Verona is solving the equation -3 + 4x = 9. In order to isolate the variable term using the addition property of equality, which number should she add to both sides of the equation?

–4
3
–3
4

(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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A candle stick chart shows open and close prices and highs and lows, but over a long time period it can also show pricing trends.

In Mathematics and statistics, a chart can be defined as an effective medium that is used to graphically display data in a pictorial form. This ultimately implies that, a chart typically comprises the following elements:

In Financial accounting and statistics, a candle stick chart can be defined as a type of price chart that is typically used in technical analysis to graphically represent the low, high, open, and closing prices of a derivative, security, or currency, over a specific period of time.

In conclusion, a candle stick chart can display pricing trends over a long time period.

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Answer:

the answer is

Step-by-step explanation:

1.553 yards

1.42 m to customary units is 1.553 yards.

On the other hand, "customary" US units have relationships that are not powers of 10;

 1 ft = 12 in

 1 yd = 3 ft

 1 rod = 5.5 yd

 1 chain = 4 rods

 1 furlong = 10 chains = 220 yards

 1 mile = 8 furlongs = 1760 yards = 5280 feet

The point of this exercise is to give you an appreciation of the fact that metric length units are related by powers of 10 means units conversion generally consists only of adjustment of the decimal point, or the power of 10 (for numbers in scientific notation).

For example;

1 cm = 10 mm

 1 dm = 10 cm

 1 m = 10 dm = 100 cm = 1000 mm

 1 km = 1000 m

The prefixes m, c, d, k are standard SI prefixes applicable to other SI units as well.

Therefore, the conversion from one unit of US customary measure to another involves conversion factors that are not always easily remembered.

Hence,  1.42 m to customary units is 1.553 yards.

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Maximize Z = -2x1 + x2 - 4x3 + 3x4 subject to the following constraints:

x1 + x2 + x3 + 2x4 + s1 = 4,

-x1 + x3 + x4 - s2 = -1,

2x1 + x2 + s3 = 2,

and x1 + 2x2 + x3 + 2x4 = 2, where x1, x2, x3, x4, s1, s2, s3 ≥ 0.

To reformulate the given problem in the standard form of a linear programming model, we need to convert all the inequalities into equations and express all variables as non-negative.

The standard form of a linear programming problem is as follows:

Maximize (Z) = c1x1 + c2x2 + c3x3 + c4x4

Subject to:

a11x1 + a12x2 + a13x3 + a14x4 = b1

a21x1 + a22x2 + a23x3 + a24x4 = b2

a31x1 + a32x2 + a33x3 + a34x4 = b3

an1x1 + an2x2 + an3x3 + an4x4 = bn

x1, x2, x3, x4 >= 0

Now let's reformulate the given problem:

Maximize (Z) = -2x1 + x2 - 4x3 + 3x4

Subject to:

x1 + x2 + x3 + 2x4 <= 4

-x1 + 0x2 + x3 + x4 >= -1

2x1 + x2 + 0x3 + 0x4 <= 2

x1 + 2x2 + x3 + 2x4 = 2

x1, x2, x3, x4 >= 0

The reformulated linear programming problem in standard form is as follows:

Maximize (Z) = -2x1 + x2 - 4x3 + 3x4

Subject to:

x1 + x2 + x3 + 2x4 + s1 = 4

-x1 + x3 + x4 - s2 = -1

2x1 + x2 + s3 = 2

x1 + 2x2 + x3 + 2x4 = 2

x1, x2, x3, x4, s1, s2, s3 >= 0

Note: The reformulated problem includes slack variables s1, s2, and s3 to convert the inequalities into equations, and all variables are non-negative.

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Step-by-step explanation:

1)  Total rectangle area =  W x H = 12 x 8 = 96 cm^2

 area of triangle (shaded portion) = 1/2 base * height = 1/2 * 7 x 8 = 28 cm^2

              Nonshaded portion = 96 - 28 cm^2 = 68 cm^2

          ratio shaded:nonshaded is then   28 : 68 = 7:17

2)   Look at the two middle triangles :  Height of each = 8 cm

       then reading across the diagram  height + base + height = 21 cm

            so base = 5 cm

   area of ONE triangle = 1/2 * base * height = 1/2 * 5 * 8 = 20 cm^2

        total area for FOUR of them  = 80 cm^2

Answer:

The answer is Quadratic

Answer:

8 inches

Step-by-step explanation:

If 1 : 400

X :3200

Therefore 400x = 3200

X =8

Answer:

42

Step-by-step explanation:

(7)x6

42

Answer:

42

Step-by-step explanation:

Remember:

P arenthesess

E xponent

M ultiplictaion

D ivision

A ddition

S ubtraction

First,

3 + 4 = 7

Then,

7 x 6 = 42

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Step-by-step explanation:

The washer costs $624 and the dryer costs 312.

