Help! Geometry project parabolas part 3

Help! Geometry Project Parabolas Part 3

Answers

Answer 1

Answer:

[tex](x-2)^2=4(y+5)[/tex]

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry

[tex]\large\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}[/tex]

[tex]\textsf{Vertex}=(h, k)[/tex]

[tex]\textsf{Focus}=(h,k+p)[/tex]

[tex]\textsf{Directrix}:y=(k-p)[/tex]

[tex]\textsf{Axis of symmetry}:x=h[/tex]

If p > 0, the parabola opens upwards.

If p < 0, the parabola opens downwards.

From inspection of the given graph:

Vertex = (2, -5)Focus = (2, -4)Directrix: y = -6Axis of symmetry: x = 2

Therefore:

h = 2k = -5k + p = -4  ⇒  -5 + p = -4  ⇒  p = 1k - p = -6  ⇒  -5 - p = -6  ⇒  p = 1

Substitute the found values of h, k and p into the formula:

[tex]\implies (x-2)^2=4(1)(y-(-5))[/tex]

[tex]\implies (x-2)^2=4(y+5)[/tex]

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Related Questions

4. jamaal is collecting data on freddie's on-task behavior. he looks to see if freddie is on-task for an entire 10-second interval. if he is, he marks yes. if freddie looks around during the 10 seconds, he marks no. what type of data recording is jamaal using?

Answers

Jamaal using whole interval type of data recording to collect the data on Freddie’s on-task behavior.

What do you mean by whole interval data collection?

One form of interval recording technique is whole interval recording. An interval recording approach involves watching to see if a behavior happens or not within predetermined intervals of time. After determining the duration of an observation session, the time is divided into shorter segments that are all of the same length. To record the incidence of behavior, ten boxes may be utilized to divide a 10-minute observational session into 1-minute intervals. A whole interval recorder uses a X for occurrence and a O for no non-occurrence to indicate if a behavior occurred during the entire interval.

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PLEASE HELP ITS URGENT

Answers

Answer:

Hi, it's 8^9

Step-by-step explanation:

[tex]8^5\cdot \:8^4\\8^5\cdot \:8^4=8^{5+4}\\8^{5+4}\\=8^9\\[/tex]

A+B=0 and AB= -36

What is the value of A-B?
Please help me with step by step explanation.

Answers

The value of A - B is - 12

It is given that A + B = 0 .......... ( Eq . 1 )

A = - B ............ ( i )

Another equation which is given is :

AB  = - 36 ........... ( Eq . 2 )

Using (i) in Eq . 2

- B ( B ) = -  36

- B ² = - 36

B ² = 36

B  = √ 36

B = 6 .......( ii )

Using B = 6 in ( i ) ,

A B = - 36

A ( 6 ) = - 36

A = -6

This implies,  A = - 6 and B = 6

Now to find the value of A - B , we need to put the values

A - B = - 6 - 6

=  - 12

Hence, the value of A - B is - 12 .

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If x= -2 , calculate the value of x squared - x

Answers

Answer:

x= -2

Step-by-step explanation:

A square number is the result when a number has been multiplied by itself

Mr. harris is adding tiles to his patio area. on monday, he tiled 1/3 of his patio, and on tuesday, he tiled 1/2 of the patio area. how much would he have left to tile on wednesday?

Answers

The area left to be tiled on Wednesday is 1/6

Let the total area to tile be 60 sq feet

We have taken 60 sq feet as the LCM of 2 and 3 is 6. So taking up 60 makes our calculation part easy.

Area tiled on Monday = 1/3*60 = 20 sq feet

Area tiled on Tuesday = 1/2*60 = 30 sq feet

Area remaining to be tiled = 10 sq feet

So, a fraction of the area left to be tiled = Area left to be tiled/Total area to be tiled

= 10/60 = 1/6

Hence, 1/6 of the area is left to be tiled

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Answer:1/6

Step-by-step explanation:

Andre performs a 90-degree counterclockwise rotation of polygon p and gets polygon p but he does not say what center of the rotation is

Answers

The center of rotation for the polygon p is shown as the red point in the attached graph below.

