A rectangular swimming pool has a volume capacity of 2160 cubic feet
. Water is being added to
the pool at a rate of about 20 cubic feet per minute
. Determine about how long it will take to fill the pool
completely if there were already about 1200 gallons of water in the pool. Use the fact that I cubic foot of space holds about 7.5 gallons of water.

Gender refers to the social and cultural roles, behaviors, and expectations associated with being male or female. It is a complex construct that includes biological, psychological, and sociocultural factors.

In the context of the researcher's study, gender refers to the binary categories of male and female that were used to differentiate between the 24 individuals surveyed. The study aimed to investigate whether there are differences in attitudes toward women in leadership positions based on this binary categorization.

It is important to note that while gender is often simplified into binary categories, it is actually a diverse and multifaceted construct that can encompass a range of identities and experiences beyond male and female. Researchers should be cognizant of the limitations of binary categorizations and strive to use more inclusive language and methods whenever possible.

Learn more about behaviors here:

https://brainly.com/question/29569211

#SPJ11

Answer: 0.14

Step-by-step explanation

The required conditional probability would be 0.71.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The conditional probability is defined as:

P(A|B) = P(A∩B)/P(B)

From the given two-way table, we get

Drive to school and senior = 25

Senior = 25+5+5

= 35

Total = 2+25+3+13+20+2+25+5+5

= 100

Now,

P( Drive to School and Senior) = 25 / 100

P( Senior) = 35/ 100

Thus,

P( Drive to School | Senior) = 25 / 35 = 0.71

Therefore, the required conditional probability would be 0.71.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Answer:

25 students peer teacher, 22 students per tutor, 4 tutors for 81 students

Step-by-step explanation:

You need to find the unit rate,

for the teachers, to find the unit rate would be 125 divided by 5. For tutors it would be 88 divided by 4.

Then to find how many tutors you need for 81 students you would need 4 tutors because you want to divide 81 by the unit rate we got (22), and since the answer would be a decimal (3.68.....) you would need to round the whole number up to four because you cant have a decimal of a person.

Answer:

y=1/2x+3, or C

Step-by-step explanation:

1. Find the slope.

To find slope, pick two coordinates and count up and over to find rise over run.

Use (-2, 2) and (0,3) for example.

Counting up and over gives you 1/2. This is your slope.

2. Look to see where the line crosses the y-axis to get the y-intercept.

Here, it crosses it at (0,3). 3 is the y-intercept.

3. The answers are written in slope-intercept form, or y=mx+b. mx represents slope and b represents the y-intercept.

y=1/2x+3

Answer:

L = 22     W = 4

Step-by-step explanation:

It says that the length is 6 more than 4 times its width, this means

4W + 6 = L

Perimeter is 52, this means

2W + 2L = 52

and Area is 88, this means

W*L = 88

2W = 52 - 2L

W = 26 - L

4(26 - L) + 6 = L

104 - 4L + 6 = L

104 + 6 = L + 4L

110 = 5L

L = 22

W = 26 - 22

W = 4

Answer:

C my dude. have a merry christmassss

Answer:

A

Step-by-step explanation:

Both are negative, and largest is always first.

To find σg(X)^2, we need to calculate the variance of the function g(X) = 4X^2 + 2, where X is a random variable with a given density function. The density function is defined as f(x) = (3/2)(x + 1) for 0 ≤ x and 0 elsewhere. By calculating the variance of g(X), we can determine the value of σg(X)^2.

To calculate the variance of g(X), we first need to find the mean of g(X), denoted as E[g(X)]. For a continuous random variable, the mean is calculated as the integral of the function multiplied by the density function. In this case, we have:

E[g(X)] = ∫(4X^2 + 2) * f(x) dx

Substituting the given density function, we have:

E[g(X)] = ∫(4X^2 + 2) * (3/2)(X + 1) dx

After simplifying and evaluating the integral, we can find the value of E[g(X)].

Next, we calculate the variance of g(X), denoted as Var[g(X)]. The variance is calculated as the expectation of the squared difference between g(X) and its mean, E[g(X)]^2. In mathematical terms:

Var[g(X)] = E[(g(X) - E[g(X)])^2]

By substituting the values of g(X) and E[g(X)], we can evaluate this expression and find the value of Var[g(X)].

Finally, to find σg(X)^2, we take the square root of Var[g(X)], i.e., σg(X) = √Var[g(X)]. After calculating Var[g(X)], we can determine the value of σg(X) to three decimal places as needed.

Learn more about variance here:

https://brainly.com/question/13708253

#SPJ11

Answer:

n³ - 7

Step-by-step explanation:

n³ - 7

The required expression for the 7 subtracted from the cube of a number is x³- 7.

Given that,
A string of statements is given,
Here, we have to transform the statement, 7 is subtracted from the cube of a number into a mathematical inscription.

Arithmetic, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

A mathmetical expression is formulated structure of a statement using variables.

Let the number be x,
Now 7 subtracted from the cube of number x
= x³ - 7

Thus, the required expression for the 7 subtracted from the cube of a number is x³- 7.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

( B ) lng = 5

Step-by-step explanation:

Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

To learn more about trigonometric function visit:

brainly.com/question/25618616

#SPJ11

Answer:

Step-by-step explanation:

So first of all, you can rearrange your equations:

4x + 7x = 11 can be rearranged and simplified to x = 11/7

x = y + 1 can be rearranged to y = x - 1

Then you can graph them like normal by plugging in points. It should look like the following picture

Answer:

Step-by-step explanation:

correct one is b

Answer:

y=3/4x-1 or 4y+-3x=-4

Step-by-step explanation:

If the line is (4,2) and (0,-1) then you have to first find the slope (rise-over-run) which is 3/4. The y-intercept is -1.

y=mx+b

Slope-Intercept Form:

y=(slope)x+(y-intercept)

so,

y=(3/4)x-1

Standard Form:

4y+-3x=-4

Money market mutual funds provide attractive competition for bank deposits because they offer potentially higher returns and greater flexibility compared to traditional bank savings accounts.