624 is double 312 so that works out. Also if you add 624 and 312 you get 936.

Answer:

Washer = 642
Dryer = 321

Step-by-step explanation:

Answer:

- the pressure will decrease

(volume is doubled ,the pressure reduced by half).

Step-by-step explanation:

P_1 V_1=P_2 V_2

This equation shows that, as volume increases, the pressure of the gas decreases in proportion.

Similarly, as volume decreases, the pressure of the gas increases.

Answer:

D. 5.7

Step-by-step explanation:

due to its reflection

Answer:

D

Step-by-step explanation:

A(3, 4)   ;     B(-1 , 0)

Distance= \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

              = \(\sqrt{(-1-3)^{2}+(4-0)^{2}}\\\\=\sqrt{(-4)^{2}+(4)^{2}}\\\\=\sqrt{16+16}\\\\=\sqrt{32}\\\\=\sqrt{2*2*2*2*2}\\\\=2*2\sqrt{2}=4\sqrt{2}\)

                = 4 * 1.4142

               = 5.6568

               = 5.7      

The total amount of ga-lletas she can sell per day will be

236ga-lletas

Given that the total number of ga-lletas Edurne makes is 500

Total amount she can sell = 500 - 264

Total amount that she can sell = 236ga-lletas

Hence the total amount of ga-lletas she can sell per day will be

236ga-lletas

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Answer:

y = 108 degrees

Step-by-step explanation:

Set 2x + 16 and 3x - 12 equal to each other.  Subtract 2x on both sides to get this equation 16 = x - 12, add 12 on both sides to get 28 as your x value.  Plug in x for 3x - 12.  You should get 72 degrees on one side and 108 degrees on another side as y since FE makes up as a straight angle.

The integral of the product of two one-dimensional integrals is (2r+20)(r+44)

In mathematics, an integral is a mathematical object that represents the area under or between curves. It is used to solve problems in calculus, physics, engineering, and many other fields.

Now, let's take a look at the given integral and see how we can rewrite it as a product of two one-dimensional integrals without evaluating it.

The integral given is:

\(\int^5_6 \int^0_2\) (ry+5x+2y+10) dx dy

To rewrite this integral as a product of two one-dimensional integrals, we need to first separate the variables. This means we need to rewrite the integral in terms of only one variable at a time.

To do this, we can take the integral with respect to x first, treating y as a constant:

\(\int^5_6 \int^0_2\) (ry+5x+2y+10) dx dy

= \(\int^5_6\)[(r/2)x² + (5/1)x + (2y+10)x] from x=0 to x=2 dy

= \(\int^5_6\) [(r/2)(2²) + (5/1)(2) + (2y+10)(2)] - [(r/2)(0²) + (5/1)(0) + (2y+10)(0)] dy

= \(\int^5_6\)(2r+20) dy

= (2r+20)∫5 to 6 dy

= (2r+20)(6-5)

= 2r+20

Next, we take the integral with respect to y, treating r as a constant:

\(\int^5_6 \int^0_2\) (ry+5x+2y+10) dx dy

= \(\int^0_2 \int^5_6\) (ry+5x+2y+10) dy dx

= \(\int^0_2\) [(1/2)ry² + (2y+10)y + 5x(6-5)] from y=5 to y=6 dx

= \(\int^0_2\) [(1/2)r(6²-5²) + (2(6)+10)(6-5) + 5x(1)] dx

= \(\int^0_2\) [(1/2)r(11) + 22 + 5x] dx

= [(1/2)r(11)x + 22x + (5/2)x²] from x=0 to x=2

= (r+44)

Therefore, the original integral can be rewritten as:

\(\int^5_6 \int^0_2\) (ry+5x+2y+10) dx dy = (2r+20)(r+44)

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For computer company hired interns from a group of 234 applicants.

a) Probability that intern had a computer science major and did not get hired is \( \frac{112}{234} \)

b) Probability that interns had a major other than computer science is \( \frac{38}{234} \)

c) Probability that interns had a computer science and get hired = \( \frac{58}{234} \).

