Five students, adriana, ben, chandra, diana, and ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair. What is the theoretical probability that chandra will be chosen as one of the science fair participants?.

Length: 18 in.

Width: 6 in.

We can use “x” as the width in this scenario. If the width is x, then the length is 3x, since length is three times the width. The perimeter would be length + length + width + width. Since the perimeter is 48, we could say that:

x + x + 3x + 3x = 48

Which simplifies to 8x=48

If you divide by 8 on both sides, you get

X=6. Then you Can plug 6 back into your x width and 3x length.

(See attached image) hope this helped!

Hello!

Let's set up some variables:

Let's consider the relationship between the length and the width:

              \(\hookrightarrow L=3W\)

The perimeter of the rectangle is equal to 48 and 2W + 2L

  \(\hookrightarrow 2L + 2W = 48\)

Let's replace the 'L' in terms of 'W' and solve:

    \(2(3W) + 2W = 48\\6W + 2W=48\\8W = 48\\W = 6\)

Since L = 3W

  \(\hookrightarrow L = 3W = 3*6 = 18\)

Answer:

Hope that helps!

Dr. Chu tested the physical coordination skills of 21-year-old men who were first assigned to drink a beverage with either 4, 2, or 0 ounces of alcohol. The independent variable in this study is the amount of alcohol consumed by the men, and the dependent variable is the physical coordination skills of the men.

The independent variable in Dr. Chu’s study is the amount of alcohol consumed by the 21-year-old men before testing their physical coordination skills.

The independent variable is the variable that is being manipulated or changed by the experimenter to test its effect on the dependent variable, which is the variable that is being measured.In this study, the independent variable is the quantity of alcohol consumed by the men.

They were divided into three groups, one was given a beverage containing 4 ounces of alcohol, another group was given a beverage containing 2 ounces of alcohol, and the third group was given a beverage without any alcohol.The dependent variable in this study is the physical coordination skills of the 21-year-old men. The dependent variable is the variable that is being measured to determine the effect of the independent variable. Dr. Chu is studying how alcohol consumption affects the physical coordination skills of the 21-year-old men.

Dr. Chu tested the physical coordination skills of 21-year-old men who were first assigned to drink a beverage with either 4, 2, or 0 ounces of alcohol. The independent variable in this study is the amount of alcohol consumed by the men, and the dependent variable is the physical coordination skills of the men.

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7.

From the diagram, we can conclude:

Therefore:

Add like terms:

Solve for x:

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8-9

From the diagram we can conclude:

So:

Therefore:

The phrase "He went to get milk but never came back" is often used as a humorous way to explain someone's absence or to imply that someone is unreliable or untrustworthy.

The phrase likely originates from a common experience where a child's parent, often their father, promises to go out to get something, like milk, but never returns. This can be a source of disappointment and confusion for the child, and the phrase has since been used in a joking manner to explain someone's failure to show up or fulfill a promise.

However, it is important to recognize that this experience can also be a source of trauma and should not be used to make light of someone's pain or loss.

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If Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, how many books they can buy,

Rs 30 = 45 book

Rs 30 = 45

Rs 1 = 45 / 30

Rs 24 = 3/2 × 24

Rs 24 = 34 books

Thus, if Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.

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The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

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The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

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Answer:

a

Step-by-step explanation:

Original Price = $18

Discounted Price = $15

Discount is $3 as 18-15 is 3.

As a fraction, the discount rate is $3/$18 also equal to $1/$6

1/6 is approximately 0.167

0.167 = 16.67%

As a percent, the discount rate is 16.67%

Using the formula,  Amount of Discount = Discount Rate · Original Price we can find the amount of discount for the 2nd week.

Let x be the amount of discount.

x = 25% · $18

x = $4.50

The amount of discount is $4.50

Calculate the cost of the CDs during the second week: $18 - $4.50 = $13.50

The price of a CD during the second week of the sale is $13.50

Answer:

v = ± \(\sqrt{\frac{2E}{m} }\)

Step-by-step explanation:

Given

E = \(\frac{mv^2}{2}\) ( multiply both sides by 2 to clear the fraction )

2E = mv² ( divide both sides by m )

\(\frac{2E}{m}\) = v² ( take the square root of both sides )

v = ± \(\sqrt{\frac{2E}{m} }\)

Step-by-step explanation:

Im supposing this is a rectangle with length of 20 and width of 24, so... area is equal to lenth by width, so A=L*W or A=20*24 so the area is 480 square feet

question: when do you take the SAT test

The coeficient of x^3+y^4 in the algebraic expression is the number 2

What is an algebraic expression?

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

In the given expression we have the following:

2x^3+ 2y^4

As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 2.

