the amount of time it takes hugo to solve a rubik's cube is continuous and uniformly distributed between 4.5 minutes and 12.5 minutes. what is the probability that it takes hugo less than 8 minutes to solve a rubik's cube?

(C) SSA is not a requirement for triangle congruence.

Two triangles are said to be congruent if all three corresponding sides and all three corresponding angles have the same size.

We can move, flip, twist, and turn these triangles to produce the same effect.

When relocated, they are parallel to one another.

Two triangles are congruent if they satisfy all five conditions for congruence.

Right angle-hypotenuse-side (RHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SSS) are the four terms (RHS).

We know that SSA is not the criteria for the congruence of the triangles.

Therefore, (C) SSA is not a requirement for triangle congruence.

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On solving the provided question, An expression that finds the sum of x and y => X + Y

a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples -  2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥

We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.

An expression that finds the sum of x and y -

=> X + Y

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The expected number of defective shirts produced by the factory on Friday is of:

42 shirts.

The expected number of defective shirts produced by the factory on Friday is obtained as the multiplication of the sample proportion by the total number of shirts produced on Friday.

The manager of a clothing factory checks a random sample 500 shirts for defects he finds that 8 are defective, hence the sample proportion is given as follows:

p = 8/500 = 0.016.

The factory produces 2625 shirts on Friday, hence the expected number of defective shirts is given as follows:

E(X) = 0.016 x 2625 = 42 shirts.

The problem is incomplete and could not be found on any search engine, hence we suppose that it asks for the expected number of defective shirts produced by the factory on Friday.

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Answer:

Step-by-step explanation:

The correct option is A 6

×

4 = 24

Closure property of multiplication for whole numbers states that product of two whole numbers a and b is always a whole number c.

Only options B and C have a multiplication sign. Of them, option B is of the form a

×

b = b

×

a

So 6

×

4 = 24 is an example for closure property of multiplication.

Answer:

$72 and $74

Step-by-step explanation:

Let the cheaper ball cost x.

x + x + 2 = 146

2x = 144

x = 72

x + 2 = 74

Answer: $72 and $74

The values that make v ≥ 1 inequality true are 2, 3, 4, 5....

What is inequality in mathematics?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

The inequality is given as:

v ≥ -1

The values of c for which the given inequality → v ≥ -1 is true will belong to the set (say A) -

A = [-1, - ∞)

Therefore, we have to select all numbers which fall in this set. The numbers are

-1, 0, 1, 2, 3,....

Rewrite properly as:

v ≥ 1

The above means that the true values of v are values greater than 1.

Hence, the values that make v  ≥ 1 inequality true are -1, 0, 1 , 2, 3, 4, 5....

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Answer: m = 3

Step-by-step explanation:

Let pick 2 points ( 0,3) ( 2,9)

Y increased by 6, x increase by 2

Slope is 6/2 = 3

Answer:

Consider the following graph

(a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.)  = (1,3)U(4,6).

(b) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) = (0,1)U(3,4).

(c) Find the open interval(s) on which fis concave upward. (Enter your answer using interval notation.) = (0,2).

(d) Find the interval(s) on which fis concave downward. (Enter your answer using interval notation.) = (2,4)U(4,6).

(e) Find the coordinates of the point(s) of inflection. (x,y)

=  (2, 3), (4, 1)

The graph of the derivative f' of a function fis shown.

(a) on what intervals is f increasing? (Enter your answer using interval notation.) = (0,1)U(3,5)

(b) On what intervals is f decreasing? (Enter your answer using interval notation.) = (1,3)U(5,6)

(c) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.) = 1,3,5

Translation is one of the four types of mathematical transformations that may be applied to a function graph.

(x, y) = (x + a, y + b)

In mathematics, a translation is the up, down, left, or right movement of a form. Because the translated shapes appear to be exactly the same size as the original ones, they are consistent with one another. Just one or more routes have been altered. There is no change in the form because it is just being moved from one location to another.

When the shape is moved towards the left by k units, then replace x with x - k.

When the shape is moved towards the right by k units, then replace x with x + k.

When the shape is moved up by k units, then replace y with y + k.

When the shape is moved down by k units, then replace y with y - k.

Example: What are the new coordinates when the translation (x, y) → (x - 2, y + 3) is applied to the point (2, 5).