A plane figure spins around a point known as the center of rotation. Throughout the rotation, this point remains stationary.

The fixed point that the rotation revolves around in a figure or object with rotational symmetry is referred to as the center of rotation. As an illustration, we consider the point in the middle of a windmill where the blades start to rotate.A rotation is a transformation in which every point of a figure is turned through a predetermined angle and in a predetermined direction around a fixed point. The fixed point is referred to as the rotational center. The term "angle of rotation" refers to the rotation's amount and is expressed in degrees.

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in how many different ways can the letters of the word detail' be arranged in such a way that the vowels occupy only the odd positions?

Answers

The number of ways in which the word detail can be arranged in such a way that the vowels occupy only the odd positions is 36.

We will find the number of permutations in which the word DETAIL can be arranged such that the vowels occupy odd positions.

The vowels are E, A and I. They can occupy 1st, 3rd and 5th position in any order. Hence, the number of ways to do that is 3! = 6.

Now, the consonants D, T and L can occupy 2nd, 4th and 6th position in any order. Hence, the number of ways to do that is 3! = 6.

Hence,

Total number of ways = 3! * 3! = 6*6 = 36.

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it is not always helpful to rewrite a quadratic equation in standard form as a first step in solving it.

Answers

The given statement is True.

"It is not always helpful to rewrite an equation in standard form as a first step in solving it."

Briefing:

In standard form, the right side of an equation should be 0 and every component on the left side should be 1. For example, x2 = 4; to express this in standard form, move the number 4 to the left side of the equation, resulting in x2 - 4 = 0.

If you are asked to find x in this circumstance, there is no need to write the equation in standard form; simply take this same real number of both of the equation's sides to find x.

How do I write a standard form equation?

Ax+By=C is the common structure for linear equations in two variables. 2x+3y=5, for example, is a simple linear equation. It is rather simple to find both intercepted communications when an equation is stated in this way (x and y). This form is indeed useful for solving two-linear equation systems.

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I understand that the question you are looking for is:

It is not always helpful to rewrite an equation in standard form as a first step in solving it.

True/False

Simplify 2x (3x + 4) - (3x ² + 8x - 2)

Answers

Answer:

I think it’s 6x^3 + 16x^2 - 4x

After simplify of this equation 2x (3x + 4) - (3x ² + 8x - 2). We get, the two factors which are +√(-2/3), -√(-2/3).

Given Equation:

2x (3x + 4) - (3x ² + 8x - 2)

2x (3x + 4) - 3x ² - 8x + 2

6x² + 8x - 3x ² - 8x + 2

3x ² + 2

To find the factors

3x ² + 2 = 0

x ² = -2/3

x = ±√(-2/3).

Therefore, the factors of given equation are +√(-2/3), -√(-2/3).

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(x-4) |x-4| i am looking for the simplification of this. i think the answer should be x^2 - 16, my teacher gave us an answer, but i don't believe it is correct. she gave us -x^2 +8x - 16.

Answers

It depends on the sign of [tex]x-4[/tex].

Recall the absolute value function's definition:

[tex]|x| = \begin{cases}x & \text{if } x \ge 0 \\ -x & \text{if } x < 0\end{cases}[/tex]

Now, if [tex]x-4\ge0[/tex], then

[tex](x-4)|x-4| = (x-4)(x-4) = x^2 - 8x + 16[/tex]

On the other hand, if [tex]x-4<0[/tex], then

[tex](x-4)|x-4| = -(x-4)(x-4) = -(x-4)^2 = -x^2 + 8x - 16[/tex]

What you first suggested is incorrect. We have

[tex]x^2 - 16 = (x - 4) (x + 4)[/tex]

but [tex]|x-4| \neq x + 4[/tex].

We can show this using the definition again. If [tex]x-4\ge0[/tex], then

[tex]x-4 = x+4 \implies -4=4[/tex]

which is a contradiction; on the other hand, if [tex]x-4<0[/tex], then

[tex]-x+4 = x+4 \implies 2x = 0 \implies x =0[/tex]

holds for only one value of [tex]x[/tex].

