What are the 4 methods of solving linear equations?

The graph is misleading because the x-axis scale shows that the given data is more clustered than it actually is.

What is a misleading graph?

A misleading graph, sometimes referred to as a distorted graph, misrepresents data, amounts to statistical abuse, and may lead to the drawing of an inaccurate conclusion.

What is a data set?

A data set is a grouping of connected, discrete pieces of connected data that can be viewed separately, together, or handled as a single unit. A data structure of some kind is used to arrange a data set.

Here, we have

2 events with a cost of 1,000-1,499;

4 events with a cost of 1,500 to 1,999;

3 events with a cost of 2,000 to 2,499;

1 event with a cost of 3,000 to 3,499

We concluded from the given dataset that the cost of the event is plotted on the x-axis.

In a given dataset, the entry from 2500 to 2599 is missing.

The graph generates a point cluster that isn't actually displayed on the data components because of the missing item.

Hence, the graph is misleading because the x-axis scale shows that the given data is more clustered than it actually is.

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The control limits for 3-sigma x chart are

Upper Control Limit - 3.807 inches

Lower Control Limit - 2.291 inches

The control limits for the 3-sigma R-chart are Upper Control Limit- 2.373 inches

X-double bar = Sum of observations (x-bar) / Total number of observations

X-double bar = 73.17 / 24

X-double bar = 3.049

R-bar = Sum of observations (R) / Total number of observations

R-bar = 24.97 / 24

R-bar = 1.040

(a) The Upper Control Limit (UCLx) and Lower Control limit (LCLx) for the 3-sigma x-bar chart is calculated as,

UCLx = X-double bar + (A2 x R-bar)

LCLx = X-double bar - (A2 x R-bar)

From the table of factors for computing the control chart limits (3-sigma),

For n = 4 (4-pieces of precision cut wire)

A2 = 0.729

Putting these values in the above formulas, we get,

UCLx = 3.049 + (0.729 x 1.040)

UCLx = 3.807 inches

LCLx = 3.049 - (0.729 x 1.040)

LCLx = 2.291 inches

Based on the x-bar chart, the wire cutting process has been out of control, because the observation at 19th hour (4.51) lie outside the computed upper control limit and lower control limit.

(b) The Upper Control Limit (UCLr) and Lower Control limit (LCLr) for the 3-sigma  R-chart is calculated as,

UCLr = D4 x R-bar

LCLr = D3 x R-bar

From the table of factors for computing the control chart limits (3-sigma),

For n = 4 (4-pieces of precision cut wire)

D3 = 0, D4 = 2.282

Putting these values in the above formulas, we get,

UCLr = 2.282 x 1.040

UCLr = 2.373 inches

LCLr = D3 x R-bar

LCLr = 0 x 1.040

LCLr = 0 inches

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Answer:

A

Step-by-step explanation:

rise/run, so the slope would be 3/2, but since the graph is a negative it would be -3/2

and the y-intercept is 130

Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

Answer:

63

Step-by-step explanation:

If you have the total number of students at the school, you can divide that by 60 and you get 3. You make 21 and 60 a fraction to get you 21/60. You then multiply 21 by 3 to get 63. 63 kids pack lunch.*

*not sure if this is correct or not?

Step-by-step explanation:

From the image, let Angle 1 be x, and angle 2 be 16°

\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)

The value worth of the car after 14 years will be $38,259 (Rounded to the nearest dollar).

Given information:Value of a $29,575 car decreases by 25% each year due to depreciation. We need to find how much will the car be worth after 14 years using the above information.Therefore,To find out how much the car will worth after 14 years, we can use the below formula:P = (1-r/n)^nt × P₀Where,P₀ = Initial value of the carP = Worth of the car after n yearsr = Annual depreciation rate (0.25) or 25%t = Number of years elapsedWe can substitute the given values in the above formula:P = (1-0.25/1)^14 × 29,575= (0.75)^14 × 29,575= 1294.632 × 29,575= 38,258.97 (Rounded to the nearest whole number)= $38,259 (Rounded to the nearest dollar)Hence, the worth of the car after 14 years will be $38,259 (Rounded to the nearest dollar).