Solution:

The coordinates of old point (preimage) are (x, y) = (2, 5). Now, applying the given translation to this point,

x - 2 = 2 - 2 = 0

y + 3 = 5 + 3 = 8

Thus, the coordinates of the translated point (image) are (0, 8).

This was the example of translation.

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The number of tropical fish that this fish tank hold is 5  fish

Given that,

The volume of the fish tank determines how many tropical fish can be kept in an aquarium. The fish tank's inside measures 22 cm, 42 cm, and 50 cm. Water volume needed per fish is 10,000 cubic centimeters.

Dimensions of fish tank :

Length = 22 cm

Width = 42 cm

Height = 50 cm

Volume of fish tank = length x breadth x height

                                = 22 * 42 * 50

                                = 46200 cm³

Each fish requires​ 10,000 cubic centimeters of water.

So, tank will hold number of fishes = 46200 / 10000

                                                          = 4.62

Hence tank will hold 5 fish.

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The coordinate of the reflection about the line y = 9 is thus (7, 4)

Reflection is a transformation in which an object is flipped over a line.

We know that to reflect W(-7, 4) over the line y = 9, the distance of the point W and its reflection from the line y = 9 must be the same.

The distance of point W(-7, 4) from the line y = 9 is d = 9 - (- 7) = 9 + 7 = 15

So, the x - coordinate of the reflection from the line y = 9 is x = 15 - 9 = 7

Since the y - coordinate of the point W, does not change, the coordinate of the reflection about the line y = 9 is thus (7, 4)

So,  the coordinate of the reflection about the line y = 9 is thus (7, 4)

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Answer:

Hi

Step-by-step explanation:

I am just reply to see if i really understand that problem

Let's assume s the present age of the son, and f the present age of the father.

The age of the son After 10 years is equal to the age of the father before 20 years:

s+10=f+10-20

f=3s

=> s+10=f-10

=> s+10=3s-10

=> 2s=20

=> s=10 and  f=30

By using  Pythagorean theorem ,148  is the length of the side of the slab in inches .

What is the Pythagorean theorem in plain English?

The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together.

                    This is written as a2 + b2 = c2 in the usual algebraic notation.

12 inches = 1 feet  

 feet measurment = 407/12  = 33.91 feet

In triangle ABC

Using PYTHAOREAN THEOREM

               l² + b² = h²

             l = √h²  -  b²

            l =  √407² - 379²

            l = √165649 - 143641

            l = √22008

           l = 148.35

           l ≈ 148

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Considering the figure angle EBF is calculated to 68.75 degrees

Examining the figure and noting the parallel lines

< CBF = < BFE (alternate angels postulates)

< CBF = 42.5

< BFE = 42.5

Triangle BFE is an isosceles triangle given that the two sides are equal the base angles are also equal

Therefore, applying sum of angels of a triangle = 180 we have

< BFE + < FEB + < EBF = 180 (sum of angles of a triangle)

< FEB = < EBF (base angles of isosceles triangle)

let < FEB = x

42.5 + x + x = 180

42.5 + 2x = 180

2x = 180 - 42.5

2x = 137.5

x = 68.75

angle < EBF is solved to be 68.75

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y = 25x + 263 this equation represents how much money she will have, including her saving.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

The saved amount of $263 by Jenna,

and also she earns $25 per day

if x represents the number of days she works,

and let's take y as the total amount she will have.

Then the equation becomes:
y = 25x + 263

Hence, y = 25x + 263 this equation represents how much money she will have, including her saving.

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Answer:

10 times.

Step-by-step explanation:

because 10 x 3 = 30.

If the 3 objects are selected from 30. Then the number of combinations will be 4,060.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

A won and a punctuation mark are used to represent the combination of all positive integers that are less than or equal to the provided positive integer.

The 3 objects are selected from 30. Then the combination is given as,

⇒ ³⁰C₃

⇒ [30!][(30 - 3)! x 3!]

Simplify the expression, then we have

⇒ [30 x 29 x 28 x 27!] / [(27! x 3 x 2 x 1)]

⇒ (30 x 29 x 28) / (3 x 2 x 1)

⇒ 24,360 / 6

⇒ 4,060

If the 3 objects are selected from 30. Then the number of combinations will be 4,060.

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the given proportional relationship y=0.5x with proportional constant is 1/2.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.

