In the figure below, m1=8x° and m2 = (x-9)°.
Find the angle measures.
1
1 2

The expected frequency of South campus and passed will be 36.5. Calculating the total number of students who took the aptitude exam is the first step in determining the expected frequency of South campus and passing.

Total number of students = 42 + 31 + 58 + 69 = 200

The marginal totals for South campus and passed need to be calculated as:

Marginal total for South campus is 42 + 58 = 100

Marginal total for passed is 42 + 31 = 73

Using the following formula, we can now know the anticipated frequency for the South campus and passed:

Expected frequency = (row total * column total) / grand total

Expected frequency for South campus and passed = (100 * 73) / 200 = 36.5

Therefore, the expected frequency of South campus and passed=36.5.

In the event that there is no appreciable difference between the two campuses' pass rates, this statistic represents the anticipated number of students who passed the aptitude exam at the South campus.

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Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:

import java.util.Scanner;

public class VariableOperations {

   public static void main(String[] args) {

       Scanner scanner = new Scanner(System.in);

       System.out.print("Enter the value for x: ");

       int x = scanner.nextInt();

      System.out.print("Enter the value for y: ");

       int y = scanner.nextInt();

       // Addition

       int addition = x + y;

       System.out.println("Addition: " + addition);

       // Subtraction

       int subtraction = x - y;

       System.out.println("Subtraction: " + subtraction);

       // Multiplication

       int multiplication = x * y;

       System.out.println("Multiplication: " + multiplication);

       // Division

       if (y != 0) {

           double division = (double) x / y;

           System.out.println("Division: " + division);

       } else {

           System.out.println("Cannot divide by zero.");

       }

   }

}

This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.

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Answer:

B. If both sides of an inequality are multiplied or divided by a negative​ number, the direction of the inequality symbol must be reversed.

Step-by-step explanation:

Answer:

standard form

Step-by-step explanation:

Answer:

its 87

:)))))))))))))))

Answer:

You need to give us a picture or numbers or something I can't answer that.

Step-by-step explanation:

Answer:

just divide 375 by 5 the answer would be  75

Step-by-step explanation:

Answer:

Mina traveled 75 miles per hour

Step-by-step explanation:

In order to find how many miles Mina traveled per hour we are going to have to divide the amount of time it took to go the distance which is 375 divided by 5:

375 / 5 = 75

So for every hour she travels 75 miles

Hope this helps!!!

Answer:

s = 1,811 square foot

Step-by-step explanation:

Here, we want to calculate the area of the roof.

The best way to proceed here is by substitution.

We simply substitute the length and the price into the bid price equation to get the area of the roof.

From the original equation, the formula to use is ;

P = 1.85s + 4.2f

now from what we are given; s = ?

f = 190 feet and P = $4148

substituting these values, we have;

4148 = 1.85s + 4.2(190)

4148 = 1.85s + 798

1.85s = 4148 -798

1.85s = 3350

s = 3350/1.85

s = 1,810.810810810811

To the nearest square foot, s = 1,811

To calculate the mean absolute deviation (MAD) of the test scores for this sample, follow these steps:

Find the mean (average) of the test scores:

Mean = (95 + 65 + 70 + 70 + 85 + 90 + 100 + 40 + 75 + 80) / 10

= 750 / 10

= 75

Find the absolute deviation for each test score by subtracting the mean from each score and taking the absolute value:

Absolute Deviation = |Score - Mean|

Absolute Deviation for each score:

|95 - 75| = 20

|65 - 75| = 10

|70 - 75| = 5

|70 - 75| = 5

|85 - 75| = 10

|90 - 75| = 15

|100 - 75| = 25

|40 - 75| = 35

|75 - 75| = 0

|80 - 75| = 5

Calculate the sum of the absolute deviations:

Sum of Absolute Deviations = 20 + 10 + 5 + 5 + 10 + 15 + 25 + 35 + 0 + 5

= 130

Find the MAD by dividing the sum of the absolute deviations by the number of scores (10 in this case):

MAD = Sum of Absolute Deviations / Number of Scores

= 130 / 10

= 13

Therefore, the mean absolute deviation (MAD) of the test scores for this sample is 13.

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Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Using trigonometry we can find that the height of the Citrus tower is 225.69ft.

One of the most significant areas of mathematics is trigonometry.

By combining the words "Trigonon" and "Metron," which respectively mean "triangle" and "measure," the word "trigonometry" is created.

It is the examination of how a right-angled triangle's sides and angles relate to one another.

It is therefore helpful to use formulas and identities based on this relationship to determine the measure of a right-angled triangle's unknown dimensions.

In the question here,

tan62° = opposite/adjacent

⇒ tan62° = h/120

⇒ h = 120 × tan62°

⇒ h ≈ 225.69

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Answer:

120

Step-by-step explanation:

The sum of the angles in a quadrilateral is 360 degrees

2t+t+2t+t = 360

6t = 360

Divide by 6

6t/6 = 360/6

t = 60

Angle Z = 2t

Angle Z = 2*60 = 120

Answer:

\(120 \: \: degrees\)

Second answer is correct.

