars

If she makes all the monthly payments,

Then, the total amount of interest she will pay on the loan is:

[tex]22,\text{ 217. 44 - 18,000 = 4,217. 44 dollars}[/tex]

CONCLUSION:

The total amount of interest she will pay on the loan = 4, 217. 44 dollars.



Which one of the following angle measurements is the largest?

Answers

We have

[tex]\pi\approx3.14\text{ radians}[/tex]

and

[tex]\pi=180^0[/tex]

From these,

[tex]2\text{ radians<3 radians<}\pi<200^o[/tex]

The largest measurement is 200 degrees. Thus, option B is correct.

Select the similarity transformation(s) that make ABC similar to EDC.

Answers

Given the triangles ABC and EDC

We will find the transformation that makes the triangles are similar

As shown: the triangles are reflected over the y-axis

the rule of the reflection over the y-axis will be as follows:

[tex](x,y)\rightarrow(-x,y)[/tex]

And as shown, the length of the side AB = 3 units

And the length of the side ED = 1 units

So,

[tex]ED=\frac{1}{3}AB[/tex]

So, the answer will be:

D) (x,y) ⇒ (-x, y)

E) (x,y) ⇒ (1/3 x, 1/3 y)

What values of z and y make angle ABC = RPM?

Answers

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

If triangles ABC and RPM are congruent, it means that:

[tex]\begin{gathered} AB=RP \\ BC=PM \\ AC=RM \\ m\angle A=m\operatorname{\angle}R \\ m\operatorname{\angle}B=m\operatorname{\angle}P \\ m\operatorname{\angle}C=m\operatorname{\angle}M \end{gathered}[/tex]

For x, we have that:

[tex]\begin{gathered} BC=PM \\ BC=43 \\ PM=3x-8 \end{gathered}[/tex]

Thus, we have that:

[tex]\begin{gathered} 43=3x-8 \\ 3x=43+8=51 \\ x=\frac{51}{3} \\ x=17 \end{gathered}[/tex]

For y, we have:

[tex]\begin{gathered} m\operatorname{\angle}B=m\operatorname{\angle}P \\ m\operatorname{\angle}B=12y\degree \\ m\operatorname{\angle}P=62.4\degree \end{gathered}[/tex]

Thus, we have that:

[tex]\begin{gathered} 12y=62.4 \\ y=\frac{62.4}{12} \\ y=5.2 \end{gathered}[/tex]

Therefore, the answers are:

[tex]x=17,y=5.2[/tex]

The LAST OPTION is correct.

The function h(x) is a transformed function of f(x) = |x|. The transformation is as follows: 1 units vertical shift up, 4 units horizontal shift left.a). Write the transformed equation, h(x).b). Graph f(x) and h(x) on the same coordinate plane. Be sure to label the functions f(x) and h(x). This must be graphed by hand or by using the tools in Word.

Answers

To transform a function 1 unit up, we add 1 outside of the function

h(x) = |x| +1

shifting it 4 units to the left, we will add 4 units from x inside

h(x) = |x+4| +1

The transformed function is

h(x) = |x+4| +1

Madeline is a salesperson who sells computers at an electronics store. She makes a base pay of $80 each day and then is paid a $20 commission for every computer sale she makes. Make a table of values and then write an equation for P, in terms of x, representing Madeline's total pay on a day on which she sells x computers.

I need the Equation.

Answers

The linear equation that gives the values of P in terms of x which is Madeline's total pay on a given day is; P + 20·x + 80

What is an equation in mathematics?

An equation consists of two expressions that are joined by an equal to sign to complete a mathematical statement.

The given parameters are:

Madeline's daily base pay = $80

Madeline's commission for each computer sold = $20

The given table of values is presented as follows:

Daily pay, in Dollars, P;                     [tex]{}[/tex]        80, 100,  120, 140

Number of computers sold, x; [tex]{}[/tex]                 0,    1,       2,    3

From the above table of values, given that the independent variable, x, is increasing at a constant rate, and that the first difference is constant, we have that the relationship is a linear relationship, that has an equation of the form; P = m·x + c

Where:

m = The slope

c = The y-intercept

The slope which gives the ratio of the rise to the run of the graph is given by the equation; [tex]m = \dfrac{100-80}{1-0} =20[/tex]

The equation in point and slope form is therefore: P - 80 = 20·(x - 0) = 20·x

P - 80 = 20·x

P = 20·x + 80

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kmarks Solve the following system of equations graphically on the set of axes below 1 y 22 - 4 y = -X – 7 Plot two lines by clicking the graph. Click a line to delete il. y 10 9 8 7 6 5 4 3 2. 1 5 6 7 8 9 10

Answers

Explanation:

For the first line :

1. Draw a line which has a slope of 1 /2

2. Adjust the line so that it has a y-intercept of -4.

For the second line:

1. Draw a line which has a slope of -1

2. Adjust this line so that it has a y-intercept of -7.

Finally, find the point where the two lines intersect.

