Write the equation of the table below in Slope-Intercept Form.

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer:

Step-by-step explanation:

The maximum value is the y-coordinate of the most extreme point in the positive direction. On this graph, it is 40.

The minimum value is the y-coordinate of the most extreme point in the negative direction. On this graph, it is -10.

The midline is the line halfway between the maximum and minimum. Its y-coordinate is the average of the maximum and minimum: (40-10)/2 = 15.

The amplitude is the difference between the maximum and the midline:

  40 -15 = 25.

__

The term "rate constant" is used for many things, but is rarely seen as a descriptor of a sine function. For that, you'll need to consult your text or other reference material. (Google turns up kinetic rate constants, chemical reaction rate constants, and others—nothing related to sine functions.)

The usual descriptors are frequency or period. (Frequency is the reciprocal of period.) On this graph, the period of the function is 6 units, so the frequency is 1/6 cycles per unit.

Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.

This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.

To know more about symmetry visit:

https://brainly.com/question/29044130

#SPJ11

Answer:

Step-by-step explanation:

The visitor might be exactly 54 inches or above 54 inches.

It will take 7.76 years (rounded off to two decimal places) for $5600 to earn $3552.50 at an annual interest rate of 7.25%.

To calculate the time taken by $5600 to earn $3552.50 at an annual interest rate of 7.25%, the first step is to identify the appropriate formula to use.

The formula used in this case is Time = (Interest / Principal) / Rate. Using this formula, we can now calculate the time taken for the investment to earn $3552.50

From the question above, Principal = $5600, Interest = $3552.50, and Rate = 7.25%

Convert the percentage rate to decimal by dividing by 100:

7.25% / 100 = 0.0725 Time = (Interest / Principal) / Rate Time = ($3552.50 / $5600) / 0.0725 Time = 0.5625 / 0.0725 Time = 7.7586 (rounded off to four decimal places)

Therefore, it will take 7.76 years (rounded off to two decimal places) for $5600 to earn $3552.50 at an annual interest rate of 7.25%.

Learn more about investment at

https://brainly.com/question/18452494

#SPJ11

1. (x^2 + 8x – 1) ÷ (x + 4), the quotient is x + 4 and the remainder is -17.

2. (x^3 + 6x^2 – x – 30) ÷ (x-2), the quotient is x^2 + 8x + 15 and there is no remainder.

3. (4x^2 + 24x + 21) ÷ (x + 5), the quotient is 4x + 4 with a remainder of 1.

4. (2t^4 + t^3 + 5t^2 14t – 16) ÷ (t + 2), the quotient is 2t^3 - 3t^2 + 2t - 8 with a remainder of 6.

  x + 4 │ x^2 + 8x - 1

         │ x^2 + 4x

         │-------------

         │ 4x - 1

         │ 4x + 16

         │-------------

         │ -17

 x - 2 │ x^3 + 6x^2 - x - 30

        │ x^3 - 2x^2

        │-----------------

        │ 8x^2 - x

        │ 8x^2 - 16x

        │-------------

        │ 15x - 30

        │ 15x - 30

        │--------------

        │ 0

Learn more about division on:

https://brainly.com/question/25289437

#SPJ1

The conditional probability that a student is studying Spanish given that he or she is studying some language other than English is 0.634.

What is conditional probability?

Conditional probability is a metric for determining the likelihood of an event happening provided that another event has already happened.

According to the given question:

From the image we can see the probability of studying different languages.

Given probability of studying no languages is P(none) = 0.59

From this we can find the probability of studying another language using complement rule = 1 - P(none) = 1 - 0.59 = 0.41

It is given probability of studying Spanish P(Spanish) = 0.26

So the conditional probability of studying Spanish

= P(Spanish) / P(Studying another language)

= 0.26/0.41 = 0.634

Therefore  the conditional probability that a student is studying Spanish given that he or she is studying some language other than English is 0.634.

To learn more about conditional probability, follow the link.

brainly.com/question/10739997

#SPJ4

Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.

First, convert the budget from hours into minutes.