A shop has 5 different shirts and 7 different jeans. how many ways are there to select two items so that at least one jeans is chosen?

Answers

There are 56 number of possible ways are there to select two items so that at least one jeans is chosen.

Combinations:

Combinations is the number of ways in which you can choose r elements out of a set containing n distinct objects.

The combination formula that will allow you to determine the number of combinations in no time:

C(n,r) = n! / (r! (n-r)!)

where:

C(n,r) is the number of combinations;

n is the total number of elements in the set; and

r is the number of elements you choose from this set.

Given,

A shop has 5 different shirts and 7 different jeans.

Here we need to find how many number of ways ways are there to select two items so that at least one jeans is chosen.

Let's say,

First, you picked up 1 jeans and 1 shirt …

Then the number of ways to do that is

=> ⁵C₁ x ⁷C₁

=> 5 x 7

=> 35

Similarly, in second case you picked up the only 2 jeans

number of ways to do that is

=> ⁷C₂

=> 21

So the final answer will be sum of both the cases that is

=>( ⁵C₁ x ⁷C₁ ) + (⁷C₂)

=> 35+21

=> 56 ways

Therefore, there are 56 possible ways to select two items so that at least one jeans is chosen.

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Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.
4x-8/2=10

Answers

Answer:

Question 4x-8/2=10       Answer X=7

Step-by-step explanation:

Frist Multiply both sides :by 2

          [tex]\frac{2\left(4x-8\right)}{2}=10\cdot \:2[/tex]

Simplify

        4x-8=20

Add 8 to both sides

        4x-8+8=20+8

Simplify

        4x=28

Divide both sides by 4

          [tex]\frac{4x}{4}=\frac{28}{4}[/tex]

        Simplify

                       X= 7                                

Hope this helps

Pls mark brainliest

Suppose there is a 1.1°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 59.7°F, what will be the temperature at an altitude of 11,000 feet?

Answers

The temperature at an altitude of 11,000 feet will be 47.6°F

Calculating temperature

From the question, we are to calculate the temperature at an altitude of 11,000 feet

From the given information,

There is a 1.1°F drop in temperature for every thousand feet

and

The temperature on the ground is 59.7°F

Now,

We are to determine the temperature at an altitude of 11,000 feet

Since the temperature  drops by 1.1°F for every thousand feet,

Then,

At an altitude of 11,000 feet, the temperature would have dropped by 1.1°F 11000/1000 times

That is, the temperature would have dropped by that magnitude 11 times

Thus,

The temperature at an altitude of 11,000 feet = 59.7°F - 11×1.1°F

The temperature at an altitude of 11,000 feet = 59.7°F - 12.1°F

The temperature at an altitude of 11,000 feet = 47.6°F

Hence, the temperature at an altitude of 11,000 feet will be 47.6°F

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25-(3x+10) the sum tear and share

Answers

Answer:

The Answer is -3x+15

Answer:

Step-by-step explanation:

25= (3x+10)

25-10 =

15=3x

15/3= 3x/3

5=x

Heellppp I cant figure it out

Answers

Answer:

It will be 29/1000

Step-by-step explanation:

Because each kg equal 1000 milie gram

the answer should be 29/1000. Because each kg equals 1000 millagrams

Need help please quick asap thank you giving brainlest

Answers

Answer C :

[tex](5 {}^{ - 3} ) {}^{6} = 5 {}^{ - 3 \times 6} = 5 {}^{ - 18} = \frac{1}{5 {}^{18} } [/tex]

Answer:

C is correct.

Step-by-step explanation:

(5^-3)^6

= 5 ^(-3*6)

= 5^-18

= 1 /5^18.

