7. Solve the system of equations using substitution and elimination. No matrix
calculator
3x - 2y - Z = -12
8x - 3y + 4z = 6
-7x + 5y - 3z = 2

Answer:

x=9

Step-by-step explanation:

Use the triangle Similarity theorem. First, make a proportion.

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21 / 77 is equal to 30 / 11x + 11         then solve.

Step 1: Cross-multiply.

21*(11x+11)=(30)*(77)

231x+231=2310

Step 2: Subtract 231 from both sides.

231x+231−231=2310−231

231x=2079

x=9

HOPE THIS HELPS!

Answer:

For the small boxes on the side, drag the one that you think is correct to the grey spaces. Your supposed to enter the fraction in the simpliest form

Step-by-step explanation:

Answer:

Step-by-step explanation:

The major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

The linear probability model does not take into account the fact that probabilities are bounded between 0 and 1. As a result, the predicted values of y can sometimes fall outside of this range, which is not meaningful or interpretable in terms of probability. To address this issue, alternative models such as logistic regression or probit regression can be used, which are specifically designed to model probabilities and ensure that predicted values fall within the appropriate range. These models use non-linear functions to map the values of the independent variables to probabilities, thereby avoiding the problem of predicted values falling outside the valid range.

Therefore,the major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

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Number of adult tickets sold on Saturday  = 1,952, Number of children's tickets sold on Saturday = 5,034, a total of 9,640 tickets were sold over these two days.

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operators (such as +, -, x, and ÷), but does not contain an equal sign (=) or inequality symbols (<, >, ≤, ≥).

Algebraic expressions are used to represent mathematical relationships and to describe quantities in terms of variables. For example, the expression 3x + 2 represents a quantity that is 3 times a variable x, with an additional constant of 2. The expression 4y - 7 represents a quantity that is 4 times a variable y, with 7 subtracted from it.

Algebraic expressions can be simplified by combining like terms (terms that have the same variable raised to the same power) and using the distributive property of multiplication over addition. For example, the expression 2x + 3x can be simplified to 5x, and the expression 3(x + 2) can be simplified to 3x + 6.

Let's start by filling in the table with the information given:

Day             Adult Tickets       Children's Tickets

Friday           976                         1,678

Saturday        ?                              ?

According to the given information, the number of adult tickets sold on Saturday is 2 times the number sold on Friday. So we can find the number of adult tickets sold on Saturday by multiplying Friday's number by 2:

Number of adult tickets sold on Saturday = 2 x 976 = 1,952

Similarly, the number of children's tickets sold on Saturday is 3 times the number sold on Friday. So we can find the number of children's tickets sold on Saturday by multiplying Friday's number by 3:

Number of children's tickets sold on Saturday = 3 x 1,678 = 5,034

Now we can fill in the completed table:

Day                            Adult Tickets            Children's Tickets

Friday                              976                            1,678

Saturday                         1,952                          5,034

To find the total number of tickets sold over the two days, we can simply add up the number of adult tickets and children's tickets:

Total tickets sold = 976 + 1,952 + 1,678 + 5,034 = 9,640

Therefore, a total of 9,640 tickets were sold over these two days.

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The complete question is

The probability of drawing exactly 2 black balls out of a total of 4 balls drawn is 0.4124, rounded to 4 decimal places. 

we can use the hypergeometric distribution formula.

The probability of drawing exactly 2 black balls out of a total of 4 balls is given by the formula:

(Choose 2 out of 8 black balls) * (Choose 2 out of 10 red balls) / (Choose 4 out of 18 balls)

"Selection" notation describes the number of ways to select a given number of objects from a larger set, regardless of order. It is denoted by the symbol "C" and the formula is:

C(n,k) = n!/(k!*(n-k)!)

where n is the total number of objects and k is the number of selected objects. The exclamation mark represents the factorial function. This is the product of all positive integers up to the specified number. For example 5! = 5 × 4 × 3 × 2 × 1 = 120. Using this formula, we can calculate the probability as follows:

C(8.2) * C(10.2) / C(18.4) = (28 * 45) / 3060 = 0.4124

Therefore, the probability of drawing exactly 2 black balls out of a total of 4 balls drawn is 0.4124, rounded to 4 decimal places. 

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5a) While reflecting across the y-axis, only x-coordinate changes its sign

(3,-2) becomes (-3,-2)

5b) While reflecting across the x-axis, only y-coordinate changes its sign

(3,-2) becomes (3,2)

5c)  The points (3,-2), (5,2) and (6,0) become (-2,3),(2,5) and (0,6) while reflecting across the line y=x

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

5a) While reflecting across the y-axis, only x-coordinate changes its sign

(3,-2) becomes (-3,-2)

5b) While reflecting across the x-axis, only y-coordinate changes its sign

(3,-2) becomes (3,2)

5c) While reflecting across the line y=x, coordinates interchange.