4) probability that an intern with a major other than computer science was not hired is \( \frac{38}{234}\).

Probability is defined as the chance of occurrence of an event. It is calculated by the ratio of favourable outcomes to the total possible outcomes. We have a table data of computer company that hired interns. Total number of applicants = 234

the table shows data of the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired. Number of outcomes for an intern had a computer science major and did not get hired = 112

1) Probability that intern had a computer science major and did not get hired = \( \frac{112}{234} \).

2) Number of interns had a major other than computer science = 38

Probability that interns had a major other than computer science = \( \frac{38}{234} \).

3) Number of interns had a computer science major and hired = 58

Probability that interns had a computer science and get hired = \( \frac{58}{234} \).

4) Number of interns had a major other than computer science was not hired

= 38

Probability that an intern with a major other than computer science was not hired = \( \frac{38}{234} \). Hence, required value is \( \frac{38}{234} \).

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Complete question:

a computer company hired interns from a group of 234 applicants. the table shows the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired. match the probabilites with the description. column a 1. what is the probability that the intern had a computer science major and did not get hired.

2. what is the probability that the intern had a major other than computer science?

3. what is the probability that a computer science major was hired?

4. what is the probability that an intern with a major other than computer science was not hired

column b a.conditional - 36.2% b.conditional - 48.6% c.joint - 43.6% d.joint - 51.2% e.marginal - 68.3% f.marginal - 31.6%.

Answer:

Step-by-step explanation:

I use  84+ CE

stat edit, then fill in the #s

then

vars 5

then

2'nd stat plot, on

then, click stat

Click arrow 1 time to the left to get to Calc

then click (4)(LinReg(ax+b))

then click enter 5 times

(y=-25.31428571x+1000.285714

y=-25.3x+1000.3

now, lets use computer:

y=-25.31(543)+1000.3

y=-12743.03

round to the biggest whole number )

this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing

now I get

y=-25.31428571x+51603.54286

y=-25.3x+51603.5

now, lets use computer:

y=-25.3(543)+51603.5

y=37865.6

round to the biggest whole number:

y=37866

so, year 37866

Using the line of best-fit, it is found that:

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

The line of best-fit is given by:

\(y = bx + a\)

\(b = \frac{\sum (x - \overline{x})(y - \overline{y})}{\sum (x - \overline{x})^2}\)

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

The means are given by:

\(\overline{x} = \frac{0 + 1 + 2 + 3 + 4 + 5}{6} = 2.5\)

\(\overline{y} = \frac{1015 + 960 + 950 + 902 + 929 + 866}{6} = 937\)

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

The sums are:

\(\sum (x - \overline{x}) = (0 - 2.5) + (1 - 2.5) + ... + (5 - 2.5)\)

\(\sum (y - \overline{y}) = (1015 - 937) + ... + (866 - 937)\)

Using a calculator:

\(\sum (x - \overline{x})(y - \overline{y}) = -443\)

\(\sum (x - \overline{x})^2 = 17.5\)

Thus, the slope is:

\(b = -\frac{443}{17.5} = -25.31\)

And

\(y = -25.31x + a\)

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

Using the means to find a:

\(y = -25.31x + a\)

\(937 = -25.31(2.5) + a\)

\(a = 1000\)

Thus, the linear regression model is:

\(y = -25.31x + 1000\)

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

The number of cases would reach 543 in x years after 2008, and x is found when y = 543. Thus:

\(y = -25.31x + 1000\)

\(543 = -25.31x + 1000\)

\(25.31x = 1000 - 543\)

\(x = \frac{1000 - 543}{25.31}\)

\(x = 18.1\)

2008 + 18 = 2026

The estimate is that the number of cases would reach 543 in the year of 2026.

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Standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Therefore, the standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.

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Answer:

Area: 42 cm²

Perimeter: 28.4 cm

Step-by-step explanation:

Simply plug in 4.2 cm for x into x + 5.8 to find the width. You width should be 10.

Area: Multiply 10 by 4.2 and you should get 42

Perimeter: Add up all the sides together (4.2 x 2 + 10 x 2) and you should get 28.4

Answer:

The area of a rectangle is length times width.

