1) In a survey, Eric, the team manager, asked all 120 soccer players in the league which drink they preferred during
and after the game.
Drink During Game After Game
Sports Beverage 70
10
Juice
10
80
Water
40
30
Directions: For each statement below, tell if it accurately represents the information from the survey AND
explain how you made each decision. (SHOW YOUR THINKING)
a. During the game, players prefer juice to water by a ratio of 4 to 1.
b. 25% of the players prefer water after the game.
c. More than half of the players prefer a sports drink during the game.

The equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The points are given as

(-4, 2) and (12, 6)

Calculate the slope of the points using

m = (y2 - y1)/(x2 - x1)

So, we have

m = (6 - 2)/(12 + 4)

Evaluate

m = 0.25

The equation is then calculated as

y = m(x - x1) + y1

Where

(x1, y1) = (-4, 2)

So, we have

y = 0.25(x + 4) + 2

Expand

y = 0.25x + 1 + 2

Evaluate

y = 0.25x + 3

Hence, the equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3

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Answer:

twenty-seven dollars

Step-by-step explanation:

0.6×$45=$27

Answer:

1st question is 42 students in the class.       2nd question is 41.

Do tell me if I'm wrong please

Step-by-step explanation:

15 + 12 + 9 + 6

   27 + 9 + 6

   27 + 15 = 42

16 + 10 + 3 + 12

  26 + 15

      41

Answer:

k=40

Step-by-step explanation:

Answer : Each week the amount goes up by $40

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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Answer:

As we can observe,

F(1) = 567

F(2) = 189 = 567/3 = F(1)/3

F(3) = 63 = 189/3 = F(2)/3

=> F(4) = F(3)/3 = 63/3 = 21

Hope this helps!

:)

Answer:

21 then 7

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:2+2 = 4.............

Answer:

-76

Step-by-step explanation:

I give credit to the other people that said it, I am not the smart one her lol

The change in height after 5 and 1/2 minutes to the nearest kilometer will be 75.955

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

we have been given that the spacecraft is descending at a rate of 13.81 kilometres per minute, then  change in height after 5 and 1/2 minutes will be;

WE can see that the astronaut is descending 13.81 km each minute, so multiply that by 5 and a half minutes .

Then multiply 5 and 1/2 minutes by 13.81,

Speed = distance / times

Rate = 11/2 x 13.81

Rate = 75.955

Therefore, The change in height after 5 and 1/2 minutes to the nearest kilometer will be 75.955

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Answer:

Dimensions are 3cm and 10cm.

Step-by-step explanation:

We can make two equations for this problem.

ab = 30

2a + 2b = 26

Isolate a in the first equation.

a = 30/b

Plug that into the second equation.

2(30/b) + 2b = 26

2b^2 + 60 = 26b

2b^2 - 26b + 60 = 0

2(b - 3)(b - 10) = 0

b - 3 = 0 and b - 10 = 0

b = 3, 10

Plug these values into the first equation.

a3 = 30

a = 10

a10 = 30

a = 3

Best of Luck!

a. The recursive formula for the arithmetic sequence is: f(n + 1) = f(n) + 2, f(1) = 14.

b. The explicit formula is: \(a_n = 14 + 2(n - 1)\).

c. The graph of the sequence is given by the image at the end of the answer.

d. The linear function is: f(n) = 12 + 2n. The arithmetic sequence, however, models the situation better, as the situation has a discrete domain.

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term of the sequence.

The recursive formula is given as follows:

For this problem, the first term and the common difference are given as follows:

For the linear function, we take the explicit formula, apply the distributive property, and combine the like terms.

However, since the function is not defined for decimals, the arithmetic sequence is a better representation of the context.

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Answer:

X: 2,10

Step-by-step explanation:

Answer:

Top: 1, 12

Step-by-step explanation:

Bottom: 1.6. cause 4 times what is 24 6 sk you either divide or multiply each one by 6

P(B∣A) is approximately 0.310, rounded to three decimal places.