The points (3,-2), (5,2) and (6,0) become (-2,3),(2,5) and (0,6)

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Answer:

THE ANSWER IS AS FOLLOWS

Step-by-step explanation:

The following statements are true based on the given information:

- The largest total number of electronic devices sold was on Wednesday.

- The smallest number of TVs sold was on Monday.

- The same number of phones was sold on each of Monday, Tuesday, and Wednesday. (Note: we cannot tell from the chart whether this number was zero or some other value.)

- On Tuesday, more tablets were sold than any other type of electronic device.

A graph is a way to represent a lot of data in such a visual format.

Hence, The correct statements are A, B, and D.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that is correct about the given table is,

A.) The largest total number of electronic devices sold was on Wednesday.

B.) The smallest number of TVs sold was on Monday.

D.) On Tuesday, more tablets were sold than any other type of electronic device

hence, the correct statements are A, B, and D.

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Answer:

how can someone solve dis?

Step-by-step explanation:

Answer:

D :3a ^ 4 * sqrt(2a)

Step-by-step explanation:

Answer:

  (c)  All of the triangles are similar

Step-by-step explanation:

All of the triangles are similar by the AA similarity postulate.

__

Two angles of one triangle being the same as two angles of another triangle means all angles of the two triangles are the same. (Two angles define the third.) Triangles with congruent corresponding angles are similar.

Euclidean geometry differs from spherical geometry because Euclidean geometry is used to set points by the use of plane.

Euclidean geometry is the study of geometrical shapes (plane and solid) and figures based on different axioms and theorems.

Now since Spherical geometry is the geometry of the two-dimensional surface of a sphere. In this context the word "sphere" refers only to the 2-dimensional surface and other terms like "ball" or "solid sphere" are used for the surface together with its 3-dimensional interior.

Euclidean geometry differs from spherical geometry because Euclidean Geometry are known to make use of a plane to be able to set points and lines, but Spherical Geometry are known to make use of spheres to set up points and great circles.

Thus, Euclidean geometry differs from spherical geometry because Euclidean geometry is used to set points by the use of plane.

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perimeter = sum of all sides

= 4.3 + 7 + 4.3 + 7 + 4.3 + 7 + 2.7

= 36.6 cm

Answer:

36.6 cm

Step-by-step explanation:

Each side, starting with the one all the way to the left and going anticlockwise.

7 + 4.3 + 7 + 4.3 + 7 + (7 - 4.3 = 2.7) + 4.3 = 36.6

Answer:

Yvonne's gasoline cost for this trip would be $78.

Hope I helped! ☺

Answer:

let the angle be x then other angle is 4x

so,

x + 4x = 180

5x = 180

x = 36

so other angle I.e 4x = 4 × 36 = 144

Let one angle be x

Both are linear pair hence their sum will be 180

\(\\ \sf \longmapsto x+4x=180\)

\(\\ \sf \longmapsto 5x=180\)

\(\\ \sf \longmapsto x=\dfrac{180}{5}\)

\(\\ \sf \longmapsto x=30\)

\(\\ \sf \longmapsto 5x=5(30)=150\)

The expression for the area under the graph of the function \(f(x) = 4 + sin^2(x)\), where 0 ≤ x ≤ A, using right endpoints as a limit is given by the sum of the areas of rectangles with width A/n and height \(f(x_i)\), where  \(x_i = i(A/n)\)  for i = 1 to n.

To find the expression for the area under the graph of f(x), we divide the interval [0, A] into n subintervals of equal width A/n. We use right endpoints to determine the height of each rectangle. In this case, the height of each rectangle is given by \(f(x_i)\), where \(x_i = i(A/n)\) for i = 1 to n. The width of each rectangle is A/n. Therefore, the area of each rectangle is \([(A/n) * f(x_i)]\)

To find the total area, we sum up the areas of all the rectangles. This can be expressed as the limit as n approaches infinity of the sum from

i = 1 to n of \([(A/n) * f(x_i)]\). Taking the limit as n goes to infinity ensures that we have an infinite number of rectangles and that the width of each rectangle approaches zero. This limit expression represents the area under the graph of f(x) using right endpoints.

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Answer:

The y intercept is : 65

Step-by-step explanation:

The y intercept is 65 as it is in the form of y=mx+c.

The c is the y intercept, being 65

9514 1404 393

Answer:

  $14

Step-by-step explanation:

Computing 40% can be done a couple of ways.

  40% = 40/100 = 4/10 = 2/5

  40% of 35 = (2/5)(35) = 2(35/5) = 2(7) = 14

__

  40% = 4/10 = 2(2(1/10))

  40% of 36 = 2(2(1/10)(35)) = 2(2(3.5)) = 2(7) = 14

The amount discounted is $14.