Step-by-step explanation:

The sum of the angles in a qudrilateral = 360°

\(t + 2t + t + 2t = 360 \\ 6t = 360 \\ \frac{6t}{6} = \frac{360}{6} \\ t = 60\)

angle z

\(2t = 60 \times 2 \\ \: \: \: \: \: \: \: = 120\)

Answer: B

Step-by-step explanation: The tomato grows more over time so it will be a positive..

The height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

\(\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}\)

A. grade point average compared to the number of hours a student watches TV.

The grade points depend on the number of hours a student watches TV.

If watching time increases the grade point decreases.

B. the height of a tomato plant throughout the year

The height of a tomato and the number of years show a positive linear correlation.

C. a person's salary compared to the amount of education they have attempted:

The above situation represents an exponential regression.

D. SAT scores compared to hours spent studying

If the time spent in studying increases the SAT scores increases rapidly.

Thus, the height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.

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Answer:

Point of Intersection (-2,3)

Step-by-step explanation:

Answer:

After 5 additional days it will be equal

Step-by-step explanation:

1st special: 6x + 50

2nd special: 12x + 20

6x + 50 = 12x + 20

Subtract 20 from both sides;

6x + 30 = 12x

Subtract 6x from both sides;

30 = 6x

Divide both sides by 6;

x = 5

The farm for sale measures 1120 acres.  

How many acres are equivalent to one square mile?

1 square mile= 640 acres.

To convert square miles to acres, we need to know that there are 640 acres in one square mile.

Given that the farm for sale measures one and three-quarter square miles, we can calculate the number of acres as follows:

1 and 3/4 square miles = 1.75 square miles  

Number of acres = 1.75 square miles * 640 acres/square mile

Number of acres = 1120 acres

Therefore, the farm for sale measures 1120 acres.

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By using function notation, you should write an equation or expression for each statement as follows;

The temperature at 12 p.m ⇒ f(12).

The temperature was the same at 9 a.m. and at 4 p.m ⇒ f(9) = f(16).

It was warmer at 9 a.m. than at 6 a.m ⇒ f(9) > f(6).

Some time after midnight, the temperature was 24 degrees Celsius. ⇒ f(t) = 24.

In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).

For the statement, "The temperature was the same at 9 a.m. and at 4 p.m." we have:

4 p.m = 12 + 4 = 16

In function notation, we have:

f(9) = f(16) or f(16) = f(9)

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The probability of 5 successes in 10 trials, with a success probability of 0.1 on each trial, is approximately 0.00149.

To find the probability of x successes in n trials, given the probability of success p on each trial, we can use the binomial probability formula.

The formula for the probability of x successes in n trials is:

P(x) = (nCx) * (p^x) * ((1-p)^(n-x))

Where:

nCx represents the number of combinations of n items taken x at a time, and it can be calculated as n! / (x!(n-x)!).

p^x represents the probability of x successes.

(1-p)^(n-x) represents the probability of (n-x) failures.

In this case, x = 5, n = 10, and p = 0.1.

Let's calculate the probability:

P(5) = (10C5) * (0.1^5) * ((1-0.1)^(10-5))

Calculating each term:

(10C5) = 10! / (5!(10-5)!) = 252

(0.1^5) = 0.00001

(1-0.1)^(10-5) = 0.9^5 = 0.59049

Plugging in the values:

P(5) = 252 * 0.00001 * 0.59049

Calculating the result:

P(5) ≈ 0.00149

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Answer:

13n = 5 cubic yards

Step-by-step explanation:

In Euclidean geometry, opposite sides and angles of a parallelogram are congruent, a property not shared in non-Euclidean planes. The opposite sides and opposite angles of a parallelogram in a Euclidean plane are congruent.

In a general Hilbert plane, opposite sides of a parallelogram need not be congruent. This is because non-semi-Euclidean planes such as the Saccheri and Lambert quadrilaterals do not satisfy the Euclidean parallel postulate. However, in a plane that satisfies the Euclidean parallel postulate, opposite sides and opposite angles of a parallelogram are congruent.

The Euclidean parallel postulate states that given a line and a point not on that line, there is only one line that passes through that point and does not intersect the original line. This means that in Euclidean geometry, parallel lines never meet. Therefore, in a Euclidean plane, we can construct parallelograms by drawing two parallel lines and then connecting them with other segments.

Let ABCD be a parallelogram in a Euclidean plane. Draw diagonal AC, which divides the parallelogram into two congruent triangles, ΔABC and ΔADC. Since ΔABC and ΔADC share the side AC, we have AB = CD and BC = DA by the Side-Side-Side (SSS) congruence criterion.

Similarly, since opposite sides of a parallelogram are parallel and thus form alternate interior angles, we have ∠A = ∠C and ∠B = ∠D by the Alternate Interior Angles Theorem. Therefore, opposite sides and opposite angles of a parallelogram in a Euclidean plane are congruent.

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Answer:

Longer than

Step-by-step explanation:

The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:

AC = FE, BC = DE

Also m∠C is greater than m∠E

∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF  therefore AB is greater than DF

From the given two triangles under the given conditions of congruency, we can say that;

Line segment AB is longer than Line segment FD.

