Redute question and type your response in the box provided. Your response will be saved automatically
Anna has solved the equation 32 – 7x = 2x – 3(4x – 5)
Anna's Solution
32 - 7x=2x-3(4x-5)
32 - 7x=2x-12x+15
32-7x= -10x+15
32 - 7x-7x=- Ox+15 - 7x
32 = -17x+15
32-15 =-17x+15-15
17 = -17%
17 -17x
-17 -17
-1= x
Anna's work contains an error. Identify and explain the error so that Anna knows what she has done incorrectly. Then solve the equation correctly
B I J = 5
x, x' Ο Σ
©2021 Illuminate Education, Inc.

Answer:

x=2.24

Step-by-step explanation:

To do this problem, you must find the scale factor. Using two corresponding sides you can find it.

Using 2.4 and 3:

2.4 / 3 = 0.8

Scale factor: 0.8

Now find x:

2.8 × 0.8 = 2.24

x = 2.24

Hope this helped.

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

Read more about algebraic equations here:

https://brainly.com/question/2164351

#SPJ1

The sample's data values ought to be unrelated to one another. The sample data need to be consistent. Data from the quantitative ordered pair sample should be gathered at random or in a way that is representative of the overall population. The sample's data values ought to be unrelated to one another.

A confidence interval is a much better tool to use if we wish to communicate the level of uncertainty surrounding our point estimate (CI). A confidence interval (CI) is a symmetrical range of values where the results of repeated, related experiments are likely to fall. The middle of this range corresponds to our point estimate.

Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications.

Learn more about to  confidence interval visit here:

https://brainly.com/question/24131141

#SPJ4

Answer:

The difference in the effectiveness of the new treatment versus the standard treatment may be due to chance, and further studies may be needed to determine the effectiveness of the new treatment.

Step-by-step explanation:

To determine if the difference in the number of patients reporting reduced pain is statistically significant, we can use a hypothesis test.

The null hypothesis is that there is no difference between the two treatments in terms of the proportion of patients who report reduced pain after half an hour. The alternative hypothesis is that there is a difference between the two treatments.

We can use a two-sample proportion test to compare the proportions of patients reporting reduced pain in the two groups.

The test statistic is calculated as:

z = (p1 - p2) / sqrt(\(\sqrt{(p_hat * (1 - p_hat) / n1) + (p_hat * (1 - p_hat) / n2)}\))

where p1 and p2 are the proportions of patients in the two groups reporting reduced pain, p_ hat is the pooled proportion (calculated as the total number of patients reporting reduced pain divided by the total number of patients), and n1 and n2 are the sample sizes.

In this case, we have:

p1 = 50/65 = 0.769

p2 = 40/60 = 0.667

p_ hat = (50 + 40) / (65 + 60) = 0.672

n1 = 65

n2 = 60

Substituting these values into the formula, we get:

z = (0.769 - 0.667) / sqrt((0.672 * (1 - 0.672) / 65) + (0.672 * (1 - 0.672) / 60))

= 1.412

Using a standard normal distribution table or calculator, we can find the probability of obtaining a z-value of 1.412 or greater, assuming the null hypothesis is true. This is the p-value of the test.

The p-value turns out to be approximately 0.078, which is greater than the commonly used significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis and we cannot conclude that the difference in the number of patients reporting reduced pain is statistically significant.

Therefore, the difference in the effectiveness of the new treatment versus the standard treatment may be due to chance, and further studies may be needed to determine the effectiveness of the new treatment.

To know more about effectiveness refer here

https://brainly.com/question/30664353#

#SPJ11

A line that passes through point (3,-5) and is perpendicular to y = -x+5 has the equation y = x - 8.

A straight line has an equation of y=mx + c, where m is the gradient and c is the constant, also known as the y-intercept, at which the line crosses the y-axis.

In order to put the equation in y-intercept (y = mx + b) form and determine the equation of a graphed line, first determine the slope and y-intercept.

It is given that a line's equation passes through point (3,-5) and is perpendicular to y = -x+5.

