Here are the fuel efficiencies (in mpg) of 15 new cars.
44, 41, 27, 22, 44, 36, 18, 23, 30, 19, 32, 16, 28, 21, 42
What is the percentage of these cars with a fuel efficiency less than 32 mpg?

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-4x + 2 = -22

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -22 does indeed equal -22.

∴ x = 6 is a solution of the equation.

An expression which describe the given sequence is, an = -2 + n.

Arithmetic sequence states that a sequence where the difference between each successive pair of terms is the same.

an = -2 + n is an expression which describe the given sequence

The general rule for the arithmetic sequence is given by,

 an = a + (n - 1)d  ......[1]

where, denotes the initial word.

the common difference

there are n terms;

The given order is -1, 0, 1, 2,.....

This is a frequent difference arithmetic sequence.

Since,0-(-1) = 1

1-0 =1

2-1 = 1 ....

Here, a1 = -1

When you replace [1] with the value of d = 1, you get, a1 = -1

an = -1 + (n -1)(1)

an = -2 + n

Consequently, the following expression describes the given sequence: an = -2+n.

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Answer:

Step-by-step explanation:

Answer:

7/19

Step-by-step explanation: we could get two equations from the question if we set the denominator as x and the numerator as y:

1: x=2y+5

2:(y-3)/(x-3)=1/4

cross multiply

4(y-3)=1(x-3)

4y-12=x-3

x=4y-9

3: Then we can choose one of them and minus by another one

x-x=4y-2y-(9+5)

0=2y-14

2y=14

y=7

Then we only have to plug in

x=2*7+5

x=14+5

x=19

Answer:

He has 17 quarters and 18 pennies.

Because 17*0.25=4.25 and 18*0.01=0.18.

4.25+0.18=4.43 also 17+18=35

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Let number of pennies is p and quarters is q.

Set equations

Total coins = 35

Total amount = $4.43

Solve by elimination.

Multiply the second equation by 100 and subtract the first equation:

Find the value of p:

The holdout method is a common approach to assess the performance of a model on new, unseen data.

Linear regression is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. In simple linear regression, the relationship is modeled using a straight line, while in multiple linear regression, the relationship is modeled using a hyperplane in higher dimensions. Linear regression models are widely used in various fields, including finance, economics, social sciences, and engineering, to analyze and predict the behavior of a dependent variable based on one or more independent variables. The basic idea behind linear regression is to find the best-fitting line or hyperplane that minimizes the sum of the squared differences between the predicted values and the actual values of the dependent variable. This best-fitting line or hyperplane is called the regression line or regression hyperplane.

Here,

The basic idea is to split the available data into two parts: a training set and a validation set. The training set is used to fit the model, while the validation set is used to evaluate its performance. The holdout method can help us estimate how well the model will generalize to new data.

To compare the predictability of two linear regression models using the holdout method, we would follow these steps:

Split the data into a training set and a validation set. In this case, we would use the first 30 observations for training and the remaining 10 observations for validation.

Fit the first linear regression model using the training data. This model uses the variables x and d as predictors.

Fit the second linear regression model using the training data. This model extends the first model by including the interaction variable xd as a predictor.

Predict the response variable y for each observation in the validation set using both models.

Compare the predicted values to the actual values of y in the validation set. We can use metrics such as mean squared error (MSE) or R-squared to assess the performance of each model.

Choose the model that performs better on the validation set. This model is expected to have better predictability on new, unseen data.

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Answer:

10

Step-by-step explanation:

here it is

the explanation is in the photo

Esta pregunta esta incompleta

Pregunta completa

El señor Juan tiene una tienda de abarrotes y sus ventas son al mayoreo y al menudeo. La semana pasada recibió dos toneladas de azúcar en 40 sacos de 50 kg cada uno.

Con el azúcar de un saco empacó bolsas de 250 cada una.¿cuantas bolsas en paco​

Answer:

200 bolsas.

Step-by-step explanation:

Se nos dice en la pregunta,

La semana pasada recibió dos toneladas de azúcar en 40 bolsas de 50 kg cada una.

Esto significa

1 bolsa = 50 kg de azúcar.

1 kg = 1000 gramos

50 kg = 50 × 1000 gramos

= 50000 gramos

Por tanto, 1 bolsa contiene = 50000 gramos de azúcar.

A partir de la pregunta anterior, se nos pregunta cuántas bolsas de azúcar obtendría si cada bolsa contuviera 250 gramos.

Por lo tanto:

50000/250 gramos

= 200 bolsas.

Por lo tanto, obtendría 200 bolsas.

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.

To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.

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The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.

138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.

Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.

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Answer:

2 x 2

Step-by-step explanation:

Given the dimensions of the first matrix are 2x3 and the dimensions of the second matrix are 3x2, then the dimensions of the product will be 2x2.

Remember that the dimensions of a matrix are read by rows*columns.

The product of an m×n matrix and an n×k matrix is an m×k matrix

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Probability of not flipping more than two heads or tails in a row when flipping a coin seven times is 15/16, or approximately 0.9375.

To calculate the probability of not flipping more than two heads or tails in a row when flipping a coin seven times, we can use a combination of counting and probability.

