Working together, two pumps can drain a certain pool in 3 hours. If it takes the older pump 9 hours to drain the pool by itself, how
long will it take the newer pump to drain the pool on its own?
Do not do any rounding.

When testing partial correlation, the impact of a third variable is removed.

Partial correlation is a statistical technique used to measure the relationship between two variables while controlling for the effect of one or more additional variables, known as "covariates" or "control variables." By removing the effect of the covariates, the partial correlation measures the direct relationship between the two variables of interest. This technique is useful when we want to examine the relationship between two variables after accounting for the effect of one or more confounding variables.

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Answer:

129 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The measure of angle PST 129 degrees after applying the properties of the triangle.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

The triangle is shown in the picture.

The equation can be made:

5x - 9 = (180 - (11x - 3))

5x + 11x = 180 + 3 + 9

16x = 192

x = 192/16 = 12

The measure of angle PST = 11x - 3

= 11(12) - 3

= 129 degrees

Thus, the measure of angle PST is 129 degrees after applying the properties of the triangle.

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Answer:

12 degrees

Step-by-step explanation:

Answer:

The description that matches the translation of the equation y = |x - 5| + 2 is "Moves 5 units to the right and 2 units up".

This is because the equation involves the absolute value of the quantity (x - 5), which means that the expression inside the absolute value bars will always be positive or zero. This means that the graph of the equation will be a "V" shape, centered at x = 5, and opening upwards. The "+2" outside the absolute value bars indicates that the entire graph will be shifted upward by 2 units.

Therefore, the graph of the equation y = |x - 5| + 2 will be obtained by taking the graph of y = |x|, shifting it 5 units to the right to obtain y = |x - 5|, and then shifting it 2 units up to obtain y = |x - 5| + 2.

Step-by-step explanation:

pa brainliest pls

Answer:

2.

a. 13

b. 7

c. 24

d. 85

Step-by-step explanation:

The cost price that was used to get the book is: R.S 172

The parameters given are:

Marked Price: M.P = RS. 250

Discount allowed = 10%

The formula to find the selling price here will be:

S.P = M.P * (100 - Discount)/100

Thus:

S.P = 250 * (100 - 14)/100

S.P = 250 * 0.86

S.P = R.S 215

Since the profit is 25%, then we have:

Cost Price = (S.P * 100)/(100 + Gain%)

Cost price = (215 * 100)/(100 + 25)

Cost Price = 21500/125

Cost price = R.S 172

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The given polynomial : 14x² +9x-5

To factorize:

Answer : 14x² +9x-5 = (14x-5)(x+1)

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The general solution of the damped spring-mass system with the given parameters is y(t) = e^(-t/2) [c1cos((√7/2)t) + c2sin((√7/2)t)]. By applying the initial conditions y(0) = 1 and y'(0) = 0, the specific solution can be obtained as y(t) = (2/7)e^(-t/2)cos((√7/2)t) + (3/7)e^(-t/2)sin((√7/2)t).

The equation for the damped spring-mass system can be expressed as my'' + cy' + ky = 0, where m is the mass, c is the damping coefficient, and k is the spring constant. In this case, m = 1 kg, c = 3 kg/s, and k = 2 kg/\(s^2\).

To find the general solution, we assume a solution of the form y(t) = e^(rt). By substituting this into the equation and solving for r, we get \(r^2\) + 3r + 2 = 0. Solving this quadratic equation gives us the roots r1 = -2 and r2 = -1.

The general solution is then given by y(t) = c1e^(-2t) + c2e^(-t). However, since we have a damped system, the general solution can be rewritten as y(t) = e^(-t/2) [c1cos((√7/2)t) + c2sin((√7/2)t)], where √7/2 = √(3/4).

By applying the initial conditions y(0) = 1 and y'(0) = 0, we can solve for the coefficients c1 and c2. The specific solution is obtained as y(t) = (2/7)e^(-t/2)cos((√7/2)t) + (3/7)e^(-t/2)sin((√7/2)t). This satisfies the given initial value problem.

