Solve the right triangle. Find ST, m Round your answers to the nearest whole number.

False. Line charts are best suited for representing data that follows a sequential order, such as time series data. Nonsequential data is better represented by other types of charts, like scatter plots or bar graphs.

Line charts are graphical representations of data points connected by lines. They are commonly used to display trends over time or sequential data. For example, they are often used to show the change in stock prices over a period of time or the temperature variations throughout the day. This sequential order is the key feature of line charts.

However, for data that does not follow a sequential order, line charts may not be the best choice. Nonsequential data, such as categorical or unrelated data points, are better represented by other types of charts. Scatter plots, for instance, are useful for showing the relationship between two variables that are not necessarily ordered. Bar graphs can also be used to compare nonsequential data points in different categories.

In summary, line charts are not best suited for representing data that follows a nonsequential order. They are most effective when used to display data that has a clear sequential relationship, allowing for easy interpretation of trends and patterns.

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Answer:

6g + 102

Step-by-step explanation:

The rate of increase of the depth of the water (W(t)) is constant.

What is rate ?

In mathematics and physics, the rate is a measure of change of a certain quantity with respect to another quantity. The rate can be a number, a ratio or a derivative. It is often represented by the symbol "d" or "dx/dt" or "dy/dt" and it measures how fast a quantity is changing.

Water is poured into the top half of a spherical tank at a constant rate, this means that the rate of increase of the depth of the water (W(t)) is constant.

In this case, W(t) is constant.

It is important to keep in mind that the rate of change of the function doesn't indicate the shape of the function, it just tells us the change of the dependent variable with respect to the independent variable. The shape of the function can be visualized by creating a graph of the function.

So , The rate of increase of the depth of the water (W(t)) is constant.

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ΔABD ≅ ΔCBD based on the SAS Congruence Postulate.

The SAS Congruence Postulate is a principle in geometry that states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Since B is the midpoint of AC, therefore AB ≅ CB (one pair of congruent sides).

Based on the reflexive property of congruence, BD ≅ BD (another pair of congruent sides).

Since AC is perpendicular to BD, therefore angles ABD and CBD are right angles, which means <ABD ≅ <CBD (one pair of included congruent angles).

Therefore, based on the SAS congruence postulate, ΔABD ≅ ΔCBD.

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Function a)

Maximum = 2 , Minimum = -2

Amplitude= 4/2= 2

y = A• Cos ( ? )

When x= 2/3π y = 0

π/2 - 2/3π = π•(1/2 - 2/3)

Then

y= A• Cos ( X - π/6 )

y= 2• Cos (X - π/6 )

__________________________________

Function b

Maximum = 4, Minimum= 2

Amplitude A= 2/2= 1

y= A• Sin (?)

When x= -π/3,. y = 2

Then

y = A• Sin( X + π/3 ) + 2

y = Sin (X + π/3 ) + 2

Answer:

The greatest common factor is 5.

15x+10=5(3x+2)

the radius, in centimeters, of this circle is 3 centimenters.

The area of ​​the circle is calculated through the product between the constant π and the measurement of the radius squared (r²). Thus, we have the following formula: A = π .

The formula for the area of a circle is given by:

A = πr^2

Knowing that the area is 9π.

Putting the values in the formula:

\(9 \pi = \pi r^2\\9=r^2\\r=3\)

Therefore, the radius of the circle is 3 centimeters.

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The value of the z-test statistic is 1.79.

We have,

In this sampling scenario, we are trying to test whether the average score on a nationwide biology examination is different from 501.

We took a random sample of 100 exam scores, and the sample mean (average) was found to be 515, with a standard deviation of 78.

To determine an appropriate test statistic, we consider two factors: the sample size and whether the population standard deviation is known.

Since the sample size is large (100), we can use the z-test statistic.

This test statistic helps us compare the sample mean to the hypothesized population mean (501) while considering the variability of the data.

The z-test statistic formula involves calculating the difference between the sample mean (515) and the hypothesized mean (501), and then dividing it by the standard deviation of the population divided by the square root of the sample size.

In this case, the known population standard deviation is 78, and the sample size is 100.

By plugging in these values, we find that the z-test statistic is 1.79.

This value indicates how many standard deviations the sample mean is away from the hypothesized mean.