The image showing both triangles is missing and so i have attached it.

Therefore, we can say that line AB and line FD do not have the same length.

Now, we see that angle BCA is larger than angle DEF, and as such we can say that the line segment AB is longer than line segment FD.

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Answer:

The digits arranged in order from least to largest is 3.011, 3.09, 3.9, 9.3

Step-by-step explanation:

The arrangement of decimals in order from smallest to largest can be done by  taking note of the  digit in the unit portion, the tenths, hundredths and thousandths.

The numbers are;

9.3

3.09

3.9

3.011

The largest number is the 9.3

Of the three numbers with 3 as unit, the lowest hundredths is 0.011, therefore, we have;

Therefore, the least (lowest) number = 3.011

The next is the 3.09 as 0.09 is larger than 0.011

Then the second number is 3.9

The digits arranged in order from least to largest is then 3.011, 3.09, 3.9, 9.3.

The probability that the mean of their test scores is greater than 78 is 0.0301.

Given,

Mean = 73

Standard Deviation σ = 7.8

Number of students randomly selected = 24

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x.

The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

The number of standard deviations from the mean is called the z - score and can be found by the formula

Z = (x - μ)/σ.

Z = (70 - 73)/(7.8/√24) = -1.88442228

P(z < -1.88) = 0.0301

Therefore, P(z < -1.88) = 0.0301

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Answer:

Yes I am sure you did it right

Step-by-step explanation:

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

The guarantee period of the electronic components by Accrotime manufactures is 38 months.

mean = μ = 24 months

standard deviation = σ = 5 months

2 years = 24 months

a) P(x < 24)

= P[(x - μ ) / σ < (24 - 28) / 5]

= P[(x - μ ) / σ < -0.8

= P(z < -0.8 )

Using z table,

= 0.212

Percentage = 21.2%

b) Use standard normal table,

Refund percentage = 12%

P(Z > z) = 12%

= 1 - P(Z < z) = 0.12

= P(Z < z) = 1 - 0.12

= P(Z < z ) = 0.88

= P(Z < 0.174 ) = 0.94  

z = 0.174

Using z-score formula,

x = z ×σ  + μ

x = 1.74 × 5 + 28

x = 36.7

The guarantee period = 38 month

Thus, the guarantee period of the electronic components by Accrotime manufactures is 38 months.

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Considering the given relations, the value of the multiplication of f(x) and g(x) at x = 3 is given by:

(f x g)(3) = 60.

The multiplication is given by the multiplication of each of the numeric values at x = 3, hence:

(f x g)(3) = f(3) x g(3).

The values are found as follows:

Hence the multiplication is given by:

(f x g)(3) = f(3) x g(3) = 15 x 4 = 60.

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Answer:

1] Two consecutive multiples = 50,55. 2] Sahil , Mother current age = 13,42 3] Length of rectangle = 4.5  

Step-by-step explanation:

1] Let one multiple of 5 be = n. As there are two consecutive multiples, other multiple = n + 1. Given : sum of two consecutive multiples of 5 is 55

So, 5n + 5(n+1) = 55

5n + 5n + 5 = 55 ; 10n + 5 = 55 ; 10n = 50 - 5 = 50 ; n = 50 / 10 ; n = 5

n  {One multiple} = 5 ; Other multiple {n+1} = 5 + 1 = 6

2] Let present age of Sahil be = x. So, present age of Sahil mother = 3x

5 years hence : (x+5) + (3x+5) = 66  {Equation 1}

Solving Eq 1} : x + 5 + 3x + 5 = 66 ; 4x + 10 = 66 ; 4x = 66 - 10 ; 4x = 56

x = 56/4 ; x = 14 {Sahil Current Age}. Mother current age = 3x = 3 x 14 = 42

3] Perimeter of rectangle = 2 (Length + Width). Perimeter = 13 , Width = 2.

So, 13 = 2 (L +2) ; 13 = 2L + 4 ; 2L = 13 - 4 = 9 ; L = 9/2 ; Length = 4.5

Answer:

y =  4  or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

​2log_4(y) - log_4(5y-12) = log_4(2)           apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2)    apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2)                     remove logarithm

y^2/(5y-12) = 2                                            cross multiply

y^2 = 10y-24                                                  rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

1/3 of the loaf of bread remains.

If Cameron's family ate 4/6 of the loaf of bread, it means they consumed 4 parts out of a total of 6 parts.

To find out how much remains, we need to subtract the consumed portion from the whole loaf.

The amount remaining can be calculated as:

1 (whole loaf) - 4/6 (consumed portion)

To simplify the calculation, we can convert 4/6 to its simplest form.

Both the numerator and denominator are divisible by 2, so we get:

1 - 2/3

To subtract fractions, we need to find a common denominator.

The least common multiple of 1 and 3 is 3.

Converting 1 to have a denominator of 3, we get:

3/3 - 2/3

Now, we can subtract the numerators while keeping the common denominator:

(3 - 2)/3 = 1/3

Therefore, 1/3 of the loaf of bread remains.

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