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A student must answer at least 35 of the 40 homework assignments correctly to get an A.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the fewest number of problems a student could answer correctly and still get an A, we need to set up an inequality that represents the condition for getting an A.

If Mr. Discrete determines the score by doubling the number of correct problems out of 50 and then adding the bonus, then the score for each student can be represented by the equation:

2x + 4% × 50 = 100, where x is the number of correct problems.

If the student needs to get an A, then the score must be at least 90. Therefore, we can set up the inequality:

2x + 4% × 50 ≥ 90

Substituting 4% for 0.04, we get:

2x + 0.0450 ≥ 90

Solving for x, we find:

x ≥ 35

Therefore, to receive an A, a student must complete at least 35 out of the 40 homework assignments.

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The  temperature in parts of Minnesota fell at an average rate of 1.17°F per hour during this 24-hour period.

To find the average temperature change per hour, we need to divide the total change in temperature by the time period over which the change occurred.

The change in temperature is:

41°F - 13°F = 28°F

The time period over which the change occurred is 24 hours.

Therefore, the average temperature change per hour is:

28°F / 24 hours = 1.17°F/hour (rounded to two decimal places)

So the temperature in parts of Minnesota fell at an average rate of 1.17°F per hour during this 24-hour period.

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The height of the pole mounted on top of the cliff is 7.6 meters,

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the cliff, hence:

tan(58) = h/14

h = 22.4 meter

Let h' be the height of the cliff and pole, hence:

tan(65) = h'/14

h' = 30 meter

height of pole = 30 - 22.4 = 7.6 meter

The height of the pole mounted on top of the cliff is 7.6 meters,

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The measure of the final unknown interior angle in the polygon is 172°.

Given the other interior angles of the polygon to be:

162°, 110°, 115°, 138°, 105° and 98°

If we are to find the final interior angle, it means the polygons have 7 interior angles.

Hence, it is a heptagon.

Sum of the interior angle of a heptagon equals 900 degrees.

Let, the final interior angle be x:

Hene:

162° + 110° + 115° + 138° + 105° + 98° + x = 900°

Solve for x:

728 + x = 900

728 - 728 + x = 900 - 728

x = 900 - 728

x = 172°

Therefore, the missing interior angle is 172°.

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It should be noted that while Euclidean geometry wants to understand the geometry of flat, two-dimensional spaces, the non-Euclidean geometry studies curved, rather than flat, surfaces.

Euclidean geometry, often known as Euclid's geometry, is the study of geometry based on concepts like points, lines, and planes of flat spaces that are not yet defined. It is, in other words, the study of geometrical shapes, including solid and plane shapes, and how these shapes relate to one another in terms of lines, points, and surfaces.

Any geometry that is not the same as Euclidean geometry is considered non-Euclidean geometry. It should be noted that although Euclidean geometry is useful in many fields, in some cases, non-Euclidean geometry is vital as well.

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What is the main difference between Euclidean geometry and non Euclidean geometry?

Answer:

a) 3p

c) 2

3) \(ab^{2}\)

Sorry if these answers are short, I just wanted to finish this problem then rest

Answer:

The answer is 8

Step-by-step explanation:

By using the theory of Euclid

\( {x}^{2} = 4 \times 16 = 64 \\ x = 8\)

From division operation,

a) The right equation for this situation is equals to 10 ÷ 365 = 2/73 pages. So, option (i) is right one.

b)For the fraction 15/10 is written as 15 ÷ 10. So, option(i) is right.

c) Both laundromats charge same amount per minutes. So, option(i) is right .

d) For the fraction 12/13 is written as 12 ÷ 13 . So, option (ii) is right one.

