the ratio of 9 minutes and 600 seconds in its simplest form

Answer:

there are 276 + 276 + 5680 = 6232 different ways for Jane to choose her meal.

Step-by-step explanation:

First, we need to find the number of different combinations of a starter dish and a main dish. This is simply the number of combinations of 2 items from 8 starters and 15 main dishes, which can be calculated using the formula for combinations:

C(8 + 15, 2) = C(23, 2) = (23 * 22) / (2 * 1) = 276

Similarly, the number of different combinations of a main dish and a dessert dish is:

C(15 + 9, 2) = C(24, 2) = (24 * 23) / (2 * 1) = 276

Finally, the number of different combinations of a starter dish, a main dish, and a dessert dish is:

C(8 + 15 + 9, 3) = C(32, 3) = (32 * 31 * 30) / (3 * 2 * 1) = 5680

In total, there are 276 + 276 + 5680 = 6232 different ways for Jane to choose her meal.

The number of people who are not season ticket holders can be found by subtracting the number of season ticket holders from the total number of attendees:

110801 - 4922 = 105879

Therefore, there are 105879 people who are not season ticket holders.

16 iron spheres each of radius 1.5 cm are required to raise the level of water by 2 cm

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

Given, A cylindrical jar of radius 6 cm contains water.

Therefore, the volume of the cylinder is π(6²)h = 36πh.

Given, The height raises by 2cm therefore, 36π(h + 2).

We know, The volume of a sphere is, (4/3)πr³

=  (4/3)π(1.5)³.

= (4/3)π×3.375.

= (13.5/3)π.

let, We need 'x' number of spheres.

Therefore,  36πh + (13.5/3)πx = 36π(h + 2).

36πh - 36π(h + 2) =  - (13.5/3)πx.

36h - 36(h + 2) =  - (13.5/3)x.

108h - 108(h + 2) = - 13.5x.

108(h - h - 2) = - 13.5x.

108(-2) = - 13.5x.

x = 216/13.5.

x = 16.

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The value of x justify the equation is x = 8.

An equation can be defined as a statement that supports the equality of two expressions, which are connected by the equal sign."='

These two expressions on either side of the equals sign are called the "left hand side" and "right hand side" of the equation. Generally, we assume the right hand side of an equation is zero.

Polynomial equations with one variable can be written in P(x) = 0, where P is a polynomial, and ax + b = 0 is the general form of linear equations. Here, a and b are parameters.

Given:

48 = 5(2x - 7) + 3

Distribute 5:

48 = 10x - 35 + 3

Combine like terms:

48 = 10x - 32

Add 32 on both sides,

48 + 32 = 10x - 32 + 32

80 = 10x

Divide by 10 on both sides,

80/10 = 10x/10

x = 8

Check this value

Plug in x to verify it's a solution

48 = 5(2(8) - 7) + 3

48 = 5(16 - 7) + 3

48 = 5(9) + 3

48 = 45 + 3

48 = 48

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The transformation of the triangle is the orientation changes and moves the triangle into Quadrant III

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the transformation of the triangle be represented as A

Now , the initial coordinates are ( x , y )

And , on transformation , we get ( x , y ) - ( x - 3 , y + 4 )

Now , the triangle is reflected across the y-axis

So , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

And , its orientation has changed and it is now in Quadrant III.

Hence , the triangle is now in Quadrant III

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Answer:

C = $24 + 0.45x

Step-by-step explanation:

If we let total amount spent by a guest to the park as $C and number of tickets bought is x then the algebraic expression to represent the total amount spent by a guest is

C = $24 + 0.45x

The value of csc(3π/2) is -1.

What is a trigonometric function?

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Numerous trigonometric identities and formulas indicate the relationship between the functions and aid in determining the triangle's angles.