5 1/4 hours = 315 minutes

1 hour = 60 min

1/4 hour = 15 min

60 x 5 = 300

300 + 15 = 315

Then, divide the minutes by 3 or multiply it by 1/3.

315 / 3 = 105

315 x 1/3 = 105

Lastly convert to a mixed number.

1 3/4 hour

Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.

ANSWER

14 days

EXPLANATION

The mean of a data set is the sum of all data, divided by the number of data,

In this case, the number of data is 6, so the mean is,

Hence, the mean number of days taken for medical leave each month is 14.

Answer:

9.7 inches

​

.

Step-by-step explanation:

From the table, the linear function must pass through the points (19,10.2) and (21,9.8). Use the slope formula to find the slope between these two points:

m amp;=

y2−y1

x2−x1

amp; amp;Slope formula.  amp;=

9.8−10.2

21−19

amp; amp;Substitute.  amp;=

−0.4

2

amp; amp;Subtract. amp;=−0.2 amp; amp;Divide.

Answer:

the linear function is y= -0.2x +14 and the height is y=9.7

Step-by-step explanation:

For the given interval x ∈ [π/2, π] and sin(x) = 7/25, we have cos(x) = -24/25 and tan(x) = -7/24.

To find the values of tan(x) and cos(x) when sin(x) = 7/25 and x lies in the interval [π/2, π], we can use the relationship between trigonometric functions.

Given: sin(x) = 7/25

We can determine cos(x) using the Pythagorean identity: sin²(x) + cos²(x) = 1.

sin²(x) = (7/25)² = 49/625

cos²(x) = 1 - sin²(x) = 1 - 49/625 = 576/625

Taking the square root of both sides, we find:

cos(x) = ± √(576/625) = ± (24/25)

Since x lies in the interval [π/2, π], cos(x) is negative in this interval.

Therefore, cos(x) = -24/25.

To find tan(x), we can use the identity: tan(x) = sin(x) / cos(x).

tan(x) = (7/25) / (-24/25) = -7/24.

Therefore, tan(x) = -7/24.

Learn more about trigonometric functions: https://brainly.in/question/42022714

#SPJ11

Answer:

i did the answer the person above me did and it was right

Step-by-step explanation:

The amount of toll fee for the truck is A = $ 62.00

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

First, we need to convert the weight of the semitruck and its load from tons to pounds:

31 tons = 31 x 2000 = 62,000 pounds

Let the number of 10-pound units in 62,000 pounds

62,000 / 10 = 6,200

On simplifying the equation , we get

Finally, we can calculate the toll by multiplying the number of 10-pound units by the rate of $0.01 per unit:

6,200 x $0.01 = $ 62.00

Hence , the amount of toll this truck should pay is $ 62.00

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

point slope: y-y1=m(x-x1)

m is slope. now we plug in numbers

y--9=1/2(x--7)

a negative times a negative us positive and a negative times a positive is negative

y+9=1/2(x+7)

now distribute 1/2

y+9=1/2x+7/2

now get y alone by using opposite operation to get 9 on the other side of the equal sign

y and nine are adding. the opposite of addition is subtraction

y+9-9=1/2x+7/2-9

y=1/2x+7/2-9

get 7/2 and 9 to have equal denominators

(7/2)-(9/1)

multiply 2 for numerator and denominator

(7/2)-((9÷1)×(2÷2))

7/2-18/2=-11/2

y=1/2x-11/2

Regular hexagon ABCDEF is inscribed in a circle with center H, the image of segment BC after 120 degree clockwise rotation about point H is the segment joining the points B' and C', which has endpoints (-0.5r\(\sqrt{3\), -0.5r) and (-0.5r, -0.5r).

Since the hexagon is inscribed in a circle with center H, we can conclude that H is also the center of the circle passing through vertices B, C, and D. Therefore, the circle passing through B, C, and D is also a 120 degree clockwise rotation of the circle passing through A, B, and C.