The coordinates of the point of intersection are the solution to our system.

To get a line which has a slope 1/2, you start from (0, -4 ) and then move 2 units to the right and then 1 unit up.

Other Questions
Type the appropriate form of the verb in the blank Need help with this review question. I need to know how to find the measurements from the cyclic quadrilateral find the perimeter of the triangle whose vertices are (-10,-3), (2,-3), and (2,2). write the exact answer. do not round. itial height at Two balls are thrown vertically from the same Ball I is launched upward with an initial velocity voj = + 10m/s. Ball 2 is launched downward with an initial velocity vo2 = - 10m/s. same The distance between the two balls after I second from the beginning of motion is: Glenda borrowed $4,500 at a simple interest rate of 7% for 3 years tobuy a car. How much simple interest did Glenda pay? the concentration of magnesium inside a cell is 0.26%. the concentration of magnesium in the surrounding fluid is 0.18%. how could the cell obtain more magnesium? evaluate B-( - 1/8) + c where b =2 and c=- 7/4 help me please if you can a. ammonia b. battery acid c.pure waterd. sea water Allison earned a score of 150 on Exam A that had a mean of 100 and a standard deviation of 25. She is about to take Exam B that has a mean of 200 and a standard deviation of 40. How well must Allison score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed. Joan uses the function C(x) = 0.11x + 12 to calculate her monthly cost for electricity. C(x) is the total cost (in dollars). x is the amount of electricity used (in kilowatt-hours).Which of these statements are true? Select the three that apply.A. Joan's fixed monthly cost for electricity use is $0.11.B. The cost of electricity use increases $0.11 each month.C. If Joan uses no electricity, her total cost for the month is $12.D. Joan pays $12 for every kilowatt-hour of electricity that she uses.E. The initial value represents the maximum cost per month for electricity.F. A graph of the total cost for x 0 kilowatt-hours of energy used is a straight line.G. The slope of the function C(x) represents the increase in cost for each kilowatt hour used. Kinetic energy differs from potential energy inA. Kinetic energy can be created or destroyed, while potential energy can not be created and destroyedB. Kinetic energy can be converted into various forms of energy, whereas potential energy can only be transformed into heat energy.C. Kinetic energy is energy of a moving object, whereas potential energy is energy possessed by matter as a result of its location or structure.D. Kinetic energy is stored energy that has the capacity to do work, and potential energy is the energy of motion. Find the value of x.(8x - 11)5x(2x+6) What is the transformation of both y=--4x, and y=-4x? I've looked everywhere to try and find it, but the internet is not helping! Chapter 3 The Great GatsbyWhat is the mood or atmosphere of this setting and scene? How do descriptive details and images contribute to that mood? How would you describe Gatsbys party guests and their interactions? What evidence from the text supports your interpretation? A manager that views most employees as motivated to do work is operating under blank______, while a manager that views most employees as lazy, is operating under blank______. What is the smallest degree of rotation that will map a regular 96-gon onto itself? ___ degrees corals host dinoflagellate symbionts called , which, when expelled, result in coral bleaching. because neither the coral nor its symbiont can survive alone, this relationship is called Eduardo's school is selling tickets to a play. On the first day of ticket sales the school sold 4 adult tickets and 9 child tickets for a total of $108. The school took in $114 on the second day by selling 10 adult tickets and 3 child tickets. What is the price each of one adult ticket and one child ticket? Miss Young is bringing cookies and brownies in for one of her classes. She has to bringa total of 26 desserts. She pays $0.65 for each cookie and $0.90 for each brownie. business historians typically divide the history of american business into five distinct eras. during this specific era, power shifted to the consumer, more focus was put on the consumer, and many products and services began to flood the market. which era fits this description?