The given trigonometry function is csc(3π/2)

Assume that y = csc(3π/2)

Break the angle:

y = csc(π + π/2)

Applying the formula csc(π + θ) = -csc θ:

y = - csc(π/2)

y = -1 [since csc(π/2) = 1]

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The statement "Before using census data, researchers need to consider the timeliness of the data." is true because census data is only accurate and useful when it is up to date.

The United States Census Bureau updates the data every ten years, so the most recent data will be from 2010. Additionally, researchers should be aware of any changes to the census information over time and make sure they are using the most up-to-date version. Furthermore, researchers need to understand the scope of the census data and what it is designed to measure.

The United States Census covers the entire population of the United States, but it is important to know the specific topics covered by each census and what population groups are included. Finally, researchers should be aware of how the census data is collected and the potential for error or bias in the data.

If the data is outdated, it could lead to inaccurate results or conclusions. Therefore, researchers must consider the timeliness of the data before using it in any research project.

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The complete question is:

True or False: Before using census data, researchers need to consider the timeliness of the data.

Step-by-step explanation:

inversely means

y = k/x

therefore

30 = k/4

120 = k

y = 120/10 = 12

FYI :

directly would mean

y = kx

The value of y will be 12 when x is equal to 10.

The relationship between two variables known as "inverse variation" occurs when the value of one variable increases while the value of the other variable decreases.

Given that, y varies inversely with x.

Here, y∝1/x

y=k/x

xy=k

When x is 4, y is equal to 30, we get

k=4×30

k=120

When x=10, we get

10y=120

y=12

Therefore, the value of y will be 12 when x is equal to 10.

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The sample mean is 89.45, the sample standard deviation is 2.327, and the sample median is 91 and the leaf plot of the data is illustrated below.

The sample standard deviation is a measure of how much the ratings vary from the sample mean. It tells us how spread out the data is. A larger standard deviation means the data is more spread out, while a smaller standard deviation means the data is more tightly clustered around the mean.

To calculate the sample standard deviation, we first need to calculate the variance. The variance is the average of the squared differences between each rating and the mean. The formula for variance is:

variance = (sum of (rating - mean)²) / (number of ratings - 1)

In this case, the sum of the squared differences is 301.9, and there are 39 degrees of freedom (40 ratings minus 1), so the variance is 7.741. To get the sample standard deviation, we take the square root of the variance. In this case, the sample standard deviation is approximately 2.78.

The sample median is the middle rating when the ratings are arranged in order from lowest to highest. In this case, there are 40 ratings, so the median is the average of the 20th and 21st ratings, which are both 91.

Finally, we can determine what proportion of the taste-tasters considered this particular pinot noir truly exceptional (above 90 points). To do this, we count the number of ratings that are above 90 and divide by the total number of ratings. In this case, there are 30 ratings above 90, so the proportion is 30/40, or 0.75. This means that 75% of the taste-tasters considered this pinot noir truly exceptional.

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Complete Question:

A group of wine enthusiasts taste-tested a pinot noir wine from Oregon. The evaluation was to grade the wine on a 0-to-100-point scale. The results follow. Construct a stemand- leaf diagram for these data and comment on any important features that you notice. Compute the sample mean, the sample standard deviation, and the sample median. A wine rated above 90 is considered truly exceptional. What proportion of the taste-tasters considered this particular pinot noir truly exceptional?

94 90 92 91 91 86 89 91 91 90

90 93 87 90 91 92 89 86 89 90

88 95 91 88 89 92 87 89 95 92

85 91 85 89 88 84 85 90 90 83

Answer:

i think it x = 0 and x = 5

Step-by-step explanation:

[tex]y = {x}^{2} - 4x + 2[/tex]

[tex]y = x + 2[/tex]

[tex]x + 2 = {x}^{2} - 4x + 2[/tex]

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

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

[tex]0 = x(x - 5)[/tex]

[tex]x = 0[/tex]

(or)

[tex]x - 5 = 0[/tex]

[tex]x = 5[/tex]

Answer:

C. 77.3% decrease

Step-by-step explanation:

To calculate the percent change, we can use the formula:

percent change = (new value - old value) / old value * 100

Plugging in the values, we get:

percent change = (20 - 88) / 88 * 100 = -68 / 88 * 100 = -0.772727 * 100 = -77.3

Since the new value is lower than the old value, this is a decrease, and the answer is -77.3, or 77.3% decrease.