Slope of given line = -1

Slope of line perpendicular to the given line = Negative of the reciprocal of the slope of a given line = 1

We have the slope and point (3,-5) of the required line. So, we can find the constant of this equation.

y = mx + c

-5 = 1(3) + c

c = -5 - 3

c = -8

Substituting c = -8 and m = 1 to get the equation of required line.

y = mx + c

y = x - 8

As a result, the equation of a line passing through point (3,-5) and perpendicular to y = -x+5 is y = x - 8.

Learn more about y-intercept form here:

https://brainly.com/question/10700419

#SPJ13

Answer:

y = 3x +b

Step-by-step explanation:

where is your b you need to have a b to have your answer

Answer:

18

Step-by-step explanation:

9+(-15)+4+20

9-15+4+20

18 ans

The probability that a student selected at random who received a certificate of excellence scored at least 2000 is approximately 0.05 (rounded to two decimal places).

To solve this problem, we can use the standard normal distribution with mean 0 and standard deviation 1, and then convert the given values to this standard normal distribution. We can then find the probability of a score of at least 2000 using the standard normal distribution table or a calculator.

First, we need to standardize the minimum score for the certificate of excellence:

z = (x - μ) / σ

where x is the minimum score for the certificate of excellence, μ is the mean score, and σ is the standard deviation.

z = (1700 - 1500) / 300 = 0.67

Next, we can find the probability of a score of at least 2000 in the standard normal distribution:

P (z >= (2000 - 1500) / 300) = P (z >= 1.67)

Using a standard normal distribution table or a calculator, we can find that the probability of a score of at least 1.67 is 0.0475.

To know more about Standard Deviation:

https://brainly.com/question/23907081

#SPJ4

The odds of hitting an asteroid in the asteroid belt are quite low.

To explain this further, let's consider the following steps:

In summary, the odds of hitting an asteroid in the asteroid belt are quite low due to the vast distances between individual asteroids and the ability to carefully plan spacecraft trajectories.

Learn more about asteroid: https://brainly.com/question/29609638

#SPJ11

When calculating a nation’s digital power, the term that is used to refer to the demonstrated capabilities of a nation-state in cyber offense or defense is Cyberwarfare.

Cyberwarfare  can be regarded as the use of cyber attacks against a nation-state so as to produce significant harm.

It should be noted that Cyber Warfare is set of actions  which is been carried out by  nation or organization so as to be able to launch an attack on institutions' computer network systems.

The interests or reasons for cyberwarfares based on the Cybersecurity as well as Infrastructure Security Agency are;

In order to achieve the goals behind the cyberwarfare programs, it is usually designed to focus on spectrum of objectives which will bring harm to national interests.

Learn more about Cyberwarfare at:

https://brainly.com/question/13109173

#SPJ1

According to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.

To answer the question, we need to know what Black Holes are.

Blackholes are regions of space in which no matter can escape

So, when black holes are formed, some stars are destroyed and collapse due to intense gravitational forces.

So, according to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.

Learn more about black holes here:

https://brainly.com/question/6037502

#SPJ1

Based on the given statement, the correct answer would be:

option A. The statement makes sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must be depressed.

The given statement is discussing a potential relationship between Sally's emotional state of being depressed and her behavior of listening to music. The question asks whether the statement makes sense, is clearly true, or does not make sense, and provides four options to choose from.

Option A states that the statement makes sense and suggests that if Sally is listening to music, then she must be depressed. This option is reasonable because the statement establishes a connection between Sally's depression and her behavior of listening to music. It implies that listening to music is a coping mechanism or an activity she engages in when she experiences depressive feelings.

Therefore, if someone observes Sally listening to music, it can be inferred that she might be in a depressed state at that moment.

On the other hand, options B and C can be eliminated because they make extreme and unsupported claims. Option B suggests that Sally only listens to music when she is depressed, which is not explicitly stated in the given statement. Option C states that if Sally is listening to music, then she must not be depressed, which contradicts the initial connection established between depression and listening to music in the statement.

Option D highlights the incomplete nature of the statement but does not render it entirely senseless. It acknowledges that the statement mentions Sally's behavior of listening to music when she is depressed but does not provide information about other potential reasons she might listen to music.