To find the probability P(B∣A), we can use Bayes' theorem:

P(B∣A)= P(A) / P(A∣B)⋅P(B)

Given information:

P(B)=0.2

P(A∣B)=0.9

P(B')=0.8 (probability of not B)

P(A∣B′)=0.5 (probability of A given not B)

First, we need to calculate

P(A), the probability of event A. We can use the law of total probability to express P(A) in terms of the probabilities related to B and not B:

P(A)=P(A∣B)⋅P(B)+P(A∣B′)⋅P(B′)

Substituting the given values:

P(A)=0.9⋅0.2+0.5⋅0.8=0.18+0.4=0.58

Now, we can substitute the known values into Bayes' theorem:

P(B∣A)= P(A)/ P(A∣B)⋅P(B)

= 0. 9.0.2 / 0.58

Calculating this expression:

P(B∣A)≈ 0.5 80.18 ≈0.310

Therefore, P(B∣A) is approximately 0.310, rounded to three decimal places.

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We are given the following endpoints

A (2, 4) and B (17, 14)

We need to find point P such that the segment is in the rato of 2:3

Total segments = 2+3 = 5

The x-coordinate of the point P is given by

The y-coordinate of the point P is given by

Therefore, the point P is (8, 8)

The number of the seat in the 18th row will be 113.

Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as

\(\rm a_n = a_1 + (n - 1)d\)

Denise is designing the seating arrangement for a concert, an outdoor theater.

To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats.

Then Denise plans the rest of the seating by solving for how many seats are in row 18.

Then the number of the seat in the 18th row will be given as

a₁ = 11

d = 6

n = 18

Then we have

a₁₈ = 11 + (18 – 1) x 6

a₁₈ = 11 + 17 × 6

a₁₈ = 11 + 102

a₁₈ = 113

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Option A) the difference between the third quartile and the first quartile is the correct answer.

The interquartile range (IQR) is the difference between the first and third quartiles of a dataset. It is a measure of the spread of a dataset's middle 50%.It is calculated as follows:IQR = Q3 − Q1where Q3 is the third quartile and Q1 is the first quartile, respectively.The interquartile range is a. the difference between the third quartile and the first quartile. Thus, Option A is the correct answer.An interquartile range is a statistic that uses two significant points in a dataset to define a spread.

It disregards any values outside of the range. The IQR is useful since it is robust to outliers and gives us an indication of how spread out our data is.

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The new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.

Given, that ratio of rice between max, victor and roman

Ratio : A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Let the amount of rice that Max, Victor, and Roman have as 3x, 2x, and 4x, respectively.

The total ratio of the amounts of rice is 3+2+4 = 9,

So each "part" of the ratio is 1/9.

If Victor gives 1/4 of his rice to Roman, he will give away

(1/4) × (2x) = 1/2x rice to Roman, and he will be left with

(3/4) × (2x)

= 6/4x

= 3/2x rice.

Roman will receive 1/2x rice from Victor and will have

4x + 1/2x = 9/2x rice in total.

So the new amounts of rice that Max, Victor, and Roman have are 3x, 3/2x, and 9/2x, respectively.

The new ratio of the amounts of rice is (3x):(3/2x):(9/2x).

To simplify this ratio, we can multiply all parts by 2 to get:

6x:3x:9x

And then divide all parts by 3x to get:

2:1:3

Hence, the new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.

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The new ratio of the amount of rice that Max has to the amount that Victor has after Victor gives away 1/4 of his rice to Roman is 2:1.

Let's assume the amount of rice Max, Victor, and Roman have are 3x, 2x, and 4x units respectively. Now, if Victor gives 1/4 of his rice to Roman, Victor's amount will decrease by 1/4*2x = 0.5x, therefore, Viktor will have 2x - 0.5x = 1.5x units of rice. So, the new ratio of the amount of rice Max to the amount of rice Victor will be 3x:1.5x or, simplifying, 2:1.

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Rasheed estimates that for each photograph he prints, he has 5 photographs that he never prints.

So for 4 prints, he would have taken 4 * 5 = 20 photographs.

A ratio is a mathematical comparison of two or more values or quantities. It is usually expressed as a fraction or a decimal, and can also be written as a proportion, such as "2 to 5" or "2:5". Ratios can be used to compare quantities in many different fields, such as finance, physics, and cooking. For example, the ratio of sugar to flour in a recipe, the ratio of expenses to income in a budget, or the ratio of force to distance in physics.