Based on the given data set, the following statements are true:

The other statements are false because:

Lastly, The interquartile range is not 10. As calculated above, Q1 is 46 and Q3 is 52, so the IQR is 52-46=6.

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See transcribed text below

Use the following data set to answer the question.

(54, 45, 48, 51, 53, 44, 52}

Which statements about the data set are true? Select all that apply.

The standard deviation is approximately 3.7.

The interquartile range is 10.

There are no outliers.

The outlier is 54.

The standard deviation is approximately 49.6.

The interquartile range is 8.

The probability that it is likely that a randomly selected cookie from the batch will be a chocolate chip cookie.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

If P(chocolate chip) = 0.50, it means that the probability of randomly selecting a chocolate chip cookie from the batch is 0.50 or 50%.

Interpreting this probability, we can say that it is likely that a randomly selected cookie from the batch will be a chocolate chip cookie since the probability is relatively high.

Therefore, the correct answer would be an option (B) Likely.

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Answer:

...here is the answer...

It says that raise school is 1. 7 miles from his house the student walks 17 miles in a 5-day school week

If the school is 1.7 miles from the student's house, then the round trip distance between the house and school is 2 times 1.7 miles, or 3.4 miles per day.

A mile is defined as the unit of length, which is exactly equal to 5280 feet, or 1760 yards, and standardized as exactly 1609.344 meters by the International agreement in 1959. It is the largest unit that is commonly used to measure the distance between places that are far from each other.

To find out how many miles the student walks in a 5-day school week, we can multiply the daily distance by the number of school days in a week:

3.4 miles/day x 5 days/week = 17 miles/week

Therefore, the student walks 17 miles in a 5-day school week

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Answer:

c=8p

Step-by-step explanation:

c=8p

Answer:

[tex]\frac{y^2}{4x^5}[/tex]

Step-by-step explanation:

Used Exponents Properties :

[tex]\blacksquare \left( a\times b\right)^{n} =a^{n}\times b^{n}\\\blacksquare \left( a^{n}\right)^{m} =a^{n\times m}\\\blacksquare \left( \frac{a}{b} \right)^{n} =\frac{a^{n}}{b^{n}}[/tex]

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

[tex]\begin{aligned}\left(\frac{256 \times x^{20}}{y^8}\right)^{-\frac{1}{4}} & =\left(\frac{y^8}{2^8 \times x^{20}}\right)^{\frac{1}{4}} \\& =\frac{\left(y^8\right)^{\frac{1}{4}}}{\left(2^8 \times x^{20}\right)^{\frac{1}{4}}} \\& =\frac{y^{8 \times \frac{1}{4}}}{\left(2^8\right)^{\frac{1}{4}} \times\left(x^{20}\right)^{\frac{1}{4}}} \\& =\frac{y^{\frac{8}{4}}}{2^{\frac{8}{4}} \times x^{\frac{20}{4}}} \\& =\frac{y^2}{2^2 x^5}\\& =\frac{y^2}{4 x^5}\end{aligned}[/tex]

For four variables the required number of system of linear equations are at least option d. 4 equations.

Therefore, if there are four variables in the system of linear equations then we should have option d. 4 equations.

The above question is incomplete , the complete question is:

If we have four variables, then how many equations will we have in our system of linear equations?

a. 5       b. 2      c. 3     d. 4

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The value of the variable T is 60

These are described as expressions that are composed of coefficients, factors, constants, variables and terms.

