Mark transferred songs from his computer onto his portable music player. He transferred songs in minutes. How many songs did he transfer per minute?

Answer:

The probability that atleast one ticket labeled 2-6 is drawn is 0.94

Numbered ticket = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Number of draws = 4

Required picks = {2, 3, 4, 5, 6}

Recall :

Probability = required outcome / Total possible outcomes

Probability of choosing a required ticket :

5/10 = 1/2

Therefore, the probability that none of the required tickets is chosen :

(1/2 × 1/2 × 1/2 × 1/2) = 1/16

The probability that atleasr one ticket labeled 2-6 is drawn is :

1 - P(none is chosen) = 1 - 1/16 = 15/16 = 0.9375

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Answer:

12/13

Step-by-step explanation:

A probability is the number of desired outcomes over the total number of outcomes.

Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.

First, find the number of desired outcomes, and put it over the total number of outcomes.

Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:

52 - 4 = 48

So out of the 52 possible outcomes, 48 are desired. Set up the fraction and

simplify:

48/52

/4   /4

= 12/13

Answer:

Step-by-step explanation:

A

Answer:

the answer is 9/25 for A PEX people

Step-by-step explanation:

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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The linear model for the cost, \(C\), of waste collection as a function of the number of kilograms, \(w\) is  \(C = 4w +70\) .

Given,

The monthly charge for a waste collection service for 100 kg of waste = $470

so, \((x_{1} , y_{1} ) = (100, 470)\)

The monthly charge for a waste collection service for 175 kg of waste = $770

so, \((x_{2} , y_{2} ) = (175, 770)\)

In this question, We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

\(y - y_{1} = \frac{y_{2} - y_{1} }{x_{2}- x_{1} } (x-x_{1} )\)

Substitute the values:

\(y - 470 = \frac{770- 470 }{175- 100 } (x-100)\)

\(y - 470 = \frac{300 }{75} (x-100)\)

\(y - 470 = 4 (x-100)\)

\(y - 470 = 4x-400\)

\(y = 4x +70\)

Now, replace \(y\) with C and \(x\) with w

\(C\) \(= 4w +70\)

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ANSWER

P'(-12, 21.5)

EXPLANATION

We are given the cordinates of P as:

P(-9, 10.5)

Cordinate points are given as A(x, y)

We want to translate it 3 units left and 11 units up.

That means that we are moving it 3 units towards the negative side of the x axis and 11 units towards the positive side of the y axis.

Therefore, we will subtract 3 from the x cordinate and add 11 to the y cordinate.

Therefore, the translation is:

P(-9, 10.5) => P'(-9 - 3, 10.5 + 11)

=> P'(-12, 21.5)

The cordinates of P have been translated.

Based on the ratio of Chinooks to Steelhead, if there are 120 Steelheads, the biologist should expect to count 48 Chinooks.

The first part of the question shows that for every 4 Chinooks, there are 10 Steelheads.

The ratio of Chinooks to Salmon is therefore:
= 10 / 4

= 2.5

This means that for every 1 Chinook, there are 2.5 Steelhead.

If there are 120 Steelheads, the number of Chinooks would be:

= 120 / 2.5

= 48 Chinooks

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Answer:

No solution

Step-by-step explanation:

Because when you add 5 on both sides to take away the negative 5 it does not show a true statement. Since:

7x does not equal 7x + 10

Answer:

it took 60 minutes to fill up 800 gallons of water???

If June has 72 gallons of punch for a party and June carries the punch in two different full coolers. The bigger cooler is five times as large as the smaller cooler, then the capacity of smaller cooler is 12 gallons and the capacity of bigger cooler is 60  gallons

The bigger cooler is five times as large as the smaller cooler

Consider the capacity of smaller cooler as x

The capacity of bigger cooler=5x

June has 72 gallons of punch for a party

Then the linear equation will be

x+5x=72

6x=72

x=12

Then the capacity of bigger cooler=5x

=5×12

=60

Hence, if June has 72 gallons of punch for a party and June carries the punch in two different full coolers. The bigger cooler is five times as large as the smaller cooler, then the capacity of smaller cooler is 12 gallons and the capacity of bigger cooler is 60  gallons

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The equations of the three altitudes of triangle ABC include the following:

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Also, the point-slope form of a straight line is given by this equation:

y - y₁ = m(x - x₁)

Assuming the following parameters for triangle ABC:

For the equation of altitude AM, we have:

Slope of BC = (2 - 8)/(4 - 0)

Slope of BC = -6/4

Slope of BC = -3/2

Slope of AM = -1/slope of BC

Slope of AM = -1/(-3/2)

Slope of AM = 2/3.