We can show the ratio of 1:5, then continue my picture using that ratio until we show 4 photos printed. Then I can count the number of photographs

printed and the number not printed to find the total.

Sample drawing:

Photographs printed               X             X            X             X

Photographs not printed    XXXXXXXXXXXXXXXXXXXXXXXX

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The Jacobian matrix for the given transformation is:

Jacobian = | 6v 6u | = | 9 -1 |

The Jacobian of the transformation for the given equations is a 2x2 matrix that represents the partial derivatives of the new variables (x and y) with respect to the original variables (u and v). In this case, the Jacobian matrix will have the following form:

Jacobian = | ∂x/∂u ∂x/∂v |

| ∂y/∂u ∂y/∂v |

To find the Jacobian, we need to calculate the partial derivatives of x and y with respect to u and v, respectively.

In the given transformation, x = 6u v and y = 9u - v. Taking the partial derivatives, we have:

∂x/∂u = 6v (partial derivative of x with respect to u)

∂x/∂v = 6u (partial derivative of x with respect to v)

∂y/∂u = 9 (partial derivative of y with respect to u)

∂y/∂v = -1 (partial derivative of y with respect to v)

Plugging these values into the Jacobian matrix, we obtain:

Jacobian = | 6v 6u | = | 9 -1 |

So, the Jacobian matrix for the given transformation is:

Jacobian = | 6v 6u | = | 9 -1 |

This matrix represents the rate of change of the new variables (x and y) with respect to the original variables (u and v). The elements of the Jacobian matrix can be used to compute various quantities, such as gradients, determinants, and transformations in multivariable calculus and differential geometry.

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Answer: ( 0, 9, 0)

Step-by-step explanation: They both equal 36 but i think (0, 9, 0) is the better fit out of (0, 9, 0), and (6, 0, 0)

Hope this helps :)

Answer:

17.48

Step-by-step explanation:

Answer:

17.48

Step-by-step explanation:

92/100 *19

The answer is e. none of the above/can’t be determined with info given.

Based on the information given, we have:

P(A) = 0.46

P(B) = 0.17

P(A U B) = 0.63

Note that P(A U B) represents the probability of either event A or event B occurring, or both.

If events A and B are mutually exclusive, it means they cannot occur at the same time. In other words, if event A occurs, event B cannot occur, and vice versa. In this case, the probability of both events occurring would be zero.

On the other hand, if events A and B are collectively exhaustive, it means that together they account for all possible outcomes. In other words, either event A or event B (or both) must occur, and there are no other possibilities.

Using these definitions, we can see that events A and B are neither mutually exclusive nor collectively exhaustive. This is because the probability of both events occurring (i.e., the intersection of A and B) is not zero, which means they are not mutually exclusive. Additionally, the probability of either A or B occurring (i.e., the union of A and B) is not equal to one, which means they are not collectively exhaustive.

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Answer:

\(yes \: he \: is \: correct \\ \underline{\boxed{(\triangle{ \delta}) = 8}}\)

Step-by-step explanation:

\(change \: in \: temp. \: ( \triangle{ \delta}) = t_2 - t_1 \\ hence \to \\( \triangle{ \delta}) = (- 2) - (- 10) \\ (\triangle{ \delta}) = - 2 + 10 \\ (\triangle{ \delta}) = 10 - 2 \\ (\triangle{ \delta}) = 8\)

Answer:

No

Step-by-step explanation:

Luke only does it mathematically, he didnt bothet to check first by following step by step explanation

Answer:

the required ratio is :

24 : 34 = 2 : 3

Answer:

2 : 3

Step-by-step explanation:

The ratio

red roses : white roses

= 24 : 36 ← divide both parts of the ratio by 12

= 2 : 3 ← in simplest form

The transformations that occur in function g(x) as it relates to the graph of f(x) = x² are option B and C

In the given function, the only transformations that occur in the function g(x) as it relates to f(x) are B and C.

In option B, the translation down 251.5 units: In the original function f(x) = x², the graph is centered at the origin (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term (x - 251.5) causes a horizontal shift to the right by 251.5 units. This means that the graph of g(x) is shifted to the right compared to the graph of f(x). Since the term is subtracted, it has the effect of shifting the graph downwards by the same amount, hence the translation down 251.5 units.