First, count the number of possible outcomes when flipping a coin seven times. Each flip can result in either heads or tails,

2^7 = 128 possible outcomes.

Next, count the number of outcomes where we flip more than two heads or tails in a row. We can do this by considering the number of ways to arrange three consecutive heads or tails, and then subtracting this from the total number of outcomes.

There are four ways to arrange three consecutive heads:

HHH, THHH, HHHH, and THHHH.

Similarly, there are four ways to arrange three consecutive tails:

TTT, HTTT, TTTT, and HTTTT.

So, total of eight outcomes where we flip more than two heads or tails in a row.

Therefore, the number of outcomes where we don't flip more than two heads or tails in a row is

128 - 8 = 120.

Now, to calculate the probability of this event occurring, we can divide the number of favorable outcomes by the total number of outcomes:

P(not more than two heads or tails in a row) = 120/128 = 15/16

So the probability of not flipping more than two heads or tails in a row when flipping a coin seven times is 15/16, or approximately 0.9375.

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Answer:

y= 11x

Step-by-step explanation:

find the slope: 22-11/2-1= 11/1 or 11

To find the y-intercept you can use the slope by subtracting 11 (inverse operation) from the y value of (1,11). So the y- intercept is (0,0). To write the equation plug in 11 for m and 0 for b. Since 0 has no value the equation would be y= 11x

Answer:

  0, 0.9, 2, √5, 47/14

Step-by-step explanation:

Your calculator can help you round these to 1 decimal place:

  √5 ≈ 2.2

  47/14 ≈ 3.4

Then the order in decimal is ...

  0, 0.9, 2, 2.2, 3.4

In the original form, the order is ...

  0, 0.9, 2, √5, 47/14

_____

Additional comment

When comparing numbers in decimal, the most-significant digits are compared first. The one in the left-most number place is the greatest. If both are in the same number place, then the highest digit is the greatest. if both are the same, then comparison proceeds to consider the digits in the number place to the immediate right.

Here, the most-significant digits of 0, 2, 2.2 and 3.4 are in the units place, so 3 identifies the largest value. Of the remaining, 2.0 and 2.2 have units digits of 2, so we must look at the tenths digit to determine 2.2 > 2.0. Now, we have 3.4 > 2.2 > 2.

The numbers 0.0 and 0.9 both have units digits of 0, so we look at the tenths place to see that 0.9 > 0.0. This puts the numbers in order ...

  3.4 > 2.2 > 2 > 0.9 > 0 . . . . . greatest to least

The order we're interested in is the reverse of this order, least to greatest.

The difference between the selling price and the cost price is the profit he earned.

Profit = Selling Price - Cost Price

Profit = $216 - $180

Profit = $36

To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :

Percentage Profit = (Profit : Cost Price) * 100%

Percentage Profit = ($36 : $180) * 100%

Percentage Profit = 0.2 * 100%

Percentage Profit = 20%

Therefore, his percentage profit is 20%.

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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The measurement closest to the area of the circle in meters is 379.94 sq. meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.

Given that,

diameter = 22m

radius = 22/2 = 11m

The area of the circle is:

A = πr²

Substituting the value of π = 3.14 and r = 11 we have:

A = (3.14)(11)²

A = 379.94

Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.

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Answer:

C  5

Step-by-step explanation:

The two lines can both intersect the circle twice, and can intersect each other once, so 2 + 2 + 1 = 5

The circumference and the area of the circular flower bed are given as follows:

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

The radius is half the diameter, hence it has the value given as follows:

r = 0.5d

r = 0.5 x 12

r = 6.

Then the area is obtained as follows:

A = π x 6²

A = 36π units squared.

The circumference is given by the multiplication of the diameter by π, hence:

C = 12π units.

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The total area of the quilt is: 112.5 square inches

The six-sided figure is given, and we can deduce the following parameters from the question:

The shape is made of a triangle and a rectangle

The side lengths derived from the question are:

The triangle on top:

base: 5 inches and height: 5.18 inches

The rectangle at the bottom:

Base: 16 inches with a height of 7.5 inches

So, we have the total area of the figure to be

Area of figure = 1/2 * 5 * 6 + 13 * 7.5

Area of figure = 112.5

Based on the parameters, the total area is 112.5 square inches

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Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

The exact value of expression sin 9π/4 is,

⇒ sin 9π/4 = 1 / √2

We have to given that;

Expression to find exact value is,

⇒ sin 9π/4

Now, WE can change it into degree as,

⇒ 9π/4

⇒ 9 × 180 / 4

⇒ 9 × 45

⇒ 405 degree

Hence, We get;

⇒ sin 9π/4

⇒ sin 405°

⇒ sin (360 + 45°)

⇒ sin 45°

⇒ 1 / √2

Thus, The exact value of expression sin 9π/4 is,

⇒ sin 9π/4 = 1 / √2

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Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

The height of the kite from the ground when the angle is 50 degrees is 232 feet.

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

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Answer:

(0,-3)=y axis

(-6,3)=y axis

(0,9)= x-axis

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.

The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.

Also, if the parameters are given then the class c is not defined.

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