A triangle with vertices at (-6, 5), (-5, 1), and (-8, 2) is reflected over the y-axis. What are the coordinates of the vertices of the reflected image? Enter the correct answers in the boxes. Show Hints Preimage coordinates Image coordinates (-6,5) (-5,1) (-8,2)​

Answers

The coordinates of the vertices of the reflected image are

A' ( 6,5) , B' ( 5,1), C' ( 8,2)

given that

a triangle has vertices A ( -6,5 ) , B (-5, 1) , C( -8,2 )

it is reflected over Y axis

we have to find the coordinates of the vertices of the reflected image

since it is reflected over Y axis then only the sign of x coordinates changes

the rule for a reflection over the Y axis is (x, y) -> ( -x , y)

the y coordinate in this case is unchanged

the vertices changes and it become

A( -6, 5) -> A' ( 6,5)

B ( -5, 1) -> B' ( 5,1)

C ( -8,2) -> C' ( 8,2)

preimage of coordinates attached below

Hence the coordinates of the vertices of the reflected image are

A' ( 6,5) , B' ( 5,1), C' ( 8,2)

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A transformation maps shape A onto shape B.

Each of the side lengths of shape B is four times as long as the corresponding side length of shape A.

Fill in the gaps to describe this transformation.

Answers

Answer: Enlargement with a scale factor 4

Step-by-step explanation:

      Since shape B is four times as long as shape A, this is an enlargement with a scale factor of 4.

      What is scale factor?

Scale factor is a ratio between the original and transformed objects. Here, it is 4.

Find an equation for the surface obtained by rotating the line x = 4y about the x-axis.

Answers

The equation: [tex]\frac{x^{2}}{6^{2}}={y^{2}+z^{2}[/tex],  represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.

What is surface of revolution?A surface created by rotating a two-dimensional curve about an axis is known as a surface of revolution. As a result, the final surface is always symmetric along the azimuth.

Now,

If we consider the point (6y, y, 0) in the xy plane, it appears to be a circular path that is a cone when the curve is rotated about the x axis. The cone's equation takes the following form:

[tex]\frac{x^{2}}{c^{2}}=\frac{y^{2}}{a^{2}}+\frac{z^{2}}{b^{2}}[/tex]

Given that x = 6y, we square x = 6y to give the equation the form shown above, which results in:

x² = (6y)²

x² = 36y²

Circular paths go parallel to the y-axis, hence the equation should be circular in nature. 36z² needs to be added, so:

x² = 36y² + 36z²

=> [tex]\frac{x^{2}}{6^{2}}={y^{2}+z^{2}[/tex]

Hence, This equation represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.

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Brittany says she can read about 220 words per minute. She has a book that is 300 pages long and each page has about 370 words per page. How many hours will it take Brittany to finish the book?​

Answers

We want to do a change of units of a rate, from words per minute to words per hour.

We will find that the answer is 22,200 words per hour.

The rate that we need to modify is:

370 words/minute

So the time is in the denominator.

Also, remember that:

1 hour  = 60 minutes.

Then:

1 minute = (1/60) hours.

Using the above relation, we can replace the "minute" in the denominator by (1/60) hours, so we get:

370 words/minute = 370 words/((1/60) hours.) = 60*370 words/hour

                               22,200 words/hour.

Then the rate is 22,200 words per hour.

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Answer:

We want to do a change of units of a rate, from words per minute to words per hour.

We will find that the answer is 22,200 words per hour.

The rate that we need to modify is:

370 words/minute

So the time is in the denominator.

Also, remember that:

1 hour  = 60 minutes.

Then:

1 minute = (1/60) hours.

Using the above relation, we can replace the "minute" in the denominator by (1/60) hours, so we get:

370 words/minute = 370 words/((1/60) hours.) = 60*370 words/hour

                              22,200 words/hour.

Then the rate is 22,200 words per hour.

Step-by-step explanation:

The probability that john,beth, and avery will be elected secretary of the key club are 1/8,2/5, and 1/3 what is the probability that one of the three will be elected?

Answers

the probability that one of the three will be elected = [tex]\frac{19}{30}[/tex]

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a certain event will occur.