Division is an arithmetic operation. Except this other includes addition, subtraction, and multiplication. It shows the sharing of an amount into equal parts. For example, if “16 divided by 4” means “16 divided into 4 equal parts”, which is equals to 4. The division symbol is '÷', that is 4 ÷ 2 implies 2.

a) So, using all this, 10 ÷ 365 = 2/73 pages is right equation and answer for Jodi'reading problem.

b) The fraction, a: b or a/b represents a divided by b. So, for fraction 15/10 means 15 divided by 10 and written as 15 ÷10.

c) Now, At Happy Harry’s Laundromat, the cost of dryer = $1. 50 for 10 minutes

At Jolly Judy’s Laundromat, the cost of dryer = $2. 25 for 15 minutes. The best Laundromat that has less cost of dryer per minute. So, we check the cost of dryer. In case of Harry’s Laundromat, the cost of dryer for 1 minute = 1.50/10 = $0.15

Similarly, In case of Judy’s Laundromat, the cost of dryer for 1 minute = 2.25/15

= $0.15 per minute

Thus, they charge the same amount.

d) The fraction 12/13 can be written in division form. We can write it as "12 divided by 13" so 12 ÷ 13. Hence, the required value is 12 ÷ 13.

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Complete question:

WILL MARK BRAINLIEST!!

a) To read her book report book, Jodi needs to read 365 pages in 10 days. Choose the correct equation and answer for this situation.

i) 10 ÷ 365 = 2/73 pages

ii) 365 ÷ 10 = 2/73 pages

iii) 365 ÷ 10 = 365/10 = 36 5/10 = 36 1/2 pages

iv) 10 ÷ 365 = 365/10 = 3 5/10 = 3 1/2 pages

b) Choose the correct problem for the fraction 15/10.

i) 15 ÷ 10

ii) 10 ÷ 15

iii) 10 ÷ 10

iv) 15 x 10

c) At Happy Harry’s Laundromat, the dryer costs $1. 50 for 10 minutes. At Jolly Judy’s Laundromat the dryer costs $2. 25 for 15 minutes. Which laundromat offer the better deal?

i) They charge the same amount.

ii) Jolly Judy’s Laundromat

iii) Happy Harry’s Laundromat

d) Choose the correct problem for the fraction 12/13

i) 12 ÷ 10

ii) 12 ÷ 13

iii) 13 ÷ 12

iv) 12 x 13

Answer: A

Step-by-step explanation:

Square root of 35 is 5.9161

Answer:

Step-by-step explanation:

\(1\frac{1}{3} - 2\frac{1}{5} +\frac{7}{10}\)

\(=-\frac{13}{15} +\frac{7}{10}\)

\(=-\frac{1}{6}\)

The applicants that would have to apply in order to meet the target is 52. Option 4 is correct.

We have to define x as the applications to meet target

The number of persons to hire is 30

10 percent do not meet requirements. Hence 90 meets the requirements. 90% of x

= 0.9X

12% fail the pre screening stage. Hence 88% have passed it. This would be 88% of 0.9x. = 0.792x

23% Did not come for the interview, hence 77% showed up. This would be 0.77*0.792x = 0.60984x

then 5% are said to have failed the background test. This means that 95% passed the test.

0.95 * 0.60984x = 0.579348X

We have to equate this to 30 in order to get the value of x

0.579348X = 30

divide through by 0.579348

X = 30 / 0.579348

X = 51.78

X ~ 52

The number of applicants is 52

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Answer:

distance = 7.4 ft

Step-by-step explanation:

There are different ways to approach this problem, but one possible method is to use trigonometry. Since we know the angle and one side of the triangle formed by the boat, the person, and the closest point to the boat, we can use the sine, cosine, or tangent function to find the other sides. For example, we can use the tangent function:

tan(34°) = opposite / adjacent

opposite = adjacent * tan(34°)

We know that the opposite side is the distance from the person to the boat, and the adjacent side is the distance from the person to the closest point to the boat, which is 12 ft. Therefore, we can substitute these values into the equation:

distance = 12 ft * tan(34°)

To find the distance, we need to know the value of the tangent of 34°. We can use a calculator or a trigonometry table to get this value, which is approximately 0.6167. Then we can substitute this value into the equation and solve for distance:

distance = 12 ft * 0.6167

distance = 7.4004 ft

Rounding to the nearest tenth of a foot, the person is about 7.4 ft away from the boat.

