find the length of a diagonal of a rectangular room of length 5 m, width 3 m and height 2.5 m​

Answer:

10% of 92 is 9.2

Step-by-step explanation:

u move the decimal one number forward

Answer:

First Part;

As the temperature in the city increases, the number of cups of hot chocolate sold decreases

Second Part;

The approximate value of the slope in number of cups sold per change in temperature is -0.12222

The approximate value of the y-intercept is 20.944 degrees temperature

Step-by-step explanation:

Question;

First Part

What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words

Second Part

How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit

Explanation

The data points are presented in the following table;

\(\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}\)

A scatter plot is formed from the given data using MS Excel

First part;

From the values of the number of cups sold, y, and the temperature at which they are sold, x, there is correlation between the x and y values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature

Second Part;

The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;

y = a + b·x

\(b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }\)

a = \(\bar y\) - b·\(\bar x\)

Where;

b = The slope

a = The y-intercept

From MS Excel, we have;

\(\bar y\) = 15, \(\bar x\) = 48.63636

\(\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410\)

\(\sum \left(x_i - \bar x\right )^2 = 3354.545\)

Therefore;

\(b = \dfrac{-410}{3354.545} = -0.12222\)

The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)

a = 15 - (-0.12222)×48.63636 ≈ 20.944

The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).

Answer:

No solution

Step-by-step explanation:

6x + 1 = 6x - 8

-6x        -6x

1 ≠ -8

Answer:

??????????

Step-by-step explanation:

Answer:

me too tbh

Step-by-step explanation:

Answer:

(x−3−4)(x+1)

Step-by-step explanation:

The manager's claim that fewer than 750 damaged computer displays are produced daily is accurate, thus yes. A hypothesis theory can help us with this.

We need to conduct a hypothesis test to establish whether the manager's assertion is likely to be accurate. The null hypothesis, labelled H0, is that the fraction of damaged computer displays manufactured each day is 750/10,000 = 0.075. The proportion being less than 0.075 is the alternative hypothesis, labelled Ha.

The test statistic, which gauges how far the sample proportion deviates from the null hypothesis proportion assuming the null hypothesis is true, can be calculated using the sample data. Here is how the test statistic is computed:

p is the sample proportion of faulty, and z = (p - p0) / (p0(1-p0)/n) computer monitors, n is the sample size, and p0 is the null hypothesis proportion.

In this instance, n = 290, p = 9/290 = 0.031, and p0 = 0.075.

These variables are plugged in, and the result is: z = (0.031 - 0.075) / (0.075(1-0.075)/290) -4.50

The test statistic reveals how far the sample percentage deviates from the null hypothesis proportion by how many standard deviations. The test statistic's absolute value should be higher if there is more evidence arguing against the null hypothesis.

The likelihood of seeing a test statistic that is as extreme or more extreme than the one we computed assuming the null hypothesis is true is known as the p-value, and it may be determined using a conventional normal distribution. As the alternative hypothesis in this situation is that, we are interested in the left tail of the distribution. The proportion is lower than the proportion under the null hypothesis.

The p-value, which can be calculated or calculated using statistical tools, is about 0.000003. Due to the extremely low p-value, it is extremely unlikely that the sample proportion will be as extreme as or more extreme than 0.031, if the null hypothesis is correct.

The maximum probability of rejecting the null hypothesis when it is true is called the significance level, and it is typically used to compare the p-value to. The usual ranges for are 0.05 and 0.01. We reject the null hypothesis and come to the conclusion that there is evidence against it if the p-value is less than. If not, we are unable to reject the null hypothesis and come to the conclusion that there is insufficient evidence. to dismiss it.

If we apply = 0.05 in this instance, the p-value is significantly lower than. As a result, we reject the null hypothesis and come to the conclusion that there is evidence to support a daily production rate of fewer than 0.075 defective computer displays. The manager's assertion that fewer than 750 damaged computer displays are manufactured each day is in conflict with this.

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Answer:

17/3

Step-by-step explanation:

The most important statistic that is obtained through nasometry is the mean nasalance score. Nasometry is a measure of nasalance, which refers to the amount of sound energy that is transmitted through the nose during speech production.

This measure is obtained by comparing the acoustic energy of the sound produced by the mouth and the sound produced by the nose. The mean nasalance score provides information about the average amount of nasality in a person's speech, which can be useful in diagnosing and treating speech disorders such as cleft palate or velopharyngeal insufficiency. The other terms mentioned, such as fundamental frequency and range, are not directly related to nasometry or nasalance.

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Answer:

D: -5.3333333...​

Step-by-step explanation:

Which number is rational?

All given options are non-terminating, but the last one has repeating decimal

It can be represented as fraction:

Answer:

Yeah its D i just checked

Step-by-step explanation:

The standard form of the equation of an ellipse is a useful representation that helps describe its shape and characteristics.

Standard form of the equation of an ellipse is given by:

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

where (h,k) represents the center of the ellipse, 'a' is the length of the semi-major axis, and 'b' is the length of the semi-minor axis.

To find the standard form of the equation, you need the coordinates of the center and the lengths of the semi-major and semi-minor axes. Let's assume the center of the ellipse is (h,k), the length of the semi-major axis is 'a', and the length of the semi-minor axis is 'b'. Then the standard form equation becomes:

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

The standard form of the equation of an ellipse is a useful representation that helps describe its shape and characteristics. By knowing the center and the lengths of the semi-major and semi-minor axes, you can easily write the equation in standard form, allowing for further analysis and calculations.

