Yall I need help on this, if you can't, that's fine.

Answer: 13

Step-by-step explanation:

let m = Matt's age

let a = Andy's

:

Write an equation for each statement

:

Matt is four years younger than twice his cousin Andy’s age.

m = 2a - 4

The sum of their ages is greater than 35.

m + a > 35

What is the youngest age that Andy can be?

replace m with (2a-4) from the 1st statement

2a - 4 + a > 35

3a > 35 + 4

a > 39/3

a > 13

least integer has to be a = 14

:

:

Check, find m

m = 2(14) - 4

m = 24

24 + 14 = 38 greater than 35

If a = 13

m = 2(13) - 4

m = 22

22 + 13 = 35 which is not greater than 35

Answer:

b is a correct answer

Step-by-step explanation:

that is correct and right answer.

The sequence 3/4, 4/5, 5/6, 6/7, . . . is diverges option (A)  The sequence diverges is correct.

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.

The sequence can be defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The sequence:

3/4, 4/5, 5/6, 6/7, . . .

AS we know, the convergent sequence occurs when, as n approaches infinity, you arrive at a final and constant term through a number of terms.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

The nth term of the sequence

a(n) = 2+n/3+n

Applying divergence test:

The sequence diverges

Thus, the sequence 3/4, 4/5, 5/6, 6/7, . . . is diverges option (A)  The sequence diverges is correct.

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The missing length in the right triangle is 12 m by pythagorean theorem

The pythagorean theorem can only be applied to right triangles

The longest side of a right triangle is called hypotenuse the other two sides are legs

You can use this theorem to find a missing length or to prove a triangle is right triangle

The missing length in the right triangle with hypotenuse is 13 m and adjacent side is 5m

13²=5²+x²

169=25+x²

144=x²

x=12 m

Hence, the missing length in the right triangle is 12 m

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_ _

| - 17 |

PQ = | - 3 |

| - 37 |

|_ 49 _|

The approximate arc length is 56.52mm.

The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.

The distance between two places along a segment of a curve is known as the arc length.

Given that, the bicycle wheel has a radius (r) = 225 mm

And number of equally spaced spokes (n) = 25

π = 3.14

Perimeter of the bicycle wheel (P) = 2*π*r

Perimeter of the bicycle wheel = 2 * 3.14 * 225 mm

Perimeter of the bicycle wheel = 1413 mm

The arc length = Perimeter of the bicycle wheel (P) / number of spokes (n)

The arc length = 1413 / 25 mm

The arc length = 56.52 mm

The approximate arc length is 56.52mm.

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Answer: Correct, 4.4 is the answer when rounded, but to be more exact, it would be 4.420

Step-by-step explanation:

The only discrepancy is the rounding, the rest of the work is correct. It is subjective to the teacher whether the answer is sufficient or not, but you did a great job otherwise. If your teacher does want preciseness, however, I would not round to 4.5, it would be more accurate as 4.44 when setting up your equation.

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Answer:

a. The coordinates of the first train are (-12,6).  The coordinates of the second train are (20,35).

b. The slope of the line for the first train is \(-\frac{1}{2}\).  The slope is neither horizontal or vertical.  It slopes diagonally downward from left to write since the slope is negative.  In slope-interdept form, it is written as \(y=-\frac{1}{2} x\).  In standard form, it is written as \(x+2y=0\).   The slope of the line for the second train is \(\frac{7}{4}\).  The slope is neither vertical or horizontal.  It slopes diagonally upward from left to right since the slope is positive.  In slope-intercept form, it is written as \(y=\frac{7}{4}x\).  In standard form, it is written as \(-7x+4y=0\).

c. The equarion of a line in slope-intercept form of the new track would be \(y=-\frac{1}{2} x+2\).

Step-by-step explanation:

a.  The way to find the coordinates is either to picture a coordinate grid in your head or to have one out in front of you for a visual.  The first train travels 12 miles west, or 12 units to the left (-12), and 6 miles north, or 6 units up (6).  On a coordinate plane, that would be marked as (-12,6).  The second train travels 20 miles east, or 20 units to the right (20), and 35 miles north, or 35 units up (35).  On a coordinate plane that would be marked as (20,35).  This means that the coordinates of the first train would be (-12,6), and the coordinates of there second train would be (20,35).