To find the image of segment BC after a 120 degree clockwise rotation about point H, we need to find the coordinates of B and C relative to H, and then apply a 120 degree rotation matrix to these coordinates.

Let the radius of the circle be r, and let the coordinates of H be (0,0). Then the coordinates of B and C are:

B: (r cos(60), r sin(60))

C: (r cos(0), r sin(0)) = (r, 0)

To apply a 120 degree clockwise rotation matrix, we can use the following matrix:

[ cos(-120) -sin(-120) ]

[ sin(-120) cos(-120) ]

Simplifying, we get:

[ cos(120) sin(120) ]

[ -sin(120) cos(120) ]

Applying this matrix to the coordinates of B and C, we get:

B': [ cos(120) sin(120) ][ r cos(60) ] = [ -0.5r \(\sqrt{3}\)]

[ -sin(120) cos(120) ][ r sin(60) ] [ -0.5r ]

C': [ cos(120) sin(120) ][ r ] = [ -0.5r ]

[ -sin(120) cos(120) ][ 0 ] [ -0.5r ]

Therefore, the image of segment BC after a 120 degree clockwise rotation about point H is the segment joining points B' and C', which has endpoints (-0.5r\(\sqrt{3}\), -0.5r) and (-0.5r, -0.5r), respectively.

To know more about Hexagon:

https://brainly.com/question/2001860

#SPJ4

The probability that a customer chosen at random is a male or prefers vanilla ice cream is approximately 0.852 or 85.2%.

We have,

To find the probability that a customer chosen at random is a male or prefers vanilla ice cream, we need to calculate the total number of customers who are either male or prefer the vanilla ice cream and divide it by the total number of customers.

Total number of customers who are either male or prefer vanilla ice cream = Number of male customers + Number of customers who prefer vanilla ice cream - Number of male customers who prefer vanilla ice cream

Number of male customers = 152

Number of customers who prefer vanilla ice cream = 152 + 308 = 460

Number of male customers who prefer vanilla ice cream = 152

Total number of customers = 540

Probability = (Number of customers who are either male or prefer vanilla ice cream) / (Total number of customers)

= (152 + 460 - 152) / 540

= 460 / 540

= 0.852

or

= 0.852 x 100

= 85.2%

Therefore,

The probability that a customer chosen at random is a male or prefers vanilla ice cream is approximately 0.852 or 85.2%.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

Answer:c60

Step-by-step explanation:

The graph of the s (s)  = 13s + 1 when f (x)  = |x| is compressed vertically and shifted to the right 1 unit so, option A is correct.

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

f (x)  = |x|

The transformed function is s (s)  = 13s + 1

Put the transformed function in the above function,

f(s) = |13s + 1|

Here, you can see that the function is compressing as the slope of the graph is increasing, and the intercept is 1, so also the graph is shifted 1 unit to the right

The graph is attached below.

To know more about function:

https://brainly.com/question/5975436

#SPJ1

No, the researchers cannot estimate the proportion of fish in the river that have discolored scales solely based on the information provided.

The reason is that the sample used for the estimation is not representative of the entire fish population in the river.

The researchers collected fish from fishermen who voluntarily brought their catches to the field station. This sampling method introduces a selection bias because the fishermen may have been more likely to bring fish with discoloration, leading to an overrepresentation of fish with discolored scales in the sample.

Additionally, the sample size of 234 fish is relatively small compared to the total fish population in the river. A small sample size can result in a larger margin of error and decrease the reliability of any estimates made from the sample.

To estimate the proportion of fish in the river with discolored scales, a more comprehensive and representative sampling strategy would be needed. This could involve randomly sampling fish from various locations in the river and ensuring a sufficient sample size to obtain reliable estimates.

Learn more about researchers from below link

https://brainly.com/question/968894

#SPJ11

Answer:

m∠A=  115

Step-by-step explanation:

The required measure of the angle A is 115°.

Given that,
Two corresponding equal angles are given,
A = 4x - 13 and B = 3x + 19 all are in degrees.

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.

What is the angle?

The angle can be defined as the one line inclined over another line.

