Malik is a teacher who plays a review game with his class. the game involves writing each student's name on an identical slip of paper and selecting students at random. here's the makeup of his class: grade 10th, 11th, 12th, number of students 6, 14, 5. suppose that malik picks a name, replaces it, and picks a name again. what is the probability that both students selected are 12th graders?

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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In a graph, if there are exactly two vertices with an odd degree (an odd number of edges connected to them), any Eulerian trail (a path that visits every edge exactly once) must start at one of these vertices and end at the other. This property holds true for all graphs that meet the given condition.

An Eulerian trail is a path in a graph that visits each edge exactly once. In a connected graph, all vertices must have an even degree for an Eulerian trail to exist. However, if there are exactly two vertices with an odd degree, an Eulerian trail can still be formed, but it must start at one of the odd-degree vertices and end at the other.
The reason behind this is that every time we enter and leave a vertex, the degree of that vertex changes by two. Starting at an odd-degree vertex ensures that when we reach the end of the trail, the other odd-degree vertex is the only remaining vertex with an odd degree. By connecting the last edge to that vertex, we balance the degrees of all vertices, satisfying the condition for an Eulerian trail.
Therefore, if a graph has exactly two vertices of odd degree, it is guaranteed that all Eulerian trails in that graph will start at one of the odd-degree vertices and end at the other.

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The equation of a line that is perpendicular to a line that passes through points (- 4, 7) and (1, 3) is equal to y = (5 / 4) · x + 8. (Correct choice: C)

In this time we need to find a possible equation of a line that is perpendicular to another line that passes through points (- 4, 7) and (1, 3). Lines are defined by expressions of the form:

y = m · x + b

Where:

The relationship between the slopes of the two perpendicular lines:

m · m' = - 1

Where:

First, find the slope of the second line:

m = (3 - 7) / [1 - (- 4)]

m = - 4 / 5

Second, compute the intercept of the second line:

b = y - m · x

b = 3 - (- 4 / 5) · 1

b = 3 + 4 / 5

b = 19 / 5

Third, write the resulting equation for the second line:

y = - (4 / 5) · x + 19 / 5

Fourth, compute the slope of the perpendicular line:

m' = 5 / 4

Fifth, write the possible equation of the perpendicular line:

y = (5 / 4) · x + 8

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Answer:

10

Step-by-step explanation:

19-17=2

10+2=12-2 =10

Answer:

6 bags

Step-by-step explanation:

This problem is essentially asking how many (\(\frac{2}{3}\)) peanut bags can one fill with (\(4\)) pounds of peanuts. This problem can be solved by divided (\(4\)) by (\(\frac{2}{3}\)). Set up the problem,

\(4\) ÷ \(\frac{2}{3}\)

In order to divide by a fraction, one must change the multiplication sign to a division sign, then take the reciprocal of the second number, the fraction. In order to take the reciprocal of a fraction, switch the numerator (number on top) and the denominator (number on the bottom).

\(4 * \frac{3}{2}\)

Multiply,

\(\frac{12}{2}\)

Simplify,

\(6\)

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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The probability is 0.3845.The probability of anything occurring is known as probability.

Explanation:

2/52 * 10/52  = 20/52 = 0.3845.

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Answer:

C.

Becz 3 + -9 = 3 - 9

please mark as the brainlest answer

The figure is a regular pentagon, so all its internal angles are equal. So the first step is to find the value of the internal angle, that will also be the minimum rotation angle to have a new figure in the same orientation.

The formula to find the internal angle of a regular polygon is:

Using n = 5, we have:

The internal angle is 108°.

A rotation of 108° would make all vertices move one position (to the position of the next vertix).

We can see that point A moved two positions (from the left vertix to the right vertix), so the rotation angle is 2 times the internal angle:

So the correct option is B.

a) The set {1, 2, 3} does not represent vectors, but rather a collection of scalars. Therefore, there are no vectors in {1, 2, 3}.

b) The number of vectors in "col a" cannot be determined without additional context or information. "Col a" could refer to a column vector or a collection of vectors associated with a variable "a," but without further details, the exact number of vectors in "col a" cannot be determined.

c) Without knowing the specific context of "p" and "col a," it is impossible to determine if "p" is in "col a." The inclusion of "p" in "col a" would depend on the definition and properties of "col a" and the specific value of "p."

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The correct answer is

x+9

Answer:

78°

Step-by-step explanation:

Theorem of vertical angles says that the opposite angle formed by two intersecting lines are congruent

So x = 78°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x = 78

Step-by-step explanation:

The angle labeled x and the angle with a measure of 78° are vertical angles

Vertical angles are congruent ( equal to each other )

So if "x"'s vertical angle has a measure of 78 degrees than x also has a measure of 78 degrees.

Answer:

A = 48 cm²

Step-by-step explanation:

First, we can find the height by using the Pythagorean Theorem because the altitude →falls perpendicular on the base so it forms a right triangle and →is bisecting the base splitting it in two 6 cm parts.

10 ² = h ² + 6², subtract 6² from both sides

10² -6² = h², square-root both sides

√100 -36 = h , combine like terms

√64 = h

8 = h

Second, find the area of the triangle.

