Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?

On a coordinate plane, the point (0, 3) is graphed.
On a coordinate plane, the point (0, 4) is graphed.
On a coordinate plane, the point (3, 0) is graphed.
On a coordinate plane, the point (4, 0) is graphed.

Answer:

The number of downloads of the standard version is 230.

Step-by-step explanation:

Let x be the number of downloads of the standard version.

The number of downloads of the high-quality version is 4x.

The total size downloaded for the standard version is 2.8x MB.

The total size downloaded for the high-quality version is 4.3(4x) = 17.2x MB.

The total size downloaded for both versions is 2.8x + 17.2x = 4600 MB.

Combining like terms, we have 20x = 4600 MB.

Dividing both sides by 20, we have x = 230 downloads of the standard version

At least 75% of his total credits were certain to have a grade point average between 2.00 and 4.0.

By looking at the standard deviation of 0.25, we can calculate the range of the grade point averages which are within two standard deviations away from the mean. In this case, the mean is 3.00, so two standard deviations away would be 2.00 (3.00 - 0.25 x 2) and 4.00 (3.00 + 0.25 x 2). Since the grade point averages within this range are certain to have a grade point average between 2.00 and 4.0, at least 75% of the total credits are certain to have a grade point average between these two numbers.

Lower limit (2 standard deviations away from the mean):

3.00 - (0.25 x 2) = 2.00

Upper limit (2 standard deviations away from the mean):

3.00 + (0.25 x 2) = 4.00

Therefore, at least 75% of the total credits have a grade point average between 2.00 and 4.00.

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Answer:

p = 19

x = 64

y = 100

Step-by-step explanation:

114 = 6p

Divide by 6 into both sides

p = 19

x/4 = 16

Times 4 into both sides

x = 64

75 = y - 25

Add 25 to both sides

y = 100

The probability the card is red, given that it is a face card is 1/2 and  the probability the card is a king, given that it is a face card is 1/3.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

A card is drawn from a standard 52-card deck (no jokers).

We have to match each event with its probability.

Since, a deck of cards contains the face cards J, Q, and K.

Let's say there are four different kinds of cards: spades, clubs, hearts, and diamonds.

King, Queen, and Jack are contained in each of these types.

Thus, the total number of face cards is 12 (3 x 4).

(1)  Let the face cards are 12 and there are 6 red cards in that 12 face cards.

So, the probability the card is red, given that it is a face card is

= 6/12 = 1/2.

(2)  There are 4 king in a 12 face cards.

So, the probability the card is a king, given that it is a face card

= 4/12 = 1/3.

Hence the probability the card is red, given that it is a face card is 1/2 and  the probability the card is a king, given that it is a face card is 1/3.

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Answer:

The answer is below; I have put the equation and graphed it!

Step-by-step explanation:

The distance between the library and the school using the coordinates plane is 7.28 miles.

A coordinate plane is a two-dimensional plane which is formed by the intersection of two number lines - a horizontal number line called the x-axis and is a vertical number line called the y-axis. It is a graphing and description system for points and lines. On the provided coordinate plane, the coordinate of the library is (-3,3) and the coordinate of the school is (4, 1).

The distance formula between two coordinates is given by:

d =√((x2 – x1)^2 + (y2 - y1)^2)

Using the distance formula, the distance between the library and the school are:

d =√((-3 – 4)^2 + (3 - 1)^2)

d =√((-7)^2 + (2)^2)

d =√((-7)^2 + (2)^2)

d =√(49 + 4)

d =√53

d = 7.28 miles

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The height of the 5th player would be 69 inches

To find the Height, first, we have to calculate the mean value.

No. of players=5

The height of 4 players is 60 inches, 67 inches, and 64 inches, 65 inches.

Mean =Sum of observations/No of observations

Mean of the  5th players=65

To find, Height of 5th player

As we know,

Assuming the height of the 5th player is x

Mean =Sum of observations/No of observations

65=(60+67+64+65+x)/5

65*5=60+67+64+65+x

325=256+x

x=69

Thus, the height of the 5th player is 69 inches.