The equation of altitude AM is given by:

y - y₁ = m(x - x₁)

y - 0 = 2/3(x - (-2))

3y = 2(x + 2)

3y = 2x + 4

3y - 2y - 4 = 0.

For the equation of altitude BN, we have:

Slope of CA = (2 - 0)/(4 - (-2))

Slope of CA = 2/6

Slope of CA = 1/3

Slope of BN = -1/slope of CA

Slope of BN = -1/(1/3)

Slope of BN = -3.

The equation of altitude BN is given by:

y - y₁ = m(x - x₁)

y - 8 = -3(x - 0)

y - 8 = -3x

y + 3x - 8 = 0.

For the equation of altitude CL, we have:

Slope of AB = (8 - 0)/(0 - (-2))

Slope of AB = 8/2

Slope of AB = 4

Slope of CL = -1/slope of AB

Slope of CL = -1/4

The equation of altitude CL is given by:

y - y₁ = m(x - x₁)

y - 2 = -1/4(x - 4)

4y - 2= -(x - 4)

4y - 2= -x + 4

4y + x - 2 - 4 = 0.

4y + x - 6 = 0.

In conclusion, we can infer and logically deduce that the equations of the three altitudes of triangle ABC include the following:

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Answer:

Subtract 8 from both sides to isolate 5n.

23-8= 15

5n=15

divide both sides by 5 to get n.

5n/5= n

15/5=3

n=3

Answer:

n = 3

Step-by-step explanation:

5n = 23 - 8

Calculate

5n = 15

Divide Both Sides

n = 3

Answer:

A)

Step-by-step explanation:

2005: 118000000000

2011: 2357000000000

Option A) = 20

118000000000 * 20 = 2360000000000

2360000000000 is approximately close to 2357000000000

Step-by-step explanation:

(3•2)+(3•2)+(6.5•3)+(6.5•3)+(2•6.5)+(2•6.5)

=77

Answer:

Step-by-step explanation:

.In this case (16)2 / (6)2 or 7.1111The larger pizza has (7.1111)(610) calores

Answer:

To solve this problem, we first need to understand that the number of calories in a pizza doesn't depend on its diameter but on its area. The reason is simple: the more pizza there is, the more calories it contains. And the area of a pizza (or any circle) increases with the square of the radius.

The area of a circle is given by the formula πr^2, where r is the radius.

The 6-inch pizza has a radius of 3 inches, so its area is π(3^2) = 9π square inches.

The 16-inch pizza has a radius of 8 inches, so its area is π(8^2) = 64π square inches.

The 16-inch pizza is 64π/9π = 64/9 ≈ 7.11 times the area of the 6-inch pizza, and therefore should have roughly 7.11 times the calories, assuming the pizzas are made with the same proportions of ingredients.

So, the 16-inch pizza should have approximately 610 calories * 7.11 = 4337.1 calories.

If the 16-inch pizza is cut into 8 slices, each slice would have approximately 4337.1 calories / 8 = 542.14 calories.

Keep in mind this is an estimate as it assumes that the distribution of ingredients (and therefore the distribution of calories) is uniform across the pizza, which might not be the case in reality. But it gives a good first approximation.

The equation of the line that passes through the point (-6, -8) and is parallel to the line  4y + 12x = 28 is y = -3x -26.

What is a slope-intercept form?

Finding the equation of a line requires using the slope-intercept form of a straight line

The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as y = mx + b.

Here, we have

the equation of the line that passes through the point (-6, -8) and is parallel to the line 4y + 12x = 28.

Now, we convert this equation 4y + 12x = 28 into y = mx + b form and we get,

4y = 28 - 12x

y = 6 - 3x

y = -3x + 6

we get the slope, m = -3

The given line passes through the point (-6, -8).

Using the one-point formula, (y - y₁) = m(x - x₁), we get

y - (-8) = -3 (x - (-6))

y + 8 = -3 (x +6)

y + 8 = -3x - 18

y = -3x - 26

Hence, the equation of the line that passes through the point (-6, -8) and is parallel to the line  4y + 12x = 28 is y = -3x -26.

