In a big cooler in the kitchen there are the following drinks: 6 cans of soda, 10 bottles of juice, and 3 cans of juice. But, there are no bottles of soda. Maria just came in from playing outside and is going to choose one of these drinks at random from the cooler. What is the probability that the drink Maria chooses is in a bottle or is a soda?

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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The exponential function will be equal to y = 20ˣ.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

Cash 2300

Accumulated Depreciation  4940

Gain one of fixtures 240

Store fixtures  7000

From the question, we have

Bonham’s Bakery sold shelving units (store fixtures) that were 13 years old for $2,300 cash.

Accumulated Depreciation = (7000-1300)/15*13

=4940

Gain one of fixtures = 240

Store fixtures = 7000

Multiplication:

Mathematicians multiply the numbers in order to calculate the sum of two or more. A fundamental mathematical operation, it is applied frequently in daily life. In order to combine groups of similar sizes, we use multiplication. An illustration of the fundamental concept of repeated addition of the same number is multiplication. The product of two or more numbers refers to the result of the multiplication, and the factors are the amounts that are being multiplied. It is easier to add the same number repeatedly after it has been multiplied.

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In year 2015 the sum of the age of maria, her mother, and her father, will be 100 years.

As the date and month of the birth is same for maria, her mother, and her father. Lets say in year X, the sum of the age will be 100 years.

The age of maria in year X = (X - 2000)

The age of her mother in year X, = (X - 1975)

The age of her father in year X, = (X - 1970)

Sum of their age,

100 = (X - 2000) + (X - 1975) + (X - 1970)

100 = 3X - (2000 + 1975 + 1970)

100 = 3X - 5945

3X = 5945 + 100

3X = 6045

X = 2015

Hence option (a) is correct.

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The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

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The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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if we  that Abby spent 50% of her time on School, 30% on Work, and 20% on Sleep, we can estimate that she spent:

100% - (50% + 30% + 20%) = 100% - 100% = 0% on Other.

If Abby divided her time into four categories (School, Work, Other, and Sleep), the percentage she spent on Other would be 100% less the sum of the percentages she spent on School, Work, and Sleep.

So, assuming Abby spending 50% of her time at school, 30% at work, and 20% sleeping, we can estimate she spent:

On Other, 100% - (50% + 30% + 20%) = 100% - 100% = 0%.

However, this is just a guess based on assumptions about how Abby spent her time. It's difficult to provide a more accurate estimate without more information.

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The statement that correctly compares the centres of distribution is option D. The median of Northview HS is greater than the median of Southdale HS.

Based on the provided information, we can compare the centers of the distributions as follows:

Class Sizes at Northview HS: 10, 8

Class Sizes at Southdale HS: 10, 6

To compare the centers of the distributions, there is need to look at the measures of central tendency, such as the median.

The median of Northview HS is (10 + 8) / 2 = 9.

The median of Southdale HS is (10 + 6) / 2 = 8.

Comparing the medians, we can see that the median of Northview HS (9) is greater than the median of Southdale HS (8).

Therefore, the correct statement is option D. The median of Northview HS is greater than the median of Southdale HS.

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To solve for x in the equation 8.88 = 4.44(x+7), we need to isolate x on one side of the equation. Here are the steps:

   Distribute the 4.44 on the right side of the equation:

8.88 = 4.44x + 31.08

   Subtract 31.08 from both sides of the equation:

-22.2 = 4.44x

   Divide both sides by 4.44:

x = -5

Therefore, the solution for x in the equation 8.88 = 4.44(x+7) is x = -5.

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

The rules that define the piecewise function graphed are as follows:

y = x + 2, y = 5.

A piecewise function is a function that has different definitions, depending on the input.

In this problem, for x between 0 and 3, a linear function is given, with slope given as follows:

m = (5 - 2)/(3 - 0) = 1.

The y-intercept is of 2, as y = 2 when x = 0, hence the definition is:

\(y = x + 2, 0 \leq x \leq 3\)

For x greater than 3, the function is constant at y = 5, hence the definition is:

y = 5, x > 3.

Hence, the rules that are used to define the piecewise function graphed are as follows:

y = x + 2, y = 5.

