Please Help. Will mark brainliest for full explanation Image is attached.
Several bakeries in a town were asked the price for different amounts of donuts at their shop. The scatter plot with a line of best fit was created from the data gathered. Part A: Estimate the correlation coefficient. Explain your reasoning for the given value. (4 points)
Part B: How many positive and negative residuals are there? Explain your reasoning. (3 points)
Part C: State the point with the largest absolute value residual and interpret the point in terms of the context of the data. (3 points)

Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.

Amount A = P(1+rt)

6000 = p(1+4*3)

6000 = p13

p = 6000/13

p = 461.5

Amount A = P(1+9/2*3)

2000 = P*27/2

P = 2000*2/27

P = 148.1

Therefore Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.

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Answer:

  f^-1(x) = √((y +9)/3)

Step-by-step explanation:

You want the inverse function of y = 3x² -9.

The given relation will only have an inverse function if its domain is restricted to values x ≥ 0.

We can find that inverse function by interchanging the variables x and y, then solving for y:

  x = 3y² -9

  x +9 = 3y² . . . . . . . add 9

  (x +9)/3 = y² . . . . . . divide by 3

  y = √((x+9)/3) . . . . . take the square root

The inverse function is f^-1(x) = √((x +9)/3).

Answer:

Step-by-step explanation:

my answer is attached in the photo below

Answer:

Don't know if i did it right but i think it is:

a=14

b=6

c=5

Looking at the triangles, the values of x in the figures are

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

figure in 14)

The solution for x

8 / (x + 5) = (x - 9) / 21

21 * 8 = (x + 5)(x - 9)

168 = x^2 - 4x - 45

x^2 - 4x - 213

x = 16.73 or -12.73

using the positive value

x = 17

figure in 15)

The solution for x

(x + 3) / 15 = 4 / (3x + 1)

cross multiplying

(x + 3)(3x + 1) = 15 * 4

3x^2 + 10x + 3 = 60

3x^2 + 10x - 57 = 0

x = 3 OR -6.333

taking the positive value

x = 3

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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)]

Answer:

A base

Step-by-step explanation:

its not an acid bc a ph level of 14 means is has a strong base.

Answer:

WITDTH=7

Step-by-step explanation:

width = w

length = w + 2.

w(w + 2) = 63 (area)

quadratic equation in w:

w2 + 2w = 63

w2 + 2w - 63 = 0

FACTOR:

(w + 9)(w - 7) = 0

  9-7=2

   9x(-7) = -63

Two possible solutions:

w + 9 = 0 (solution w = -9) or

w - 7 = 0 (solution w = 7)

The width must be positive, the answer is 7 units.

length = w+2

length  = 9

Answer:

42

Step-by-step explanation:

6+8=14x3=42

42/3=14-6=8

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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The expression x³ + 3x² - 10x + 24 cannot be factorized

From the question, the polynomial is given as

x3+3x2−10x+24

Rewrite the polynomial properly

So, we have the following representation

x³ + 3x² - 10x + 24

Next, we represent the above expression on a graph

From the attached graph, we can see that the polynomial expression only cross the x-axis at x = -5.569

This implies that the expression cannot be factored

So, we cannot further rewrite the given expression

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The equation of a line parallel to x - 4y = 36 is x - 4y = 16.

If the two lines are parallel then their slope must be equal. Two parallels lines have different intercepts but same slope. The slope intercept form of a line is y = mx + c. Where m is the slope and c is the intercept.

Now, writing the given equation in slope-intercept form,

x - 4y = 36

4y = x - 36

[tex]y=\frac{1}{4}x-9[/tex]

By comparing it with slope-intercept form, we get

[tex]m=\frac{1}{4}[/tex]

c = -9

Now, Finding the equation of line passing through (-4,-5) with slope as [tex]\frac{1}{4}[/tex],

[tex]m=\frac{y-y_1}{x-x_1} \\\\\frac{1}{4}=\frac{y-(-5)}{x-(-4)}\\\\ \frac{1}{4}=\frac{y+5}{x+4}\\x+4=4y+20\\x-4y=16[/tex]

The equation of parallel line is x - 4y = 16.

Hence, the equation of a line parallel to x - 4y = 36 is x - 4y = 16.

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The measure of angle1 in the given rectangular figure is 64° .

In the question ,

it is given that ,

the one of the angle is 116° .

From the figure below ,

we can see that

the dashed line is a transversal to AB and CD ,

the angles on the line AB form a linear pair ,

So , angle2 + 116° = 180°

angle2 = 180° - 116°

angle2 = 64°

Since the side panel of the podium is cut from rectangular piece

the figure is representing two parallel lines , cut by the transversal .

By the property of transversal that alternate interior angles are equal in measure ,

angle 1 = angle 2

hence , angle 1 = 64° .

Therefore , The measure of angle1 in the given rectangular figure is 64° .

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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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Answer: 31%

Step-by-step explanation:

Out of the students that receive financial aid, 1879 out of the 6101 total students are graduates.

So, the probability is [tex]\frac{1879}{6101} \approx 31\%[/tex]

⇒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

Answer:

120

Step-by-step explanation:

Answer:

400 minutes

Step-by-step explanation:

25 % *4 =100 %

100*4=400 minutes

Answer:

  (B)  A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

Step-by-step explanation:

You want a description of the graph showing the proportional dependency of cost on weight if a couple of (weight, cost) points are (25, 22.25) and (41, 36.49).

The independent variable is weight, so the x-axis will be labeled Weight (in pounds). The dependent variable is cost, so the y-axis will be labeled Cost (in dollars). The two given points can be plotted on the graph.

The description from the available answer choices is ...

A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

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The probability that both are defective when a customer selects 2 cartridges at random from the shelf will be 0.00766.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The probability of choosing defective cartridge=7/80

So, the probability of choosing 2 defective cartridge=(7/80)²

=0.00765625

=0.00766

When a customer randomly chooses two cartridges from the shelf, the likelihood that both are flawed is 0.00766.

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Answer:b=2/3 if u don't need an answer that is not a fraction or decimal u can write 17. as a whole number.

Step-by-step explanation:

Check answer below in the image.

Answer:

x=-10

Step-by-step explanation:

2(x+3) = 2x+6

2x+6=x-4

2x+6-6=x-4-6

2x=x-10

2x-x=x-10-x

x=-10

Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

A discount store sells 5.5 - ounce jars of fish in bundles of 5. A bundle of 5 jars costs $10.45. Then the unit rate is given as,

⇒ ($10.45 x 5) / (5.5 x 5 x 5)

⇒ $0.38 per ounce

The store likewise sells 4.5-ounce jars of similar fish in bundles of 8. A bundle of 8 jars costs $12.96. Then the unit rate is given as,

⇒ ($12.96 x 8) / (4.5 x 8 x 8)

⇒ $0.36 per ounce

The store sells 3.5 - ounce jars in bundles of 4 jars for $4.76. Then the unit rate is given as,

⇒ ($4.76) / (3.5 x 4)

⇒ $0.34 per ounce

Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.

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Answer:16 minutes

Step-by-step explanation:

64 errors / 8 errors = 8

8 x 2 minutes = 16 minutes

If Helen wants to find the value. the upper bound for Helen's value of TC is 3.123 and lower bound is 3.092.

Upper bound

405 = 405.999

130 =130.99

Lower bound

405 = 405.001

130 =130.01

Now let find the upper and lower bound

Upper bound = 405.999/130.01

Upper bound =3.123

Lower bound = 405.001 /130.99

Lower bound = 3.092

Therefore the upper bound is 3.123.

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Answer:

slope of the line = 1

Step-by-step explanation:

i hope i helped