What is the volume, in cubic inches, of a rectangular prism with a height of 6 inches, a width of 18 inches, and a length of 10 inches?

Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

Answer:12

Step-by-step explanation:

36:3=12

Answer:

3 you welcome

Step-by-step explanation:

Answer:

2,663 cm3

Step-by-step explanation:

It is meaningful to compute the probability that a continuous random variable is greater than or equal to a number, less than or equal to a number, or between two numbers.

In probability theory, a continuous random variable is a variable that can take on any value within a certain range or interval.

As a result, the probability that a continuous random variable takes on a specific value is zero, since there are infinitely many possible values the variable can take on.

Therefore, it is not meaningful to compute the probability that a continuous random variable is exactly equal to a number.

However, it is meaningful to compute the probability that a continuous random variable is greater than or equal to a number, less than or equal to a number, or between two numbers.

These probabilities can be calculated using the cumulative distribution function (CDF) of the random variable. The CDF gives the probability that a random variable takes on a value less than or equal to a certain value, which can be used to compute probabilities for ranges of values.

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Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

I think A

Step-by-step explanation:

I'm not really sure but I think it's A assuming the triangle is not an equilateral

The best approximation of the solution to the system is (-2, 7).

Here's how I arrived at the solution using substitution method:

Given the system of linear equations:

3x - 4y = -32

3x + 5y = 24

We'll solve for x in equation 1 and substitute the result into equation 2:

3x - 4y = -32

x = (-32 + 4y) / 3

Substituting this expression of x into equation 2:

3((-32 + 4y) / 3) + 5y = 24

-32 + 4y + 15y = 24 * 3

13y = 24 * 3 + 32

13y = 96

y = 7.38

Rounding the value of y to the nearest integer, we get y = 7.

Substituting y = 7 back into the expression for x:

x = (-32 + 4 * 7) / 3

x = (-32 + 28) / 3

x = -4 / 3

Rounding the value of x to the nearest integer, we get x = -2.

Therefore, the best approximation of the solution to the system of linear equations is (-2, 7).

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The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.

The PDF of V is defined as:

f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.

The expected value of V, denoted as E(V), can be calculated as:

E(V) = ∫v * f(v) dv

To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.

E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.

E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].

E(V) = (0.25) * [(49 / 2) - (9 / 2)].

E(V) = (0.25) * (40 / 2).

E(V) = (0.25) * 20.

E(V) = 5.

Therefore, the expected value of the continuous random variable V is 5.

The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

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Based on the ratio, Anders uses 72.73g of sugar, 145.46g of butter, and 581.84g of flour to make his scones.

Anders makes scones using the ratio 1:2:8 for sugar, butter, and flour respectively. This means that for every 1 gram of sugar, he uses 2 grams of butter and 8 grams of flour.

To find out how much of each ingredient he uses, we can use the following steps:

1. Add the ratios together: 1 + 2 + 8 = 11

2. Divide the total amount of ingredients by the sum of the ratios: 100 + 300 + 400 = 800 / 11 = 72.73

3. Multiply each ratio by the result from step 2 to find the amount of each ingredient:

Sugar: 1 x 72.73 = 72.73g

Butter: 2 x 72.73 = 145.46g

Flour: 8 x 72.73 = 581.84g

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Answer:

Today: Friday, 06 November 2020

Hour: 10.15 WIB (Indonesia)

_______________________________

so,

6c = 6 × 5 = 30

4b = 4 × (-3) = -12

Example:

4b - 6c

= 4(-3) - 6(5)

= -12 - 30

= - 42

4b + 6c

= 4(-3) + 6(5)

= -12 + 30

= 18

The solution is Option C.

The total distance skated by the ice skater is 126 meters

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

Given data ,

Let the distance traveled by the skater be = D

Let the diameter of the circle A be = 20m

Let the diameter of the circle B be = 20m

So , the radius of circle A = 10 m

The radius of circle B = 10 m

Now , the value of π = 3.14

So , the distance traveled by the skater = perimeter of circle A + perimeter of circle B

Perimeter of Circle A = 2πr

Substituting the values in the equation , we get

Perimeter of Circle A = 2 x 3.14 x 10

Perimeter of Circle A = 62.8 m

And ,

Perimeter of Circle B = 2πr

Perimeter of Circle B = 2 x 3.14 x 10

Perimeter of Circle B = 62.8 m

Therefore , the distance traveled by the skater = Perimeter of Circle A + Perimeter of Circle B

Substituting the values in the equation , we get

The distance traveled by the skater = 2 x 62.8

The distance traveled by the skater = 125.6 meters

The distance traveled by the skater = 126 meters

Therefore , the value of D is 126 meters

Hence , The total distance skated by the ice skater is 126 meters

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The minimum recommended temperature for the cold temperature run (\#7) is 15 degrees below room temperature.

The cold temperature run, marked as \#7, requires a specific temperature range to ensure optimal performance and safety. The minimum recommended temperature for this run is 15 degrees below room temperature.

Running at temperatures below room temperature allows for a more controlled environment that mimics colder conditions, which can be beneficial for various purposes such as testing equipment, evaluating performance, or assessing durability in colder climates. It helps identify potential issues or limitations that may arise in colder environments.

Setting the minimum recommended temperature at 15 degrees below room temperature provides a sufficient cold environment without excessively low temperatures that could pose risks or potential damage.

This temperature range strikes a balance between achieving the desired cold conditions for testing purposes while ensuring the safety and integrity of the equipment or system being evaluated.

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The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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The shareholders annual report is a comprehensive document that provides an overview of a company's financial performance.

This report must include several key elements, including financial statements such as balance sheets, income statements, and cash flow statements. These financial statements provide important information on the company's revenue, expenses, profits, and cash flow.

In addition to financial statements, the annual report must also include a management discussion and analysis section that provides context for the financial information presented.

This section typically includes an overview of the company's strategy, key performance indicators, and major initiatives undertaken during the year.

The annual report may also include a report from the company's board of directors, as well as information on executive compensation and the company's governance structure. Fina

lly, the report may include information on the company's sustainability practices and its impact on the environment and local communities.

Overall, the shareholders annual report is a crucial document that provides transparency and accountability to the company's shareholders, and must include a range of financial and non-financial information  to provide a comprehensive view of the company's performance.

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Answer:

First, you have to find out the words per second.

2 and 3/5 min = 165 sec

165 sec divided by 110 words = 0.6 words a second

4 and 1/4 min = 255 sec

0.6 x 255 = 153 words in 4 and 1/4 min

Step-by-step explanation:

i hope this helps! Have a nice day!

Answer:

3/4

Step-by-step explanation:

Remember: rise/run, where rise is the vertical line and run is the horizontal. To calculate for 5, the rise must be 5x the run (e.g. 25/5). 0 is a horizontal line, since it has no y-axis. Then draw all your lines on a graph. The steepest slope will be 3/4.

Explanation:

Assuming those given answer choices represent slope values, the steepest slope is the number furthest from 0 on the number line. In other words, it will have the largest absolute value.

In this case, the steepest slope is 5 since this value is furthest from 0 of the other answer choices.

A. Grow wheat in the sunshine, instead of the shade, or make sure that the wheat in the shade gets light.

B. This would overcome the problem of the slugs eating the wheat.

C. Yes, it would.

Answer:

Y= x +4

Y= 4x-6

Y= 3x-4

Step-by-step explanation:

I don't know if i did it right. Because i haven't do this for a while. Hope this help LOL

The $2.25 must the theatre charge per ticket in order to maximize their revenue.

For the stated question.

Let the revenue generated be 'R'.

The price of ticket after reduction of $1 = x.

Total tickets  = 100

Using the revenue equation;

Revenue = (Number of ticket)X(price per ticket)

R =  (100 - 10x)(15 + x)

R =  1500 - 10x² -150x + 100x

R =  1500 - 10x² -50x

For the maximum revenue-

x = -b/2a = 50/2(-10)

x = -50/20 = -2.25

Thus, the $2.25 must the theatre charge per ticket in order to maximize their revenue.

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Answer:

65

Step-by-step explanation:

<S = <t

x + 50 = 3x + 20

2x = 30, x = 15

. <t = <v

3x + 20 = 45 + 20 =  65

Answer:

b.  65 degrees.