First recall the answer gives you x=4.2 for the eqaution x+5.8 and for the length.

Input that into the rectangle´s area formula.

(4.2)(4.2+5.8)

(4.2)(10)

=42 units^2.

Now to find the perimeter you need to add all the sides. We have two lengths and two widths.

4.2+4.2+10+10

= 28.4

Step-by-step explanation:

If you want more explanations then Khan academy is a great source.

Answer:

Shelby. If Ryann's time was 18.3, not 183 seconds, then the second-place winner would be Ryann.

Step-by-step explanation:

Looking at the table, we see that Madison had the lowest time, (18 seconds) and Shelbie and Tammie follow her in that order (Shelbie came second and Tammie third.) Again, if Ryann's time was 18.3 and not 183 seconds, he would have won second place and Shelbie would have gotten third. Hope this helped!

Answer:

Step-by-step explanation:

Answer:

Hope that this helps answer your question

Step-by-step explanation:

thanks for the points♡

Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

Step-by-step explanation:

The sample response :D

Answer:A

Step-by-step explanation:I took the test it was right.

Because the lines are parallel, we conclude that the system has no solutions.

The solutions for a system of equations are given by the intercepts between the graphs of the equations.

In the given graph, we can see that we have two parallel lines.

Remember that parallel lines never do intersect, then the graphs of the equations in our system never do intercept.

Because there is no intercept, there is no solution for the system.

Which means that the correct option is A, the system has no solution.

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The vector U, which represents the displacement from point A to point B, is (-6, 1, 3).

To find the vector U, we subtract the coordinates of point A from the coordinates of point B. In this case, we subtract the x-coordinate of A from the x-coordinate of B, the y-coordinate of A from the y-coordinate of B, and the z-coordinate of A from the z-coordinate of B.

The x-coordinate of B is -1, and the x-coordinate of A is 5. Subtracting these gives us -1 - 5 = -6. Similarly, the y-coordinate of B is 5, and the y-coordinate of A is 4. So, 5 - 4 = 1. Lastly, the z-coordinate of B is 6, and the z-coordinate of A is 3. Thus, 6 - 3 = 3.

Putting it all together, the vector U = (-6, 1, 3). This means that starting from point A and moving in the direction of the vector U will take us to point B. The components of the vector U represent the change in x, y, and z coordinates required to go from A to B.

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Answer:

The answer is E

We need to add 25 red balls to the box so that the probability of drawing a red ball becomes 2/3.

To determine how many red balls must be added to the box so that the probability of drawing a red ball is 2/3, we need to consider the current composition of the box and the desired probability.

Currently, the box contains 5 white balls, 8 black balls, and 1 red ball. The total number of balls in the box is 5 + 8 + 1 = 14.

Let's assume we add 'x' red balls to the box. After adding these red balls, the total number of red balls in the box would be 1 + x. The total number of balls in the box would be 14 + x.

The probability of drawing a red ball can be calculated by dividing the number of favorable outcomes (red balls) by the total number of possible outcomes (total balls).

According to the problem, we want the probability of drawing a red ball to be 2/3. Therefore, we have the equation:

(1 + x) / (14 + x) = 2/3

To solve this equation, we can cross-multiply:

3(1 + x) = 2(14 + x)

Simplifying further:

3 + 3x = 28 + 2x

Subtracting 2x from both sides:

x = 28 - 3

x = 25

Therefore, we need to add 25 red balls to the box so that the probability of drawing a red ball becomes 2/3.

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Answer:

The length of the warehouse is 280 feet.

Step-by-step explanation:

Let A be the area of the warehouse floor, W be its width, and L be its length.

A = W * L

We know that the length is twice the width:

L = 2W

Substitute the second equation into the first equation and we get:

A = 2W * W

Solve for W (A = 39200):

39200 = 2W * W

39200 = 2W²

19600 = W²

W = 140

Plug that number into the second equation to get the length:

L = 2 * 140

L = 280

So the length of the warehouse is 280 feet, the width is 140 feet, and the total area is 39200 ft²

Answer:

0

Step-by-step explanation:

It’s not going up or down it’s a straight line

Answer:

\(m=0\)

Step-by-step explanation:

Slope: \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\)

\(m=\frac{4-4}{5-0}\)

\(m=0\)