Here,
A = 4x - 13

B = 3x + 19

A = B
4x - 13 = 3x + 19
4x - 3x = 19 + 13
x = 32

Now the measures,
A = 4x -13

A = 4 * 32 - 13
A = 128 - 13
A = 115

Thus, the required measure of the angle A is 115°.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

To more on Progression:
https://brainly.com/question/30442577
#SPJ8

In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata. The type of sampling used in this scenario is stratified sampling.

Stratified sampling is a sampling method where the population is divided into homogeneous subgroups or strata, and individuals are randomly selected from each stratum in proportion to their representation in the population. In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata.

By randomly selecting a proportionate number of individuals from each group, Christopher ensures that both varsity and junior varsity athletes are represented in the sample, maintaining the proportional representation of each group in the population. This method allows for more accurate and representative results by capturing the characteristics of both groups separately.


To learn more about stratified sampling click here: brainly.com/question/15604044

#SPJ11

Answer: 80 Digrise to the right

Answer:

C

Step-by-step explanation:

The greatest common factor of 8 and 10 is 2

The greatest common factor of a^4 and a^3 is a^3

The binomial whose greatest common factor is 2a³ is 8a⁴ + 10a³.

The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.

Given the a³ is not common in  A and B they are wrong

C. 8a⁴ + 10a³

common factors of 8 and 10 is 2

so 8a⁴ + 10a³  has factors 2a³

Hence option C is correct.

Learn more about greatest common factor;

https://brainly.com/question/11221202

#SPJ2

Answer:

x° = 99°

Step-by-step explanation:

The polygon is a hexagon and the sum of its internal angles is:

\(180(n-2)=180(6-2)=180(4)=720^{0}\)

subtract the 5 known angles:

\(x^{0} =720-145-164-59-132-121=99^{0}\)

Hope this helps

equations 1, 2, 4, and 5 are consistent and possibly true, while equation 3 is not consistent.

Let's analyze each equation to determine if they are consistent and possibly true:

1. A - B - C = 0

This equation states that the difference between A, B, and C is zero. It is consistent and possibly true if A = B + C.

2. C = -7.15m

This equation states that the value of C is equal to -7.15m. It is consistent and possibly true if C is indeed equal to -7.15m.

3. |A| - |B| = -2.9m

This equation states that the absolute value of A minus the absolute value of B is equal to -2.9m. It is not consistent because the absolute value of a number is always non-negative, so the left-hand side of the equation can never be negative.

4. (42.1m) * \(\hat{x}\) = (3.2m) * \(\hat{y}\)

This equation states that the product of 42.1m and \(\hat{x}\) (unit vector in the x-direction) is equal to the product of 3.2m and \(\hat{y}\) (unit vector in the y-direction). It is consistent and possibly true if the magnitudes of \(\hat{x}\) and \(\hat{y}\) are appropriately related to satisfy this equation.

5. Ay < 0

This equation states that the y-component of vector A is less than zero. It is consistent and possibly true if the y-component of vector A is indeed negative.

In summary, equations 1, 2, 4, and 5 are consistent and possibly true, while equation 3 is not consistent.

Learn more about equations here

https://brainly.com/question/14686792

#SPJ4

Among the given equations, the consistent and possibly true equations are:

A - B - C = 0 (Equation 1)

C = -7.15m (Equation 2)

Ay < 0 (Equation 5)

Let's analyze each equation to determine which ones are consistent and possibly true:

1. A - B - C = 0:

This equation represents the sum of three variables, A, B, and C, equal to zero. Without any further information about the variables, we cannot determine its consistency or truth.

2. C = -7.15m:

This equation sets the variable C equal to -7.15m. It is consistent and true if the value of C is indeed -7.15m.

3. |A| - |B| = -2.9m:

This equation states the absolute value of A minus the absolute value of B equals -2.9m. However, the absolute value of a quantity is always positive, so it cannot be negative. Therefore, this equation is inconsistent and unlikely to be true.