Answer:

twenty one because you yuh

Kelvin's weight after 1 week, assuming he maintains a steady weight loss of 3%, would be 123.19 kg

We must multiply Kelvin's current weight (127 kg) by the weight loss percentage (3%), in order to determine his anticipated weight loss after 1 week with a 3% constant weight reduction.

The computation is made using the formula:

Weight loss = Current weight x Weight loss percentage

Inserting the values:

Loss of weight = 127 x 0.03

Loss of weight: 3.81 kg

Kelvin's expected weight loss after 1 week is 3.81 kg. We must take this weight loss out of his current weight in order to calculate his weight one week from now.

Formula:

Weight after 1 week = Current weight - Weight loss

Inserting the values:

Weight after 1 week: 127 - 3.81

Weight after 1 week: 123.19 kg

Therefore, Kelvin's weight after 1 week, assuming he maintains a steady weight loss of 3%, would be 123.19 kg.

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Answer:

198 inches

Step-by-step explanation:

There are 12 inches in each foot

multiply 16 by 12 you get 192

Half of a foot is 6 inches

add 6 inches and you get 198

Answer:

There are 198 inches in 16 1/2 feet

Step-by-step explanation:

16.5 × 12 = 198 inches

Answer:

DEC+DEF=180

DEC=180-116

DEC=64°

in triangle DCE

angle D+angle C+angle E=180

7y+6+4y+64=180

11y+70=180

11y=180-70

11y=110

y=110/11

y=10°

angle C=4y

=4(10)

=40°

a. If the data is weight, the z-score for someone who is overweight would be positive.

b. If the data is IQ test scores, an individual with a negative z-score would have a low IQ.

c. If the data is time spent watching TV, an individual with a z-score of zero would watch the average amount of TV.

d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be negative.

The z-score represents how far a data point is from the mean in terms of standard deviations. If someone is overweight, their weight would be above the mean weight, so their z-score would be positive.

Again, the z-score represents how far a data point is from the mean in terms of standard deviations. If someone has a negative z-score for IQ test scores, it means their score is below the mean score, so their IQ would be low.

A z-score of zero means the data point is exactly at the mean, so someone with a z-score of zero for time spent watching TV would watch the average amount of TV.

Again, the z-score represents how far a data point is from the mean in terms of standard deviations. If someone is making minimum wage, their salary would be below the mean salary, so their z-score would be negative.

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To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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Answer:

1 foot

Step-by-step explanation:

1 meter = 3 feet

3 feet divided by 3 = 1 foot

The length of each section of the rope is 1 foot.

The piece of rope is 1m long.

Carter divided the ropes into three equal parts by tying up the knot.

1 meter = 3 foot.

Therefore, divide 3 by 3.

\(\frac{3}{3} =1\) foot.

Therefore, each section is 1 foot long.

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The length of the triangle is 39 cm and the width of the triangle is 13 cm.

Triangle:

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry. A triangle with angles A, B, and C is represented by Δ ABC.

Now,

Let, width of rectangle = x cm

So, the length of rectangle = 3x

Given that,

perimeter of the rectangle = 78 cm

         2 (length + breadth )  = 78

                                 2(3x+x) = 78

Now,

  2(3x + x) = 78

⇒ 2(4x) = 78

⇒ 4x = ​78/2

⇒ 3x = 39

⇒ x = 39/3

​⇒ x = 13

​Thus, breadth/width of rectangle = 13 cm

So, length of rectangle =3x

                                       =3 × 13

                                       =39 cm

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Answer:B

Step-by-step explanation: Reducing 2x-2+3x results in 5x-2 because 2x+3x is 5x

Answer:

B)

Step-by-step explanation:

The answer is option B)

2x - 2 + 3x = 5x - 2

Answer:

the other factor is (x+7)

Step-by-step explanation:

Given x^2+11x+28

factor into

x^2+7x + 4x + 28

=x(x+7) + 4(x+7)

= (x+4)(x+7)

Answer: the other factor is (x+7)

Answer:

two imaginary numbers

Step-by-step explanation:

Answer:

0.025g/ml

Step-by-step explanation:

Given data

Density of water =1.0 g/mL

Density of oil =1.025 g/mL.

The difference in the density is

1.025 g/mL-1.0 g/mL

=0.025g/ml

This is because oil is more dense than water

Answer:

81.9

Step-by-step explanation:

simple math  pls mark brainlist

Step-by-step explanation:

b(n) = b(1) + (n-1) d, where d is the difference,

d = 13-(-5) = 18

b(n) = (-5) + (n-1)(18)

= -5 +18n -18

b(n) = 18n -23