will give brainlest 5 stars and thanks

Answer:

A width of 3 and a length of 9

Step-by-step explanation:

To solve this problem, we're going to have to create an equation. So, let's call the width w. The length of the rectangle is three times the width, so the length will be 3w. The total area is 27, and the length times the width must equal the area, so this gives us the following equation:

w(3w) = 27

Let's simplify and start solving.

3w² = 27

3w²/3 = 27/3

w² = 9

√w² = √9

w = 3

Remember, we defined w as the width. So, the width of the rectangle is 3. The length is 3w, or three times the width, so the length must be 9. And these are our dimensions: 3 × 9.

Answer:

Mixed fraction: -10 2/5

Step-by-step explanation:

-10.4 = -10 4/10, simplify to -10 2/5

The correct answer is c. hypothesized population proportion. In tests about a population proportion, p0 (pronounced as "p-naught") represents the hypothesized population proportion.

Which is the proportion of individuals in the population who possess a particular characteristic or exhibit a particular behavior. The hypothesized population proportion is typically derived from prior knowledge or information about the population or based on theoretical considerations.

It is used as a reference value to compare against the sample proportion (phat) to determine whether there is evidence of a statistically significant difference between the sample and population proportions.

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The equation of the tangent plane to the surface z = ln(x - 3y) at the point (4, 1, 0) is x - 3y - 1 = 0.

To find the equation of the tangent plane to the surface given by z = ln(x - 3y) at the point (4, 1, 0), we can use the gradient.

The gradient of a function gives the direction of the steepest ascent at any point on the surface. The gradient vector at a point (x, y, z) is given by:

∇f(x, y, z) = (∂f/∂x, ∂f/∂y, ∂f/∂z)

In this case, the function is f(x, y, z) = ln(x - 3y). Taking partial derivatives:

∂f/∂x = 1 / (x - 3y)

∂f/∂y = -3 / (x - 3y)

∂f/∂z = 0

Evaluating the partial derivatives at the point (4, 1, 0):

∂f/∂x = 1 / (4 - 3(1)) = 1 / 1 = 1

∂f/∂y = -3 / (4 - 3(1)) = -3 / 1 = -3

∂f/∂z = 0

Therefore, the gradient vector at the point (4, 1, 0) is ∇f(4, 1, 0) = (1, -3, 0).

Now, we can find the equation of the tangent plane using the point-normal form of a plane. The equation of the plane is:

(x - x0, y - y0, z - z0) · ∇f(x0, y0, z0) = 0

Substituting the values, we have:

(x - 4, y - 1, z - 0) · (1, -3, 0) = 0

Simplifying this equation, we get:

(x - 4) - 3(y - 1) = 0

x - 4 - 3y + 3 = 0

x - 3y - 1 = 0

Therefore, the equation of the tangent plane to the surface z = ln(x - 3y) at the point (4, 1, 0) is x - 3y - 1 = 0.

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Answer:

y = -x + 3

Step-by-step explanation:

The line is going down so the slope will be NEGATIVE

The line starts at (0, 3) which means the y-intercept is 3

The slope is -1 or -x

0.5 is the probability that a student ordered a hamburger and a slurpee, in the school cafeteria where students are ordering food and beverage.

Marginal total of hamburger=7+19+12= 38

Total no. of students who ordered hamburger and slurpee= 19

Total 157 students out of which 38  ordered a hamburger.

We can see that 28 of the total students order pizza as well as soda.

The probability that a student also ordered a soda is given as =

Number of Students who ordered hamburger and slurpee/Total number of students who ordered a hamburger

=19/38

=0.5

The probability that a student ordered a hamburger and a slurpee is 0.5.

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There are 20 different combinations of committees that can be formed since no person can serve on more than one committee.

In order to form committees of 4, 3, and 2 people, we must first determine how many combinations are possible. There are 9 people in total, so the first committee must consist of 4 people. That leaves 5 people. The second committee must consist of 3 people, leaving 2 people for the final committee. To calculate the total number of combinations, we must multiply the number of choices for each committee. For the first committee, there are 9C4 combinations, for the second committee there are 5C3 combinations, and for the third committee there are 2C2 combinations. Multiplying these together, we obtain 9C4 x 5C3 x 2C2 = 20 combinations. Therefore, there are 20 different combinations of committees that can be formed since no person can serve on more than one committee.