Another way to solve this problem is by using the law of sines.

distance = (12*sin(34))/(sin(126))

distance = 7.4 ft

5 dollars equals 500 pennies, once 5 dollars times 100 equals 500. What's 5 dollars in cents? 5 dollars equals 500 cents, once 5 dollars times 100 equals 500.

for this case we have the folloeing information: In a class we have 17 flute players and 15 Clarinet Players for the Amy's Music Class.

The total of students are:

And then if we need to select one player (student) the probability would be given by:

And the best answer would be A) 1/32

The main answer to this question is that there could be several reasons why an experiment may not produce significant results even if the research hypothesis is true.

One possible explanation could be that the sample size used in the experiment was too small, which could have resulted in insufficient statistical power to detect the true effect of the independent variable on the dependent variable. Another explanation could be that there were extraneous variables that were not controlled for in the experiment, which could have influenced the results and made it difficult to detect the true effect of the independent variable.

it is important to consider all possible factors that may affect the results of an experiment and to take steps to minimize their impact. This includes ensuring that the sample size is appropriate, controlling for extraneous variables, and using appropriate statistical tests to analyze the data. By doing so, researchers can increase the likelihood of obtaining significant results that accurately reflect the effects of the independent variable on the dependent variable.

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The breadth of the rectangle is 7cm or 70 mm.

It is given in the question that:-

Area of the rectangle = 98 square cm

Length of the rectangle = 140 mm

We have to find the breadth of the rectangle.

We know that,

1 cm = 10 mm

Hence,

140 mm = 14 cm

Also,

Area of a rectangle = (Length of the rectangle)* (Breadth of the rectangle)

Hence, we can write

98 = 14*(Breadth of the rectangle)

Breadth of the rectangle = 98/14 = 7 cm

Hence, the breadth of the rectangle is 7 cm or 70 mm.

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Answer:

x₁(2x₁x₂² - x₂ - 3) - 3x₂

Step-by-step explanation:

The expression you provided is a polynomial in two variables, x₁ and x₂. Let's simplify it step by step:

2x₁²x₂² - x₁x₂ - 3x₁ - 3x₂

To simplify, we can look for common terms that can be factored out:

x₁(2x₁x₂² - x₂ - 3) - 3x₂

Now let's simplify the expression inside the parentheses:

2x₁x₂² - x₂ - 3

Answer:

\( - 4(x + 9) \\ - 4 \div - 4 = 1 \\ - 36 + - 4 = 9\)

Given,

The first term of the series is 21.

The last term of the series is 39.

The sum of the series is 210.

Required

The number of terms in the series.

The sum of the series is calculated as,

Substituting the values then,

Hence, the number of terms in the series is 7.

Answer:

$10

Step-by-step explanation:

Answer:

10 in the answer

Step-by-step explanation:

10 is the answer

Question 1:

What is the value of x when y = 4?

x=0.8

Question 2:

What is the value of y when x = 3?

y = 13.5

Question 3:

Which equation represents a proportional relationship?

y=12x

Question 4:

What is the corresponding equation?

y=1.5x

Question 5:

What is the corresponding equation?

y=1/2x

The answers to each part is mentioned below.

Given are the questions as mentioned.

        {K} = y/x = constant

{ 1 } -

        {x} = (4 x 3)/15 = 4/5

        {x} = 4/5

{ 2 } -

        {y} = (9 x 3)/2 = 27/2 = 13.5

        {y} = 13.5

{ 3 } -

An equation representing a proportional relationship is of the form -

y = mx + c

So all the equations given represent proportional relationship.

Therefore, the answers to each part is mentioned above.

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False. Scaling, in the context of graphics, refers to the process of resizing an image or graphic while maintaining its aspect ratio. It involves changing both the vertical and horizontal size of the graphic by the same percentage.