As per the question, it is given that :

Probability of John (A) = [tex]\frac{1}{8}[/tex]

Probability of Beth (B) = [tex]\frac{2}{5}[/tex]

Probability of Avery (C) = [tex]\frac{1}{3}[/tex]

The probability that one of the three will be elected :

P(A) * P(B') * P(C') + P(A') * P(B) * P(C') + P(A') * P(B') * P(C) = P(A) * (1 - P(B)) * (1 - P(C)) + (1 - P(A)) * P(B) * (1 - P(C)) + (1 - P(A)) * (1 - P(B)) * P(C).

here, P(A) = Probability of A happening

        P(A') = Probability of A not happening

= [tex](\frac{1}{8} * \frac{3}{5} * \frac{2}{3}) + (\frac{7}{8} * \frac{2}{5} * \frac{2}{3}) + (\frac{7}{8} * \frac{3}{5} * \frac{1}{3})[/tex]

= [tex]\frac{1}{20} + \frac{7}{30} + \frac{7}{20}[/tex]

= [tex]\frac{3 + 14 + 21}{60}[/tex]

= [tex]\frac{38}{60}[/tex]  =  [tex]\frac{19}{30}[/tex]

Therefore, the probability that one of the three will be elected = [tex]\frac{19}{30}[/tex]

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a pencil at a stationery store costs $1, and a pen costs $1.50. stella spent $21 at the store. she bought a total of 18 items. which system of equations can be used to find the number of pencils (x) and pens (y) she bought?

Answers

Answer:x+1.5y=21

Step-by-step explanation:

We know that a pencil is $1, so let's represent that as 1x or just x. We also know that each pen costs $1.50, and let's represent this as 1.5y for the number of pens Stella bought. Your equation would be x+1.5y=21.

using the following quantities, calculated from these data, estimate the correlation between the percentage of dopamine receptors blocked and subjects’ ratings of the cocaine high. provide a standard error with your estimate. sum of products: 957.5 sum of squares (receptors blocked): 8145.441 sum of squares (rating of high): 372.5

Answers

correlation coefficient,r = 0.5497

Standard Error,[tex]SE_{r} = 0.1477[/tex]

What is dopamine?

Dopamine, also known as DA or 3,4-dihydroxyphenethylamine, is a neuromodulatory chemical with a variety of crucial functions in cells. It is an organic substance that belongs to the phenethylamine and catecholamine families. About 80% of the catecholamines in the brain are made up of dopamine. It is an amine produced by removing a carboxyl group from a molecule of L-DOPA, which is used as a precursor and is produced in the kidneys and brain. Plants and the majority of animals can produce dopamine as well. Dopamine performs the role of a neurotransmitter in the brain, which is a substance secreted by neurons (nerve cells) to communicate with other nerve cells. Although neurotransmitters are only produced in some parts of the brain, they have a systemic impact on numerous areas.

Let the random variable, X = % of dopamine receptors blocked and Y= subject's ratings of cocaine high.

The correlation coefficient, r

Given:

[tex]SS_{XY}[/tex] = 957.5

[tex]SS_{X}[/tex] = 8145.441

[tex]SS_{Y}[/tex]= 372.5

The correlation coefficient between the variables, X and Y is obtained using the following formula,

[tex]r=\frac{SS_{XY} }{\sqrt{SS_{X} \times SS_{Y} } }[/tex]

[tex]r=\frac{957.5 }{\sqrt{{8145.441} \times372.5 } } }[/tex]

r = 0.5497

The standard error for the estimate of the correlation coefficient is obtained using the following formula,

[tex]SE_{r} = \sqrt{\frac{1-r^{2} }{n-2} }[/tex]

From the scatterplot, the sample size, n = 34

[tex]SE_{r} = \sqrt{\frac{1-(0.5497)^{2} }{34-2} }[/tex]

[tex]SE_{r}=0.1477[/tex]

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Camille rolls two number cubes​ together, and records the sum. if she does this 180​ times, how many times should she expect the sum to be​ 7? explain your answer. loading... click the icon to view the possible sums of the number cubes. question content area bottom part 1 the sum should be 7 approximately enter your response here ​time(s). the probability of a sum of 7 is enter your response here. ​so, to predict the number of times that a sum of 7 is​ rolled, solve the proportion ▼ one sixth equals startfraction x over 36 endfraction . one sixth equals startfraction x over 180 endfraction . seven twelfths equals startfraction x over 180 endfraction . seven twelfths equals startfraction x over 36 endfraction .

