what is 100% of 1,492?

To make a tree diagram, start by writing out the given information and drawing a box around it. Then draw two branches off of the box representing the two possible outcomes of selecting a student, male or female. Then draw two more branches off of each of the first two branches, representing the two possible outcomes of receiving aid.

Then draw two more branches off of each of the second two branches, representing the two possible outcomes of receiving federal aid. This will create a tree diagram that looks like this (see the image).

From the tree diagram, we can calculate the probability of selecting a student from the given information as follows:

P(selecting a student) = P(selecting a male) + P(selecting a female) = (of male students/total students) + (of female students/total students) = (of male students + of female students)/total students =

Therefore, the probability of selecting a student from the given information is .

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Answer:

189.3 cm^2

Step-by-step explanation:

split into a rectangle and a semi-circle

rectangle=LxW=10x15=150 cm^2

radius (r)=1/2 diameter=5 cm

semi-circle=1/2(pi)r^2=1/2(3.14)(5^2)=39.25 cm^2

150+39.25=189.25 cm^2

Answer:

I've attached a pic how the graph will look like

Answered by GAUTHMATH

\(n+11=25\)

Subtract 11 from both sides:

\(n+11-11=25-11\)

\(\boxed{n=14}\)

Answer:

1 liters

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

x = 9 and y = 3

3 times 3 equal 9 so if y is 12 then 12 x 3 = 36

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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The correct options are (A) and (B).

Because

The equation is solved to a simplified form as x = -4 ±√14

From the information given, we have that the quadratic equation is given as;

x² + 4x = 3

collect the like terms

x² + 4x - 3 = 0

Using the quadratic formula, we have

x = -b±√b² - 4ac/2a

From the equation;

ax + bx + c = 0

a = 1

b = 4

c = -3

Substitute the values

x = -4 ± √(4)² - 4(1)(-3)/2(1)

expand the bracket, we get;

x = -4 ± √16 + 12/2

Add the values

x = -4 ± √28/2

Divide the values

x = -4 ±√14

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The probability that the next person will purchase exactly one costume is 319/381.

The overall count of individuals who visited includes all categories of visitors, which comprises of 28 individuals who didn't buy any costume, 319 individuals who acquired one costume, and 34 individuals who bought more than one costume, hence making a total of 381 visitors.

To determine the likelihood of an occurrence, one must divide the number of possible ways that the event could happen by the overall number of potential outcomes.

. Here, the event is a visitor purchasing exactly one costume.

So, the probability that the next visitor will purchase exactly one costume is the number of visitors who purchased exactly one costume (319) divided by the total number of visitors (381).

Therefore, the probability can be written as a fraction 319/381. This fraction cannot be simplified further.

Hence, the probability that the next person will purchase exactly one costume is 319/381.

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The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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The length of side a is approximately B. 24.3 (to the nearest tenth).

The correct answer is B. 24.3

To find the length of side a in triangle ABC, we can use the Law of Sines, which states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a triangle.

The Law of Sines can be expressed as:

a/sin(A) = c/sin(C)

where a is the length of side a, A is the measure of angle A, c is the length of side c, and C is the measure of angle C.

Angle A (m∠A) = 45°

Side c (c) = 17

Angle B (m∠B) = 25°

We need to find the length of side a.

Using the Law of Sines:

a/sin(45°) = 17/sin(25°)

To find a, we isolate it by multiplying both sides of the equation by sin(45°):

a = 17 * (sin(45°) / sin(25°))

Using a calculator to evaluate the expression:

a ≈ 24.3

Therefore, the length of side a is approximately 24.3 (to the nearest tenth).

The correct answer is:

B. 24.3

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Answer:

  300

Step-by-step explanation:

Let x represent the number of adults in the zoo at 12 pm. Then the number of children at that time is 855 -x.

The number of remaining children is 1/5 of the number at 12 pm, so is ...

  (855 -x)/5

The number of remaining adults is 1/4 of the number at 12 pm, so is ...

  x/4

There are 36 more remaining children, so we have ...

  (855 -x)/5 -x/4 = 36

  171 -9x/20 = 36 . . . . . collect terms

  135 = 9x/20 . . . . . . . . add (9/20)x-36

  (20/9)(135) = x = 300 . . . . . multiply by 20/9

There were 300 adults in the zoo at 12 pm.

Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

Answer:

12/2652

Step-by-step explanation:

First, the probability of drawing a king for the first time is 4/52. The chance of drawing another is 3/51. Multiplying, we get the 3rd answer choice, 12/2652

Answer:

0

27

Step-by-step explanation:

Answer:

0.975617283951

Step-by-step explanation:

first, we solve both equations.

electromagnetic waves travel at a rate of 324 meters per second.