Likewise, in option C, the translation up 118 units: In the original function f(x) = x², the graph intersects the y-axis at the point (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term 118 is added to the expression. This causes a vertical shift upwards by 118 units compared to the graph of f(x). So, the graph of g(x) is shifted upwards by 118 units.

Therefore, the transformations that occur in g(x) as it relates to the graph of f(x) = x²are a translation down 251.5 units and a translation up 118 units.

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Solution:

Given:

Two boxes - large and small

Generate the system of equations from the statements given:

Solving both equations simultaneously;

Substitute l into equation (3) to get s

Therefore,

Large box: 50 pounds

Small box: 35 pounds

The amount of tile the artist requires to cover the triangular prism pedestal made out of wood is 1,176 cm²

A triangular prism is a polyhedron that has triangular top and base and three rectangular sides.

The required amount of tile can be found from the surface area of the triangular prism pedestal as follows;

The surface area,, A = The area of the two slant rectangular surfaces with dimensions, 30 cm by 10 cm + The area of the rectangle at the base with width of 16 cm and length of 30 cm + The area of the top and bottom triangles with base length of 16 cm and height of 6 cm.

Surface area, A = 2 × 30 cm × 10 cm + 30 cm × 16 cm + 2 × (1/2) × 16 cm × 6 cm

A = 600 cm² + 480 cm² + 96 cm² = 1,176 cm²

The area of the tiles which is the surface area of the triangular prism is 1,176 cm²

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Given the drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. The solution to the system of equations is x = -375 and y = 475.

To solve the problem, we can set up a system of equations. Let's assign variables to the unknowns. Let x represent the number of short-sleeved shirts sold and y represent the number of long-sleeved shirts sold.
From the given information, we know that the drama club sold one-third of the short-sleeved shirts, which can be expressed as x = (1/3) * total number of short-sleeved shirts.
Similarly, they sold one-half of the long-sleeved shirts, which can be expressed as y = (1/2) * total number of long-sleeved shirts.
We are also given that the total number of shirts sold is 100, so we can write the equation x + y = 100.
Now, let's substitute the value of x and y from the previous equations into the equation for the total amount earned.
Total amount earned = (5 * x) + (10 * y)
Substituting the values, we get:
Total amount earned = (5 * (1/3) * total number of short-sleeved shirts) + (10 * (1/2) * total number of long-sleeved shirts)
Since the goal is to earn $1,750, we can set up the equation:
1750 = (5/3) * total number of short-sleeved shirts + (10/2) * total number of long-sleeved shirts
Now we have a system of equations:
x + y = 100
(5/3) * x + (10/2) * y = 1750
We can use the method of substitution or elimination to find the values of x and y.

Let's solve it using the method of substitution:

From Equation 1, we can express x in terms of y:

x = 100 - y

Substitute this value of x into Equation 2:

(5/3) * (100 - y) + (10/2) * y = 1750

Simplify the equation:

(5/3) * 100 - (5/3) * y + 5y = 1750

500/3 - (5/3 - 5) * y = 1750

500/3 + (10/3) * y = 1750

(10/3) * y = 1750 - 500/3

(10/3) * y = 5250/3 - 500/3

(10/3) * y = 4750/3

y = (4750/3) * (3/10)

y = 4750/10

y = 475

Now substitute the value of y back into Equation 1 to find x:

x + 475 = 100

x = 100 - 475

x = -375

Therefore, the solution to the system of equations is x = -375 and y = 475.

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Answer:

4 / 9

Step-by-step explanation:

There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.

Answer:

None

Step-by-step explanation:

Notice how it says red pens, not red marbles. There is no red pen

When determining the size of a fact table, estimating the number of possible values for each dimension associated with the fact table is equivalent to: determining the number of possible values for each foreign key in the fact table.

The measures, metrics, or facts of a business process are contained in a fact table in data warehousing. In a star or snowflake schema, it sits in the middle, surrounded by dimension tables.

When several fact tables are employed, they are organized according to a fact constellation schema. The two types of columns that make up a fact table are typically those that hold facts and those that serve as a foreign key to dimension tables.

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