Answers

The total number of times 7 can occur as the sum on rolling two cubes for 180 times is 30. It is gained by applying the knowledge of probability to the given problem.

What is probability?

Probability depicts the number of possibilities of how many times an event can occur. The probability of happening of an event invariably lies between 0 and 1. For a sure event, it is always 1. Its formula is given as P(E) = No. of favourable outcomes / Total no. of outcomes

Calculation of the total number of times 7 can appear as a sum on rolling two cubes for 180 times

Number of cubes rolled = 2

Total number of outcomes on rolling two cubes = 36

Total possibility of getting 7 as sum = 6

The probability of getting 7 as a sum on rolling two dice only once is given by P(E1)

P(E1) = 6 / 36

         = 1 / 6

She repeated the process 180 times  so the needed probability, P(E) is obtained by multiplying 180 by P(E1)

P(E) = 180 × (1 / 6)

P(E) = 30

Hence, the required probability of getting 7 as the sum is given by 30.

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6. Draw the rotated image on the same graph.
Rotate 180° about (0, 0).
A
b
C

Answers

Answer:

Answer in the photo

Step-by-step explanation:

Hope this helps x :)

Sofias bank account statement said she had -25$ she dopsited 47$ Into her account what is Sofias balance after she made that deposite

Answers

Answer: $22

Step-by-step explanation:

47- 25= 22

Cool Down: Drawing a Pool
A rectangular swimming pool measures 30 meters in length and 15 meters in width.
1. Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters
11-1
1=201

Answers

The pool's new dimensions will be 10cm by 5cm, where 1 centimeter equals 5 meters.

What do we mean by dimensions?The dimension of a mathematical space is defined informally in physics and mathematics as the smallest number of coordinates required to specify any point within it. A line has a dimension of one because it only requires one coordinate to specify a point on it, such as the point at 5 on a number line.

So, scaling is a technique for resizing an object. It can either enlarge or decrease the size of the object.

A rectangular pool's dimensions of 50m by 25m

Making a scale drawing of the pool in which 1cm equals 5 meters, that is:

1 cm = 5m .... (1)

The length:

L = 50 m ..... (2)

Subtraction of both expressions 1 and 2:

1/L = 5/505L = 50L = 50/5L = 10cm

In terms of width:

The original width was 25 meters.

Obtain new width:

1/W = 5/255W = 25W = 25/5W = 5cm

Therefore, the pool's new dimensions will be 10cm by 5cm, where 1 centimeter equals 5 meters.

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The correct question is given below;
A rectangular swimming pool measures 50 meters in length and 25 meters in width. Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters.

Please help 1 through 4

Answers

Answers:

1.) Plot the numbers on the y-axis (vertical line) and the countries on the x-axis (horizontal). Then, put "Cars (billions)" to label the y-axis and put "Country" to label the x-axis. There is an example attached.

2.) Do the same thing as #1 but label the y-axis with "People (hundreds)" and the x-axis as "Colonies".

3.) Japan because 8 is the greatest amount comparing to the other countries.

4.) Japan made 6 million more cars than Spain since 8 - 2 = 6. (We are counting the cars in millions)

I’m stuck on this question can somebody help me

Answers

Answer:

X=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

What are 3 items that need to be addressed in the coding quality plan that will help achieve the kpi of 98 ccuracy?

Answers

Quality auditsCoder mentoringCoding support

are the three items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.

KPI:

KPI = Key Performance Indicator

A performance indicator or key performance indicator is a type of performance measurement. It basically evaluate the success of an organization or of a particular activity in which it engages.

Given,

Here we need to find the 3 items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.

The following are the 3 major pillars that are helps to achieve the KPI of 98 accuracy.

Quality auditsCoder mentoringCoding support

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