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Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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Step-by-step explanation:

remember the GCF (greatest common factor) ?

every number or term is the product of certain prime numbers (prime factors).

the product of factors that the discussed numbers or terms have in common is the GCF.

1)

12x³ + 8x

12x³ :

12 / 2 = 6

6 / 2 = 3

3 / 2 no

3 / 3 = 1 finished

12 = 2×2×3

x³ = x×x×x

so,

12x³ = 2×2×3×x×x×x

8x :

8 / 2 = 4

4 / 2 = 2

2 / 2 = 1 finished

8 = 2×2×2

x = x

so,

8x = 2×2×2×x

what factors do they have in common ?

2×2×x = 4x

so, the GCF = 4x

that means

12x³ + 8x = 4x×3x² + 4x×2 = 4x(3x² + 2)

2)

18a² + 2a

18a² :

18 / 2 = 9

9 / 2 no

9 / 3 = 3

3 / 3 = 1 finished

18a² = 2×3×3×a×a

2a :

2 / 2 = 1 finished

2a = 2×a

so, they have 2×a = 2a in common.

the GCF = 2a.

that means

18a² + 2a = 2a×9a + 2a×1 = 2a(9a + 1)

3)

25b⁴ + 30b³

25b⁴ :

25 / 2 no

25 / 3 no

25 / 5 = 5

5 / 5 = 1 finished

25b⁴ = 5×5×b×b×b×b

30b³ :

30 / 2 = 15

15 / 2 no

15 / 3 = 5

5 / 3 no

5 / 5 = 1 finished

30b³ = 2×3×5×b×b×b

so, they have 5×b×b×b = 5b³ in common.

the GCF = 5b³

that means

25b⁴ + 30b³ = 5b³×5b + 5b³×6 = 5b³(5b + 6)

Answer:

x=\(\frac{m}{8-5n}\)

Step-by-step explanation:

m=8x-5nx

m=x(8-5n)

m/(8-5n)=x

Answer:

40

Step-by-step explanation:

\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)

Answer:

y=in ×-3

it's the answer

Answer:

  2500 ft²

Step-by-step explanation:

The missing area at lower right in the diagram has dimensions ...

  (4 -2 1/4) by (3 -1 3/4) = (1 3/4) by (1 1/4)

Then the area of that "missing" space is ...

  (1.75)(1.25) = 2.1875 . . . . square inches.

The area of the enclosing rectangle is ...

  (4 in)(3 in) = 12 square inches

Then the area in the diagram representing the store is ...

  12 in² -2.1875 in² = 9.8125 in²

__

Each square inch on the diagram represents an actual area of ...

  (1 in)×(1 in) ⇒ (16 ft)×(16 ft) = 256 ft²

Then the actual store area is ...

  9.8125(256 ft²) = 2512 ft²

Rounded to the nearest 50 ft², this is 2500 ft².

Answer:

The sum of the interior angle measures of a regular hexagon is 720°.

Step-by-step explanation:

To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:

Sum of interior angles = (n - 2) × 180°

In the case of a hexagon, n = 6. So, we can plug this value into the formula:

Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:

Sum of interior angles of hexagon = 4 × 180° = 720°

The sum of the interior angle measures of a regular hexagon is 720°.

Answer:

If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.

To find the value of k, we can use the given values of y and x:

y = kx

24 = k(12)

k = 2

Now that we know k, we can use the equation to find the value of y when x=16:

y = kx

y = 2(16)

y = 32

Therefore, when x=16, y=32.

Answer:

\(Outcomes = \{HHHH, HHHT,TTTH, TTTT\}\)

Step-by-step explanation:

Given

\(S = \{HHHH, HHHT, HHTH, HHTT,HTHH, HTHT, HTTH, HTTT, THHH, THHT,\)

\(THTH, THTT,TTHH, TTHT, TTTH, TTTT\}\)

Required

The outcomes where the first three tosses are the same

To do this, we list out the outcomes that the first three are HHH or TTT.

So, we have:

\(Outcomes = \{HHHH, HHHT,TTTH, TTTT\}\)

Given

A mathematical hypothesis could be a guess at a _____ rule.

To fill in the blanks.

Answer:

A mathematical hypothesis could be a guess at a function rule.