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However, the information is not complete but we can see parallel lines in general to solve it.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Perpendicular lines are those that cross at a straight angle of 90 degrees.

Lines that are perpendicular to one another are those that are 90 degrees apart. In light of this definition, we could conclude that for lines lll and mmm to be perpendicular, they must intersect and form a right angle (90°) to one another.

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Answer:

Marsha earn $1350.

Step-by-step explanation:

So,

9000 × 5 × 3 ÷ 100

135000/100

$1350

Thus, Marsha earn $1350.

Step-by-step explanation:

Let the larger angle be x.

Smaller angle = x - 8

As both angles are supplementary,

x + (x - 8) = 180°

2x - 8 = 180°

2x = 188°

x = 94°

Therefore, larger angle = 94°

Smaller angle = 94° - 8° = 86°

Answer: The tax is $3.28.

Step-by-step explanation:

8% is equal to 0.08.

If you multiply 41 x 0.08 you get 3.28.

Answer:

-6

Step-by-step explanation:

Do whats in the parentheses first (3-5=-2)

so you have 3(-2), and that equals -6

Answer:

Step-by-step explanation:

3(x - 5) when x = 3

Substitute x with 3:-

[tex]\tt 3\left((3)-5\right)[/tex]

[tex]\tt 3\left(-2\right)[/tex]

[tex]\tt -6[/tex]

Therefore, your answer is -6!

______________________

Hope this helps you!

Have a nice day!

The coordinates of the recycle bin will be = ( -1, 2.5 )

According to the information given in the question,

The coordinates of the vertices of the park are,

( 1, 1 ), ( 1, 4 ), and ( -3, 4 )

We have to find the coordinates of the recycle bin.

Let us consider the equation of the circle,

[tex]x^{2} +y^{2}+Dx + Ey+ F =0[/tex]

So putting the values of the coordinates into the equation,

First Equation,

[tex]1^{2}+1^{2} + D + E + F = 0[/tex]

Second Equation,

[tex]1^{2} +4^{2} +D + 4E + F=0[/tex]

Third Equation,

[tex](-3)^{2} + 4^{2} - 3D+4E+F=0[/tex]

Subtracting the first equation from the second,

[tex]1^{2} +4^{2} +D + 4E -E=0[/tex]

15 + 3E = 0

3E = -15

E = -5

Subtracting the third equation from the second,

1 + 16 - 9 - 16 + D + 3D = 0

4D = 8

D = 2

Putting the values of E and D in the first equation,

1 + 1 + D + E + F = 0

F = -2 - D - E

F = 1

So now the equation of the circle becomes,

[tex]x^{2} +y^{2}+2x - 5y+ 1 =0[/tex]

By expanding the above equation we can find the standard equation,

[tex]x+2x+1^{2} +y^{2} -5y+ 2.5^{2}- 1^{2} -2.5^{2} +1 =0[/tex]

[tex](x+1)^{2} + (y - 2.5)^{2} = 1^{2} + 2.5^{2} -1[/tex]

[tex](x+1)^{2} + (y - 2.5)^{2} = 2.5^{2}[/tex]

So the required circumcenter will be = ( -1, 2.5 )

Therefore, the coordinates of the recycle bin will be = ( -1, 2.5 )

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A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1,4), and (-3,4). The city planner wants to put recycling bins at the circumcenter of the park. What are the coordinates of the recycling bins?

In a regression analysis, the error term ε is a random variable with a mean or expected value of zero.

The model used in regression analysis is known as the regression model it is used to estimate the relationships between a dependent variable and one or more independent variables.

It helps us to find the strength between two given relations thus determining whether a plan is correct or not. It helps us to make plans based on certain reports .

Another way of analyzing things is by using multiple regression analysis, it can be used to assess the connection between a dependent variable and two or more independent variables. For example, you may assess the relationship between a person's income and their experience, education, and geographic area.