A satellite is orbiting the earth at a height of 316.1

the problem told us that time=distance/rate (AKA: speed)

the rate(speed) is 324 meters per second. the distance is 316.1

now we figure out 316.1/324=0.975617283951

Answer:

Step-by-step explanation:

area of bottom of round pan = πr² = 9π in² ≅ 28.27 in²

area of bottom of rectangular pan = 10×2 = 20 in²

area of bottom of round pan is greater than area of bottom of rectangular pan by about 8.27 in²

Start by plotting the y-intercept at (0,1).

From that point, count "up 2, right 1" to get a second point on your graph.  

If needed repeat that "up 2, right 1" from that second point to get a third point.

Draw the line that connects these 2 or 3 points.

Answer: C

Step-by-step explanation: I took the test!!

The required distance that the ladder foot away from the base of the wall is √133  meters. Option C is correct.

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Let the base length be x,
According to the question, a 13-meter ladder reach, the foot of the ladder is 6 meters.
So, applying the Pythagoras theorem,
13² = 6² + x²
x = √169 - 36
x = √133

Thus, the required distance that the ladder foot away from the base of the wall is √133  meters.

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Answer:

The variable "h" represents: The number of hours

The constant 20 represents: the initial rental price

The variable term 12.5h represents: the hourly rental amount

Step-by-step explanation:

Answer:

Hello,

What is tan 30°?

\(tan(30^o)=\dfrac {\sqrt{3} }{3}\)

Step-by-step explanation:

\(sin(30^o)=\dfrac{1}{2} \\\\cos(30^o)=\dfrac{\sqrt{3} }{2} \\\\\\tan(30^o)=\dfrac{sin(30^o)}{cos(30^o)} \\tan(30^o)=\dfrac{\dfrac{1}{2} } { \dfrac{\sqrt{3} }{2} }\\\\ =\dfrac {1*2}{2*\sqrt{3} }\\\\ =\dfrac {\sqrt{3} }{3}\)

The value of tan 30° is 1/√3

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

In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.

Tan 30° = sin 30° / cos 30°

We know that, sin 30° = 1/2

cos 30° = √3/2

Therefore,

Tan 30° = 1/2 ÷ √3/2

Tan 30° = 1/2 x 2/√3

Tan 30° = 1/√3

Hence, the value of tan 30° is 1/√3

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Answer:

A function is a rule that assigns to each input exactly one output.

Step-by-step explanation:

If you have more than one of the same inputs for multiple outputs, it would create a vertical line at somepoint on your line.

Answer:

The correct answer is "a rule that assigns to each input exactly one output".

Step-by-step explanation:

In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from real numbers to real numbers.

Answer:

y= 5/6x+4

Step-by-step explanation:

you go up 5

over 6

so 5/6

then its already on positive 4 so its +4

Slope-intercept form is the form of a line where y equals the product of the slope and the input plus the y-intercept, or:

y = mx + b

\(m = \frac{y_2 - y_1}{x_2-x_1}\\m = \frac{9 - 4}{6-0}\\m = \frac{5}{6}\)

b = 4

The final equation of the line is:

y = 5/6x + 4

i wish you good luck

Answer:

d

Step-by-step explanation:

Answer:

that person is wrong it is c

Step-by-step explanation:

i did it

Janie cannot do a fraction of a chore, the Number of chores that Janie would need to do to earn enough money to purchase the CD is at least 12.

Let us assume that "c" represents the number of chores that Janie could do. Let's now create an inequality to determine the number of chores, ccc, that Janie could do to have enough money to buy the CD.

Since Janie earns $1.20 for each chore she does, we can multiply that amount by the number of chores she completes to determine how much money she will earn.

Thus, we obtain the following inequality:1.20c >= 13.50To find the number of chores that Janie would need to do to earn enough money to purchase a CD, we can use algebra to solve for "c".

To do that, we must first divide each side of the inequality by 1.20:c >= 11.25After dividing each side by 1.20, we obtain the inequality c ≥ 11.25.

Since Janie cannot do a fraction of a chore, the number of chores that Janie would need to do to earn enough money to purchase the CD is at least 12.

Let's do a check: If Janie were to complete 12 chores, she would earn 1.20 × 12 = 14.40, which is greater than the cost of the CD.

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Answer:

8 × 10 + 5 × 1. is the correct answer .STAY BRAINLY

Answer:

the answer is D

hope it will help