2 is the coefficient of x^3+y^4

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Answer:

Step-by-step explanation:

Y=6m/1-m

x=3(m+1)/1-m

Answer: 4.8lbs, This claim is false

Step-by-step explanation:

Leo weighs 192 pounds. Then Leo's heart weight will be 76.258 ounces. So, its claim is false.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Hummingbirds have abnormally huge hearts for their body size. In the event that an individual's heart was essentially as large as a hummingbird's, their heart would weigh as much as an enormous canine's. A typical hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875 ounces.

The ratio of heart to weight is given as,

Ratio = 0.00875 / 0.3524

Ratio = 0.024829

The average weight of a large dog is usually more than 80 pounds. Leo weighs 192 pounds. Then Leo's heart weight is calculated as,

⇒ 0.024829 x 192 x 16

⇒ 76.28 ounces

Their heart weight of Leo is less than the weight of the dog. So, its claim is false.

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Answer:

C

Step-by-step explanation:

If 30% of the entire population of students are seniors, then this will apply to the female population as well. This means that the probability of being a female senior is 30% * 54%=0.3*0.54=0.162=16.2%, or answer choice C. Hope this helps!

Step-by-step explanation:

HERE,

redius of a circle (r)=14 meters.

we know that,

\(\boxed{\red{\sf{circle~ circumference=2\times \pi \times r   }}}\) 

According to the question,

circle circumference=

so, the circumference of that circle is 88 meters.

Answer: c. 0.40396

Step-by-step explanation:

The total number of flaws is given by:

\({\left({0}\times{4}\right)}+{\left({1}\times{3}\right)}(0\times4)+(1\times3) +{\left({2}\times{5}\right)}+{\left({3}\times{2}\right)}+(2\times5)+(3\times2) +{\left({4}\times{4}\right)}+{\left({5}\times{1}\right)}+(4\times4)+(5\times1) +{\left({6}\times{1}\right)}+(6\times1)={46}=46\)

Average number of flaws for the 20 sheets : \(\displaystyle\mu=\frac{46}{{20}}={2.3}\)

Required probability : \(=P(X\geq3)=1-P(X<3)\)

\(=1-[P(X=0)+P(X=1)+P(X=2)]\)

\(=1-(\dfrac{e^{-2.3}2.3^0}{0!}+\dfrac{e^{-2.3}2.3^1}{1!}+\dfrac{e^{-2.3}2.3^2}{2!})\ \ \ [\text{Poisson distribution formula: }P(X=x)=\dfrac{e^{-\mu}\mu^x}{x!}]\\\\=1-0.596038825932=0.403961174068\approx0.40396\)

Hence, c. is the correct option.

We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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Answer:

Width=5

Mark brainliest plzzz

Step-by-step explanation:

8x5x3=120

8x5=40

40x3=120

Answer:

\(\sqrt 255-30\)

= -14.0312805773

Answer:

\( \sqrt{255 - 30} \)

\( \sqrt{225} \)

\( \sqrt{15²} \)

=±15 is a required answer

Quadrilaterals do not have any portion of their diagonals in their exteriors. Diagonals of a quadrilateral are entirely contained within the boundaries of the shape.

In a quadrilateral, the diagonals are line segments connecting non-adjacent vertices of the shape. These diagonals divide the quadrilateral into four triangles. However, none of the diagonals extend beyond the exterior boundaries of the quadrilateral.

To understand this concept, visualize a quadrilateral, such as a square or a rectangle. The diagonals of these shapes are line segments connecting opposite corners within the quadrilateral. No part of these diagonals extends outside the shape. This principle holds true for all quadrilaterals, regardless of their shape or size.

The fact that quadrilaterals have no portion of their diagonals in their exteriors is a fundamental characteristic of these geometric shapes. This property is essential in various geometric proofs and calculations involving quadrilaterals, allowing for accurate analyses and deductions based on the internal structure of the shape.

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Answer:

answer 49 pi

units      cm^2

Step-by-step explanation:

radius=r=14/2=7  cm

area= pi*r^2cm^2=7^2*pi

=49 pi cm^2

answer 49 pi

units      cm^2

Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.

To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.

The ratio of cost to the quantity of visitors for $9 and four visitors is:

$9/4 visitors = $2.25/ visitors

The ratio of value to the quantity of visitors for $18 and eight visitors is:

$18/8 visitors = $2.25/ visitors

We are able to see that both ratios are equal to $2.25 per visitor.

Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.

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When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

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Answer:1,250

Step-by-step explanation:

You have to do 3750 Divided by 3 and you get 1,250

Answer:

f(-2) = -15

Step-by-step explanation:

f(x) = 7x - 1

f(-2) = 7(-2) - 1

f(-2) = -14 - 1

f(-2) = -15

Answer:

4² + (3 - 7) = 4 + 2³

Step-by-step explanation:

4² + (3 - 7) = __ + 2³

16 + (-4) = __ + 8

12 = __ + 8

12 = 4 + 8