When scaling a graphic, the goal is to resize it proportionally, preserving the original aspect ratio. This means that both the vertical and horizontal dimensions are changed by the same factor or percentage. For example, if an image is scaled by 50%, both its height and width will be reduced by 50% of their original values. This ensures that the graphic maintains its original proportions and does not appear distorted.

Scaling graphics is commonly used in various applications, such as graphic design, image editing, and web development, to resize images without distorting their appearance. It allows for consistent resizing across different devices or platforms while maintaining the integrity of the original graphic.

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Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

Answer:

11\(x\)+6

Step-by-step explanation:

2\(x^{2}\)= 4\(x\) because 2 *2 = 4 + x = 4\(x\)

since 7\(x\) is a like term we add it to 4\(x\) and it becomes : 11\(x\)

Since 6 does not have a variable we do not add anything to it so, it stays the same and the simplified expression becomes : 11\(x\) + 6

Answer:

The answer is C.

Step-by-step explanation:

For the reaction,

\(CO(g) + H_2 O(g) = CO_2(g) + H_2(g)\)

Initial concentration:

0.1M , 0.1M , 0 , 0

Let 'x' mole per litre of each of theproduct be formed.

At equilibrium:

(0.1 – x)M , (0.1 – x)M , xM , xM

where x is the amount of Carbon dioxide and Hydrogen, at equilibrium.

Hence, equilibrium constant can be written as,

\(K_c = \frac{x²}{(0.1 – x)²} = 4.24\)

→ x² = 4.24 (0.01 + x² – 0.2x)

→ x² = 0.0424 + 4.24 x² - 0.848x

→ 3.24x² - 0.848x + 0.0424 = 0

a = 3.24, b = -0.848, c = 0.0424

(for quadratic equation ax² + bx+c=0)

\(x = \frac{( - b \: ± \: \sqrt{ {b}^{2} - 4ac) } }{2a} \)

\( = > x = \frac{ - ( - 0.848 \: ± \: \sqrt{( - 0.848)^{2} - 4(3.24)(0.0424) } }{2 \times 3.24} \)

\( = > x = \frac{ - 0.848±0.4118}{6.48} \)

\(x_1 = \frac{0.848 - 0.4118}{6.48} = 0.067\)

\(x_2 = \frac{0.848 + 0.4118}{6.48} = 0.194\)

Here, the value 0.194 should be neglected because it will give concentration of the reactant which is more than initial concentration.

∴ The equilibrium concentrations are :-

\([CO_2] [H_2] = x = 0.067M\)

\([CO] [H_2 O] = 0.1 - 0.067 = 0.033M\)

The equilibrium concentrations of each of the species can be obtained by the use of the ICE table.

Kc refers to the value of the equilibrium constant obtained using the concentrations of the reactants.

Now we have to set up the ICE table as shown below;

             CO + H2O ⇄  CO2 + H2

I             0.1      0.1           0        0

C          - x        - x           +x       +x

E            0.1 - x   0.1 - x     x       x

Kc = [CO2] [H2]/[CO] [H2O]

4.24 = x^2/(0.1 - x)^2

4.24(0.1 - x)^2 = x^2

0.042 - 0.848x + 4.24x^2 = x^2

x^2 -  4.24x^2  + 0.848x - 0.042 = 0

-3.24x^2  + 0.848x - 0.042 = 0

since x can not be greater then the initial concentration, x=0.066M

Final concentration of each specie;

CO = 0.1 M - 0.066M = 0.034 M

H2O = 0.1 M - 0.066M = 0.034 M

CO2 = 0.066M

H2 = 0.066M

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Answer:

comparing the means of three or more groups

Step-by-step explanation:

The value of P((A ∩ B) ∪ (C ∪ D ∩ E))' is approximately 0.1571. the probability that component A is not working given that the system works is approximately 0.001.

To calculate the values in Part 1 and Part 2, we'll use basic probability rules and formulas.