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Answer:

(a) See attachment 1

All points lie on the same line

(b) See attachment 2

Step-by-step explanation:

Given

\(2x + y = 10\)

Solving (a): Plot 5 points that make the equation, true

First, we calculate the points

Make y the subject

\(y = 10 - 2x\)

\(x = 0 \to y = 10 - 2* 0 = 10\)

\(x = 1 \to y = 10 - 2* 1 = 8\)

\(x = 2 \to y = 10 - 2* 2 = 6\)

\(x = 3 \to y = 10 - 2* 3 = 4\)

\(x = 4 \to y = 10 - 2* 4 = 2\)

So, we will plot the following points

\((0,10)\ (1,8)\ (2,6)\ (3,4)\ (4,2)\)

See attachment 1

Notice that all points lie on the same line

Solving (b):

Point (5,7) does not make the equation true, and that is why it lies outside the line

See attachment 2

Answer:

Step-by-step explanation:

We know that:

Work:

        4x + y = 73 cards

        9(4x + y = 73 cards)

        36x + 9y = 73 x 9 cards

This means that 1 premade deck is worth 37 cards. Now, let's substitute the value of y into the first equation to find x.

Hence, one booster pack is worth 9 cards and one premade deck is worth 37 cards.

Hoped this helped.

\(BrainiacUser1357\)

The expression that is equivalent to -4x³ -12x³ + 9x² will be -16x³ + 9x²

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. The expression that is equivalent to -4x³ -12x³ + 9x² will be:

= -4x³ -12x³ + 9x²

= -16x³ + 9x²

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The number of strings with seven or more characters that can be formed from the letters in evergreen are 317520.

We are given that;

Number of strings= 7

Now,

The letters in evergreen are E, V, R, G, and N. There are 3 E’s, 2 R’s, and 1 of each of the other letters.

To form a string with seven or more characters, we can use the formula for permutations with repetition:

P(n,r) = n! / (n1! n2! … nk!)

where n is the total number of letters, r is the length of the string, and n1, n2, … nk are the number of identical letters of each type.

For example, to form a string with 7 characters, we have:

P(9,7) = 9! / (3! 2! 1! 1! 1!) = 181440

To find the total number of strings with seven or more characters, we need to add up the permutations for each possible length from 7 to 9. That is:

P(9,7) + P(9,8) + P(9,9) = 181440 + 90720 + 45360 = 317520

Therefore, by permutations the answer will be 317520

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The number of strings with seven or more characters that can be formed from the letters in evergreen are 317520.

We are given that;

Number of strings= 7

Now,

The letters in evergreen are E, V, R, G, and N. There are 3 E’s, 2 R’s, and 1 of each of the other letters.

To form a string with seven or more characters, we can use the formula for permutations with repetition:

P(n,r) = n! / (n1! n2! … nk!)

where n is the total number of letters, r is the length of the string, and n1, n2, … nk are the number of identical letters of each type.

For example, to form a string with 7 characters, we have:

P(9,7) = 9! / (3! 2! 1! 1! 1!) = 181440

To find the total number of strings with seven or more characters, we need to add up the permutations for each possible length from 7 to 9.

That is:

P(9,7) + P(9,8) + P(9,9) = 181440 + 90720 + 45360 = 317520

Therefore, by permutations the answer will be 317520

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Answer:

-36

Step-by-step explanation:

a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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Using the binomial distribution, it is found that there is a 0.2373 = 23.73% probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

The values of the parameters are given as follows:

n = 5, p = 0.25.

The probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park is P(X = 0), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373\)

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Answer:

heyyy

Step-by-step explanation:

Answer:

i think they are similar figures therefore AD/PM=AC/PR,16/24=x/15,AD=22.5

Answer:

70!km is the right answer

Step-by-step explanation:

The distance between two cities on a map is 3.5 centimeters. the map is uses a scale in which 1 centimeters represents 20 kilometers.

In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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Answer:

139.3 m²

Step-by-step explanation:

The figure is composed of a square and a semi circle.

area of square = 10² = 100 m²

area of semi circle = 0.5πr² = 0.5π × 5² = 0.5π × 25 = 12.5π ≈ 39.3 m²

Total area = 100 + 39.3 = 139.3 m²

28inch^2

Rectangle:

[Length x Breadth]

5 + 3 = 8inch

8 x 2.5 = 20inch^2

Right Triangle:

[1/2 x Base x Height]

1/2 x 5 x 2 = 1/2 x 10

= 5inch^2

Left Triangle:

[1/2 x Base x Height]

1/2 x 3 x 2 = 1/2 x 6

= 3inch^2

20 + 5 + 3 = 28inch^2

Answer:

1 - z/3

Step-by-step explanation:

Answer:

12 dollars

Step-by-step explanation:

she started with 300 and didn't add any money or take any away... sooo she earned $12 in interest

Answer:

Point T is on a line segment SU. Given SU=4x+1, TU=3x, and ST=3x-1, determine the numerical length of SU

Step-by-step explanation:

By the segment addition rule, length of ST + length TU equals length of SU so 3x -1 + 3x = 4x + 1 6x - 1 = 4x + 1 2x = 2 x = 1 substituting value of x back into formula for length of SU: 4 (1) + 1 = 5