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The estimated probability of having at least 5200 ones in the data packet is close to 1 or is approximately equal to Q(1).

To estimate the probability of having at least 5200 ones in a data packet consisting of 10,000 bits with an equal probability of 0 or 1, we can use the Q-function.

The Q-function is defined as the probability that a standard normal random variable is greater than a given value. In other words, it tells us the probability that a random variable falls in the tail of the normal distribution.

Step 1:

To apply the Q-function to this problem, we can use the fact that the number of ones in the data packet follows a binomial distribution with n=10,000 and p=0.5. The Q-function can then be used to find the probability of having at least 5200 ones:
Calculate the mean (µ) and standard deviation (σ) of the binomial distribution.
In this case, since each bit has an equal probability of being 0 or 1, the mean (µ) is n * p, where n = 10,000 and p = 0.5. So, µ = 10,000 * 0.5 = 5000.
P(X ≥ 5200) = 1 - P(X < 5200)
P(X < 5200) = Σi=0^5199 (n choose i) * p^i * (1-p)^(n-i)
P(X < 5200) = Q((5200 - np)/√(np(1-p)))
P(X ≥ 5200) = 1 - Q((5200 - np)/√(np(1-p)))

Step 2: Standardize the number of ones (5200) to a z-score.
Using the binomial distribution formula, we can calculate P(X < 5200) to be approximately 0.0515. Substituting this value into the Q-function formula, we get:
P(X ≥ 5200) = 1 - Q((5200 - 10000*0.5)/√(10000*0.5*0.5))
P(X ≥ 5200) = 1 - Q(-28.28)
P(X ≥ 5200) ≈ 1

Step 3: Estimate the probability using the Q-function.
The probability of having at least 5200 ones is equal to the probability of having a z-score greater than or equal to 1. This probability can be estimated using the Q-function, denoted by Q(z).

Therefore, the estimated probability of having at least 5200 ones in the data packet is close to 1 or is approximately equal to Q(1).

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The percentage of respondents who selected basketball as their favorite sport is 12/149

The proportion of respondents who like soccer who are adults between the ages of 18 and 30 is equal to this proportion of respondents overall.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a statement to that effect is used.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

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Answer:

Step-by-step explanation:

Answer:

hiii

Step-by-step explanation:

=-8

Answer:

x = -5

Step-by-step explanation:

Using the Pythagorean Theorem, it is found that using a straight line distance, he could have jogged 32 meters.

The Pythagorean Theorem relates the length of the legs \(l_1\) and \(l_2\) of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the equation presented as follows:

\(h^2 = l_1^2 + l_2^2\)

In the context of this problem, the sides of the triangle are given as follows:

Hence the distance that he could have jogged is the hypotenuse of the right triangle, calculated as follows:

d² = 20² + 25²

d = sqrt(20² + 25²)

d = 32 meters.

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The function has positive concavity over the interval from 2 inches to 6 inches because the AROC is increasing and an increasing rate.

The average rate of change (AROC) of the area with respect to the side length can be found by calculating the change in the area divided by the change in the side length.

To determine the AROC of the area as the side length increases from 2 inches to 4 inches, we need to calculate the change in area and the change in side length over that interval. Let's denote the initial side length as Z1 and the final side length as Z2.

Initial side length (Z1) = 2 inches

Final side length (Z2) = 4 inches

Change in side length = Z2 - Z1 = 4 - 2 = 2 inches

Now, we need to calculate the corresponding change in the area. Using the given function f(Z) = 2Z² + 20%, we can find the area at Z1 and Z2.

Area at Z1: f(Z1) = 2(2)² + 20% = 8.8 square inches

Area at Z2: f(Z2) = 2(4)² + 20% = 32.8 square inches

Change in area = f(Z2) - f(Z1) = 32.8 - 8.8 = 24 square inches

The function has positive concavity over the interval from 2 inches to 6 inches because the AROC is increasing and an increasing rate.AROC of area with respect to side length from 2 inches to 4 inches = Change in area / Change in side length = 24 square inches / 2 inches = 12 square inches per inch.

To determine the AROC of the area as the side length increases from 4 inches to 6 inches, we repeat the same process.