These algebraic expressions are also identified by mathematical or arithmetic operations, such as;

We have;

T= 3db

Substitute the values

T = 3(4)(5)

expand

T = 60

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Step-by-step explanation:

Equation of ellipse depends on the points

The points that lie on the horizontal axis is (0,8) and (4,8). They have a distance of 4, therefore a radius of 2

The points that lie on the vertical axis is (2,3) and (2,13)

They have a distance of 10, therefore a radius of 5

Since the vertical axis is bigger, we have a vertical ellipse which is the equation of,

[tex] \frac{(y - k) {}^{2} }{ {a}^{2} } + \frac{(x - h) {}^{2} }{ {b}^{2} } = 1[/tex]

Where a is the major radius

b is the minor radius

(h,k) is the center

Step 1: Finding the center

The center should be the midpoint of the horizontal vertices or vertical vertices

Let's use the horizontal vertices

[tex] (\frac{(0 + 4}{2} ) = 2[/tex]

[tex]( \frac{8 + 8}{2} ) = 8[/tex]

So the center is (2,8)

Step 2: Finding the major and minor radius

We already know it , a is 5

b is 2, so we as of now, have this equation

[tex] \frac{(y -8) {}^{2} }{25} + \frac{(x - 2) {}^{2} }{4} = 1[/tex]

This is the equation of the ellisoe

Step 3: Find the foci

The foci for a vertical ellipse should lie on the same line as the same line as the major vertices and center.

The equation for an ellipse foci that is vertical are

(x,y+c) and (x,y-c)

Where C is

[tex]c = \sqrt{ {a}^{2} - {b}^{2} } [/tex]

[tex]c = \sqrt{25 - 4} [/tex]

[tex]c = \sqrt{21} [/tex]

So our foci are

,,,

[tex](2,8 + \sqrt{21} )[/tex]

and

[tex](2,8 - \sqrt{21} )[/tex]

,

If we have four variables, then four equations will we have in our system of linear equations.

A linear equation is a mathematical equation that represents a straight line on a graph. It is an equation that can be written in the form of y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept. The slope represents how steep the line is, and the y-intercept is the point where the line intersects the y-axis.

Linear equations can be used to model a wide range of real-world phenomena, from simple physics problems such as calculating the speed of a moving object, to economic models that describe the relationship between price and demand. They are also widely used in fields such as engineering, finance, and statistics.

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The quadrilateral is a trapezoid, the value of  x is  5  in given trapezoid.

An isosceles trapezoid can be defined as a trapezoid whose non-parallel sides and base angles have the same measure. That is, if the two opposite sides (bases) of a trapezoid are parallel and the two non-parallel sides are of equal length, it is an isosceles trapezoid. See the diagram below. It indicates that sides c and d are of equal length and opposite sides a and b (the base of the trapezoid) are parallel to each other.

The given trapezoid is An isosceles trapezoid .

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

(21+27)/2 = 5x -1

24 = 5x-1

x=5

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The given question is incomplete, the complete question is:

The quadrilateral is a trapezoid. What is the value of x?

A)48

B)4

C)25

D)5

and the Question image is attached in image section.

The cost per pound of a house blend of coffee is $ 5 per pound.

What is the cost price?

The precise value that corresponds to the unit price paid is represented by the cost price. In some stock market theories, this value is utilized to establish the value of stock holdings and is used as a key determinant of profitability.

Here, we have

Weight of Central American coffee = 10 lb

Cost of Central American coffee = $7 per pound

Total value of Central American coffee = weight × cost = 10 ×7 = $ 70

Weight of South American coffee = 40 lb

Cost of South American coffee =  $ 4.50 per pound

Total value of Central American coffee = weight × cost = 40 ×4.50 = $ 180

Total weight of house blend coffee = Weight of Central American coffee + weight of South American coffee

= 10 +40 = 50 lb

The total value of house blend coffee = value of Central American coffee + value of South American coffee

= $ 70 + $ 180 = $ 250

Cost per pound of house blend coffee = ( total value of house blend coffee) / (total weight of house blend coffee)

= 250 / 50 = $ 5 per pound

Hence, the cost per pound of a house blend of coffee is $ 5 per pound.