Given: P(A) = P(B) = 0.77, P(C) = P(D) = P(E) = 0.85

Part 1: We want to find the probability of the complement of the event (A ∩ B) ∪ (C ∪ D ∩ E), denoted as P((A ∩ B) ∪ (C ∪ D ∩ E))'.

Using De Morgan's law, the complement of a union is the intersection of complements:

P((A ∩ B) ∪ (C ∪ D ∩ E))' = P((A ∩ B)') ∩ (C ∪ D ∩ E)'

The complement of an intersection is the union of complements:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (P(A') ∪ P(B')) ∩ (P(C') ∩ P(D') ∩ P(E'))

Substituting the given probabilities:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (1 - P(A)) ∪ (1 - P(B)) ∩ (1 - P(C)) ∩ (1 - P(D)) ∩ (1 - P(E))

Calculating the values:

P(A') = 1 - P(A) = 1 - 0.77 = 0.23

P(B') = 1 - P(B) = 1 - 0.77 = 0.23

P(C') = 1 - P(C) = 1 - 0.85 = 0.15

P(D') = 1 - P(D) = 1 - 0.85 = 0.15

P(E') = 1 - P(E) = 1 - 0.85 = 0.15

Now, we calculate the final probability:

P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (0.23 ∪ 0.23) ∩ (0.15 ∩ 0.15 ∩ 0.15)

                          = 0.23 ∩ 0.15 = 0.1571 (rounded to 4 decimal places)

Therefore, the value of P((A ∩ B) ∪ (C ∪ D ∩ E))' is approximately 0.1571.

Part 2: We want to find the probability that component A is not working given that the system works, denoted as P(A' | System Works).

Using the conditional probability formula:

P(A' | System Works) = P(A' ∩ System Works) / P(System Works)

To calculate the numerator:

P(A' ∩ System Works) = P(A' ∩ B' ∩ C' ∩ D' ∩ E')

                    = P(A') ∩ P(B') ∩ P(C') ∩ P(D') ∩ P(E')

                    = 0.23 ∩ 0.23 ∩ 0.15 ∩ 0.15 ∩ 0.15  = 0.0002634 (rounded to 7 decimal places)

To calculate the denominator:

P(System Works) = 1 - P(A' ∪ B' ∪ C' ∪ D' ∪ E')

= 1 - (P(A') ∪ P(B') ∪ P(C') ∪ P(D') ∪ P(E')) = 1 - (0.23 ∪ 0.23 ∪ 0.15 ∪ 0.15 ∪ 0.15) = 1 - 0.66 = 0.34

Now, we calculate the final probability:

P(A' | System Works) = P(A' ∩ System Works) / P(System Works)

= 0.0002634 / 0.34 = 0.0007735 (rounded to 7 decimal places)

Therefore, the probability that component A is not working given that the system works is approximately 0.001.

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The complete question is:<The reliability (probability of working) of each component is specified as follows and the components work or fail independently. P(A) = P(B) = 0.77 P(C) = P(D) = P(E) = 0.85 A B с DHE Part 1 What is the value of P((ANB) U(CODn E))' (Enter your answer with 3 decimal digits.) 0.1571 100% Part 2 What is the probability that the component A is not working given that the system works? (Enter your answer with 3 decimal digits.) Hint: Think of a conditional probability definition.>

The actual lower and upper bounds of an interval in a grouped frequency distribution are called the class limits.

In a grouped frequency distribution, data is grouped into intervals or classes to simplify the presentation and analysis of data. Each interval has an upper limit and a lower limit that define its boundaries. The lower limit represents the smallest value within the interval, while the upper limit represents the largest value within the interval.

The class limits are important in determining the range and boundaries of each interval. They help organize the data into meaningful groups and allow for the calculation of various statistical measures such as frequencies, percentages, and cumulative frequencies within each interval. The class limits play a vital role in constructing histograms, frequency polygons, and other graphical representations of the grouped data.

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