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As per the impact of reducing the tolerable rate of deviation from 7% to 5% on the sample size is 93.

The term deviation is defined as a measure that is used to find the difference between the observed value and the expected value of a variable.

Here we have given that the audit team is planning to examine a sample of control policies and procedures. assume that, based on the intended degree of reliance on internal control, the audit team wishes to control the risk of overreliance to 5%.

And we need to find sample size.

While we looking into the given question, we know that the tolerable rate of deviation from 7% to 5% on the sample size.

Let us consider that 100 be the sample size, then the reduction in 7% to 5%, tell that there is an 2% decrement in the sample size.

Therefore, it can be calculated as,

=> 100 x 2/100

=> 2

Here we already know that the risk of overreliance to 5%.

Then the total value is

=> 5 + 2 = 7.

Then the sample size is

=> 100 - 7

=> 93.

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[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-9}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{-9}-\underset{x_1}{(-2)}}} \implies \cfrac{-15}{-9 +2} \implies \cfrac{ -15 }{ -7 } \implies \cfrac{ 15 }{ 7 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ \cfrac{ 15 }{ 7 }}(x-\stackrel{x_1}{(-2)}) \implies y -10 = \cfrac{ 15 }{ 7 } ( x +2) \\\\\\ y-10=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }\implies y=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }+10\implies {\Large \begin{array}{llll} y=\cfrac{ 15 }{ 7 }x+\cfrac{100}{7} \end{array}}[/tex]

let x as the total sales

26 250 = 14 250 + 0.06x

26 250 - 14 250 = 14 250 - 14 250 + 0.06x  (subtract 14 250 both sides)

12 000 = 0.06x

x = 200 000

26 250 = 14 250 + 0.06(200 000)

26 250 = 14 250 + 12 000

26 250 = 26 250

Therefore, Peter have total sales of RS 200 000.

Step-by-step explanation:

The largest number is 20 .

What is largest ?

There is a big number—a googolplex—that exists. It consists of 1 and 10100 zeros (googol). A googolduplex, which is an even larger number, is also present. It is 1 and over a googol zeros after that.

Let 'n' be any number, odd or even.

2n will always be even number. This is because, 2n has 2 as common factor. So, 2n is always even.

Eg: 2= 2×1, n=1 ; 4=2×2, n=2 etc

Numbers are even, consecutive.

Consecutive even numbers are 2n-2, 2n, 2n+2,

Eg : For consecutive even numbers, put n=2

2n-2=4-2=2

2n=4

2n+2 =4+2=6,

we get 2,4,6 which are consecutive even nos.

So, numbers are 2n-2, 2n and 2n+2

Their sum= 2n+2+2n+2n-2=6n

Sum=54

6n=54

n=54/6=9

So, n=9

Consecutive numbers are

2n-2= (2×9)-2=16

2n=2×9=18

2n+2=18+2=20.

So, numbers are 16, 18, 20. Their sum is 54.

The largest number is 20

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2x - 3 > 1

x represents an integer and 3 is less than twice an integer which is 2x. So it's 2x - 3.

2x - 3 is greater than 1.

So therefore, the answer is 2x - 3 > 1

Answer:

2x-3>1

Step-by-step explanation:

lets say x is the interger

so twice an interger would be 2*x or 2x

and three less than that would be 2x-3

and 2x-3 is greater than one

so, 2x-3>1

Answer:

–27

Step-by-step explanation:

f(x) = 2x² + 9x

f(–3) = 2(–3)² + 9(–3)

= 2(9) + –27

= 18 – 27

= –9

since p= f(–3) = –9

3p = 3 × – 9 = –27

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Answer:

Here are 5 ordered pairs whose first and second coordinates are equal:

(2,2)

(3,3)

(4,4)

(5,5)

(6,6)

If we plot these points and connect them, we get a straight line that runs from the bottom left to the top right of the coordinate plane. This line is called the "diagonal" of the coordinate plane and it divides the plane into 4 quadrants.

