Dan has a list of the scores of all his
math tests and quizzes during the
year. What are the mode and median
of the data set?
88, 79, 71, 75, 53, 88
a. mode = 88, median = 88
b. mode = 88, median = 77
C. mode = 77, median = 77
d. mode = 77, median = 88

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y-1=\stackrel{\stackrel{m}{\downarrow }}{2}(x-4)\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line with a slope of 2 and that it passes through (4 , 1)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{4})[/tex]

kinda twins.

Step-by-step explanation:

[tex]4 {x}^{2} -5x-6=0 [/tex]

Solve using quadratic formula

Solution:

We know that

[tex] \rm \: Quadratic \: Formula = \cfrac{ - b± \sqrt{ {b}^{2} - 4(ac) } }{2a} [/tex]

ATQ,here,

Substitute the values into the quadratic formula.

[tex]\rm\implies x = \cfrac{5 ± \sqrt{( - 5) {}^{2} - 4 \times (4 \times - 6) } }{2 \times 4} [/tex]

[tex]\rm\implies{x} = \cfrac{5 ± \sqrt{25 - 4 \times (24) } }{2 \times 4} [/tex]

[tex] \implies \rm \: x = \cfrac{5 ± \sqrt{25 - 96} }{8} [/tex]

[tex] \implies \rm \: x = \cfrac{5± \sqrt{121} }{8} [/tex]

[tex] \implies \rm \: x = \cfrac{5± \sqrt{11 \times 11} }{8} [/tex]

[tex] \implies \rm \: \: x = \cfrac{5±11}{8} [/tex]

[tex]\boxed{x = 2}[/tex]

OR

[tex]x = \boxed{- \cfrac{3}{4}} [/tex]

Answer:

From the given data:

[tex]\large\begin{array}{| c | c | c |}\cline{1-3} \sf No.\:of\:red\:dresses & \sf Tally & \sf Frequency\\\cline{1-3} 1 & \sf llll & 4 \\\cline{1-3} 2 & \sf llll & 4 \\\cline{1-3} 3 & \sf llll & 4 \\\cline{1-3} 4 & \sf ll & 2 \\\cline{1-3} 5 & \sf ll & 2 \\\cline{1-3} 6 & \sf l & 1 \\\cline{1-3} 7 & \sf l & 1 \\\cline{1-3} 8 & \sf ll & 2 \\\cline{1-3} 9 & \sf l & 1 \\ \cline{1-3}\end{array}[/tex]

More than half of the students own the least number of red dresses, so the data is positively skewed (skewed to the right).

As the number of red dresses owned increases, the number of students owning this number of red dresses generally decreases.

Answer:

5.04 seconds

Step-by-step explanation:

According to the graph :

Observe the end points on x axis of the parabola

They are

Time is x axis

So total time

#1

Yes

#2

No

#3

No

#4

No

Answer:

(-14, 12) and (5, 12)

Step-by-step explanation:

From inspection of the points given, we can see that all pairs of points share the same y-values.

Therefore, each pair of points are on the same horizontal line.

To find the distance between the points, simply find the difference between the x-values.

Given points:  (-14, 12) and (5, 12)

⇒ Difference between x-values = 5 - (-14) = 19 units

Given points:  (-5, 19) and (12, 19)

⇒ Difference between x-values = 12 - (-5) = 17 units

Given points:  (-20, 5) and (1, 5)

⇒ Difference between x-values = -20 - 1 = -21 = 21 units

Given points:  (14, 12) and (5, 12)

⇒ Difference between x-values = 14 - 5 = 9 units

The sides of the triangle are (d) 12√2, 12√2, 24

The given parameters are:

In a 45-45-90 degree angle triangle, we have:

Hypotenuse = Opposite√2 and Hypotenuse = Adjacent√2

This means that:

Opposite =Adjacent

So, we have:

24 = Adjacent√2

Divide both sides by √2

Adjacent = 24/√2

Evaluate

Adjacent = 12√2

This means that:

Opposite = 12√2

Hence, the sides of the triangle are (d) 12√2, 12√2, 24

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The compositions R090 °ry and ry ° R090 are not equivalent

The compositions are given as:

R090 °ry and ry ° R090

The transformation R090 °ry means a rotation of 90 degrees followed by a reflection across the y-axis

i.e.

(x, y) => (y, -x) => (-y, -x)

The transformation ry ° R090 means a reflection across the y-axis followed by a rotation of 90 degrees

(x, y) => (-x,y) => (y,x)

See that the end results of both transformations are not the same

Hence, the compositions R090 °ry and ry ° R090 are not the same

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Answer

90*

Step-by-step explanation:

Answer:

s = 30

Step-by-step explanation:

The three angles lie on a line.

The sum of angles on a line are supplementary, meaning they add up to 180 degrees.

Answer: 5

Step-by-step explanation:

Since [tex]\overline{GH} \parallel \overline{DE}[/tex], by the corresponding angles theorem, [tex]\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED[/tex]. This means [tex]\triangle FGH \sim \triangle FDE[/tex] by AA.

As corresponding sides of similar triangles are proportional,

[tex]\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5[/tex]
However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is 5

Answer:

0.55 hope it will help you

Based on the fact that there is power outage, it  is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast.

This is known to be when there is no electrical power due to unforeseen reasons.

Based on the fact that there is power outage, it  is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast and thus things on it may get bad easily. The right thing to do is to leave it closed.

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Answer:

2√3

√2

x

√x-1

are the answers

The complete question is

" Work out the surface area of this cylinder if the diameter of the cylinder is 8 cm and height is 16.8 cm."

The surface area of the cylinder of diameter 8 cm and height 16.8 cm would be 547.616 cm sq.

The surface area of the cylinder of the radius of the base r and the height h,

A = 2πr ( r + h)

We have been given as

diameter = 8 cm

Height = 16.8cm

The radius = 8/2 = 4cm

The surface area of the cylinder

A = 2πr ( r + h)

A = 2 x 3.14 x 4 ( 4 + 16.8)

A = 25.12 (21.8)

A = 547.616 cm sq.

Hence, The surface area of the cylinder of diameter 8 cm and height 16.8 cm would be 547.616 cm sq.

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The length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.

In mathematics, a scale factor is the proportion of related dimensions of an object to a description of that object.

Given that:-

The length and width of the outside edge will be:-

The sides are Dilated by factor 3 so the edges of the rectangle will be calculated as;-

Length = 3 ( 2x+4 ) = 6x + 12

Width   = 3 ( 3x+2 ) = 9x + 6

Therefore the length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.

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The inference is that the results of the study are statistically significant.

For group 1, we have:

Mean = 1.7

For group 2, we have:

Mean = 3.3

The mean of group 2 is greater than group 1, and the mean difference is:

Difference = 3.3 - 1.7

Evaluate

Difference = 1.6

Based on the sample values, the mean difference of 1.6 is significant.

Hence, the inference is that the results of the study are statistically significant.

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610

Step-by-step explanation:

The number of ways can the committee be organized will be 2220075. Then the correct option is 3.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

The prom committee is made up of 8 boys and girls.

If there are 12 boys and 15 girls in the group to pick the committee from.

Then the number of ways can the committee be organized will be

Then the number of ways is given by the combination formula. Then we have

Number of ways = ¹²C₀ x ¹⁵C₈ + ¹²C₁ x ¹⁵C₇ + ¹²C₂ x ¹⁵C₆ + ¹²C₃ x ¹⁵C₅ + ¹²C₄ x ¹⁵C₄ + ¹²C₅ x ¹⁵C₃ + ¹²C₆ x ¹⁵C₂ + ¹²C₇ x ¹⁵C₁ +¹²C₈ x ¹⁵C₀

Number of ways = 6435 + 77220 + 330330 + 660660 + 675675 + 360360 + 97020 + 11880 + 495

Number of ways = 2220075

Thus, the correct option is 3.

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Answer:

I believe the answer is 240

Answer:

Step-by-step explanation:

To determine the number of combinations of 3 playing cards from a standard 52-card deck, we can use the formula for combinations, which is given by:

C(n, k) = n! / (k!(n-k)!)

Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).

Plugging in the values:

n = 52 (total number of cards in the deck)

k = 3 (number of cards chosen)

C(52, 3) = 52! / (3!(52-3)!)

Calculating the factorial terms:

52! = 52 x 51 x 50 x ... x 3 x 2 x 1

3! = 3 x 2 x 1

(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1

Simplifying the equation:

C(52, 3) = 52 x 51 x 50 / (3 x 2 x 1)

Cancelling out the common factors:

C(52, 3) = (52 x 17 x 25) / (3 x 2 x 1)

C(52, 3) = 22,100

Therefore, there are 22,100 combinations of 3 playing cards that can be chosen from a 52-card deck.

Answer: the on to the bottom left

Step-by-step explanation: c would be right because you have a positive slope

Answer:

table a represents functions table b does not

Answer:

Domain: x < 5

Range: all numbers, -∞, ∞

This is because the problem will be able to be solved with multiple solutions as long as there are no specific values assigned to x. The problem will have a solution from a range of negative infinity to infinity, meaning every number or solution you can think of.

Answer:

You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:

1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?

2. What role does creativity play in "The Bat-Poet"?

3. How does the character of Squeaky change over the course of "Raymond's Run"?

4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.

You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.

• Submit completed pre-writing and outline documents.

• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.

• Use transitions appropriate to the pattern of organization.

• Use vocabulary to create tone and voice.

• Cite primary source (quotation).

• Submit completed revision checklist.

• Vary sentence structure.

• Create sentences with parallel structures.

• Use technology in the writing process.

Step-by-step explanation:

===========================================

Work Shown:

Applying the law of cosines

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 8^2 + 5^2 - 2*8*5*cos(88)

c^2 = 64 + 25 - 80*cos(88)

c^2 = 86.2080403

c = sqrt(86.2080403)

c = 9.2848285

c = 9

Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.

Answer:

Multiplying 10 by pi will produce an irrational number.

Step-by-step explanation:

10 and 10 are both rational, 10 and 10.5 are both rational, 10 and √4 are both rational (I researched to double check), leaving 10 rational and 3π irrational, meaning that the answer is B 3π.

Answer:

A.

Step-by-step explanation:

For the x value (6) there are two different output values(y) 5 and 6.

If it's a function then there must be one output value for every input.

Answer:

8626

Step-by-step explanation:

use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting

Answer: 8,626

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition  

Subtraction

Multiplication comes first:

2+ (7x1232)

Next, addition:

2+8624

8626

Hope this helps :)) Brainliest would be appreciated :D

Answer:

No

Step-by-step explanation:

Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Therefore, an equilateral angle can never be obtuse-angled. A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute.

Answer:

false

Step-by-step explanation: