In a particular town, a billboard must be rectangular and cannot have a total area of more than 120 square feet. There are no restrictions on its length or height. Which billboard dimensions meet this requirement?

Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

Step-by-step explanation:

add 6 and 2 to get 8 and add all the numbers to get 9

Option • 12 is the answer .The number of treatments in the experiment is 12.

The understudy is directing a trial to comprehend the connection between microwave power and time on the quantity of unpopped bits in a pack of popcorn. There are three degrees of microwave power: low, medium, and high. Each sack of popcorn can be popped for either 3 minutes or 4 minutes, which provides us with a sum of double cross variables. To cover every one of the potential mixes of time and power, the understudy runs 12 distinct medicines (3 degrees of force x 2 degrees of time). Every treatment addresses one sack of popcorn that is popped for a particular time frame and with a particular power setting. The quantity of unpopped parts is recorded for every treatment, and the outcomes are utilized to make determinations about the impacts of microwave power and time on the quantity of unpopped pieces.

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Answer:

false fake false false false.............

Step-by-step explanation:

.....,........................

If the equation be \($\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$\) then the value is 1.22222

The term "numerical evidence" describes information that is expressed in a numerical manner, such as numbers, quantities, or statistical data. It is thought to be objective and quantifiable, and it is used to support a claim or argument.

The quantity of sales made during a specific business quarter is an example of numerical data. Simply put, if the response includes a number, the data is quantitative (numerical).

Let the equation be \($\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$\)

Simplifying the above equation, we get

\($\frac{x^2-x-30}{x^2-3 x-18}= \frac{x+5}{x+3}$\)

\($=\lim _{x \rightarrow 6}\left(\frac{x+5}{x+3}\right)$$\)

Plug in the value x = 6

= (6 + 5)/(6 + 3)

= 11/9 = 1.22222

Therefore, the equation of \($\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$\) be 1.22222.

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Answer:

a) 0.0023

b) 0.007

c) 0.993

Step-by-step explanation:

The total number of marbles are;

5 + 10 = 15

Probability of red = 5/15

Probability of white = 8/15

Probability of 4 being red means, 4 will be white too;

Thus, the probability without replacement will be;

5/15 * 4/14 * 3/13 * 2/12 * 10/11 * 9/10 * 8/9 * 7/8 =

0.002331002331 which is approximately 0.0023

b. All white

Here, we have all the marbles selected being white

Thus the probability without replacement will be;

10/15 * 9/14 * 8/13 * 7/12 * 6/11 * 5/10 * 4/9 * 3/8

= 0.006993006993 which is approximately 0.007

c. At least one will be red

Mathematically, that will be;

1 - p(no red)

p(no red) = p(all white)

P(all white) = 0.007

hence P(no red) = 0.007

P(at least one red) = 1 - 0.007 = 0.993

Using the hypergeometric distribution, it is found that there is a:

a) 0.1632 = 16.32% probability that 4 will be red.

b) 0.0070 = 0.7% probability that all will be white.

c) 0.993 = 99.3% probability that at least one will be red.

The marbles are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Item a:

This is P(X = 4), hence:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 4) = h(4,15,8,5) = \frac{C_{5,4}C_{10,4}}{C_{15,8}} = 0.1632\)

0.1632 = 16.32% probability that 4 will be red.

Item b:

0 red, hence P(X = 0).

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 0) = h(0,15,8,5) = \frac{C_{5,0}C_{10,8}}{C_{15,8}} = 0.0070\)

0.0070 = 0.7% probability that all will be white.

Item c:

This is:

\(P(X \geq 1) = 1 - P(X = 0)\)

From item b:

\(P(X \geq 1) = 1 - 0.007 = 0.993\)

0.993 = 99.3% probability that at least one will be red.

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Answer:

(d) 18 in.

Step-by-step explanation:

When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:

P = s1 + s2 + s3, where

P = 2 + 6 + 10

P = 8 + 10

P = 18

Thus, the perimeter of the triangle is 18 in.

Answer:

3/8

Step-by-step explanation:

hope it helps :)

9514 1404 393

Answer:

  $200

Step-by-step explanation:

The interest is given by ...

  I = Prt

  I = ($4000)(0.05)(1) = $200

The simple interest owed is $200.

The width of the rectangle is y = (8P - 2x) ÷ 2 and the maximum area of the rectangle is A = x x y.

The perimeter of a rectangle is given by the following equation: 2L + 2w = P, where P is the perimeter, L is the length, and w is the width. We are given that the rectangle has a perimeter of 8P units. Let x represent the length of the rectangle and let y represent the width. Then, the equation for the perimeter of the rectangle in terms of x and y is: 2x + 2y = 8P.

To solve for y, we can subtract 2x from both sides of the equation to get: 2y = 8P - 2x. Then, we divide both sides of the equation by 2 to get: y = (8P - 2x) ÷ 2.

Now, we can use the area formula for rectangles, A = L x w, to determine the maximum area of a rectangle with a perimeter of 8P units. Substituting the values for length and width, we get: A = x x (8P - 2x) ÷ 2. We can rearrange this equation to make x the subject: A = x x (8P - 2x) ÷ 2 → x2 - (8P/2)x + A = 0.

