You paid $32.00 for 8 gallons of gasoline. How much would you pay for 10
gallons of gasoline?

The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C

Selection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.

In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.

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Answer:

what are the numbers my g

Step-by-step explanation:

The difference in temperature is 45.9F.

It is required to find the difference in temperature is F.

The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.

Given that:

The temperature in a town is 32.1 during the day and -13.8 at night.

The difference is

32.1 - (-13.8)

= 32.1 + 13.8

= 45.9F

Hence, the difference in temperature is 45.9F.

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data is missing

The temperature in a town is 32.1 during the day and -13.8 at night.

Answer:100,000

Step-by-step explanation:

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

Cost of 2 pack = 0.95

Cost of 1 pack = 0.95 ÷ 2 = 0.475

Unit price = 0.475

Answer:

Step-by-step explanation:

let x be the price of ticket,then

120-x=3(80-x)

120-x=240-3x

3x-x=240-120

2x=120

x=120/2=60

Price of ticket=$60

Mr.Chandra has 80-60=20 $ after buying the ticket.

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

neither

Step-by-step explanation:

using (y2-y1)/(x2-x1) you get the actual slopes which are JK = 3/2 and LM = -3/2

since they are neither the same (parallel), opposite reciprocals (perpendicular), they are neither parallel nor perpendicular

Answer:

We know that the angle which lineer and divided by |AB| equal to 130°

Step-by-step explanation:

if 130° look at the 2x+260 we can say that 2x+260=260° so X equal to Zero (0)

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

Answer:

\(y\geq 1\)

Step-by-step explanation:

The parabola is facing upwards and the vertex is (0,1) so the range would be \(y \geq 1\).

Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is represented by a capital letter. The number of elements in the finite set is known as the cardinality (or the cardinal number) of a set. Let us take an example:

A = {1, 2, 3, 4, 5 }

Since a set is usually represented by the capital letter. Thus, A is the set and 1, 2, 3, 4, 5 are the elements of the set or members of the set. The elements that are written in the set can be in any order but cannot be repeated. All the set elements are represented in small letter in case of alphabets. Also, we can write it as 1 ∈ A, 2 ∈ A etc. The cardinal number of the set is 5. Some commonly used sets are as follows:

N: Set of all natural numbers

Z: Set of all integers

Q: Set of all rational numbers

R: Set of all real numbers

Z+: Set of all positive integers

A non empty is a set that has one or more elements.A “set” is just a well-defined collection of distinct objects, and their union—the set—is an object itself. A set can contain anywhere from 0 to an infinite number of items.

Finite sets are sets having a finite/countable number of members. Finite sets are also known as countable sets, as they can be counted. The process will run out of elements to list if the elements of this set have a finite number of members

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In response to the given query, we can state that As a result, during the interest first month, the young CEO paid $558.37 in interest.

Divide the capital by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing strategy. This method makes it easiest to compute interest. The most typical method to figure out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a friend and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is typically determined as an annual percentage of the loan amount. The interest on the debt is this percentage.

P is equal to A * ((1 - (1 + r/n)(-n*t))/(r/n)).

When we enter the numbers from the issue, we obtain:

P = 122000

A = 719.97

r = 0.056

n = 12 (since interest is compounded monthly)

t = 28

The result of the algorithm is:

P = 719.97 * ((1 - (1 + 0.056/12)^(-12*1))/(0.056/12))

P = 119,821.73

The remaining amount is $119,821.73 after a year.

Total payments less principal paid equals interest received.

Monthly payment minus monthly interest equals principal paid.

Where monthly interest equals (12/interest rate) * the outstanding amount

When we enter the numbers from the issue, we obtain:

Interest paid monthly equals (0.056/12) x 119821.73

Interest per month equals 558.37

Principal payment equals 558.37 minus 719.97.

Paid principal equals 161.60

The quantity of interest that was paid in the first month is as follows:

Interest paid equals 719.97 minus 161.60.

$558.37 in interest was paid.

As a result, during the first month, the young CEO paid $558.37 in interest.

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The point on the circle that corresponds to the angle will be:

From the complete question, the point on the circle that best corresponds to the angle is illustrated above.

Also, the least positive angle that is coterminal with 747° will be:

= 747 - 720

= 27°

The least positive angle that is coterminal with 1074° will be:

= 1074 - 720

= 354°

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The final matrix will be as follows   \(\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right]\)

A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns in mathematics.