b. The way to find slope is to find \(\frac{delta "x"}{delta "y"}\).  "Delta" means "the change in".  The equation would be \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).  So, let's find the slope of the first train's travel path.  We'll use the origin, (0,0), and the stopping point, (-12,6), as our coordinates to find the slope.  \(\frac{0-6}{0-(-12)}=\frac{0-6}{0+12}=\frac{-6}{12}=\frac{-1}{2}=-\frac{1}{2}\).  That makes the slope of the first train's travel path to be (-1/2).  Now, let's find the slope of the second train's travel path.  We'll use the origin, (0,0), and the stopping point, (20,35), as our coordinates to find the slope.  \(\frac{0-35}{0-20}=\frac{-35}{-20}=\frac{35}{20}=\frac{7}{4}\).  That makes the slope of the second train's travel path to be (7/4).  They want to know the equation of the travel path line in slope-intercept form and in standard form, and what the line looks like.  To start off, any vertical line would be undefined, and that would be if the slope was a fraction with a denominator of zero, which doesn't occur for either train path.  A horizontal line  would be if the slope was zero itself and the trains were not moving, but the trains are moving, so that's not possible either.  The way to determine theway a slope is diagonally is to look at whether the slope is positive or negative.  The first train's path slopes negatively, so it moves diagonally downward from left to right, or diagonally upward from right to left (both the same thing).  The second train's path slopes positively, so it moves diagonally upward from left to right, or diagonally downward from right to left.  Finally, the equations for this part of the question.  For both trains, the origin is the y-intercept, so the y-intercept does not have to be written in the slope-intercept equation.  The slope-intercept form of an equation of a line is \(y=mx+b\) where "m" is the slope and "b" is the y-intercept.  The "b" value is 0, so that will not be written.  The slope for the first train is (-1/2), so the slope-intercept form of the first train's travel path is y=(-1/2)x.  The slope of the second train is (7/4), so the slope-intercept form for this train's path is y=(7/4)x.  As for standard form, subtract the "mx" value from both sides, and set the equation equal to 0. Also, get rid of any fractions. So, for the first train, standard form would be x+2y=0.  And for the second train, standard form would be -7x+4y=0.

c.  Parallel means having the same slope but a different y-intercept.  The second train station would be placed two miles north, or two units up, from the first train station.  The first train station is at (0,0), so the second train station would be placed at (0,2).  That makes 2 the y-intercept for if the first train had taken the second train station's travel route.  The slope for the intitial route was (-1/2), so that will stay the same.  Therefore, the equation of thr route taken if the first train had come out of the second train station, if it was already built, would be y=(-1/2x)+2.

Answer:

-4,-3

Step-by-step explanation:

Answer: I can't see the 4th answer but i and going to guess it's (-4,-3).

I think you answer is D. (-4,-3).

I hope it's right

The completed table for the amount of water in the tank at the given time given a constant flow rate of 1.6 is given below :

From the table given :

0.8 gallons of water flowed into the tank in 0.5 minutes ;

Since the flow rate is constant ; we can relate the amount of water, w, flowing into the tank at time, t as thus ;

w α t

w = kt ; where, k = constant of proportionality ;

We can obtain the value of k when w = 0.8 and t = 0.5

Therefore,

0.8 = 0.5k

Divide both sides by 0.5

(0.8÷0.5) = k

k = 1.6

Hence the flow rate of water into the tank is 1.6 ; the equation can be then be written thus ;

w = 1.6t

Let's find ;

w, when t = 1

w = 1.6(1)

w = 1.6

w, when t = 3

w = 1.6(3)

w = 4.8

4.8t, when w = 40

40 = 1.6t

Divide both sides by 1.6

(40 ÷ 1.6) = t

t = 25

Therefore, the constant of proportionality, k is 1.6

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We would need to know the distribution of the revenues, such as whether it follows a normal distribution or some other distribution. Additionally, we would need the specific values of the mean, standard deviation, UCL, and LCL.

To calculate the probability that the true average revenues per hour will be either greater than the Upper Control Limit (UCL) or lower than the Lower Control Limit (LCL), we need more information about the data distribution and the control limits themselves.

Control limits are typically used in statistical process control (SPC) to determine whether a process is stable and within the acceptable range of variation. They are derived from the process data and define the boundaries within which the process is expected to perform.

If we have a normal distribution assumption for the data and know the mean (μ) and standard deviation (σ), we can calculate the probability using the z-score and the standard normal distribution.

Let's assume we have the following information:

- Mean (μ) of the data.

- Standard deviation (σ) of the data.