In simple terms, the z-test statistic helps us assess whether the difference between the sample mean (515) and the hypothesized mean (501) is large enough to conclude that the average score on the nationwide biology examination is different from 501.

A higher absolute value of the z-test statistic suggests a stronger evidence for a difference between the population mean and the hypothesized mean.

Thus,

The value of the z-test statistic is 1.79.

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Greatest distance between a vertex of the inner square and a vertex of the outer square is 4cm

What is a Square?

Square: Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal. The angles of the square are at right-angle or equal to 90-degrees. Also, the diagonals of the square are equal and bisect each other at 90 degrees

Perimeter of square₁, s₁=20

side of the square, a₁

4a₁=20

a₁=5

Perimeter of square₂, s₂=28

side of square, a₂

4a₂=28

a₂=7

So, a square with side 5 is inscribed in the square of side 7

By Pythagoras Theorem a² +b²=25 and a +b=7 (check the image)

we know that (a−b)²=2(a²+b²)−(a+ b)²

                       (a−b)²=2(25)-(7)²

                       (a−b)²=50-49=1

                       (a−b) =1 and a +b=7

a- b=1

a=1+b

substitute in a+ b=7

(1+b)+b=7

1+ 2b=7

2b=7-1

2b=6

b=3 and a=1+b=4

a=4cm and b=3cm is the distance of vertex of inner square to the vertex of outer square

Greatest distance between a vertex of the inner square and a vertex of the outer square is 4cm

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Answer:

Step-by-step explanation:

Let x and y be the large (x) and small (y) vases the potter makes in one week.

We are told that the large and small vases require 6 hours for each large(x) and 1.5 hours for each small (y) vase.  The combination of large and small vases made in one week thus requires a total time of:

          6x + 1.5y = total hours/week

We are told that the potter works 30 hours per week, so:

        6x + 1.5y = 30 hours

We also learn that she needs to make at least 6 vases in a week, so:

        x + y => 6

Plot the two equations:

6x + 1.5y = 30, and

x + y => 6

This will produce the attached grap, Vases1.  The inequality appears as the shaded area in the upper area.  Any point in the shaded area satisfies the inequality of x + y => 6.  The x and y intercepts are at (0,6) and (6,0), representing either all large (x) or small vases (y).

The lines intersect at (4.67,1.33).  This represents a fictional combination of 4.67 large and 1.33 small vases.  This results in 6 vases (4.67 + 1.33) that require a total of 30 hours to make (6*4.67 + 1.5*1.33) = 30 hours.  If you want to select whole number answers, they appear at (0,6), (2,4), (4,2), and (6,0).  (x,y or large,small).  All combinations result in 6 vases, but eould require less than the 30 hours of time available.  Any whole number combination in the area below the line 6x + 1.5y = 30, but above the line x+y =>6 are valid, such as (4,4).  This area is shown in Vases2.  The valid area for making choices has the darkest shade, where the two inequalities are both satisfied.

Answer:

D

Step-by-step explanation:

This is because the angle are corresponding which mean they are on the same side and are the same number

Hope this Helped

The researcher should use regression analysis, as a statistical tool,  because the researcher is working with two variables measured.

Regression analysis is the most widely used statistical tool that can be used to find out the relation between a set of variables. Thus, from its results, it is possible to analyze the trend or make predictions.  In a regression analysis, it is considered the relationships between two or more variables and it is very similar to correlation.

Like the researcher is working with two variables measured at the interval level. The researcher should use regression analysis.

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Answer:

1  1/15

Step-by-step explanation:

you flip the second fraction then multiply straight across

4/5 divided by 3/4

4/5 divided by 4/3

4 x 4 = 16

5 x 3 = 15

16/15

then simplify

1  1/15

hope this helps

Answer:

a = - \(\frac{13}{16}\)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (105, 27 ) , thus

y = a(x - 105)² + 27

To find a substitute (109, 14 ) into the equation

14 = a(109 - 105)² + 27 ( subtract 27 from both sides )

- 13 = 16a ( divide both sides by 16 )

a = - \(\frac{13}{16}\)

We need to find the probability that no students arrive during the professor's one-hour nap using the Poisson distribution. In this case, the average arrival rate (λ) is 3 students per hour (60 minutes / 20 minutes per student).

The probability mass function (PMF) for the Poisson distribution is given by:

P(X=k) = (e^(-λ) * λ^k) / k!

For k=0 (no student arrivals):

P(X=0) = (e^(-3) * 3^0) / 0!
P(X=0) = (e^(-3) * 1) / 1
P(X=0) ≈ 0.05

So the probability that the professor's nap will not be disrupted by any student arrivals is 0.05, which corresponds to option B.

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Answer:

Let f(x) = 6/x^5

Let g(x) = x+8

Step-by-step explanation:

When we work on these composite functions, this "nesting" of functions, instead of putting a number in place of x, we put a whole entire other function in place of x.

So if g(x) = x + 8

and f(x) = 6/x^5

in f(g(x)) we put the whole entire x+8 into f(x) to get

6/(x+8)^5

A sample to have a standard deviation of zero means the score has no variability.

When the score has no variability it points towards the standard deviation being zero, This is the case where all the scores in the sample have the exact same value. This means there is no spread in the data set at all. The data set is combined in a single clumped value. Since there is only one value it would be the mean of the data set. The standard deviation measures the spread of a quantitative data set. This number cannot be a non-negative real number.

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

16777216

Step-by-step explanation:

I used a calculator duh

4 x 9 + 4 x 3 =

36 + 12 =

48

If * = to the power of, here you go,

16777216

Hope that helps!

Answer:

B) 27.2 m^2

Step-by-step explanation:

because to get the area of the parrelelogram, you use the formula (b)(h) or 6.8*4 to get 27.2.

If we shift the origin without changing the direction and point P(x, y) is changed to P(X, Y) then the new coordinates will be x = X + h and y = Y + k.

Shifting of origin is the phenomenon of changing the coordinates of the origin which is generally (0, 0) to another point which has coordinated (h, k). This phenomenon is usually carried out graphically. This is done when there is difficulty to solve the problems in coordinate geometry when we take the origin at (0, 0).

If we shift the origin which is at P(x, y) to another point (h, k) then the coordinates of new point P(X, Y) will be

x = X + h and y = Y + k

If h is positive, then coordinates will be x = X + h and if h is negative then coordinates will be x = X - h. If k is positive, then coordinates will be y = Y + k and if k is negative then coordinates will be y = Y - k.

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Answer:

number ten: x=5

number two: x=5³/5

Step-by-step explanation:

number ten:

4x + 3x - 9 = 26

4x + 3x = 26+9

7x = 35

x = 5

number two:

3x + 2x - 8 = 20

3x + 2x = 20+8

5x = 28

x = 5³/5

Answer:

Can you speak filipino?

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Answer:

how do you get here my baby mafiajasmine. j.k

Answer:

It would take 12 minutes for the bathtub to fill up.

Answer:

66=5.5m

Step-by-step explanation:

The longest side of the other triangle is 37.8 cm

From the question, the sides of the triangle are given as

This means that

Ratio = Corresponding sides of the triangles

So, we have

Ratio = Longest sides : Shorters sides

Substitute the known values in the above equation

So, we have the following equation

18 : 7 = Longest side : 14.7

Multiply 18 : 7 by 2.1

So, we have

37.8 : 14.7 = Longest side : 14.7

So, we have

Longest side = 37.8

Hence, the longest side  is 37.8 cm

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True. to convert 13 yards to feet, you will use the ratio 1 yard: 3 feet, which means that that one yard is equal to a few feet. Option A is correct.

Therefore, to convert 13 yards to feet, we need to multiply 13 by 3. that is because each yard is same to 3 toes.

13 yards x 3 feet/yard = 39 feet

So, 13 yards is same to 39 toes. this is a common conversion that is used in various contexts, which include in construction, sewing, and sports.

It's far important to recognize these kinds of ratios and conversions so one can make accurate measurements and calculation

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The standard error of the mean for a sample of size 8 and population mean 436 is equals to the 36.42.

The standard error of the mean, or usually say standard error, shows how different the population mean from a sample mean. We have a population with population mean, \(\mu\) = 436

Standard deviations for population, \( \sigma\) = 103

Sample size, n = 8

We have to determine the value of standard error of the mean. SEM is calculated simply as dividing the standard deviation by the square root of the sample size, n. Mathematically,

\(SE = \frac{ \sigma}{\sqrt n}\)

Substitues all known values in above formula, \(= \frac{ 103}{\sqrt 8}\)

= 36.42

Hence, required standard error value is 36.42.

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