In summary, option A is the most appropriate choice as it aligns with the established correlation between Sally's depression and her listening to music, while considering the possibility of other reasons for her music listening behavior.

To know more about  logical reasoning refer here:

https://brainly.com/question/32269377?#

#SPJ11

SOLUTION

Step 1 :

In this question, we were told that A cosmetics company tested a new lotion.

Of the 2,500 people tested, 15 had an allergic reaction.

What percent of the people tested did not have an allergic reaction to the new lotion?

Step 2 :

The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.

To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:

S(n) = 70000(1.2)

S(n) = 84000

The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)

S(1) = 84000

The percent increase of her salary is: S(n) = 70000(1.2)n

S(n) - S(n-1) / S(n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = 20%

Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.

To know more about salary visit:

https://brainly.com/question/14371457

#SPJ11

The total distance covered by Mary while walking around the track is 2 1/2 miles.

On a track, Mary and Jerry are working out.

Mary is moving along at a 3 mph pace.

After Mary has been walking for fifteen minutes, Jerry begins to jog at a speed of four miles per hour.

Mary continues to walk as Jerry jogs for two kilometers before they both stop at the same time.

Enter Mary's total walking mileage around the track in miles.

Find the distance M had walked when J starts jogging.

15 min = 0.25 hrs

3 × .25 = .75 miles

Find how long it took J to jog 2 miles at 4 mph

2/4 = .5 hrs

Find how far M can walk in .5 hrs at 3 mph

.5 × 3 = 1.5 miles

Enter the total distance, in miles, that Mary walks around the track

.75 + 1.5 = 2.25 mi or 2 1/4 miles.

Hence distance covered in miles is 2.25 miles.

Learn more about Speed distance and time here:

brainly.com/question/7243416

#SPJ1

Answer:

π(70)(√(70^2 + 50^2)) = π(700√74) m^3

= 18,918 m^3

The equation of line passing through the points (1,1), (2,2), (3,3), and (4,4) is y=x.

The points (1, 1), (2, 2), (3, 3), and (4, 4) all lie on the same line, which means that we can find the equation of the line using any two of these points.

Let's use the first and last points, (1, 1) and (4, 4), respectively. We can find the slope of the line using the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (1, 1) and (x2, y2) = (4, 4)

slope = (4 - 1) / (4 - 1) = 1

Now that we know the slope of the line, we can use the point-slope form of the equation of a line to find the equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is one of the points on the line. Let's use the point (1, 1):

y - 1 = 1(x - 1)

y - 1 = x - 1

y = x

So the equation of the line passing through the points is y = x.

To know more about equation of line:

https://brainly.com/question/20187627

#SPJ4

Answer:

25

Step-by-step explanation:

Answer:

0.7333

Step-by-step explanation:

2021 Math

Proportion of such tomatoes have a diameter between 20 and 26 mm is 0.7333.

It's a way to measure how far each data point is spread from the average value.

let x represents the diameters of cherry tomatoes produced by large farm which is formally distributed with mean = 22m

and, standard deviation= 2.5 mm

Now, proportion of tomatoes have diameter between 20 and 26 mm

=P (20 < x< 26)

=P(20-22 / 2.5 < \(x- \mu/ \sigma\) < 26- 22/2.5)

=P(-0.8 < z < 1.6)

=P(z = 1.6) - P(z=-0.8)

=0.9452 - 0.2119

==0.7333

Hence, proportion of such tomatoes have a diameter between 20 and 26 mm is 0.7333.

Learn more about standard deviation here:

https://brainly.com/question/13905583

#SPJ2

Answer:

\(2x + 6y = 36\)

\(x + 3y = 18\)

Answer:

Are of a Circle = pie x radius squared

Step-by-step explanation:

A = 3.14*2squared

A = 3.14*4

A = 12.56

To find the limit of the given function, we need to approach the point (0, 0) along different paths and check if the limit exists and if it is the same along all the paths. Let's consider the limit along the x-axis first, i.e., when y = 0. In this case, the function reduces to lim (x, 0)→(0, 0) 0 = 0.

