A local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 per box, plus the customer has an additional $5 fee per order. C(x) represents the total cost and x represents the number of boxes, which can be modeled by the function below.

A piecewise function c of x in two pieces. The function is defined by part 1, which is 3 point 75 times x for x greater than 6, and part 2, which is 3 point 25 times x plus 5 for x is greater than or equal to 6.

Predict the cost of an order with 6 boxes.

$14.50
$22.50
$24.50
$27.50

Answer:

14.

Step-by-step explanation:

The interquartile range (IQR) contains the second and third quartiles or the middle half of your data set.

Please give brainliest, will be appreciated.

Answer:

The interquartile range (IQR) measures the spread of the middle half of your data.

Answer:

Step-by-step explanation:

Let's find the equation in the form of y=mx+b that fits the data.  m is the slope and b is the y-intercept (the value of y when x=0).  Slope, m, the the Rise/Run of the line.  It can be found by taking any two points from the table.  Let's choose (0,15) and (2,35), although any two will work.

x    y

0   15

1    25

2   35

3   45

4   55

(0,15)   (2,35)

The Rise is the change in y:  (35 - 15) = 20.

The Run is the change in x for the same points:  (2 - 0) = 2

The slope is the Rise/Run = (20/2) or 10.

The equation has the form y = 10x + b.

Let's find b.  Just enter any of the points in the above equation and solve for b.  I'll choose (3,45).

  y = 10x + b

  45 = 10*(3) + b

b = 45 - 30

b = 15

[Note:  since b is the value of y when x equals zero, we really didn't need to calculate b as we just did.  There is a data point already that tells us the value of y when x = 0:  (0,15)]

We are 90% certain that the average number of  hamsters per litter is between 7.1077 and 8.3323.

A confidence interval is a range of values that includes a population value with a high degree of certainty. When a population mean falls between an upper and lower interval, it is frequently expressed as a percentage. The confidence level is the long-run proportion of corresponding CIs that contain the parameter's true value. For example, 95% of all intervals computed at the 95% level should contain the true value of the parameter.

Given, n=47

[tex]\bar{x}[/tex]=7.72

s=2.5

c=90%=0.90

To find the t-value, look in the row that starts with degrees of freedom.

df=n-1

df=47-1

df=46>45 and in the column with c=90% in the table

=1.679

Now, the margin of error is then:

E=[tex]t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}=1.679\times \dfrac{2.5}{\sqrt{47}}\approx 0.6123[/tex]

The confidence interval's boundaries are thus:

[tex]\overline{x}-E[/tex]=7.72-0.6123=7.1077

[tex]\overline{x}+E[/tex]=7.72+0.6123= 8.3323

The average number of hamsters per litter is between 7.1077 and 8.3323, and we are 90% certain of this.

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The length of the table is 1.51 meters.

Allan is measuring his dining room table to make a tablecloth. The table is 0.45 meter longer than it is wide. The width of the table is 1.06 meter. We need to find out the length of the table.

Let the length of the table be represented by the variable "L". In the context of a mathematical problem or experiment, a variable is a quantity that may vary. The length of the table is the sum of the width of the table and the difference between the two quantities.

L = 1.06 + 0.45

L = 1.51

Hence, the length of the table is 1.51 meters.

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Answer:

because there’s additional numbers to the equation

Step-by-step explanation:

it differs because of the -3 it’s -3 down

This measure of effect is influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also the prevalence of exposure in the population.

As stated, population etiology fraction is a measure of the disease rate in a population attributable to the exposure of interest. This is a measure that can be influenced only by the exposure caused due to a particular disease. Hence it can be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also with the prevalent of the exposure in the population.

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The number of liters of fuel required for the vehicle to travel 1, 428 kilometers is 5. 67

Inverse variation can be defined as the relationship between two variables, so that if the value of one of the variable increases the value of the other variable decreases.