So the equation will be y = kx

or y = 0.5(x)

Here proportional constant is 1/2 or 0.5.

For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.

Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.

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4/7

4 ÷ 7 = 4/7

fraction means division

Given that sin 30 degree = 1/2 and cos 30 degree = Squareroot 3/2the value of cot(30°) is  = Squareroot 3

Sine 30°=1/2

Cos 30° = √3/2

Sin 30 degrees has a value of 0.5. Sin 30 can also be expressed in radians as sin /6. The triangle's angles and side length are related by the trigonometric function, often known as an angle function.

The sine function, cosine function, and tangent function are the three trigonometric ratios that are the most well-known.

The ratio of the adjacent side to the hypotenuse is referred to as the cosine function. If the right triangle's angle is 30 degrees, then the cosine value at this angle, or the value of Cos 30 degrees, is expressed as 3/2.

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Answer:

3

Step-by-step explanation:

The angles GBD, GBD and G measures 90 , 90, 52 degree respectively.

GB is the diameter given.

AD is the tangent given.

The tangent makes 90 degree angle with diameter.

hence the angle GBD will be : 90°

Similarly, GBA will also be 90°

The angle GBA is given as 38°

Hence the angle G will be = 90 - 38 =52

All points in a plane that are at a specific distance from a specific point, the centre, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is the separation between any point on the circle and its centre.

The radius must typically be a positive integer. A degenerate situation is a circle with radius equal to zero (one point). Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.

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The sample mean is 5.0833 and the standard deviation is 3.476 and the confidence interval is (2.87, 7.29).

In the given question, a random sample of 12 employees was taken, and the number of days each was absent for sickness was recorded (for a 1-year period).

Using these data to create a 95% confidence interval for the population mean days absent for sickness

2   5   3   7   10   0   6   8   5   11   3   1

a) We have to find the sample mean and the standard deviation (round to two decimal places).

The sample mean;

X = 2+5+3+7+10+0+6+8+5+11+3+1/12

X = 61/12

X = 5.0833

Now the standard deviation

SD = √[{x(1)-X)^2+(x(2)-X)^2…………….(x(12)-X)^2}/N]

After solving using that formula;

SD = 3.476

b) 95% confidence in interval for the population mean days absent for sickness.

Lower Bound = X - t(α/2)*s/√n

Upper Bound = X + t(α /2)*s/√n

where

α /2 = (1 - confidence level)/2 = 0.025

X = sample mean = 5.083333333

t(α/2) = critical t for the confidence interval = 2.20098516

s = sample standard deviation = 3.476108936

n = sample size = 12

df = n - 1 = 11

Thus,

Lower bound = 2.874719086

Upper bound = 7.291947581

Thus, the confidence interval is (2.87, 7.29).

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The right question is:

How healthy are the employees at direct marketing industry? A random sample of 12 employees was taken, and the number of days each was absent for sickness was recorded (for a 1-year period). Use these data to create a 95% confidence interval for the population mean days absent for sickness.

2   5   3   7   10   0   6   8   5   11   3   1

a) Find the sample mean and the standard deviation (round to two decimal places)

b) 95% confidence in interval for the population mean days absent for sickness.

x =3 and y = 4 , these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.

What is perpendicular in triangle?

The sides of a triangle are divided into two equal portions by the perpendicular, which is parallel to the sides drawn from the opposing vertices.

The circumcenter of a triangle is the location where the three perpendicular bisectors of the triangle meet.

A(0, 0), B(0, 8), C(6, 0)

Circumcenter , P(x,y)

AP = BP = CP

AP² = BP²

(x - 0 )² + ( y - 8 )² = ( x- 0)² + ( y - 0 )²

x² + y² + 64 - 16y = x² + y²

 64 - 16y = 0

 16y = 64

     y = 4

BP = CP

BP² = CP²

(x - 0)² + ( y- 0 )² = ( x- 6)² + ( y - 0)²

x² + y² = x² 36 - 12x + y²

       36 - 12x = 0

         12x = 36

           x = 3

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Piecewise linear functions, f(x) as common core algebra, Evaluate each of the following :

(1) f(-3) = 12

(2) f(4) = 2

(3) f(0)= 8

(4) f(3)= 8

A piecewise linear function is a function defined on the interval [xₘᵢₙ ,xₘₐₓ]. A piecewise linear function is a function that consists of straight line segments. This is a piecewise function whose pieces are affine (linear) functions. Graphs of piecewise linear functions consist of line segments and rays.

