Each sundae counts as three , find the mean of the data in the pictograph below. Plsss :)

The form of association that would be found in the variables would be:

As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.

The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.

As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.

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The definite integral of a continuous function on an interval [a, b] represents the area under the graph of the function within that interval. It provides a mathematical way to measure the accumulation of change of the function over that interval.

The definite integral of a function f on the interval [a, b] is denoted by ∫f(x)dx over the interval [a, b]. This integral can be approximated by dividing the interval [a, b] into smaller subintervals and calculating the area under the graph of the function over each subinterval. The smaller the subintervals, the closer the approximation will be to the actual definite integral.

The definite integral is said to be a limit, meaning that as the size of the subintervals approaches zero, the sum of the areas under the graph over each subinterval approaches a definite value, which is the definite integral.

In mathematical terms, for each positive number e, there exists a positive number δ such that if the subintervals have width less than δ, then the difference between the sum of the areas under the graph and the definite integral will be less than e. This means that the definite integral provides a precise value for the area under the graph of the function over the interval [a, b].

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The inequality is used to find the domain of the given function is

5x-5 ≥ 0

A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.

Given is function y = √(5x-5)+1, we have to find which inequality can be used to find the domain.

Since, the function is a square root function.

We know that,

The square root function is defined only for the positive values, including 0. i.e. the expression inside the square root must be greater than or equal to 0.

The expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :

5x-5 ≥ 0

Hence, the inequality is used to find the domain of the given function is 5x-5 ≥ 0

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The missing statement in the proof specified is given by: Option B: ∠BCA≅∠DCB

What is the reflexive property of congruence?

According to the reflexive feature of congruence, the geometric quantity under consideration—be it an angle, a line segment, a form, etc.—is congruent to itself.

The third step's key concept in this instance is the "Reflexive Property of Congruence."

The fourth phase comes to the conclusion that the ΔABC~ΔBDC criteria for similarity are met.

Since it was established in the second stage that ∠ABC≅∠BDC

Therefore, in order for the fourth step to apply angle-angle similarity, which requires the angles of two considered triangles to be congruent, we must demonstrate another angle pair of triangles ΔABC and ΔBDC being congruent in the third step.

Internal angle C is the common angle in the triangles ABC and BDC.

As a result, it is consistent with itself due to its reflexive characteristic.

We obtain the following notation for internal angle C from triangle ABC:

Angle ACB and BCA(both will work)

Triangle BDC gives us the following notation for internal angle C:

Angle DCB and BCD(Both will function.)

They fit together. The second choice takes angle C into account, so:

∠BCA≅∠DCB (second option) is the missing statement.

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The given box plots, we can conclude that Fast Chicken typically has a longer median wait time compared to Super Fast Food, but we cannot make any conclusions about the mean wait time without additional information.

What is data collection ?

Data collection is the process of gathering and measuring information on a particular subject or variable of interest. In order to conduct data collection, researchers typically use various methods and techniques, such as surveys, experiments, observations, and interviews, to collect data from individuals, groups, or organizations.

Data collection is a critical component of the research process, as the quality and accuracy of the data collected can significantly impact the outcomes of the study. The data collected can be quantitative or qualitative, and may include a wide range of variables such as age, gender, income, education level, health outcomes, attitudes, behaviors, and many more.

Once the data is collected, researchers typically analyze and interpret the data using statistical methods and techniques to derive meaningful insights and conclusions from the data. These insights can be used to address research questions or to inform decision-making in various fields such as business, healthcare, social sciences, and many more.

Overall, data collection is an important step in the research process that helps to provide a foundation for accurate and reliable information and analysis.

Based on the given box plots, we can compare the wait time data collected from the two different drive-thru restaurants: Fast Chicken and Super Fast Food. The box plot for Fast Chicken has a median wait time of 12.5 minutes, which is higher than the median wait time of 12 minutes for Super Fast Food. Therefore, we can infer that on average, customers at Fast Chicken experience a longer wait time than customers at Super Fast Food.

Additionally, we can also compare the ranges of the wait time data for the two restaurants. The box plot for Fast Chicken has a range of 15 minutes (from 10 to 25 minutes), while the range for Super Fast Food is 24 minutes (from 8.5 to 32.5 minutes). This indicates that the variability in wait times is higher for Super Fast Food compared to Fast Chicken.

However, we cannot determine the mean wait time for each drive-thru from the given box plots, as the mean is not typically included in a box plot. Instead, box plots show the median and quartiles of the data set. The median represents the middle value in the data set, while the quartiles divide the data into four equal parts, with the upper quartile (Q3) representing the 75th percentile of the data set and the lower quartile (Q1) representing the 25th percentile.

Therefore, based on the given box plots, we can conclude that Fast Chicken typically has a longer median wait time compared to Super Fast Food, but we cannot make any conclusions about the mean wait time without additional information.

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We shall take a quick reminder of the properties of a rhombus.

