Find an ordered pair solution to the equation using the value given for x.y = -6x - 5; x = 4

Using it's concept, it is found that the probability that a randomly selected student is in music/drama is:

P(Music/Drama) = 0.25.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the number of students is given by:

N = 20 + 7 + 3 + 20 + 13 + 2 + 25 + 5 + 5 = 100.

Of those, the number involved in music/drama is:

D = 7 + 13 + 5 = 25.

Hence the probability is given by:

p = 25/100 = 0.25.

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Answer:

This equation is true because it is only one group of 10 that is being represented.

Step-by-step explanation: 1 x 10= 10

2 x 10= 20

3 x 10= 30

any number time ten you just have to do the number times 1  and then add a 0

Step-by-step explanation:

x+x(3)=48

combine like terms

4x=48

Divide both sides by same term

4x/4=48/4

Simplify

x=12

Answer:

4

Step-by-step explanation:

(x * 3) * x = 48 ----> (4 * 3) * 4 = 48

The * are the multiplication signs. And hope this helps please choose my answer as the best so I can get brainliest pls.

Answer:

340=10*340 calculated

Answer:

340

Step-by-step explanation:

i know math alot

Answer:

Step-by-step explanation:

(-2-3)-(4-5)+ (−1+6)−(−9+8)

-5-4+5-1+6+9-8

-9+4+15-8

-5+7

2

Answer: the answer is (3,-2)

Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)

therefore

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

I'm pretty sure

Answer:

45 degrees

Step-by-step explanation:

360 degrees is a whole circle, and there are 8 slots

360 / 8 = 45

Answer:

D

Step-by-step explanation:

F(1)=7

G(f(1)= g(7)= 49-1=48

Answer:

5/13

Step-by-step explanation:

OM is 5 and OL is 13 use Pythagoreans theorem

The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.

An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.

To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.

The tangent of an angle is the ratio of the opposite side to the adjacent side,

So cot B = adjacent side / opposite side.

By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation

B = arctan(cot B).

Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,

B = arctan(cot B) = 56.31° (rounded to two decimal places)

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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".

The two positive numbers are 55, and 55.

Given that,

Two positive numbers whose product is a maximum and whose sum is 110.

To Find :  Two positive real numbers with a maximum product whose sum is 110.

x + y = 110

x = 110-y

Area = xy = (110-y)y

A = 110y-y^2

Maximum A occurs when y = -b/(2a) = -110/(2*-1) = 55

x + y = 110

x + 55 = 110

x = 55

and y is also 55.

Therefore, the two positive numbers are 55, and 55.

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Answer:

  6%

Step-by-step explanation:

Out of 100 rolls, there were 6 instances of 3. The experimental probability of rolling a 3 is ...

  6/100 = 6%

Answer:

7.25

Step-by-step explanation:

5 5.5 6 6.5 7 7.5 8 8.5 9 9.5

7 + 7.5 = 14.5

14.5/2 = 7.25  median

Answer:

Median is 6

Step-by-step explanation:

For box plots, the number along the line in the box is always the median.

The area of the rectangular field is 0 square meters .

Let's assume that the breadth of the rectangular field is B. Then, the length of the field will be 2B, as given in the problem.

The path inside the field has a uniform width of 2m. Hence, the breadth of the field including the path will be (B+4), and the length of the field including the path will be (2B+4).

The area of the field including the path can be calculated as follows:

Area = (B+4) x (2B+4)

= 2B^2 +12B + 16

The area of just the field (excluding the path) can be calculated by subtracting the area of the path from the area of the field including the path:

\(Area of field = (2B^2 +12B + 16) - (B+4) x (2B+4)= (2B^2 +12B + 16) - (2B^2 + 12B + 16)= 0\)

Now we know the area of the field excluding the path is 0, which means the cost of constructing the path is equal to the cost of constructing the entire field.

The cost of constructing the field is given as Rs 13760 and the cost per square meter is given as Rs 40. So we can set up the following equation:

Area x Cost per square meter = Total cost of construction

0 x 40 = Total cost of construction

Total cost of construction = 0

This implies that there is no field present and the given problem is inconsistent or invalid.

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Answer:

boys = 9 ( eighth grade ) + 1 ( seventh grade) = 10 boys

girls = 3 (eight grade) + 9 ( seventh grade) = 12

probability = 22÷ 2

= 1/11

Using conditional probability, it is found that there is a 0.00002 = 0.002% probability that an event that occurs in this region is that of an authorized user .

Conditional Probability

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem:

Probability of an event in this region:

Hence:

\(P(A) = 0.01\frac{1}{1000} + 0.5\frac{999}{1000} = \frac{0.01 + 0.5(999)}{1000} = \frac{499.51}{1000}\)

The probability of an event and an authorized user is:

\(P(A \cap B) = 0.01\frac{1}{1000} = \frac{0.01}{1000}\)

Hence, the conditional probability is:

\(P(B|A) = \frac{\frac{0.01}{1000}}{\frac{499.51}{1000}} = \frac{0.01}{499.51} = 0.00002\)

0.00002 = 0.002% probability that an event that occurs in this region is that of an authorized user .

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Answer:

You may divide by a variable. But only if you know the variable is non-zero. So, if setting the variable to zero makes both sides of the equation zero, we have a solution that that variable is 0, or the equation with the variable divided out holds. E.g. solve x(x-1) = 0. hi agian

Answer:

Area of Parallelogram Using Diagonals ; Using Base and Height, A = b × h ; Using Trigonometry, A = ab sin (x) ; Using Diagonals, A = ½ × d1 × d2 .....