Initial side length (Z1) = 4 inches

Final side length (Z2) = 6 inches

Change in side length = Z2 - Z1 = 6 - 4 = 2 inches

Area at Z1: f(Z1) = 2(4)² + 20% = 32.8 square inches

Area at Z2: f(Z2) = 2(6)² + 20% = 72.8 square inches

Change in area = f(Z2) - f(Z1) = 72.8 - 32.8 = 40 square inches

AROC of area with respect to side length from 4 inches to 6 inches = Change in area / Change in side length = 40 square inches / 2 inches = 20 square inches per inch.

The function has positive concavity over the interval from 2 inches to 6 inches because the AROC is increasing and an increasing rate.

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Answer:

The correct answer is slot one/1... Have great day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

6. False. The present value (PV) is the initial investment or the amount invested in the stock, which is $7,500, not the amount received today ($8,050).

7. $1,200 represents the variable PMT (Payment). It represents the total dividends received over the four-year period.

8. The future value (FV) amount is $8,050, which is the amount received from selling the stock today.

9. It is not necessary to clear the TVM (Time Value of Money) registers when the calculations are completed, and you don't need to perform any further calculations.

10. True. When the "periods per year" register is set to 1, the periodic rate (interest rate) should be entered directly into the i-register as a decimal value, such as 0.05 for 5%.

Therefore, the PV is not $8,050 but $7,500, representing the initial investment. The variable $1,200 represents the PMT (payment) or the total dividends received. The FV amount is $8,050, the selling price of the stock. Clearing the TVM registers is not necessary after completing calculations, and when "periods per year" is set to 1, the periodic rate is entered directly into the i-register.

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490

472 <490<500

it fits the criteria

Quadratic equation properties are described below:

1) A parabola that opens upward ( depends on the coefficient of x² ) contains a vertex that is a minimum point.

2) Standard form is y = ax² + bx + c, where a≠ 0.

a, b, c = coefficients .

3)The graph is parabolic in nature .

4)The x-intercepts are the points at which a parabola intersects the x-axis either positive or negative x -axis .

5)These points are also known as zeroes, roots, solutions .

Hence quadratic equation can be solved with the help of these properties.

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Answer:

222 okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:

138°.

Step-by-step explanation:

Extend one of the lines that forms the angle. You should get a triangle. Because the topmost and bottoms lines are straight, one of the angles has to equal 180-111, which is 69°(nice). The opposite angle to that has to also be that size. Since the topmost and bottomost lines are parallel the alternate interior angle to the 111° outside of the triangle would also equal 111°. So, because it's a straight line, the angle next to it, which is inside the triangle, is once again 69°(nice). Then, since you have 2 angles of the triangle you can add them together and subtract their sum from 180°, that should be 42°. One of the lines that 42° is on is also one x is on, so 42°+x=180°. Using this, you can find that x should be about 138°, I think.

Answer:

I=$57.00

I=Prt

I=(475)(.04)(3)

I= $57.00

Answer:

y = 3x - 8

Step-by-step explanation:

_______________

Answer:

Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

Step-by-step explanation:

The general form of the straight line equation is, y = m·x + c

Where;

m = The slope

c = The y-intercept

The parent function is, f(x) = x

The slope of the parent function, m₁ = 1

The y-intercept of the parent function, c₁ = 0

The x-intercept of the parent function = 0

The equation of the given function g(x) is derived as follows;

Two points on the line g(x) are (-2, 5) and (1, -4)

The slope of g(x), m₂ = (-4 - 5)/(1 - (-2)) = -3

The equation of g(x) is therefore;

y - 5 = -3 × (x - (-2)) = -3·x - 6

∴ y = -3·x - 6 + 5 = -3·x - 1

y = -3·x - 1

The slope of the given function, m₂ = -3

The y-intercept of the given function, c₂ = -1

The x-intercept of the function = -1

We have that a reflection of (x, y) across the y-axis gives (-x, y)

Therefore, the function g(x) is a reflection of f(x) across the y-axis

The slope of g(x) = -3 × The slope of f(x), therefore, g(x) is obtained by a vertical stretch of of f(x) by a factor of 3

The y-intercept of g(x) is lower than the y-intercept of g(x) by -1, therefore, f(x) is shifted down vertically by 1 unit to obtain g(x)

Therefore, the sequence of transformation that can be used to obtain g(x) from the parent function f(x) are;

Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

Let's begin by listing out the information given to us:

PTA has 180 soda packs to sell = 180 soda packs

Each pack of soda cost $9.99 = $9.99 /soda

PTA sold 95 packs of soda before school = 95 soda packs

To find how much money the PTA collected after school, we will have to find the number of soda packs sold after school

To get the number of soda packs sold after school, subtract the number of soda packs sold before school from the total number of soda packs.