Step-by-step explanation:

m < RST = m < STU (alternate angles), so

x + 50 = 3x + 20

50 - 20 = 3x - x

2x = 30

x = 15.

Now m < RVT = m < RST  ( opposite sides of a parallelogram are equal).

So m < RVT = x + 50 = 15 + 50 = 65.

For a survey with 95% of the community of favouring in success of an event, the probability that the number favoring the substation is exactly 42 is equal to 0.0024.

We have in recent survey, 95% of the community favored for building a police substation in their nearby. Total number of choose citizens = 50

That is total possible outcomes = 50

Let X be an event for number of citizens favored for building a police substation in their nearby.

Probability that who favored for building a police substation in their nearby, P( X) = 95% = 0.95

That is Probability of success, p = 0.95

So, probability of failure, q = 1 - p = 1 - 0.95 = 0.05

We have to probability that the number favoring the substation is exactly 42, P( X = 42). Using the binomial distribution formula, P( X = x) = ⁿCₓ pˣ (1-p)⁽ⁿ⁻ˣ⁾

P( X = 42) = ⁵⁰C₄₂ (0.95)⁴²( 0.05)⁸

= 0.0024

Hence, required probability value is 0.0024.

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Answer:

w = -21

Step-by-step explanation:

-2/3 w = 14

Multiply each side by -3/2 to isolate w

-3/2 * -2/3w = 14*-3/2

w = -21

Answer:

x = -5 + y

y = 5 + x

Step-by-step explanation:

Hope this helps!!! :))

A probability distribution is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.

A probability distribution is a mathematical function that assigns probabilities to all possible outcomes of a random variable. It describes the likelihood of each possible value or range of values occurring.

For a discrete random variable, which takes on distinct values, the probability distribution assigns probabilities to each possible value. It specifies the probability of observing each value of the random variable.

For a continuous random variable, which takes on a range of values, the probability distribution assigns probabilities to intervals or ranges of values. Since there are infinitely many possible values within a range, the probability of observing a specific value is usually zero. Instead, the probability distribution provides probabilities for intervals of values, indicating the likelihood of the random variable falling within those intervals.

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The angle of elevation of the room is approximately 19.1 degrees.

To determine the angle of elevation of the room, we need to use trigonometry. The angle of elevation is the angle between the horizontal plane and the line of sight from the rover to the room. We can use the tangent function to find this angle:

tan(angle of elevation) = opposite/adjacent

In this case, the opposite side is the vertical distance of 65 meters and the adjacent side is the horizontal distance of 180 meters. So we have:

tan(angle of elevation) = 65/180

To find the angle of elevation, we can take the inverse tangent (or arctan) of both sides:

angle of elevation = arctan(65/180)

Using a calculator, we get:

angle of elevation = 19.1 degrees (rounded to the nearest thousands of degree)

Therefore, the angle of elevation of the room is approximately 19.1 degrees.

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Answer:

\( \boxed{ \bold{ \sf{x = 16}}}\)

\( \boxed{ \bold{ \sf{m < AFD = 82}}}\)

Step-by-step explanation:

\( \sf{5x + 18 = 3x + 50}\)

( Being vertically opposite angles)

Vertically opposite angles are always equal.

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change it's sign

⇒\( \sf{5x - 3x = 50 - 18}\)

Collect like terms

⇒\( \sf{2x = 50 - 18}\)

Subtract 18 from 50

⇒\( \sf{2x = 32}\)

Divide both sides of the equation by 2

⇒\( \sf{ \frac{2x}{2} = \frac{32}{2} }\)

Calculate

⇒\( \sf{x = 16}\)

The value of x is 16

Now, let's find value of m<AFD :

\( \sf{m < afd + 5x + 18 = 180}\) ( sum of angle in straight line )

plug the value of x

⇒\( \sf{m < AFD + 5 \times 16 + 18 = 180}\)

Multiply the numbers

⇒\( \sf{m < AFD + 80 + 18 = 180}\)

Add the numbers

⇒\( \sf{m < AFD + 98 = 180}\)

Move constant to R.H.S and change it's sign

⇒\( \sf{m < AFD = 180 - 98}\)

Subtract 98 from 180

⇒\( \sf{m < AFD = 82}\)

Value of m<AFD = 82

Hope I helped!

Best regards!!