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The probability of selling more than 3 properties in one week is 0.4044.

This is a binomial probability problem, where the number of trials is the number of properties shown (17) and the probability of success is 0.40 (the chance of selling any one property).

Let X be the random variable representing the number of properties sold in a week. We want to find P(X ≤ 3).

Using the binomial probability formula, we have:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

where

P(X = k) = (\(^{n}C_k\)) × \(p^k\) × \((1-p)^{(n-k)}\)

where n is the number of trials, p is the probability of success, and (n choose k) is the number of ways to choose k successes from n trials.

Plugging in the values, we get:

P(X ≤ 3) = (\(^{17}C_0\)) × \(0.4^0\) × \(0.6^{17}\) + (\(^{17}C_1\)) × \(0.4^1\) × \(0.6^{16}\) + (\(^{17}C_2\)) × \(0.4^2\) × \(0.6^{15}\) + (\(^{17}C_3\)) × \(0.4^3\) × \(0.6^{14}\)

Using a calculator or software, we get:

P(X ≤ 3) ≈ 0.4044

Rounding to four decimal places, the probability of selling no more than 3 properties in one week is 0.4044.

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Answer:

B.

Step-by-step explanation:

it sounds about right to me. I'm not the best with math

Answer:

C

Step-by-step explanation:

∠ 5 and ∠ 8 are adjacent angles and are supplementary, sum to 180° , then

∠ 8 + ∠ 5 = 180°

∠ 8 + 45° = 180° ( subtract 45° from both sides )

∠ 8 = 135° → C

Answer:

30

Step-by-step explanation:

dollers bc if kate has k dollers a pack of gum is for 30

Answer:

We will need to shade the region above f(x) and the region below the function g(x).

How to transform the graph into the solution set?

We have:

f(x) = x^2 - 1

g(x) = -x^2 + 4

Both of these are already graphed, and we want to transform it into:

y > f(x)

y ≤ g(x)

The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x).

For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve.

The asked net for the cube of side length 2 cm has been shown.

The surface area is defined as a region of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
The cube of side length 2 cm is given we have to draw the net for the given cube.

So first we calculate the surface area,

surface area of the cube  = 6 [a]²
surface area = 6 (2)² = 24 cm²

Here, as the cube has 6 faces, unbind the cube on the coordinate plate.

Thus. the required net for the cube has been shown.

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The colored chips they used to represent each vacation option are:

Hawaii:  14 blue chips

New York: 10 yellow chips

California: 10 red chips

Alaska: 6 green chips

The radio station awarded 40 different colored chips to 100% winners.

To know how many colored chips should they use to represent each vacation option the following steps are taken:

Hawaii = ( 35/100) × 40

= 14 blue chips

New York = (25/100) ×40

= 10 yellow chips

California = (25/100)  ×40

= 10 red chips

Alaska = (15/100)  × 40

= 6 green chips

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A) The second equation is 2x - 4y +20=0, this system has no solutions.

B) The second equation is  x-2y-11=0, this system has infinite number of solutions.

An equation is a mathematical formula that expresses the equality of two expressions by connecting them with the equals sign =. The term equation and its cognates in various languages may have subtle changes in meaning.

Solving an equation with variables includes determining which variables' values result in equality. The variables for which the equation must be solved are also known as unknowns, and the unknown values that satisfy the equality are known as equation solutions. There are two sorts of equations: identities and conditional equations. An identity holds true for all variable values.

Given equation is,

2x - 4y = 22

A) Let the second equation be

2x - 4y +20=0

∴a₁/a₂=1

b₁/b₂=1

c₁/c₂=-11/10

Therefore, a₁/a₂=b₁/b₂≠c₁/c₂

Hence, the system has no solution.

B) Let the second equation be,

x-2y-11-0

Therefore,  a₁/a₂=b₁/b₂=c₁/c₂=2/1

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Answer:

-739 m

Step-by-step explanation:

1287+2039=3326

3326-4165=0739

The square of given expression √1 ( square root of 1 ) is equal to 1.