The complete question: A group of 9 people is going to be formed into committees of 4, 3, and 2 people. How many can be formed if no person can serve on more than one committee?

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Answer:

40

Step-by-step explanation:

Remark

This is just an ordinary Pythagorean Problem.

a = 32

b = 24

c = ?

Distance

a^2 + b^2 = c^2

32^2 + 24^2 = c^2

1024 + 576 = c^2

c^2 = 1600

√c^2 = √1600

c = 40

c =  40 The distance the trains are apart is 40 km

Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

The experimental probability of landing on a number greater than 4 is 18/60

The experimental probability will be given by the number of times that the outcome was greater than 4 (so a 5 or a 6) over the total number of trials.

We can see that the total number of trials is 60, and we have:

The outcome 5 a total of 10 times.

The outomce 6 a total of 8 times.

Adding these values we will get 10 + 8 = 18

Then the experimental probability of a number greater than 4 is:

E = 18/60

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Answer:

5y+45

Step-by-step explanation:

Answer: 40.82

Step-by-step explanation:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi).

13 * 3.14 = 40.82

This may be wrong, but I found this on the internet

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answer:

7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.

Step-by-step explanation:

These are the two conditions required for performing a t test

- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.

- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.

- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.

While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.

Answer:

$40 average

Step-by-step explanation:

500-300=200

200/5=40

Answer:

-3

Step-by-step explanation:

4x+1=2x-5

Get x on one side by subtracting 2x

2x+1=-5

Get x alone by subtracting 1

2x=-6

Simplify by dividing by 2

X=-3

Answer: x=-3

Step-by-step explanation: Pic is Attached. Hope this helps.

Answer:

y = -1/2x

Step-by-step explanation:

y - 1 = -1/2 (x + 2)

y - 1 = -1/2x - 1

y = -1/2x

Answer:

-6x-10y

Step-by-step explanation:

Multiply -2 by everything in parenthesis

The quadratic regression line for the given data set is y = 0.000143*x**2 - 0.128714*x + 41.726305, which is the required solution. Load the data and use the polyfit function to fit a quadratic regression line.

To determine the quadratic regression for the data set below: (200,4.5),(250,5.4),(300,6.2),(350,7.6),(400,8),(450,9.7).

First, load the given data set. Here, the data is loaded as: x = [200, 250, 300, 350, 400, 450]y = [4.5, 5.4, 6.2, 7.6, 8, 9.7]

Next, use the polyfit function with the input argument of 2 to fit a quadratic regression line for the given data set as shown below:

p = n p.polyfit(x,y,2)

Here, p is the array of the coefficients of the quadratic regression line. The order of the coefficients in the array is from the highest degree to the lowest degree.

Hence, the quadratic regression line can be determined as:

y = p[0]*x**2 + p[1]*x + p[2]

Substituting the values of the coefficients obtained from the above equation as below:

y = 0.000143*x**2 - 0.128714*x + 41.726305

Thus, the quadratic regression line for the given data set is: y = 0.000143*x**2 - 0.128714*x + 41.726305, which is the required solution.

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Answer:

Given That:

\({ \large\longrightarrow { \rm{z = {x}^{2} + {y}^{2} }}}\)

Partial differentiating both sides with respect to x, we get:

\({ \large\longrightarrow { \rm{ \frac{∂z}{∂x} = 2x}}}\)

Partial differentiating again with respect to x, we get:

\({ \large\longrightarrow {{ \rm{ \frac{ {∂}^{2}z }{∂ {x}^{2} } \: = 2 \: \: \: \: \quad -(i) }}}}\)

Consider again:

\({ \large\longrightarrow {{ \rm{ z = {x}^{2} + {y}^{2} }}}}\)

Partial differentiating both sides with respect to y, we get:

\({ \large\longrightarrow { { \rm{ \frac{∂z}{∂y} = 2y}}}}\)

Now, partial differentiating both sides with respect to x, we get:

\({ \large\longrightarrow{ \rm{ \frac{ {∂}^{2}z }{∂x \:∂y } = 0 \: \: \: \quad - (ii) }}}\)

Consider again:

\({ \large\longrightarrow { \rm{ \frac{∂z}{∂y} = 2y}}}\)

Partial differentiating both sides with respect to y, we get:

\({ \large\longrightarrow{ \rm{ \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2 \: \: \: \: \: \quad - (iii) }}}\)

Now, consider Left Hand Side, we get:

\({ \large{ \rm{ \longrightarrow {x}^{2} \frac{ {∂}^{2}z }{∂ {x}^{2} } + 2xy \frac{ {∂}^{2} x}{∂x \:∂y } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } }}}\)

From Equation (i),(ii) and (iii), we can write:

\(\longrightarrow{ \large{ \rm{ {2x}^{2} + 0 + {2y}^{2} }}}\)

\(\longrightarrow \: { \large{ \rm{2( {x}^{2} + {y}^{2} ) }}}\)

\(\longrightarrow{ \large{ \rm{2z}}}\)

Therefore,

\({ \large{\longrightarrow \: { \rm{{x}^{2} \frac{ {∂}^{2} z}{∂ {x}^{2} } + 2xy \frac{ {∂}^{2}x }{∂x \:∂y } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2z }}}}\)

Hence Proved!!

\( \: \)

\(\boxed{\begin{array}{c|c}\bf f(x)&\bf\dfrac{d}{dx}f(x)\\ \\ \frac{\qquad\qquad}{}&\frac{\qquad\qquad}{}\\ \sf k&\sf0\\ \\ \sf sin(x)&\sf cos(x)\\ \\ \sf cos(x)&\sf-sin(x)\\ \\ \sf tan(x)&\sf{sec}^{2}(x)\\ \\ \sf cot(x)&\sf-{cosec}^{2}(x)\\ \\ \sf sec(x)&\sf sec(x)tan(x)\\ \\ \sf cosec(x)&\sf-cosec(x)cot(x)\\ \\ \sf\sqrt{x}&\sf\dfrac{1}{2\sqrt{x}}\\ \\ \sf log(x)&\sf\dfrac{1}{x}\\ \\ \sf{e}^{x}&\sf{e}^{x}\end{array}}\)

Refer to the attachments for answer

The observational unit in this context is the student. The correct answer is option b.

An observational unit is the entity or object that is being observed or measured in a study. In this case, the study is examining the relationship between pulling an all-nighter and GPA, so the unit of observation is the individual student.

The researcher is conducting the study, but is not the entity being observed. Similarly, GPA is a variable being measured and is not the unit of observation.

The variable of interest in this study is whether or not the student has pulled an all-nighter, but again, it is the student who is the unit of observation, since the study is examining how this variable is related to GPA at the individual level.

The correct answer is option b.

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The correct option H0: µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

Paired testing, commonly referred to as auditing, is a practical and easy technique to determine whether and how discrimination is present.

Thus, µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

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The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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Answer:

15) surface area = 791.68, volume = 1693.32

16) surface area = 138.23, volume = 113.1

17) surface area = 650.87, volume = 1073

18) surface area = 34.87, volume = 10.52

19) surface area = 153.94, volume = 179.59

20) surface area = 314.16, volume = 523.6

Step-by-Step Explanation:

sorry I didn't add the cm or inches or km in my answers :)

Answer:

they can help by finding answers faster like a calculator.

Step-by-step explanation:

Answer:

Part A). 25 feet

Part B). 16.25 feet

Step-by-step explanation:

Part A). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

            AC² = (24)² + 7²

            AC² = 576 + 49

            AC = √625

                  = 25 feet

Part B). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

           (25)² = (19)² + x²

           625 = 361 + x²

           x² = 625 - 361

           x = √264

           x = 16.25 feet

Step-by-step explanation:

selling price after 15%discount

=12000-(15/100)*12000

=12000-1800

=10200

after 10% VAT

S.P=110% of 10200

=(110/100)*10200

=11220

Answer:

2^6 x 3^3 and 12^3

Step-by-step explanation:

First, solve

6^3 x 2^6/2^3

216 x 64/8

13824/8 = 1728

lets solve for the answers

6^3 = 216

Therefore, 6^3 is not an answer

2^6 x 3^3= 64 x 27 = 1728

because both expressions are equal to 1728, this is an answer. this answer can also eliminate 2^3 x 3^3 because it has a lower exponent than the answer that is equal to 1728. therefore, the value of it must be smaller than 1728

12^3 = 1728

This answer is correct, because both values are equal to each other, meaning that 12^6 is larger than 1728  

Therefore, your answers will be 2^6 x 3^3 and 12^3          

Answer:

32 black grapes

Step-by-step explanation:

24 green grapes

3:4

24÷3=8

8×4=32

there are 32 grapes