The figure that we get lies in all 4 quadrants of the coordinate plane. The top right and bottom left quadrants are the "positive" quadrants, where both the x- and y-coordinates are positive. The top left and bottom right quadrants are the "negative" quadrants, where both the x- and y-coordinates are negative.

Answer:

the length is 15

Step-by-step explanation:

So the height of the pole(Opposite) = 9m

The steel wire fixed to the ground(Adjacent) = 12m

the length( Hypotenuse) = ?

using the formula

Hyp² = opp² + Adj²

Hyp² = 9² + 12²

Hyp² = 81 + 144

Hyp² = 225

Hyp = √225

Hyp = 15

i hope this helps

Answer:

Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.

Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs.  First you have to divide by 3 on both sides.

Therefore, Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.

The probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05.

The distribution of backpack with mean deviation = 19.7 pounds

And the standard deviation = 3.1 pounds

According to this question,

He normal probability distribution and the central limit theorem were used.

Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.

Mean standard deviation, the z-score of a measure X is given by:

Z = x-μ/σ

The Z-score measures how many standard deviations. the measure is from the mean.

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score.

This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Subtracting 1 by the p value,

We get the value probability that of the measure is greater than X.

Central Limit Theorem;  The Central Limit Theorem establishes  that, for a normally distributed random variable X, with mean  and standard deviation the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For samples of size 5, which of the following is the best interpretation of P(ä > 22) = 0.05

No matter the size of the sample mean will be the same.

However, the standard deviation will be changed.

P(ä > 22) is the probability of the sample means being above 22.

For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.

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There will be a total of 720 4- permutations of a set of six objects. And there will be a total of 72 2- permutations of a set of nine objects.

The calculation for 4-permutations of a set containing six objects

P(6,4)! = 6! / (6-4)1

P(6,4)! = 6×5×4×3x2

P(6,4)! = 720

Therefore, there will be a total of 720 permutations.

The calculation for 2- permutation of a set containing 9 objects

P(9,2)! = (9,7)! = (9-2) = 9! / 7!

P(9,2)! = 9×8x7! / 7!

P(9,2)! = 72

Therefore, there will be a total of 72 permutations.

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The term that represents the situation shown in the graphic below is B. a reflection

A glide reflection or transflection is a symmetry operation in two-dimensional geometry that combines a reflection over a line with a translation along that line into a single operation.

An exchange of points from one side of a line with points on the other side of the mirror at the same distance from the mirror occurs when a mirror line is fixed in the plane. There is a mirror line in every reflection. A mirror reflection is followed by a translation that is parallel to the mirror to create a glide reflection.

Here, the shape is mirrored in the reflection. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

In conclusion, based on the information given, it should be noted that the correct option is B.

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Some of the coordinates on the graph are (0, -15), (1, -13), (2, -11).

The graph of the equation is given below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of the equation y + 7 = 2 (x - 4).

y + 7 = 2 (x - 4)

y = 2(x - 4) - 7

y = 2x - 8 - 7

y = 2x - 15

For x = 0,

y = - 15

(0, -15)

For x = 1,

y = 2 - 15 = -13

(1, -13)

For x = 2,

y = 4 - 15 = -11

(2, -11)

And so on...

Thus,

The graph of the equation is given below.

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Some of the coordinates on the graph are (0, -15), (1, -13), (2, -11).

The graph of the equation is given below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of the equation y + 7 = 2 (x - 4).

y + 7 = 2 (x - 4)

y = 2(x - 4) - 7

y = 2x - 8 - 7

y = 2x - 15

For x = 0,

y = - 15

(0, -15)

For x = 1,

y = 2 - 15 = -13

(1, -13)

For x = 2,

y = 4 - 15 = -11

(2, -11)

And so on...

Thus,

The graph of the equation is given below.

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Answer:

Below

Step-by-step explanation:

1 2 and 3 do not pass the vertical line test because you can draw a vertical line that will cross the graph two times