Now, let's consider the limit along the y-axis, i.e., when x = 0. In this case, the function reduces to lim (0, y)→(0, 0) 0 = 0. So far, it seems like the limit exists and is equal to 0. However, let's now consider the limit along the curve y = x. In this case, the function reduces to lim (x, x)→(0, 0) x^3 cos(x) / (6x^4) = cos(0)/6 = 1/6. Since the limit is different along this path, we can conclude that the limit does not exist. Therefore, the answer is "dne."

To know more about Limit visit:

https://brainly.com/question/29795597

#SPJ11

Answer:

  128π/3 cubic units

Step-by-step explanation:

You want the volume of a cylinder inscribed in a triangular prism that has all edges 8 units long.

The base of the prism is an equilateral triangle with side length 8. Such a triangle has an altitude of ...

  8(√3/2) = 4√3

The centroid of the triangle is also the center of the incircle. That is located 1/3 of the length of the altitude from each side. That distance is the radius of the inscribed cylinder.

  r = (4√3)/3 = 4/√3

Then the area of the base of the cylinder is ...

  A = πr² = π(4/√3)² = 16π/3

The height of the cylinder is 8 units, so the volume is ...

  V = Bh

  V = (16π/3)(8) = 128π/3

The volume of the inscribed cylinder is 128π/3 cubic units.

<95141404393>

The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

For more such questions on parallelogram visit:

https://brainly.com/question/970600

#SPJ8

Answer:

Step-by-step explanation:

Since Hertz charges $42 per day and an additional $32 in service charges.

Another rental company Enterprise charges $46 per day and additional of $24 in service charges.

A). Let the duration of car rental = x days

    Hertz will charge = 42x + 32

    Enterprise will charge = 46x + 24

B). For x = 6 days

    Amount charged by Hertz = 42(6) + 32

                                                 = $284

    Amount charged by Enterprise = 46(6) + 24

                                                         = $300

    Therefore, Enterprise will charge more.

C). For x = 4 days

    Amount charged by Hertz = 42(4) + 32

                                                 = $200

    Amount charged by Enterprise = 46(4) + 24

                                                         = $208

    Savings from renting a car from Hertz = $208 - $200

                                                                    = $8

The angle between two vectors a = 5i + j and b = 2i - 4j is approximately 52.125°.

The angle between two vectors can be calculated using the following formula: cosθ = (a · b) / (||a|| ||b||)

where θ is the angle between the vectors, a · b is the dot product of the vectors, and ||a|| and ||b|| are the magnitudes of the vectors.

In this case, the dot product of the vectors is 13, the magnitudes of the vectors are √29 and √20, and θ is the angle between the vectors. So, we can calculate the angle as follows:

cos θ = (13) / (√29 * √20) = 0.943

The inverse cosine of 0.943 is approximately 52.125°. Therefore, the angle between the two vectors is approximately 52.125°.

Visit here to learn more about vectors:    

brainly.com/question/15519257

#SPJ11

There are seven lines of symmetry in a heptagon. In a heptagon, the sides and angles are equal. Each vertex and the center of a regular heptagon are where the line of symmetry crosses.

What is Reflectional Symmetry ?

Any symmetry with regard to a reflection is referred to as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry. In other words, a figure with reflectional symmetry does not alter when it is reflected. There is a line/axis of symmetry in 2D and a plane of symmetry in 3D. When a form or pattern is mirrored in a line of symmetry or a mirror line, this is known as reflective symmetry. The reflected form will have the same size, distance from the mirror line, and other characteristics as the original shape. When a figure can be split into two equal halves that match, it has line symmetry or reflection symmetry.

If a figure can be reflected over a line and retain its original appearance, it possesses reflection symmetry. If a figure can be altered while maintaining its appearance, it possesses symmetry.

To learn more about Reflective symmetry refer to :

brainly.com/question/30357862

#SPJ4

Complete question

Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of reflectional symmetry. A line of symmetry will connect 2 vertices. A line of symmetry will connect a vertex and a midpoint of an opposite side. It has 7-fold symmetry. A line of symmetry will connect the midpoints of 2 opposite sides.