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Answer:

12 red marbles.

Step-by-step explanation:

No step by step explanation.

Answer:

  Two solutions:

Step-by-step explanation:

Given right ΔABC, with tan(A) = 3/2 and b = 5, you want the exact lengths of sides a and c.

To completely solve a triangle, you need to know at least one side, at least one angle, and one other side or angle. Here, we're given one side and one angle, so cannot solve the triangle using the given information.

We know another angle is 90°, but we don't know which one.

Often, side c is the one designated as the hypotenuse, but that is not necessarily the case. So, there are two solutions.

This case corresponds to the red triangle shown in the attachment.

In this triangle, the leg adjacent to angle A is side b, so we have ...

  Tan = Opposite/Adjacent . . . . . trig relation

  3/2 = a/5

  a = 15/2

The Pythagorean theorem can be used to find the length of side c.

  c² = a² +b²

  c² = (15/2)² +5² = 225/4 +25 = 325/4

  c = √(325/4)

  c = (5/2)√13

This case corresponds to the blue triangle shown in the attachment.

The given tangent of angle A tells us the ratio ...

  Tan = Opposite/Adjacent

  3/2 = a/c

  a = 3/2c . . . . . multiply by c

The Pythagorean theorem tells us ...

  b² = a² +c²

  5² = (3/2c)² +c² = 13/4c² . . . . . . substitute for b and a

  c² = (4/13)(5²) = (10/13)²·13 . . . . . . multiply by 13/13

  c = (10√13)/13 . . . . . . . . . . . . square root

  a = 3/2c = (15√13)/13 . . . . . . find 'a'

The of association represented in the graph is positive linear association.

option C

A positive correlation is a statistical relationship between two variables such that as one variable increases, the other variable also increases, and as one variable decreases, the other variable decreases as well.

In other words, positive correlation means that as the value of one variable goes up, the value of the other variable also goes up, and vice versa. The correlation is said to be positive because both variables move in the same direction.

The strength of the correlation can be measured using a correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, while a correlation coefficient of 0 indicates no correlation.

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The equivalent function to the given one is:

L(t) = 7,920*(3)^t

Here we want to rewrite the function:

L(t) = 880*(3)^(t + 2)

Into the form:

L(t) = a*(b)^t

Remember the rule for exponents:

(x^a)*(x^b) = x^(a + b)

Then we can take our function:

L(t) = 880*(3)^(t + 2)

And rewrite this as:

L(t) = 880*(3^t)*(3^2)

L(t) = 9*880*3^t

L(t) = 7,920*(3)^t

That is the equivalent function.

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The total number of students at the school is 1240.

What is Ratio ?

With the dividend or number being divided as the antecedent and the divisor or number that is dividing as the consequent, a ratio compares two quantities by division.

we know that, number of boys : number of girls = 11: 9

Let's assume the number of boys = 11x

and, the number of girls = 9x

similarly, There are 124 more boys than girls

So, number of boys = 124 +  number of girls

           11x = 124 + 9x

          2x = 124

          x = 62

So, number of boys = 11 ×62 = 682

number of girls = 9 × 62 = 558

∴ Total number of students is 1240 i.e.(682+558).

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The common region to both the graphs represents the solution set of the given inequalities.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that you can spend no more than 15 hours a week at your two jobs. Mowing lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.

Assume that you worked {x} hours Mowing lawns and {y} hours babysitting.

We can write the inequalities as -

x + y ≤ 15

3x + 5y ≥ 60

Refer to the graph attached. The common region to both the graphs represents the solution set.

Therefore, the common region to both the graphs represents the solution set of the given inequalities.

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