We have given that,

f(x) = 5x - 3 ; x< -2

= x+8 ; -2≤x< 3

= 1/3(x) + 7 ; x ≥3

we see here that , f(x) is a piecewise linear function defined on interval [-2,3).

Now, we solve the following

(1) f(-3) , here x = -3< -2 i.e we take f(x) =5 x -3

=> f(-3) = 15 - 3 = 12

(2) f(4) , x= 4 >3 so, f(x) = 1/3(x) + 7

=> f(4) = 1/3(4) + 7 = 14/7 = 2

(3) f(3) , x = 3 so, f(x) = 1/3(x) + 7

=> f(3) = 1/3(3) + 7 = 8

(4) f(0) , x = 0 or -2 < x < 3 so, f(x) = x+8

=> f(0) = 0+8 = 8

Hence, we evaluate the given functions.

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Complete question:

piecewise linear functions common core algebra 2 homework answers

5x - 3 x&lt;-2 1. For f (x) = x+8 -25x&lt;3 answer the following questions. -x+7 x23 (a) Evaluate each of the following by carefully applying the correct formula: (1) f ( -3 ) (ii) f (4) (iii ) f ( 3 ) (iv ) f (0 )

It is possible for humans to contract bird flu viruses. There have been outbreaks of two strains, H5N1 and H7N9, that have affected some populations in Asia, Africa, the Pacific, the Middle East, and portions of Europe. Other unusual forms of avian flu that have affected humans in the US have also been reported. The majority of humans who contract bird flu have had direct contact with diseased birds or surfaces that have been contaminated by the saliva, mucus, or droppings of infected birds.

Through their saliva, mucus, and excrement, infected birds spread the bird flu virus. Inhaling the virus or getting it in one's eyes, nose, or mouth can result in human infection with bird flu viruses.

After contacting birds or surfaces that could be contaminated with their saliva, mucus, or feces, whether they are wild or domesticated, avoid touching your mouth, nose, or eyes.

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Answer:

7

Step-by-step explanation:

Hugo will buy car B.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Car A travels 702 miles on 12 gallons of gasoline.

And, Car B travels 873 miles on 15 gallons of gasoline.

Now,

Since, Car A travels 702 miles on 12 gallons of gasoline.

And, Car B travels 873 miles on 15 gallons of gasoline.

Hence, The distance of car A for travels in per gasoline = 702 / 12

                                                                                      = 58.5 miles

And, The distance of car B for travels in per gasoline = 873 / 15

                                                                                  = 56.2 miles

Since, Hugo wants to buy a car with lower fuel consumption.

Clearly, The car B consume lower fuel.

Hence, Hugo will buy car B.

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Answer: Second graph from top.

Step-by-step explanation:

     Slope is written in change in y over change in x. In other words, "rise over run" so the slope of 4/5 means rise 4 units and move 5 units right. The graph that meets this requirement is the second graph, as shown in the attachment.

The distance between the airplanes changing is  -390.

The miles from the airport to Airplane A can be calculated as follows: a = 30 -250t, where t is in hours.

b = 40 -300t

Using the Pythagorean theorem, one can calculate the separation (d) between the aircraft:

d^2 = a^2 + b^2

2dd' = 2aa' + 2bb', and d' = (aa' + bb')/d.

a = 30 -2500 = 30 a' = -250 b = 40 -3000 = 40 b' = -300

d = √(a²+b²) = √(900+1600) = 50

Then, d' = (30(-250) +40(-300))/50 = -19500/50 = -390

At a speed of 390 miles per hour, the space between the aircraft is closing.

The distance between the two planes is going to be the square root of six, therefore if we solve for d, multiply both sides of this equation by the square root of six, we obtain six is equal to negative d, or d is equal to negative six.

For a commercial airliner, separation will typically be at least 3 miles laterally or 1,000 feet vertically (as stated in the question). The 5 mile rule is applied laterally in the enroute environment, at greater operating speeds over 10,000 feet, depending on the kind of radar and distance from the antennae.

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Answer:

Step-by-step explanation:

Assuming that you mean x² + 5x + 6

the factors are (x + 2) and (x + 3).