Example: If a varies inversely as b

This can be represented as;

a ∝ 1/b

Then,

ab = k

Where k is the proportionality constant

From the information given, we have that;

x ∝ 1/ y

Then,

xy = k

Substitute the values

476 (17) = k

k = 8092

If x = 1428 and k = 8092

Let's determine the value of y

y = k/x

y = 8092/1428

y = 5. 67 liters

Hence, the value is 5. 67 liters

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Answer:

We can do it by using the format tab

Step-by-step explanation:

We can change the background of a group of cells by selecting the cell or range of cells we want to format. We should Click Home > Format Cells dialog launcher, or press Ctrl+Shift+F from the keyboard. Then on the Fill tab, under Background Color, we pick the color we want. To use a pattern with two colors, we pick a color in the Pattern Color box, and then pick a pattern in the Pattern Style box. In this tab we can also select gradient or single color

Answer:

The line meeting the criteria is y = (1/2)x + 6 does not match any of the answer options.

Step-by-step explanation:

Let's use the slope-intercept form of a linear equation:  y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).  We are given the slope, (1/2), so let's put that into the equation:

   y = (1/2)x + b

It is the value we choose for b that will make the line pass through point (6,-3).  We can determine that value by entering the given point in the equation and then solving for b:

y = (1/2)x + b

-3 = (1/2)*(6) + b for point (6,-3)

-3 = 3 + b

b = -6

The full equation is thus y = (1/2)x + 6

See the attached graph.

===

The `list of options doesn't have an equation that matches this conclusion.  The first two aren't even equations.  Assuming for the moment they are mistyped and should have an "=" sign after the y, we will change the list as follows:

Original   New

y-2x+6     y=2x+6

y-1x-6       y=1x-6

y=2x-3     y=2x-3

y=x+3      y=x+3

The slopes are either +1 or +2.  None have the required slope of (1/2)

The expression that represents the change in April's score from the start to the end of the game is 355 - 150 = 205.

April played a game. The score at the beginning of the game was 150 points. After twenty minutes, her score was 355 points. We have to determine the change in her score from the beginning of the game to the end of the game.

Let the change in the score be represented by the variable "C". The change in her score is calculated below. The change in the score is the difference between the final and the initial score of April.

C = 355 - 150

C = 205

Hence, the change in her score from the beginning of the game to the end of the game is 205 points.

The complete question is given below.

At the beginning of the game, April had a score of 150 points. April played for another 20 minutes, and her final score was 355. Write and then evaluate a subtraction expression to determine the change of her score from the beginning of the game to the end of the game.

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In the given rectangle, the values of f and g are the same that is 2√6cm.

So, the values of f and g are:

Now, calculate the sides as follows:

Formula: A = s²

So, each side of APQD measures  2√6cm.

Then,

Therefore, in the given rectangle, the values of f and g are the same that is 2√6cm.

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The function's y = 3(x + 5)² +11 width will be narrower.

In mathematics, a function from a set x to a set y assigns each element of x precisely one element of y. The subsets x and y are referenced to as the function's domain and codomain, correspondingly. A relationship between a number of inputs and one output per input is referred to as a function. Simply described, a function is an association between inputs in which each piece of data is connected to exactly one output. There is a domain and a codomain, or range, for every function. A function is a type of rule that produces one output from one input. y = x² is a good illustration of this. Any information for x yields a single output for y.

A parabola is made narrow by a large positive value of a and wide by a large positive value of a that is close to 0.

Compare the given equation y = 3(x + 5)² + 11 with y = x² + c

So, a = 3

Therefore, the function will be narrower.

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The number of general public and students are 175 and 215 respectively.