- UCL and LCL values.

To calculate the probability of the true average revenues per hour being outside the control limits, we can use the z-score formula:

z = (x - μ) / (σ / sqrt(n))

Where:

- x is the value we are interested in (UCL or LCL).

- μ is the mean of the data.

- σ is the standard deviation of the data.

- n is the sample size.

Once we have the z-score, we can consult a standard normal distribution table or use statistical software to find the corresponding probability.

Please provide the necessary information (mean, standard deviation, UCL, LCL, and sample size) so that I can help you calculate the probability.

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Answer:

C = 600 + 50s

Step-by-step explanation:

The students are planning to visits the Canada's wonderland. The students will spend a full day at the park.

The entry fee for each student is $50 and the bus cost is $600. Each student will pay $50 for entry into the park.

Let

the number of student  = s

cost of the trip = C

Relating the variable C and s

The total amount of money the student will pay for entry fee = 50 × s = 50s

Therefore, cost of the trip can be expressed as follows

C = 600 + 50s

Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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Answer:

m = N/A

Step-by-step explanation:

Can you give me a curve or something?

Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.

A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.

The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.

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Answer:

Inferential statistic

Step-by-step explanation:

The art of making deductions or data driven predictions from statistical data refers to an aspect of statistics called Inferential statistics. Inferential statistics differs from descriptive statistics which is another aspect which focuses on presenting characteristics of data. Here, we make statistical deductions about the entire population from the results obtained about the sample statistic. In the scenario above, the statistic derived from the sample data will be used to make deductions about the general population of students who park in the university. Therefore, from the statistic obstaied from the sample, we infer about the population.

Answer:

holly has 23 barrettes

Step-by-step explanation

g = 29+h

52 - 29 = 23

holly has 23

When x = 0, y = 2(0) - 2 = -2. So one point is (0, -2). When x = 1, y = 2(1) - 2 = 0. So another point is (1, 0).

To graph the equations 2x - y - 2 = 0, 4x - 3y - 24 = 0, and y + 4 = 0, we need to plot the points that satisfy each equation and connect them to form the lines.

1. Equation: 2x - y - 2 = 0

To plot this equation, we can rewrite it in slope-intercept form:

y = 2x - 2

Now we can choose some x-values and calculate the corresponding y-values to plot the points:

When x = 0, y = 2(0) - 2 = -2. So one point is (0, -2).

When x = 1, y = 2(1) - 2 = 0. So another point is (1, 0).

Plot these points on the graph and draw a line passing through them:

```

    |

    |

0   |     ● (1, 0)

    |

    |     ● (0, -2)

-2 __|_____________

    -2    0    2

```

2. Equation: 4x - 3y - 24 = 0

Again, let's rewrite this equation in slope-intercept form:

y = (4/3)x - 8

Using the same process, we can find points to plot:

When x = 0, y = (4/3)(0) - 8 = -8. So one point is (0, -8).

When x = 3, y = (4/3)(3) - 8 = 0. So another point is (3, 0).

Plot these points and draw the line:

```

    |

    |

0   |             ● (3, 0)

    |

    |                   ● (0, -8)

-8 __|______________________

    -2     0    2    4

```

3. Equation: y + 4 = 0

This equation represents a horizontal line parallel to the x-axis, passing through the point (0, -4).

Plot this point and draw the line:

```

    |

    |

-4   |       ● (0, -4)

    |

    |

    |______________________

    -2     0    2    4

``

So, the graph of the three equations would look like this:

```

    |

    |

0   |             ● (3, 0)                      ● (1, 0)