As given in the question,

Given expression is equal to √1 ( square root of 1 )

To calculate the square of √1 we have,

Let us consider variable x is equal to √1

x = √1

Now take square on both the sides of the given expression we get,

x² =  (√1 )²

⇒ x² = √1  × √1

Multiplying square root of 1 to square root of 1 is equal to 1 we get,

or use law of exponent :

√1 × √1 = \(1^{\frac{1}{2} + \frac{1}{2} }\)

            = 1

⇒ x² = 1

Therefore, the square of the given expression √1 ( square root of 1 )is equal to 1.

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Answer:

-270 is the smallest negative possible angle.

Step-by-step explanation:

Cotrrminal Angle have been period of 360 degrees.

Since we won't it to be negative, we subtract 360.

\(90 - 360 = - 270\)

We can keep going infinitely if we want to.

\( - 270 - 360 = - 630\)

Or so on...

Answer:

4/12

Step-by-step explanation:

i am not good at this but i will try☺

Answer:

30%

Step-by-step explanation:

To find the percentage of something we decide the amount of things we want to find the percentage off by the total amount of things and then multiply the product by one hundred.

Apple: 4

Total fruit: 12

So,

4/12 = 0.3

The percentage of apples:

30%

Answer:

a

Step-by-step explanation:

Move 6 to the right by subtracting 6 to both sides of <

7x<4x+18

Now move 4x to the left by subtracting 4x to both sides of <

3x<18

Now divide 3 by both sides of < to solve for x

x<6

Answer:

x=7

Step-by-step explanation:

4(5x-2)=2(9x+3) do everything in the parentheses

20x-8=18x+6

+8 +8

20x=18x+14
get X by itself by adding same terms

20x=18x+14

-18x -18x

2x=14 divide

/2 /2

X=7

If we standarize the variable x, we get:

doing this inside the probability, we get the following:

therefore, the probability is 0.97

Answer:

-1 and 6 are x intercepts, -4 is y-intercept, -8 is vertex and -2 is axis of symmetry

Answer:

anddddd i just realized i answered the question wrong, the guy above me is correct. good luck.

1/1/3 i do not know i looked it up

The area of the figure is the amount of space on it, and the calculated area is 48.6 square feet

The figure is a triangle with the following parameters:

Base = 20

Height = 4.86

The area of a triangle is:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * 20 * 4.86

Evaluate

Area = 48.6

Hence, the calculated area is 48.6 square feet

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Answer:-2/9

Step-by-step explanation:i got right on the test

The value of the expression is -2/9.

The correct option is "negative two-ninths."

Given expression:

Negative one-sixth times the quantity 3 minus 15 times the quantity one-third squared.

First, calculate one-third squared:

(1/3)² = 1/3 x 1/3

          = 1/9

Next, substitute this value back into the original expression:

= (1/6) x (3 - 15 x (1/9))

Now, simplify the expression inside the parentheses:

= (1/6) x (3 - 15/9)

= (1/6) x (3 - 5/3)

Now, find the common denominator to subtract the fractions:

= (1/6) x ((9/3) - (5/3))

= (1/6) x (4/3)

Now, multiply the fractions:

= -(4/18)

Next, simplify the fraction:

= -(2/9)

So, the final answer is -2/9.

Therefore, the correct option is "negative two-ninths."

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Step-by-step explanation:

1. 11 to the power of 16 x 11 to the power of 1

2. a to the power of 6 x a to the power of 8

3. (-2) to the power of 12 x (-2) to the power of 1

4. 1.1 to the power of 7 x 1.1 to the power of 9

5. 3 to the power of 4 x 5 to the power of 2

Assumed it is both 3 or 5, we take 3

The Excel function =40*RAND() generates random numbers between 0 and 40.

Since the RAND() function in Excel produces random numbers uniformly distributed between 0 and 1, multiplying it by 40 scales the range to 0 to 40.

The standard deviation of a uniform distribution with range a to b is given by (b - a) / sqrt(12). In this case, a = 0 and b = 40.which simplifies to approximately 11.55.

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