Based on the information given:

Let p = general public

Let s = students/staff

390 people attended the concert. This will be:

p + s = 390 .... i

Tickets sold for $8.00 to the general public and for $5.50 for students and staff. Ticket sales brought in $2,582.50. This will be:

8p + 5.5s = 2582.5 .... ii

From equation i

p = 390 - s

8p + 5.5s = 2582.5 .... ii

8(390 - s) + 5.5s = 2582.5

3120 - 8s + 5.5s = 2582.5

Collect like terms

- 8s + 5.5s = 2582.5 - 3120

-2.5s = - 537.5

Divide

s = 537.5 / 2.5

s = 215

Students = 215

Note that p + s = 390

p + 215 = 390

P = 390 - 215

P = 175

Public = 175

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Answer:

1. y=2x+3

2. y=5x+3

Step-by-step explanation:

1. to find equation of the line we need the gradient and y-intercept

gradient=2

y=mx+c where m is gradient,x and y are coordinates and c is the y-intercept

input given coordinates and gradient in the equation to find c:

9 = 2(3)+c

9 = 6+c

9-6 = c

c = 3

to write the equation we only input gradient and y-intercept:

y=2x+3

2. to find the equation of the line we need the gradient and y-intercept

gradient=5

y=mx+c where m is gradient,x and y are coordinates and c is the y-intercept

input given coordinates and gradient in the equation to find c:

8 = 5(1)+c

8 = 5+c

8-5 = c

c = 3

to write equation we only input gradient and y intercept:

y=5x+3

Answer:

400 minutes

Step-by-step explanation:

25 % *4 =100 %

100*4=400 minutes

Answer: 13

Step-by-step explanation: 5, 12, and 13 is a Pythagorean Triple so if 12 were replaced with 13 in the word problem the answer would be 12 because all these numbers "travel" together.

Tony would require 13 meters of garland to reach from one corner to the opposite corner of the rectangular ceiling.

The ceiling of the ballroom is rectangular in structure.

The dimensions of the rectangle are 12 by 5 meters.

So we have to find the length of the diagonal of the ceiling which is the length from one corner to the other.

We will use Pythagoras theorem to calculate the length of the diagonal.

12² +5 ² = D²

or, D² = 144 + 25

or, D =√169

or, D = 13

Pythagoras' Theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares on the other two sides. The Perpendicular, Base, and Hypotenuse are the names of the three sides of this triangle.

The hypotenuse in this case is the longest side because it is located across from the 90° angle. A right triangle's positive integer sides are squared to produce a Pythagorean triple equation.

Hence Tony will need 13 meters of garland.

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Answer:

Step-by-step explanation:

1. Put the variable as numbers in the computation. m=6 and n=6

SO:

6+6*6

2. Compute using Pemdas( Parentheses, exponets,multiplication, division, addition, subtraction)! Or order of operations!

6+36= 42

Answer: 42

The cycle in order is D, E, F, B, C then A.

Define life cycle.

An organism goes through a series of shape changes in a biological life cycle before reverting to its original state. The notion contrasts with those of life history, development, and ontogeny in that it emphasizes renewal. Life cycles are common to all animals and plants.

The stages, which frequently entail beginning as a seed, egg, or live birth, then growing up and reproducing, are best shown visually using diagrams. Life cycles keep repeating themselves.

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Answer:

P=(2.25 x 10^4)(1 + 0.051)(1 +0.051)

Step-by-step explanation:

The arrangement of the points in increasing order of the slopes are (27, 2) and (243, 18),  (63, 9) and (84, 12), (45, 15) and (60, 20), (27, 12) and (72, 32), (15, 30) and (20, 40),  (12, 32) and (18, 48), (18, 63) and (24, 84)

Slope is defined as the change in y divided by the change in x. Mathematically:

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

To arrange the pair of points. You need to find the slope:

For (15, 30) and (20, 40):

x1 = 15, y1 =30 and x2 =20, y2=40

slope = (40-30)/(20-15) = 10/5 =2

For (12, 32) and (18, 48):

slope = (48-32)/(18-12) = 16/6 = 2.67

For (27, 12) and (72, 32):

slope = (32-12)/(72-27)  = 20/45 = 0.44

For (45, 15) and (60, 20):

slope = (20-15)/(60-45) = 5/15 = 1/3 = 0.33

For (27, 2) and (243, 18):

slope = (18-2)/(243-27) = 16/216 = 0.07

For (18, 63) and (24, 84):

slope = (84-63)/(24-18) = 21/6 = 7/2 = 3.5

For (63, 9) and (84, 12):

slope = (12-9)/(84-63) = 3/21 = 1/7 = 0.14

Therefore, the pairs of points in increasing order of the slopes are (27, 2) and (243, 18),  (63, 9) and (84, 12), (45, 15) and (60, 20), (27, 12) and (72, 32), (15, 30) and (20, 40),  (12, 32) and (18, 48), (18, 63) and (24, 84)