The calculation of the given matrix is as follows:-

\(\rm D-C= \left[\begin{array}{ccc}13&2&-5\\6&-4&0\\\end{array}\right] - \left[\begin{array}{ccc}1&4&-8\\3&-5&2\\\end{array}\right] \\\)

\(\rm D-C= \left[\begin{array}{ccc}(13-1)&(2-4)&(-5+8)\\(6-3)&(-4+5)&(0-2)\\\end{array}\right]\)

\(\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right]\)

Hence the final matrix will be as follows   \(\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right]\)

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Answer:

67,43/10 = 6.743

When dividing any number by 10, you just move the decimal to the left. When multiplying, you move it to the right.

Step-by-step explanation:

Hope it helps! =D

Answer: y = 2x - 8

Step-by-step explanation:

When x = 0, y = -8. This is the y-intercept.

As x increases by 1, y increases by 2. This makes 2 the slope.

The equation for the linear relationship given, in slope-intercept form is y = 2x-8

The slope-intercept form of a linear equation is where one side contains just "y". So, it will look like: y = mx + b where "m" and "b" are numbers.

Given that, coordinates representing a linear relationship.

x → 0, 1, 3, 4

y → -8, -6, -2, 0

We need to find an equation for the given linear relationship in slope-intercept form,  

Considering points, (0, -8) and (4, 0)

We know that, the equation of a line passing through, two points is given by,

y-y₁ = (y₂-y₁) / (x₂-x₁) (x-x₁)

Here, y₁ = -8, y₂ = 0, x₁ = 0, x₂ = 4

Therefore, the equation is =

y+8 = 8/4(x-0)

y+8 = 2x

y = 2x-8

Hence, the equation for the linear relationship given, in slope-intercept form is y = 2x-8

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6.5 / 12 = x / 24

x = 6.5 × 24 / 12

x = 6.5 × 2

x = 13

Answer:

Step-by-step explanation:

x/y=x/y

6.5/12=x/24

do cross multiplication

12x=24*6.5

x=156/12

x=13

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:it’s c

For an isosceles triangle, a leg is congruent to the other leg. A leg is not necessarily congruent to the base. The correct solution found by solving the equation 2x = 3x - 5 is x = 5. The length of the top left side is 10, and the length of the bottom left side is 10.

In Mathematics and Geometry, an isosceles triangle simply refers to a type of triangle with two (2) sides that are equal in length and two (2) equal angles.

This ultimately implies that, an isosceles triangle comprises two (2) side lengths that are equal and two (2) angles with the same magnitude.

In this isosceles triangle, we have the following equation;

2x = 3x - 5 (two (2) side lengths are congruent).

3x - 2x = 5

x = 5 units.

For the bottom left side, we have;

3x - 5 = 3(5) - 5 = 15 - 5 = 10 units.

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Answer:

The surface area is 65.94 ft

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).

A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.

According to the given information

According to the information given in the graph

We got the following true Statements

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

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Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

Answer:

the measure of center that best describes the data is the median

Step-by-step explanation:

Measures of central tendency can be measured using the mean and median

Arranging the data: 8, 11, 12, 14, 15, 18, 42

The mean = (sum of values)/(number of values in the data set)

number of values in the data set = 7

The mean = (8+ 11+ 12+ 14+ 15 +18 + 42)/7

The mean = 120/7

The mean = 17.14

The median of the data = 14

To determine the measures that best describes the data, we would compare the data and result obtained as mean and median.

Most times the mean is used to describe the data but if their is an outlier, the median is preferred.

We can tell from the data that their is an outlier (42). It is far from other numbers in the data set.

Also, the median best describes the scores because the mean is higher than most of the scores in the data set.

Therefore, the measure of center that best describes the data is the median

Answer: because they were right for each other.

Step-by-step explanation:

The cause due to which the triangles 30-60-90 married the triangle 45-45-90 would be:

They were right for each other.

The sum of property of triangle states that the three angles of triangle give the sum of 180°.

Given that,

Two sets of triangles having the measures:

First set = 30°-60°-90°

Second set = 45°-45°-90°

The first set marries the other as they both are right i.e. 90° to one another and give an equal sum of 180°.

Thus, the above answer is correct.

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