Now, we can use the quadratic equation to solve for the length of the rectangle, x. We get: x = (8P ± √(64P2 - 16A)) ÷ 4. Therefore, the width of the rectangle is y = (8P - 2x) ÷ 2 and the maximum area of the rectangle is A = x x y.

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Answer:

Now plot those points in graph and find intersection hope it helps you.......

Answer:

What grade math is this?

Step-by-step explanation:

This math is hard.

Answer:

5<x<21

Step-by-step explanation:

when any two sides are added together they have to be greater than either side... to find the range

add the two sides together to get the upper end of the range 8+13=21

and to get the lower end of the range subtract 13-8=5

so the range is 5<x<21

the third side CAN NOT be 5 or 21, must be between them

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer: 23 units just took the test

Answer:

The answer is 23 units.

Step-by-step explanation:

The payoff by its probability and adding the results.

The probability of rolling a 6 is 1/6, the probability of rolling a 5 is 1/6, the probability of rolling a 4 is 1/6, and the probability of rolling any other number is 3/6 (since there are three other numbers on a die).

So, the expected winnings can be calculated as:

(10)(1/6) + (7)(1/6) + (6)(1/6) + (0)(3/6) = 1.67 + 1.17 + 1 + 0 = 3.84

Therefore, the expected winnings for this game are $3.84.tep explanation:

Answer:

The volume of the Box is 648

Step-by-step explanation:

You can use this formula lwh. (Length × Width × Height.)

Hope this helps!

Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent  to f(g(10)) is, 37

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

f(x) = x² + 1

g(x) = x – 4

f(g(10)) = ?

f(g(x))  =  (x - 4)² + 1

           =  x² - 8x + 16 +1

           =   x² - 8x + 17

f(g(10)) =  10² - 8×10 + 17

            = 100 - 80 + 17

            = 37

The value of  f(g(10)) is 37

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Answer:

25 ft tall

Step-by-step explanation:

divide 1250 by 50

i think its right lol.

The Volume of the box is 3.75in³

The volume of the box is dependent on the volume of the cube in it.

To obtain the volume of a cube, we use the relation, V = s³

s = side of the cube

Volume = 0.5³ = 0.125 in³

Number of cubes in box = 30

Volume of each cube × Number of cubes

0.125 × 30 = 3.75 in³

Hence, the volume of the box is 3.75in³

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None of the chosen pairs will be dependent as nothing is specified.

Independent events are those events whose occurrence does not have any effect on the events that may occur or occurred.

Dependent events are those vents whose occurrence either depends on some other event or has an effect on occurring or occurred vents.

Given, The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.

As not mentioned that what kind of book he chooses first or types of book.

Also which shelf he chooses first choosing the first book is independent

and choosing the second book is also independent so none of the chosen pair will be dependent.

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Answer: y = 3x - 11

Step-by-step explanation:

First, let's find the slope of the line

y=3x+2

As the equation is already in slope-intercept form y=mx+c ,

Slope = 3

Let a point

(x,y) be on the new line.

By finding the slope again,

y+5/ x−2=3

y+5=3(x−2)

y+5=3x−6

Slope-intercept form:

y=3x−11

Answer:

y = 3x -11

Step-by-step explanation:

First, rewrite the equation in standard form (Ax + By = C)

y=3x+2

3x - y = -2

To find the slope (m) of this line, it is equal to - A /B.

m = - 3 / -1

= 3

Parallel lines have equal slopes, so the new line also has a slope of 3.

Using point-slope form y-y1 = m(x-x1) ,

we can find the equation of the line.

y - (-5) = 3 ( x- 2)

y + 5 = 3x - 6

3x - y = 11

Slope-intercept form is y = mx + c

c is the y-intercept, which we have yet to find.

In y-intercept, x must be 0.

3(0) - y =11

y = -11

Therefore, the equation required will be:

y = 3x -11

Step-by-step explanation:

1/16 for Washington County.

5/76 for Webster County.

so, let's bring both to the same denominator (bottom part of the fractions).

this is usual the LCM of both denominators.

since 16 = 2×2×2×2

76 = 2×2×19

the least common multiple (LCM) is the combination of the longest sequence per prime factor involved :

2×2×2×2×19 = 16×19 = 304

1/16 = 19/304

5/76 = 5× 1/76 = 5× 4/304 = 20/304

so, now we know, 20/304 > 19/304, and therefore Webster County has the greater fraction of adults, who enjoy gardening.

The graph of the function H(x) = "x+5" and the graph of the function t(x) = "2x+5" are displayed in the picture that is attached below.

This is further explained below.

Generally, The set of ordered pairings that satisfy the condition \("\displaystyle f(x)=y"\) is the graph of the function f.

These pairings, which are Cartesian coordinates of points in two-dimensional space and hence constitute a subset of this plane, are found under the usual scenario in which both x and f(x) are real values.

In conclusion, The Graph of the function H(x) =|x+5| and t(x)=|2x+5| is given in the image attached below.

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Answer:

-4 < x < -2

Step-by-step explanation:

Taking the left part of the inequality :

Taking the right part of the inequality :

Solution :

Answer: I can help!

Step-by-step explanation

Turn all the xs above into 6 then, see if your answer is true and explain.

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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