A triangular prism has a base edges 2cm, 4cm, and 5cm long. It’s lateral area is 231cm . What is the height of the prism

Answer:

5 + 5 = 10

10 + 10 = 20

20 + 20 = 40

40 + 40 = 80

80 is the answer.

Since the mode is the most frequently occurring data value so -

Option D : None of the alternatives is correct.

What is mode?

A mode is described as the value in a group of values that occurs more frequently. The value that appears the most frequently is called mode.

The distribution of the mean, median, and mode values will depend on how skewed the distribution is.

The total dependency of mean, median and mode of data is on the asymmetric form of the data.

As a result, mean or mode may be larger than or less than mode.

Therefore, the mode is neither large than mean or median and can never be larger than mean.

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Answer:

c

Step-by-step explanation:

I said so and I did maths

Answer:

The answer is A.

Step-by-step explanation:

Took it on Edge (:

Answer:

Step-by-step explanation:

It's 271 on Khan Academy

The sample space size that Angela wants to use for the employees who are satisfied with their benefits is. 271

In statistics, the margin of error is the level of inaccuracy in the findings of surveys using random samples. Less reliance on survey or poll results is indicated by higher statistical margins of error.

Given that,

\(\^p\) = 0.5

1 - \(\^p\)  = 1 - 0.5= 0.5

margin of error = E = 5% = 0.05

At 90% confidence level

= 1 - 0.90 = 0.10

0.10/2 =0.05

Z/2 = 1.645 ( Using z table )

Sample size = n = (Z/2 / E)² x   (1 - \(\^p\))²

= (1.645 / 0.05)² * 0.5 x 0.5

=270.6

Sample size = 271

The required sample size is 271.

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Answer:

-2

Step-by-step explanation:

This is the steepness of the line.

Take 2 points (0,5) and (1,3).  If you start at (0,5) you would move down 2 and right one to get to point (1,3)

-2/1 = -2

Helping in the name of Jesus.

Answer: Gradient = -2

Step-by-step explanation:

Gradient = \(\frac{y2-y1}{x2-x1}\)

We take to point on the line (1, 3), (2, 1)

=> gradient = \(\frac{1-3}{2-1}\) = -2

The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

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The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

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Critical value of t for testing the significance of each of the independent variable's coefficients will have 90 degree of freedom.

We are given the following parameters or data or information

"A regression analysis involved 8 independent variables", " 99 observations. "

Number of observations = 99

Number of independent variables = 8

In regression, the critical value t for testing the significance of variable's coefficients has the number of degrees of freedom formula which is (number of observations) - (number of independent variables + 1).

To determine the critical value of t for testing the significance of each of the independent variable's coefficient.

Hence, the formula below will used in Calculating or in the determination of the degree of freedom;

Degree of freedom = (number of observations) - (number of independent variables + 1).

Thus, slotting bin the values into the formula above, we have;

The degree of freedom = 99 - (8 +1) = 90.

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a) The initial linear momentum of the object is 1500 kg*m/s.

b) The final momentum of the object is 500 kg*m/s.

c) The impulse exerted on the object is -1000 kg*m/s.

d) The average force exerted on the object is -200000 N.

Momentum is defined as the product of an object's mass and velocity. Therefore, the initial linear momentum of the object can be calculated as:

Initial momentum = mass * initial velocity = 50 kg * 30 m/s = 1500 kg*m/s

The final momentum of the object can be calculated similarly:

Final momentum = mass * final velocity = 50 kg * 10 m/s = 500 kg*m/s

Impulse is defined as the change in momentum of an object. Therefore, the impulse exerted on the object can be calculated as:

Impulse = final momentum - initial momentum = 500 kg*m/s - 1500 kg*m/s = -1000 kg*m/s

Force is defined as the product of mass and acceleration. Since impulse is also equal to the product of force and time, we can rearrange the equation to solve for force:

Force = Impulse / time = -1000 kg*m/s / 0.005 s = -200000 N

Therefore, the average force exerted on the object is -200000 N.

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The area of a parallelogram is given by the formula:

$\sf\implies{\boxed{A = bh}}$

where $b$ is the length of the base and $h$ is the height.

In this case, the base is 36 inches and the height is 45 inches, so the area of the parallelogram is:

$\sf\implies\:A = bh = 36 \cdot 45 = 1620$

Therefore, the area of the parallelogram-shaped window is 1620 square inches.