All sides are equal in measure

The opposite sides are parallel

The diagonals bisect each other at right angles

Opposite angles are equal in measure

Therefore, we can deduce the following from the given rhombus;

If JL bisects MK, then

If MK bisects JL, then line

Also, in triangle MJN,

MN = 12,

JN = 10,

Angle J = 50

Angle N = 90

Therefore angle M = 40

(All three angles in a triangle sum up to 180)

Therefore, in right angled triangle MJN, with the right angle at N,

All sides are equal, therefore,

JM = ML = 15.6

Since line MK has been bisected by line JL, then

Also angle MJL equals 50, and line JL bisects angle J, then

If angle MJL and angle KJL both measure 50, then angle MJK equals 100 (50 + 50).

Opposite angles of a rhombus are equal, hence

If KJL = 50, and JNK = 90, then

If JKM = 40, then

So the answers are;

NK = 12

NL = 10

ML = 15.6

JM = 15.6

Answer:

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

4x + 12y = 4(x + 3y)

35x + 50y = 5(7x + 10y)

18x + 9y = 9(2x + y)

32x + 8y = 8(4x + y)

100x + 700y = 100(x + 7y)

Answer:

10sec φ

Step-by-step explanation:

5 csc φ tan φ + 5 sec φ

= 5 (1/sin φ) * (sin φ/cos φ) + 5 sec φ

= 5 (1/cos φ) + 5 sec φ

= 5 sec φ + 5 sec φ

= 10 sec φ

Answer:

B. Survey 1,000 people aged below 25 who read newspapers

Step-by-step explanation:

It's the youth in the community so it's obviously people below 25 and we need more responses to get a more unbiased opinion.

Answer:

64

Step-by-step explanation:

6(12-3) + 4 + (3×2)

6(9) + 4 + 6

54 + 4 + 6

= 64

Answer:

2x^7

Step-by-step explanation:

add the exponents because they both are x

2x^4*x^3=2x^7

Answer:

Divide the numerator and denominator

Step-by-step explanation:

A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. The unit price is a type of ratio where the numerator is the price and the denominator is the quantity of a good or product.

Answer:

Cant see 4 but when you divide 1/2 by 3/10 you get 1 and 2/3. So pretty sure answer is 1.

Step-by-step explanation:

The answer would be...

1) 1 2/3

Have a great day/night! :D

The rotation is 90 degree about the origin. The rule can be express below

Therefore,

Note this is a clockwise 90 degree rotation.

1.67. Roll a fair die repeatedly and let \(\mathbf{Y_1, Y_2...}\) be the resulting numbers. Let \(\mathbf{X_n = |\{Y_1, Y_2,...,Y_n\}|}\) be the number of values we have seen in the first n rolls for n ≥ 1 and set X₀ = 0. Xₙ is a Markov chain. (a) The transition probability is:

\(\mathbf{P = \left[\begin{array}{ccccc}\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3} \\ \\\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6} \end{array}}\right]\)

E(T) = E(Time until absorption) is expressed as:

\(\mathbf{E(T) =\ \left[\begin{array}{c}1 \\ \\ 1 \\ \\ 1 \\ \\ 1 \end{array}}\right] } \\ \\\)

The transition probability is the likelihood of a system transitioning from one phase to another.  If a Markov chain seems to be in state a, the transition probability \(\mathbf{p_{ab}}\) , is the likelihood of transitioning to state b at the next time interval.

From the information given:

\(\mathbf{P = \left[\begin{array}{ccccc}\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3} \\ \\\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6} \end{array}}\right]\)

B.

Let take state 6 to turn into an absorbing state, then the transition probability matrix can take the form:

\(\mathbf{\implies \left[\begin{array}{ccccc}\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3} \\ \\\ 1&0&0&0&0 \end{array}}\right]\)

\(\mathbf{Q = \left[\begin{array}{cccc}\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6} \\ \\ \dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6} \\ \\ \dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3} \\ \end{array}}\right]\)

As such F = (I-Q)⁻¹

\(\mathbf{F \implies \left[\begin{array}{cccc}1&0&0&0\\ \\ 0&1&0&0 \\ \\0&0&1&0 \\ \\ 0&0&0&1\end{array}\right] - \left[\begin{array}{cccc}\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6} \\ \\\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6}&\dfrac{1}{6} \\ \\ \dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3}&\dfrac{1}{6} \\ \\ \dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{6}&\dfrac{1}{3} \\ \end{array}}\right] } \\ \\\)

\(\mathbf{F \implies \ \left[\begin{array}{cccc}\dfrac{2}{3}&-\dfrac{1}{6}&-\dfrac{1}{6}&-\dfrac{1}{6} \\ \\-\dfrac{1}{6}&\dfrac{2}{3}&-\dfrac{1}{6}&-\dfrac{1}{6} \\ \\ -\dfrac{1}{6}&-\dfrac{1}{6}&\dfrac{2}{3}&-\dfrac{1}{6} \\ \\ -\dfrac{1}{6}&-\dfrac{1}{6}&-\dfrac{1}{6}&\dfrac{2}{3} \\ \end{array}}\right] } \\ \\\)

∴

E(T) = E(Time until absorption) is expressed as:

\(\mathbf{E(T) =\ \left[\begin{array}{c}1 \\ \\ 1 \\ \\ 1 \\ \\ 1 \end{array}}\right] } \\ \\\)

Therefore, from the above explanation, we have clearly understood the transition probability and the E(Time until absorption).