    |                   |                               |

    |                   |                               |

-4 __|___________________|_______________________________

    -2     0    2    4

```

Note that the lines representing the equations 2x - y - 2 = 0 and 4x - 3y - 24 = 0 intersect at the point (1, 0), which is the solution to the system of equations formed by these two lines. The line y + 4 = 0 represents a horizontal line parallel to the x-axis, located 4 units below the x-axis.

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Using the k-Nearest Neighbours algorithm with k=1 and the Euclidean metric, the Y_test values for the given test data are [0, 3].

To determine the Y_test values using k-Nearest Neighbours with k=1 and the Euclidean metric, we follow these steps:

Define the training data: X_train contains five samples with corresponding labels Y = [0, 1, 2, 1, 3].

Define the test data: X_test contains two samples, [3,3] and [9,1].

Calculate the Euclidean distance between each test sample and all training samples. For [3,3]:

Distance to [1,1] = sqrt((3-1)^2 + (3-1)^2) = sqrt(8) ≈ 2.83

Distance to [8,3] = sqrt((3-8)^2 + (3-3)^2) = 5

Distance to [2,6] = sqrt((3-2)^2 + (3-6)^2) = sqrt(10) ≈ 3.16

Distance to [9,4] = sqrt((3-9)^2 + (3-4)^2) = sqrt(34) ≈ 5.83

Distance to [7,2] = sqrt((3-7)^2 + (3-2)^2) = sqrt(13) ≈ 3.61

For [9,1]:

Distance to [1,1] = sqrt((9-1)^2 + (1-1)^2) = sqrt(64) = 8

Distance to [8,3] = sqrt((9-8)^2 + (1-3)^2) = sqrt(5) ≈ 2.24

Distance to [2,6] = sqrt((9-2)^2 + (1-6)^2) = sqrt(58) ≈ 7.62

Distance to [9,4] = sqrt((9-9)^2 + (1-4)^2) = 3

Distance to [7,2] = sqrt((9-7)^2 + (1-2)^2) = sqrt(5) ≈ 2.24

Find the closest neighbour for each test sample based on the minimum Euclidean distance:

For [3,3], the closest neighbour is [1,1] with a distance of 2.83.

For [9,1], the closest neighbour is [7,2] with a distance of 2.24.

Retrieve the corresponding labels of the closest neighbours from the training data:

For [3,3], the closest neighbour has a label of 0.

For [9,1], the closest neighbour has a label of 3.

Assign the labels to Y_test:

For [3,3], Y_test = 0.

For [9,1], Y_test = 3.

Therefore, the Y_test values for the given test data are [0, 3].

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Answer:

2 x 2+ 8 x 0= 4

Step-by-step explanation:

Answer:

c.16

hope this helps some one, have a nice day :)

Step-by-step explanation:

i just took the quiz and got it correct

Geophysics survey methods aid in geometric road design by identifying soil layers with varying properties, such as strength, bearing capacity, compressibility, and deformation. This information helps engineers determine the best location, optimal design, and material requirements. Geophysical survey methods also help identify sinkholes and subsurface features, ensuring solid ground for road construction.

Geophysics survey methods are essential in geometric road designs, as they help identify soil layers with varying properties and strengths. These properties include soil strength, bearing capacity, compressibility, and deformation. Understanding these properties helps engineers determine the best location, optimal design, and material requirements for the road. Geophysics survey methods are particularly useful in locating buried utilities and identifying potential sinkholes, underground cavities, and other subsurface features that could affect road construction. This information is crucial for ensuring the road is built on solid ground that supports vehicle weight and withstands environmental factors.

The information obtained from geophysics survey methods can be used to create a subsurface map of the road site, which is then used to develop the best road design. Overall, geophysics survey methods are crucial in determining the properties of soil and subsurface features in geometric road designs, ultimately ensuring a safe and environmentally friendly road.

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Answer:

20 meters

Step-by-step explanation:

The track is circular so it means that after Patrick raced the entire track he is back at the starting point. In other words, every 440 meters he is back to the beginning.

So we would have that, if he races round the track twice, he would run 440(2) = 880 meters and he would be back at the starting point.

The problem asks us how far is he from the starting point at the 900 meter mark. If at 880 meters he is at the starting point, then at 900 meters he would be \(900-880=20\) meters from the starting point.

Answer: 15

Step-by-step explanation:

y = 5

3(y) = answer

3(5) = 15.

In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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If this experiment was performed many times you would expect that the average number of heads is 5.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

From the graph,

The theoretical probability of getting 5 heads in ten flips of a fair coin.

= 0.25

= 25%

And,

The theoretical probability of getting 0 and 10, 1 and 9, 2 and 8, 3 and 7, and 4 and 6 heads is equal.

The average number of heads.

= (0 + 10)/2 = 5

Similarly,

(1 + 9)/2 = 10/2 = 5

(2 + 8)/2 = 10/2 = 5

(3 + 7)/2 = 10/2 = 5

(4 + 6)/2 = 10/2 = 5

So,

If this experiment was performed many times you would expect that the average of heads is 5.

Thus,

The expected average number of heads is 5.

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Answer:

5

Step-by-step explanation:

The answer above is correct.

Answer:

Β. ΔEFH, ΔEGF, ΔFGH