Mathematically,

Number of soda packs sold after school = 180 - 95 = 85 soda packs

How much money did the PTA collect when selling sodas after School = Number of soda packs sold after school * Cost of each soda pack

= 85 * 9.99 = $849.15

2/63 as a percentage round to the nearest tenth of a percent can be written as 31.7%

Fractions refer to a part of a whole. The word fraction comes from Latin word Fractus meaning broken. A percentage is a number that can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol %.

Fractions can be converted into percentages by the following steps:

1. Convert the fraction into decimals.

Therefore, on converting 2/63 to decimal we get 0.317

2. Multiply the given decimal by 100 to get a percentage

Hence, the percentage we get after multiplication is 31.7%.

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The descriptions of the transformations are:

The function is given as:

f(x) = -2|x + 6|

The above function is an absolute value function, and an absolute value function is represented as:

f(x) = a|x - h| + k

Where

Vertex = (h, k)

Scale factor = a

So, we have:

a = -2

(h, k) = (-6, 0)

There is no restriction to the input values.

So, the domain is the set of all real numbers

The y value in (h, k) = (-6, 0) is 0

i.e.

y = 0

Because the factor is negative (-2), then the vertex is a minimum

So, the range is all set of real numbers greater than or equal to 0

Hence, the descriptions of the transformations are:

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Answer:

4;18 , 6:27, 8;36 and so on

Step-by-step explanation:

just multiply both components with the same number. for eg : 2;9 = 2×2;9×2= 4;18

Answer:

4:18

Step-by-step explanation:

To get this Answer I Started by multiplying 2 by 2 then 9 by 2 beacuse when finding an equivalent ratio you multiply whatever number you have by whatever number you want ( 2x2) then multiply whatever number you multiplied it by (9x2) to find your equivalent ratio!

Hope this helps!
Make sure to take notes and practice! :)

Answer:

Use M a t h w a y it helps. Trust me.

The sum of scores in quizzes of math is \(\boldsymbol{885}\).

"To understand the calculation, check below."

Mean is calculated by dividing sum of all the observations by number of observations.

For a data collection containing numbers that are close together, the mean is the best option.

Total number of quizzes in math \(=10\)

Mean scores \(=88.5\)

Therefore,

Sum of all scores \(=10 \times 88.5\) \(=\boldsymbol{885}\)

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Answer:

66°

Step-by-step explanation:

No, events A and B are not independent.

Events A and B are not independent because the occurrence of event A (first ball is red) affects the probability of event B (second ball is green). In order for two events to be independent, the probability of the second event must remain the same regardless of whether the first event occurs or not.

Let's consider the probabilities involved. Initially, the urn contains 4 red balls and 7 green balls, making a total of 11 balls. When we pick a ball from the urn and observe its color, there is a probability of 4/11 that the first ball is red. After observing the color and returning the ball to the urn, the urn still contains 4 red balls and 7 green balls.

Now, for event B, the probability of drawing a green ball on the second pick depends on the outcome of the first pick. If the first ball is red, then the probability of the second ball being green is 7/11, since there are still 7 green balls remaining out of the total 11 balls. However, if the first ball is green, then the probability of the second ball being green becomes 6/11, as there are now 6 green balls left out of the total 11 balls.

Since the probability of event B changes depending on whether event A occurs or not, events A and B are not independent.

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Answer:

$357.5

Step-by-step explanation:

Answer:

347.50

Step-by-step explanation:

you have to put the 0 at the end i didnt and got it wrong.

Answer:

C

Step-by-step explanation:

hope this helps!

have a great day :)