Using Diagonals: A = ½ × d1 × d2 sin (y)

Using Base and Height: A = b × h

Using Trigonometry: A = ab sin (x)

Answer:

The 99% confidence interval  is  \(0.3003 < I < 0.3997\)

Step-by-step explanation:

From the question we are told that

     The sample size is  \(n = 500\)

      The the number that are parents  x =  175

The  proportion of parents is  mathematically represented as

       \(\r p = \frac{x}{n}\)

substituting values

      \(\r p = \frac{175}{500}\)

     \(\r p = 0.35\)

The  level of confidence is given as 99%  which implies that the level of significance is  

       \(\alpha = 100 - 99\)

       \(\alpha =\)1%

      \(\alpha = 0.01\)

The critical value for this level of significance is obtained from the table of critical value as

          \(t_{x, \alpha } = t_{175, 0.05} = 2.33\)

Generally the margin of error is mathematically evaluated as

       \(M =\frac{ t_{175, 0.01 } * \sqrt{\r p (1-\r p)} }{\sqrt{n} }\)

substituting values

     \(M =\frac{ 2.33 * \sqrt{\r 0.35 (1-0.35)} }{\sqrt{500} }\)

     \(M = 0.0497\)

Generally the 99% confidence interval is mathematically represented as

        \(I = \r p \pm M\)

    \(\r p -M < I < \r p + M\)

substituting values

    \(0.35 -0.0497 < I < 0.35 + 0.0497\)

    \(0.3003 < I < 0.3997\)

Answer:

first one

Step-by-step explanation:

The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

Answer:

You have to apply Indices Law :

\( {a}^{m} \div {a}^{n} ⇒ {a}^{m - n} \)

So for this question :

\( \frac{ {3}^{4} }{ {3}^{6} } \)

\( = {3}^{4} \div {3}^{6} \)

\( = {3}^{4 - 6} \)

\( = {3}^{ - 2} \: or \: \frac{1}{ {3}^{2} } \: or \: \frac{1}{9} \)

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

Your previous grades must have been really high and messed up your average once you failed, bringing your grade down a lot.

Step-by-step explanation:

Answer: 4

Step-by-step explanation: Because 4x4 is 16

Latifa writes down 64, as of the given conditions.

Given that,

Latifa writes down a number. She says If I find the cube root of that number and then quadruple the answer, I get is 16.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number be x,
[16 / 4]³ = x
x = 64

Thus, Latifa writes down 64, as of the given conditions.

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The number of squares that can be formed on a grid with n points on one side is (n² - (n-1)²).

The number of squares that can be formed with all their vertices belonging to the points of a grid can be calculated using the formula:

n² - (n-1)²

where n is the number of points on one side of the grid.

This is because there are n² total points on the grid, and each point can be used as a vertex for n-1 squares (when n>1) in the horizontal and vertical directions. However, each of these squares is counted twice, once for each corner point. So we subtract (n-1)² to account for the overcounting.

For example, if there are 4 points on one side of the grid, the number of squares that can be formed is 4² - (4-1)² = 16 - 9 = 7 squares.

In general, the number of squares that can be formed on a grid with n points on one side is (n² - (n-1)²).

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\(x^2-3x+2=0\\x^2-x-2x+2=0\\x(x-1)-2(x-1)=0\\(x-2)(x-1)=0\\x=2 \vee x=1\\\\x^2=4 \vee x^2=1\)

Answer:

Step-by-step explanation:

First we try to factor x²-3x+2.

We have to look for two numbers that multiply to 2 and add -3.

The two numbers are -1 and -2.

(x-1)(x-2) = 0

x-1 = 0 -> x = 1

x-2 = -> x = 2

Now we find x^2.

(1)^2 = 1

(2)^2 =4

A squared+b squared=c squared

5 squared+2 squared=c squared

25+4=29

The square root of 29 is C.

The order would be 2, 5, the square root of 29

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Using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.

Pythagorean triples are a²+b² =c² where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

Given that, x=8 and y=3.

The formula is (x²+ y²)²= (x² - y²)² + (2xy)²

Now, (8²+ 3²)²= (8² - 3²)² + (2×8×3)²

(64+9)²=(64-9)² +(48)²

73²=55²+48²

5329=5329

Therefore, using the given formula, Pythagorean Triple with x = 8 and y = 3 is 5329=5329.

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"Your question is incomplete, probably the complete question/missing part is:"

The identity (x²+ y²)²= (x² - y²)² + (2xy)² can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?

The areas of the parallelograms compare in the following way: The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

The areas compare in the sense that the area of the first parallelogram is 4 square units greater than the area of the second parallelogram. We can calculate the area of the first parallelogram as follows:

Parallelogram 1 = (6 * 6) - (1/2 * 2* 4) - (1/2 * 2 *4)  - (1/2 * 2 *4)  - (1/2 * 2 *4)

= 20 cm²

Parallelogram 2 = (4 * 8) - (1/2 * 2 * 2) - (1/2 * 2 * 6)  - (1/2 * 2 * 2) - (1/2 * 2 * 6)

= 16 cm²

20 - 16 = 4

So, the area of the first parallelogram is greater than the second with 4 units.

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