\(\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}\)

\(\textcolor{lime}{\small\textit{If you have any further questions, feel free to ask!}}\)

\({\bigstar{\underline{\boxed{\sf{\color{red}{Sumit\:Roy}}}}}}\\\)

Answer:

1620 inches ^2

Step-by-step explanation:

The area of a parallelogram is simply put as:

A=bh

where b is base and h is height

Given b is 36 and 45 is our h, we can now solve for the area.

A=(36)(45)

A=1620

Friendly reminder:

When multiplying two of the same units, remember to square them to have the correct labeling, so in conclusion, our answer is:

1620 inch.^2

Answer:

the answer is 14 I pinkie promise!

Answer: 2 times larger.

Step-by-step explanation:

Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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The value of function f (x) is,

⇒ F (x) = 4x⁴ + 7x² + 7x - 22

We have to given that;

Function is,

⇒ F' (x) = 16x³ + 14x + 7

Now, We get;

Integrate both side;

F (x) = 16 x⁴ / 4 + 14x²/2 + 7x

F(x) = 4x⁴ + 7x² + 7x + c

Since, F (1) = - 5

Hence,

F (x) = 4 (1)⁴ + 7 (1)² + 7 (1) + c

- 5 = 4 + 7 + 7 + c

c = - 22

Thus, The function f (x) is,

⇒ F (x) = 4x⁴ + 7x² + 7x - 22

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Answer:

(x, y) = (-8, 19)

Step-by-step explanation:

9x + 3y = -15

-4x - 3y = -25

(9x + 3y) + ((-4x) - 3y) = -15 + (-25)

5x = -40

x = -8.

So,

9x + 3y = -15

9 * (-8) + 3y = -15

-72 + 3y = -15

3y = 57

y = 19

x = 5

The line shown has undefined slope, or y-intercept.

The graphs of x = to some number are always straight up and down.

The graphs of y = to some number are always straight across left and right.

Hope this helps

:)

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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Answer:

x=

Step-by-step explanation:



3x+4=10

3x=10-4

3x=6

X=

Answer: 2

Step-by-step explanation: Soustrayez 4 4 des deux côtés de l'équation. Soustrayez 4 4 de 10 10 . Divisez chaque terme en 3x=6 3 x = 6 par 3 et simplifiez. Divisez chaque terme en 3x=6 3 x = 6 par 3 3.

Census data available at the United States Census Bureau website is an example of public information.

Census data is collected by the government and is intended to provide statistical information about a population. It is considered public information because it is made available to the general public for research, analysis, and decision-making purposes.

The United States Census Bureau collects and publishes census data to ensure transparency and accessibility to a wide range of users, including policymakers, researchers, businesses, and the general public.

This data helps inform various aspects of society, such as planning public services, determining representation, and studying demographic trends. It is important to note that while individual responses to the census are confidential and protected by law, aggregated census data is made public to benefit society as a whole.

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Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

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Answer:

5 feet away

Step-by-step explanation:

i am not sure but did mental math

Answer:

I got 5/16 as my answer

Step-by-step explanation:

I used a calculator to solve the equation :/

Answer:

it's is the second one bc I did that be fired

Hey there!☺

\(Answer:\boxed{a=19}\)

\(Explanation:\)

\(-4(10-a)=36\) Equation

−4(10 − a) = 36  Simplify both sides

(−4)(10) + (−4)(−a) = 36 Distribute

−40 + 4a = 36

4a − 40 = 36

4a - 40 + 40 = 36 + 40 Add 40 to both sides

4a = 76

4a/4 = 76/4 Divide both sides by 4

76/4 = 19 Simplify 76/4

a = 19

Hope this helps!

Answer:

(0, 4)

Step-by-step explanation:

The y-intercept is the y-value when x = 0.

From the graph, we see that when x = 0, y = 4.

If angle BDC is -3+20° and CDA is -2x+55° then the angle BDC will be 29°.

Given that angle BDC is -3+20° and CDA is -2x+55°.

We are required to find the angle BDC.

Angle is basically degree of inclination of something on the surface.

From the given figure we can say that the sum of angle BDC and angle CDA is equal to 90 degrees.

Angle BDC+Angle CDA=90

We have to put the respective expressions in the above equation.

-3x+20-2x+55=90

-5x+75=90

-5x=90-75

-5x=15

x=-3

BDC=-3x+20

=-3*(-3)+20

=9+20

=29°

Hence if angle BDC is -3+20° and CDA is -2x+55° then the angle BDC will be 29°.

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The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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