A = B ·h /2  = 12 ·8 /2 = 48 cm²

The probability of getting an ace from a well-shuffled deck of 52 cards is  1/13 and the probability of not getting an ace is 12/13

We can calculate the probability by the following method:

Total number of cards in a pack of cards= 52

Number of ace cards in a pack of cards= 4

Probability of an event= Number of possibilities of that event / Total number of possibilities

(i) If drawing an ace card is considered an event, suppose E, then:

P(E)= Number of ace cards/ Total number of cards

= 4/52

(ii) Probability of any event other than E= 1- Probability of the event E=

If the drawing of a non-ace card is considered an event, suppose E', then

P(E')= 1- the probability of drawing an ace card

= 1- P(E)

= 1-1/13

= (13-1)/ 13

= 12/13

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Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)

The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.

Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:

Volume = Length * Width * Height

Using the given measurements:

Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches

To simplify the calculation, we can convert the mixed numbers to improper fractions:

Volume = (21/2) inches * (61/2) inches * (129/4) inches

Next, we multiply the fractions:

Volume = (21/2) * (61/2) * (129/4) = 17289/8

The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:

Volume = 2161 1/8 in³.

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Answer:

I think 25% of 15, sorry if I am wrong :(

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

\(x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}\)

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

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Answer:

The fraction is 3/10 = .3

The slope of the point (12,-2) and (4,-6) is; 1/2

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation;

y-y₁ = m(x-x₁)

we have been given two points (12,-2) and (4,-6).

Then the slope is;

m = (-6 - (-2))/ (4 - 12)

m = -4 / -8

m = 1/2

The equation of line is y + 2 = 1/2(x - 12)

Hence, the slope of the point (12,-2) and (4,-6) is 1/2.

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Answer:

When you buy more expensive items or buildings it will raise your intrest so thats the difference look in between the two.

Step-by-step explanation:

Good luck on the rest of the quiz

In the metric system, multiplying by 1,000 would be the same as moving the decimal point three places to the right. So the correct option is C.

We move the decimal point to the right by the same number of places as the multiplier's number of zeros after one when the multiplier is 10, 100, or 1000. The decimal point in the multiplicand must be moved three places to the right in order to multiple a decimal by 1000. The number 644.67 was multiplied by 1000 in this case, moving us three spaces to the right. So the sum will be:

=644.67 × 1000

= (64467/100) × 1000

= 64467 × 10

= 644670

Remember that a decimal will move right the same number of places as the multiplier's number of zeros when multiplied by 10, 100, 1000, etc. If the multiplier contains more zeros than the numbers after the decimal point, the answer must also have more zeros.

Multiplying by 1,000 in the metric system corresponds to shifting the decimal point three places to the right. Thus, C is the correct option.

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Answer:

638 rupees

Step-by-step explanation:

The radio cost him x.

He sold it at a 10% profit for for x + 10% of x which is the same as 1.1x

1.1x = 605

x = 605/1.1 = 550 rupees

It cost him 550 rupees.

To gain a 16% profit, he must sell it for 550 rupees + 16% of 550 rupees

That is the same as 116% of 550 rupees or 1.16 * 550 rupees

1.16 * 550 rupees = 638 rupees

Answer: 638 rupees

Answer:

456748

Step-by-step explanation:

you 463uy2iuswhk then 13456

To find m,

m= Y2-Y1 / X2-X1

m= 10-5 / 4-2

m= 5/2

m= 2.5

To find b,

Use coordinate (4,10)

y=mx+b

10=2.5(4)+b

10=10+b

b=0

y=2.5x

the answer is y=2.5x

Answer:

x = - 5/2 or x = - 3/2

Step-by-step explanation:

|-2(x+2|=1

|-2x-4|=1

- 2x - 4 = 1 or - 2x - 4 = - 1

- 2x - 4 = 1

- 2x = 4+1

x = - 5/2

or -2x - 4 = - 1

-2x = 4 - 1

x = - 3/2

In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".

They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.

They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.

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The answer is (B) 1/e.

To find the absolute maximum value of f(x) = ln(x)/x, we need to find the critical points and endpoints of the function and then evaluate f(x) at these points to determine the maximum value.

First, we find the derivative of f(x):

f'(x) = (1/\(x^2\)) * (xln(x) - 1)

Setting f'(x) = 0, we get:

xln(x) - 1 = 0

Solving for x, we get:

x = 1/e

Since f(x) is only defined for x > 0, the only critical point is x = 1/e.

Next, we evaluate f(x) at the critical point and at the endpoints of the domain of the function:

f(1/e) = ln(1/e)/(1/e) = -1/e

f(0+) = lim(x→0+) ln(x)/x = lim(x→0+) (1/x) / 1 = ∞

f(∞) = lim(x→∞) ln(x)/x = lim(x→∞) (1/x) / (1/x) = 1

Since f(x) approaches infinity as x approaches 0+, and f(x) approaches 1 as x approaches infinity, the absolute maximum value of f(x) occurs at x = 1/e, and the maximum value is f(1/e) = -1/e.

Therefore, the answer is (B) 1/e.

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