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The distance that the plane traveled from point A to point B is given as follows:

10,750 ft.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

The altitude of 5375 feet is the opposite angle, hence the position A is obtained as follows:

tan(15º) = 5375/A

A = 5375/tangent of 15 degrees

A = 20060 ft.

The position B is obtained as follows:

B = 5375/tangent of 30 degrees

B = 9310 ft.

Hence the distance is of:

20060 - 9310 = 10,750 ft.

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The method that determines the volume of the prism is simply multiply the area of the base by the height, and the result is 12.5 cm³. (option-a)

To determine the volume of the prism shown in the diagram, we need to multiply the area of the base by the height.

The base of the prism is a rectangle with dimensions 5 cm by 2 cm. Therefore, the area of the base is:

A = length x width = 5 cm x 2 cm = 10 cm²

The height of the prism is 2-¹ cm, which is equivalent to 5/4 cm.

Therefore, the volume of the prism is:

V = A x h = 10 cm² x 5/4 cm = 12.5 cm³

The expressions involving unit cubes and one-quarter cubes are not relevant to this problem and do not provide a method for finding the volume of the prism.

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Answer:

the perdom

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

x = 6√2

Step-by-step explanation:

It is a 45°45°90° triangle so you can use the ratio.

x : x√2

x = 6√2

Answer:

m = -6

Hope you could understand.

If you have any query, feel free to ask

The required simplified solution of the given expression is m =-6.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,

Given expression,
-0.6(m+1)=3.

Simplifying,
m + 1 = 3 / -0.6
m = -5 -1
m = -6

Thus, the required simplified solution of the given expression is m =-6.

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Answer:

6 reams

4 x .89= $3.56

$13.70 - $3.56 = $10.14

$10.14 / $1.69 = 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation

So you have bought 4 note books each for $0.89 each. Right off the bat we  have to multiply the 0.89c by the number of books we bought which is 4.

$0.89 x 4 = $3.56

And contuniung in it says that you bought some reams of paper and a ream of paper costs $1.69. And they want to know how much you bought if you spent $13.70 in totall. So all we have to do now is sumbtract the amount of money spent on the 4 notebooks to see how much money is left.

$13.56 -$3.56 = $10.14

Now to find the final answer we have to divide the $10.14 by $1.69 no find out how much reams of paper we bough.

$10.14 ÷ $1.69 = 6

There for the total amount of reams of papar we bought is 6.

b'

Let the given points be A(3,-5) and B(5,-1).

AB= sqrt of (5−3) ² +(−1+5)²

= sqrt of 4+16

= sqrt of 20

=2 sqrt of 5 units

the easy way to think about it is that by dividing by 10^3 you are actually multipling by 1/10^3 which you can write as 10^-3 and the negative means that the decimal place moves to the left. so we move the decimal places (which is to the right of the 4 in the number above) 3 places to the left giving us: 6.714

The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

The actual dimensions of the patio are 20 feet by 16 feet.

The scale factor is 1 inch to 4 feet,

This means that 1 inch on the scale drawing represents 4 feet in reality.

So the dimensions of the scale drawing are:

20 feet x (1/4) = 5 inches (length on scale drawing)

16 feet x (1/4) = 4 inches (width on scale drawing)

The area of the actual patio is:

= 20 feet x  16 feet

= 320 square feet

The area of the scale drawing is:

= 5 inches x 4 inches

= 20 square inches

The ratio of the area of the scaled drawing to the actual area of the patio is: 20 square inches : 320 square feet

To simplify this ratio, we need to convert both values to the same units.

Converting the area of the scale drawing to square feet:

= 20 square inches x  (1/144) square feet/square inch

= 0.1389 square feet

So the ratio of the area of the scaled drawing to the actual area of the patio is:

0.1389 square feet : 320 square feet

Or, in simplified form:

1 : 2306.56

Thus,

The ratio of the scaled area to the actual area of the patio is 0.1389 square feet : 320 square feet or 1 : 2306.56

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The given expression : 5x - 15

Take 5 common :

5x - 15 = 5 ( x - 3)

So, the expression

5x - 15 = 5( x - 3)

Answer: 5x - 15 that is a product of two expressions is 5(x - 3)

Answer:

You should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.

Step-by-step explanation:

Using the formula

\(I = Prt\)

where

I = Interest earned

P = The principal (let say in $)

r = The Interest Rate

t = time

Given that

Thus,

\(I = Prt\)

100 = P × 5% × 1

100 = P × 5/100 × 1

100 × 100 = P × 5

10000 = P × 5

P = 10000/5

  = 2000 (let say in $)

Thus, you should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.

The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.

When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.

In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.

The total points earned in this situation would be 8, which is not equal to 0.

In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.

In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.

Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.

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The probable question may be:

In which of these situations do the quantities combine to make 0?

A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.

B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.

C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.

D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.