Money market mutual funds invest in short-term, low-risk securities such as Treasury bills, certificates of deposit, and commercial paper, aiming to provide a higher yield than standard savings accounts. These funds typically offer competitive interest rates and may have lower fees compared to traditional banking products. Additionally, money market mutual funds often allow investors to access their funds easily and quickly, providing greater liquidity and flexibility compared to bank deposits. This combination of potentially higher returns, lower fees, and greater flexibility makes money market mutual funds an appealing alternative for individuals seeking to maximize their returns on short-term investments.

To know more about Money market mutual funds,

https://brainly.com/question/29803247

#SPJ11

Answer:

Where's the grid?

Step-by-step explanation:

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

To know more about unnormalized relation click this link -

brainly.com/question/30888382

#SPJ11

Step-by-step explanation:

option D is correct answer

Answer:

C

Step-by-step explanation:

\(\text{Plug} ~(x,y) = ( 2,0)~ \text{in both equations.}\\\\3*0 = 2-2\implies 0=0\\\\0 = -2(2) +4 \implies 0=0\\\\\text{Hence x =2 and y =0.}\)

We have the iterated integral:

∫

�

=

0

2

∫

�

=

1

5

5

(

�

+

�

)

(

2

−

�

2

)

�

�

�

�

∫

y=0

2

​

∫

x=1

5

​

5(x+y)(2−y

2

)dxdy

To convert this to polar coordinates, we need to express $x$ and $y$ in terms of $r$ and $\theta$. Since the region of integration is defined by $0 \leq y \leq 2$ and $1 \leq x \leq 5$, we see that $1 \leq r \leq 5$ and $0 \leq \theta \leq \pi$. Then we have:

�

=

�

cos

⁡

�

and

�

=

�

sin

⁡

�

x=rcosθandy=rsinθ

The Jacobian of the transformation is $\frac{\partial(x,y)}{\partial(r,\theta)} = r$, so we have:

\begin{align*}

\int_{y=0}^{2} \int_{x=1}^{5} 5(x+y)(2-y^2) ,dx,dy &= \int_{\theta=0}^{\pi} \int_{r=1}^{5} 5(r\cos \theta + r\sin \theta)(2 - r^2\sin^2 \theta) ,r,dr,d\theta \

&= \int_{\theta=0}^{\pi} \int_{r=1}^{5} 10r^2\cos \theta ,dr,d\theta + \int_{\theta=0}^{\pi} \int_{r=1}^{5} 10r^2\sin \theta \cos \theta ,dr,d\theta \

&\quad + \int_{\theta=0}^{\pi} \int_{r=1}^{5} 5r^3\sin \theta ,dr,d\theta - \int_{\theta=0}^{\pi} \int_{r=1}^{5} 5r^5\sin^3 \theta ,dr,d\theta \

&= \int_{\theta=0}^{\pi} \left[ \frac{10}{3}r^3\cos \theta \right]{r=1}^{r=5} ,d\theta + \int{\theta=0}^{\pi} \left[ \frac{5}{2}r^3\sin^2 \theta \right]{r=1}^{r=5} ,d\theta \

&\quad + \int{\theta=0}^{\pi} \left[ \frac{5}{4}r^4\sin \theta \right]{r=1}^{r=5} ,d\theta - \int{\theta=0}^{\pi} \left[ \frac{5}{6}r^6\sin^4 \theta \right]{r=1}^{r=5} ,d\theta \

&= \int{\theta=0}^{\pi} \frac{1240}{3}\cos \theta + \frac{60}{2}\sin^2 \theta + \frac{155}{4}\sin \theta - \frac{2480}{6}\sin^4 \theta ,d\theta \

&= \left[ \frac{1240}{3}\sin \theta - \frac{60}{2}\frac

Learn more about integral at: brainly.com/question/31433890

#SPJ11

Answer:

C

Step-by-step explanation:

Answer:

C     (20.25)

Step-by-step explanation:

Formula = A=\(\frac{c^2}{4\pi }\)

A=\(\frac{9^2}{4\pi }\)

A=81/4pi

Area=20.25\(\pi\) meters

Answer:

Set your calculator to Degree mode.

The measure of angle O is 56°.

tan(34°) = ON/12

NO = 12tan(34°) = 8.09 cm

cos(34°) = 12/MO

NO = 12/cos(34°) = 14.47 cm

Answer:

2st

Step-by-step explanation:

because only 34 can be divided by 17 and there arent enough of s and ts

Answer:

B) 1/44

3/22 divided by 6 = 0.022727...

0.022727 as a fraction is 1/44.

Step-by-step explanation:

Hope it helps! =D

Answer:

x ≈ 4.8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle measure = 58°

Adjacent side of angle = x

Hypotenuse = 9

Step 2: Solve for x

Answer:

if you have the answer then wha.

Step-by-step explanation:

Answer:

\(-\frac{20}{3}\)

Step-by-step explanation:

\(R=9x+8y\\\\4=9x+8(8)\\\\9x+8(8)=4\\\\9x+64=4\\\\9x+64-64=4-64\\\\9x=-60\\\\\frac{9x=-60}{9} \\\\x=-\frac{60}{9}=\boxed{-\frac{20}{3}}\)

Hope this helps.

Answer:

rational numbers

Step-by-step explanation:

all numbers are rational, but not all numbers are integers or whole numbers.

Answer:

Step-by-step explanation:

a-6

b-165-240

c-165

d-182 and 152

e-174