4. (42.1m)x^ = (3.2m)y^:

This equation equates a scalar quantity, 42.1m, multiplied by the unit vector x^, with a scalar quantity, 3.2m, multiplied by the unit vector y^. Since x^ and y^ are perpendicular unit vectors, it is not possible for them to be equal. Therefore, this equation is inconsistent and unlikely to be true.

5. Ay < 0:

This equation states that the y-component of vector A is less than zero. It is consistent and possibly true if the y-component of A is indeed negative.

Based on the analysis above, the equations that are consistent and possibly true are equation 2 (C = -7.15m) and equation 5 (Ay < 0).

To know more about consistent, refer here:

https://brainly.com/question/12791933

#SPJ4

Answer: The number 2340 is divisible by 2,3,5,9 and 10

=====================================================

Here's why

2340/2 = 1170 is a whole number, so it is divisible by 2

Note how the last digit is an even number, so overall the number is even and divisible by 2

---------------

Add the digits of the given number to get 2+3+4+0 = 9, showing that it is both divisible by 3 and also divisible by 9. If the digits add to a multiple of 3, then it is divisible by 3. If the digits add to a multiple of 9, then it is divisible by 9. Basically anything divisible by 9 is automatically divisible by 3 as well.

We can see we get whole number results shown below

2340/3 = 780

2340/9 = 260

---------------

The last digit is 0, so 2340 is a multiple of 10. It is also a multiple of 5 because 10 = 5*2

And we can see that

2340/5 = 468

2340/10 = 234

Showing 2340 is a multiple of 5 and 10.

The union of Event A and Event B (AuB) is the set of elements that are in either Event A or Event B, or both: AuB = {1, 2, 3, 4, 6, 7}.

In mathematics, a set is a collection of distinct objects. The union of two sets is the set of all distinct elements that belong to either one of the sets or both. In this case, Event A and Event B are two sets with some overlapping elements.

The union of Event A and Event B (AuB) contains all the elements from both sets, without any duplication. Therefore, the resulting set for AuB is {1, 2, 3, 4, 6, 7}.

The concept of set union is fundamental in set theory and has various applications in other fields of mathematics, such as calculus and probability theory.

Understanding set theory is essential for studying these and other mathematical disciplines.

Learn more about Set Theory

brainly.com/question/27333813

#SPJ11

The imperial Africa during 1900s has been claimed possesses by European nations with major area controlled by France.

Colonization has been given as the formation of control of one over the another. The colonizers control the area for the purpose of trade, economy and other and get benefitted with that exploiting the colonized area.

Africa during the period of 1850-1914 was under various European nation rule. The major reason for the interest of Europe in Africa has been the slave trade.

The area of West Africa and Algeria was largest colonized area by France.

German has the territorial possession to German East Africa, German Southwest Africa, and Cameroons.

Union of South Africa, Northern Rhodesia, Uganda, Nigeria, Gold Coast, Egypt were under the British territorial control.

The image attached shows the each area with the European nation colonizing it during the imperial period of 1900s.

Learn more about African imperialism, here:

https://brainly.com/question/14860151

#SPJ1

Answer:

Function 2, y = x - 5

Step-by-step explanation:

Function 1 is called an Absolute Value Function (where there is absolute value symbol around the whole or a part of the equation, its parent function is; y = |x| )

Function 2 is called a Linear Function (which could be written as y = mx + b, here m and b are integer values, b value is the y-intercept, m is the slope)

Function 3 is called an Inverse Function ( where a value is divided by a variable like "x", it's parent function is; y = \(\frac{1}{x}\) )

Function 4 is called a Quadratic Function (it's a function where the variable is squared, it's parent function is; y = x² )

Hope this helps!

The function that represents the linear function is y = x - 5. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let's check all the options, then we have

A) y = |x| - 5, the function is an absolute function.

B) y = x - 5, the function is a linear function.

C) y = 1/x - 5, the function is a rectangular hyperbolic function.

D) y = x² - 5, the function is a quadratic function.

The function that represents the linear function is y = x - 5. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

I need more info to answer the question.

Step-by-step explanation: