The frequency table below represents the 30 best batting averages for asemi-pro baseball league. Which ranges of batting averages were leastcommon among the players?Batting Average Frequency0.320-0.329 10.330 -0.339 20.340-0.349 120.350-0.359 140.360-0.369 1

Answer:

cross multiple

17×f=34×7

17f/17=578/17

f=34

1. The area of triangle ABC = 10 units²

2. The area of triangle DEC = 2.5 units²

3. No

4. Scale factor = 2

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The figure is given in the question, as shown

As per the question, the required solution would be as:

1. the area of triangle ABC = 1/2 x 5 x 4  = 20/2 = 10 units²

2. the area of triangle DEC = 1/2 x (5/2) x (4/2)  = 20/8 = 2.5 units²

3. No

4. scale factor = 5/(5/2) = 2

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The question seems to be incomplete the missing part has been attached below

Answer:

greater to

Step-by-step explanation:

one is greater then the other

Answer:

\(\huge\boxed{\sf Yes.}\)

Step-by-step explanation:

In a right angled triangle, the longest side is called hypotenuse.

So,

Hypotenuse = 13 m

The rest are:

Base = 5 m

Perpendicular = 12 m

Using Pythagoras Theorem to verify:

\((Hypotenuse)^2=(Base)^2+(Perpendicular)^2\)

Put the given data

(13)² = (12)² + (5)²

169 = 144 + 25

Since, both left hand side and right hand side are equal, this means the triangle is a right-angled triangle.

\(\rule[225]{225}{2}\)

(-√2)/2 is the exact value of the trigonometric function, cos θ

Given: the angle θ = -225°

The angle -225° is a negative angle, we can convert it to a positive angle by adding 360 to it.

cos (-225) = cos(-225 + 360)  = cos 135°

cos 135 = -cos(180-135)      [property of quadrant 2]

cos 135° = -cos 45°

cos 135° = (-√2)/2

Thus, the exact value of the trigonometric function is (-√2)/2

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Answer:

.................................................................................................................................

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:

Step-by-step explanation:

151.2

The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =

The given dimensions for cylinders are:

r = 1.75 in, h = 2.2 in Surface Area of Cylinder:

S = 2πr² + 2πrh

The surface area formula of a cylinder is  S = (2 * pi * \(r^2\)) + (2 * pi * r * h).

S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)

= 44.33 + 38.49

= 82.82 square inches.

Volume of Cylinder: V = πr²h

The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.

Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.

Volume = π(1.75)²(2.2)

Volume ≈ π(3.0625)(2.2)

Volume ≈ 6.7375π cubic inches

The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm

Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.

Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.

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Answer:

rffrefr

Step-by-step explanation:

Merkel's discs are not involved in sensory transduction.

The process by which sensory receptors in the body translate physical stimuli like light, sound, or pressure into electrical impulses that the brain can understand is known as sensory transduction. This procedure is necessary for recognizing our surroundings and reacting to them.

For example: Cones are specialized cells that are found in the retina of the eye and are in charge of vision in high light and color. They can transform the light of various wavelengths into electrical impulses that are sent to the brain because they are sensitive to light of those wavelengths. Whereas Merkel's discs, are specialized cells found in the skin that are involved in detecting touch and pressure. They do not play a role in sensory transduction.

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Answer:

5.39

Step-by-step explanation:

a. The residuals are given as follows:

b. The points are not zero. So, the equation y = 2x + 3 is not a good fit.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

The equation is given by:

y = 2x + 3.

Then the predicted values are given as follows:

Then the residuals are given as follows:

The scatter plot contains these following points:

(1,0), (2,1), (3,2), (4,-1), (5,3), (6,1), (7,2), (8,4).

As the points are not zero, the equation is not a good fit.

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The two given rectangles are proportional to each other since they have a width to length ratio of 2 and the area ratio between them is equal to 9.

Two rectangles are proportional to each other when both have the same length to width ratio. The area ratio is defined by the following formula:

r' = (l' · h')/(l · h)      (1)

Where:

Now we determine the length to width ratio of each rectangle:

Original rectangle

s = 4/2

s = 2

Enlarge rectangle

s' = 12/6

s' = 2

The two rectangles have the same length to width ratio.

And the area ratio is:

r' = (12 · 6)/(4 · 2)

r' = 72/8

r' = 9

The statement is incomplete and complete statement cannot be found. We modify the statement towards the determination of the length to width ratio of a rectangle and the areas ratio.

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Answer: A, B, D, is the correct answer.   :) Hope this helped.

StartFraction width original over length original EndFraction = StartFraction width enlargement over length enlargement EndFraction.

StartFraction length original over length enlargement EndFraction = StartFraction width original over width enlargement EndFraction.

StartFraction width enlargement over length enlargement EndFraction = StartFraction width original over length original EndFraction.

To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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We can see a graph representing an inequality. We also can see that we have two points (two coordinates) that lie on a line, and since we have a dotted line, we need to use an inequality symbol that does not take into account the values of the line, that is, we need to use < or >.

Now, to find the expression of the inequality on the graph, we need to proceed as follows:

1. Find the equation of the line using the given points: (0, 1) and (5, 0).

We can use the two-point form of the line to find the equation:

And now we can label both points as follows:

• (0, 1) ---> x1 = 0, y1 = 1

• (5, 0) ---> x2 = 5, y2 = 0

And we can substitute these values into the above equation:

2. We need to use a test point to find the direction of the inequality. Since we can see that the point (0, 0) is part of the shaded part of the inequality, we can substitute this point in the line equation above as follows:

And we can see that the inequality is of the form (<).

Therefore, in summary, the expression that represents the inequality is:

(Option B).

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer

Explanation

The best way to graph the equation of a striaght line is to use the intercepts.

That is, the value of y when x = 0 and the value of x when y = 0.

y = -2x + 5

when x = 0,

y = -2x + 5

y = -2 (0) + 5

y = 0 + 5 = 5

First point on the graph is (0, 5)

when y = 0

y = -2x + 5

0 = -2x + 5

2x = 5

Divide both sides by 2

(2x/2) = (5/2)

x = 2.5

The second point is (2.5, 0)

So, to plot this graph, we just mark the two points obtained (0, 5) and (2.5, 0) and connect this two points.

The graph of this line is presented under 'Answer'.

Hope this Helps!!!

The difference between ¼ of 5.00 and 37/½% of 1.50 is 0.6875 because 1/4 of 5.00 is 1.25 and 37.5% of 1.50 is 0.5625.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

\(\rm \dfrac{1}{4} \ \ of \ 5.00\)

\(\rm = \dfrac{1}{4}\times 5.00\)

= 1.25

\(\rm 37 \dfrac{1}{2} \% \ of \ 1.50\)

= 37.5% of 1.50

= 0.5625

Difference between the numbers:

= 1.25 - 0.5625

= 0.6875

Thus, the difference between ¼ of 5.00 and 37/½% of 1.50 is 0.6875 because 1/4 of 5.00 is 1.25 and 37.5% of 1.50 is 0.5625.

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a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Answer:

Step-by-step explanation:

582×23≈600×20=12,000

Answer:

2% of 800, which is 16

the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately  \(1.305\)radians.

An interval is a set of real numbers that includes all the numbers between two endpoints. The endpoints can be included or excluded from the interval, depending on whether square brackets or parentheses are used to define the interval.

The equation is:

\(tan(\theta) = 3.804\)

To solve for θ, we can use the inverse tangent function (also known as arctan or tan^-1) on both sides of the equation:

\(\theta = tan^-1(3.804)\)

Using a calculator, we can evaluate this expression and get:

\(\theta \approx 1.305\) radians (rounded to three decimal places)

Therefore, the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately  \(1.305\)radians.

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Answer: 1

Step-by-step explanation:

divide numerator by the denominator of the fraction. We divide now 3 by 5 what we write down as 3/5 and we get 0.6 And finally we have: 3/5 as a decimal equals 0.6 then divide .6 by .6

Answer:

1

Step-by-step explanation:

3/4 ÷ 3/4

cdf (copy dot flip)

3/4 × 4/3

Multiply numerators together; multiply denominators together

3 × 4/4 × 3

12/12

1

Answer:

Gud morning friend

Step-by-step explanation:

Sorry friend I don't know

The end behavior of the graphed Polynomial is; C: As the x-values go to negative infinity, the function's values go to positive infinity​

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

Now, looking at the polynomial graph critically, it is very clear that as the x-values go to negative infinity, the function's values go to positive infinity​.

Thus, we can conclude that the statement that is true about the end behavior of the graphed function is; C: As the x-values go to negative infinity, the function's values go to positive infinity​

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Answer:

corresponding segments

Step-by-step explanation:

BK = KB'

AJ - JA'

CL = LC'