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The sale price of an item normally priced at £90 is £67.5            

What is the percentage?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100.

Given :

A shop is having a sale. all items are reduced by 25%.

To Find:

Work out the sale price of an item normally priced at £90.

Price of an item = £90

Price is reduced by 25%

Reduction in price = 25%*90=25/100= 22.5

Reduced price = 90-22.5=67.5

Hence, the sale price of an item normally priced at £90 is £67.5                              

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Answer:

120

Step-by-step explanation:

Answer:

Step-by-step explanation:

my answer is attached in the photo below

Answer:16 minutes

Step-by-step explanation:

64 errors / 8 errors = 8

8 x 2 minutes = 16 minutes

The p-value for a Z of 1.34 for a two-tailed test is 0.18025. Since the worth of p is greater than 0.05, we has fail to reject the null hypothesis.

What is hypothesis testing?

In hypothesis testing, we'll find to know whether we should reject or fail to reject some hypothesis.

To hold the decision, we should always compare the p-value in the test statistic to the significance level we have chosen to use the test. If the p-value is a smaller amount than the significance level, we'll reject the null hypothesis. Otherwise, we'll fail to reject the null hypothesis.

This calculations will tells you whether you ought to reject or fail to reject a null hypothesis based on the value of the test , the format of the test are going to be (one-tailed or two-tailed), and therefore the significance level you have chosen to use.

One-tailed or two-tailed ?

Value of the test statistic

1.34

Decision Rule say that : fail to reject the null hypothesis

The p-value for a Z of 1.34 for a two-tailed test is 0.18025. Since the worth of p is greater than 0.05, we has fail to reject the null hypothesis.

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⇒The volume is given and the height is give. In the equation [tex]V=\pi r^{2} h[/tex]plug in the known value V which is equal to [tex](160\pi )m^{3}[/tex] and h which is equal to 8m and solve for r which is the radius

⇒[tex]160\pi =\pi r^{2} *(8)\\\frac{160\pi}{\pi } =\frac{\pi r^{2} *(8)}{\pi } \\160=8r^{2} \\8r^{2} -160=0\\8(r^{2} -20)=0\\\frac{8(r^{2} -20)}{8} =\frac{0}{8} \\r^{2} -20=0\\(r+\sqrt{20} )(r-\sqrt{20} )=0\\r+\sqrt{20} =0\\or\\r-\sqrt{20} =0\\\\r=2\sqrt{5} \\or\\r= -2\sqrt{5}[/tex]

⇒Note radius is a distance therefore it cannot be negative meaning radius r is equal to [tex]\sqrt{20} =2\sqrt{5}[/tex]m

expressed in decimal is 4.5m

The x-intercept of the given graph of the function is (10,0) while the y-intercept is (0,15).

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given equation,

y = (-3/2)x + 15

At y-intercept,

x = 0 so, y = 0 + 15 = 15 thus, (0,15)

At x-intercept

y = 0

0 = (-3/2)x + 15

x = 10 thus, (10,0)

Hence "The x-intercept of the given graph of the function is (10,0) while the y-intercept is (0,15)".

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For the complete question and graph image attached below,

Answer: A 22-ounce package costs $7.26 is best to buy

Step-by-step explanation:

A 9-ounce package costs $3.15 = 35 cents an ounce

A 12-ounce package costs $4.44 = 37 cents an ounce

A 22-ounce package costs $7.26 = 33 cents an ounce making it the cheapest by ounce