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Answer:

A is the answer

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

The exterior angle of 77 degrees is equal to the sum of angle M and L, so we can create an equation where (10x + 1) + (6x - 4) = 77 and solve it. First we can combine like terms and add numbers on the left side of the equation: 16x - 3 = 77. Next, we can add 3 to both sides of this equation: 16x = 80. Lastly, we can isolate the x variable by dividing both sides of this equation by 16: x = 5.

Step-by-step explanation:

Please support my answer.

Answer:

-3<y<3

Step-by-step explanation:

The the RANGE of the graph is -3 < y < 3

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

1) The scatter plot at the right most likely represents the number of siblings a person has and the person’s GPA.

2) The most reasonable estimate of the gallons of gas in a tank if it has been 3 days since filling up is; 17 gallons

1) Scatter plots are defined as the graphs that present the particular relationship between two variables in a data-set.

A scatter plot is also defined as a chart type that is usually used to observe and visually display the relationship between variables.

From the given scatter plot, we can say that the scatter plot at the right would most likely be used to represent the number of siblings a person has and the person’s GPA.

2) From the given scatter plot, we can see that the x-axis shows the number of days left since filling up while the y-axis represents the gallons of gas.

Now, we want to find out the most reasonable estimate of the gallons of gas in a tank if it has been 3 days since filling up. We will trace 3 on the x-axis and the corresponding value on the y-axis would be approximately 17 gallons.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

1)It crosses through the middle of the isosceles triangle cutting it into two equal parts Point p on the end

Point P is also either at the top or bottom of the perpendicular bisector which cuts between L and M

The number of tickets for pavilion seats sold is 1200 and the number of tickets for lawn seats sold is 400.

Given that, one evening 1600 concert tickets were sold for the Fairmont Summer Jazz Festival.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let the number of tickets for pavilion seats be x and the number of tickets for lawn seats be y.

Now, x+y=1600

x=1600-y ---------(1)

25x+15y=36,000 ---------(2)

Substitute equation (1) in (2), that is

25(1600-y)+15y=36,000

⇒ 40000-25y+15y=36,000

⇒ 10y=4000

⇒ y=400

So, x=1600-y =1200

Therefore, the number of tickets for pavilion seats sold is 1200 and the number of tickets for lawn seats sold is 400.

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Answer:

d = 261 miles

Step-by-step explanation:

Given that,

The distances (in miles) driven in the past week by each of a company's sales representatives are listed below.

78 126 238 284 310 356

We need to find the median of the distances.

There are 6 data. If n is even,

\(median =\dfrac{\dfrac{n}{2}^{th}+(\dfrac{n}{2}+1)^{th}}{2}\\\\median =\dfrac{\dfrac{6}{2}^{th}+(\dfrac{6}{2}+1)^{th}}{2}\\\\=\dfrac{3^{rd}+4^{th}}{2}\\\\=\dfrac{238+284}{2}\\\\=261\ mi\)

So, the median distance is 261 miles.

Answer:

Linear

Step-by-step explanation:

I'd say this because the line is straight so I think it's linear. (If wrong sorry)

Answer:D

Step-by-step explanation:

(4/5)^0

4^0/5^0=1/1=1

The formula for slope from a graph is given by:

We pick two points from the graph (x, y) at point 1 & (x, y) at another point

We can pick the x-intercept (where the line touches the x-axis) as the first point, we have the coordinate to be (4, 0)

We can pick the y-intercept (where the line touches the y-axis) as the second point, we have the coordinate to be (0, 3)

We substitute these points into the slope equation above, we have:

The slope (m) = -3/4

Answer:

3

Step-by-step explanation:

2  +  3  =   7

---    ---      ---

6      6       6

Answer:

22

Step-by-step explanation:

Answer & Step-by-step explanation:

Divide how much he wants to earn by how much he earns per hour:

132/6.25 = 21.12

He needs to work 21.12 hours to earn $132.

Answer:

A

Step-by-step explanation:

because

\(x - 5 = 8 \\ x = 8 + 5 \\ x = 13 \\ x - 5 + 2 = 8 + 2 \\ x - 3 = 10 \\ x = 10 + 3 \\ x = 13\)

Answer:

-66

Step-by-step explanation:

-(-2)^2=-4

-3(-2)(-3)+2(-3)^3= -62

-4-62= -66