The height, H cm, of a table is measured as 72 cm correct to the nearest centimetre.
Complete the following statement to show the range of possible values of H.

Answer:

Step-by-step explanation:

Answer:

B. LXYB.

Step-by-step explanation:

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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Answer:

24 g

Step-by-step explanation:

60/100x40

2400/100

24

In a distribution that is skewed to the right, the mean is typically greater than the median, and the median is typically greater than the mode.

Skewness refers to the asymmetry of a distribution. When a distribution is skewed to the right, it means that the tail of the distribution extends towards the right side, indicating a larger number of extreme values on the right side of the distribution.

In such cases, the mean is pulled towards the right by the larger extreme values, making it greater than the median. The median represents the middle value of the distribution and is less affected by extreme values, so it tends to be greater than the mode, which is the most frequently occurring value.

Therefore, the relationship of the mean, median, and mode in a distribution skewed to the right is: \(mean > median > mode.\)

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The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.

In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

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0

Subtract

Answer is 0

Hope this helps

God bless!

Answer:

oofff

Step-by-step explanation:

Answer:

x=33

Step-by-step explanation:

1) write the equation: 180=90+(x+15)+(x+9)

2) subtract 90 on both sides and add x+15 and x+9 together: 90=2x+24

3) subtract 24 from both sides: 66=2x

4) divide both sides by 2: x=33

Answer:

which

Step-by-step explanation:

grease and flour and salt in a few days ago hera tw chaina raicha bhane ma lyauchu la ma herchu you have any questions or concerns please visit the plug-in settings to determine how attachments are handled the situation and I was just wondering I am I

Answer:

Step-by-step explanation:

Answer: 2

Step-by-step explanation: Thank you

Answer:

The answer is 2

Answer:

£0.75 is how much each battery costs.

Step-by-step explanation:

£5.99 ÷ 8 = £0.748

Answer:

75 cents

5.99 divided by 8 is .74 which can be rounded to .75 which is also 75 cents

To make a stem-and-leaf display, we will separate the ages into stems based on the tens digit and leaves based on the ones digit.

Therefore, the stem-and-leaf display of the age distribution is:

1 | 6

2 | 6 8 9

3 | 3 7 8

4 | 1 3 6 7 8 9

5 | 3 5

6 | 3 4 5 8

A stem-and-leaf display is a graphical representation of a set of data. It is a way to organize and display data in a way that allows for easy interpretation and comparison of the data.

In a stem-and-leaf display, the data is separated into two parts: the stem and the leaf. The stem represents the tens digit of each data point, and the leaf represents the ones digit. For example, the number 47 would be represented as a stem of 4 and a leaf of 7.

The stems are listed vertically, and the leaves are listed horizontally next to their respective stems. The leaves are usually listed in increasing order.

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Answer:

Step-by-step explanation:

Total chairs:

Answer: C = 24n + 18

Step-by-step explanation:

Since there are n number of classrooms and each classroom needs 24 chairs, the number of chairs needed by classrooms is 24xn. In addition it needs 18 chairs for the teacher's lounge. so:

C = 24n + 18

Answer:

$22560

step 1

$270 × 4month

=$1880 for a month

step 2

$1880×12months

= $22560

Answer:

i go with the first one cause

Step-by-step explanation:

its the only true one

Answer:

D.

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

9marbles - redmarbles=6marbles

6/9

To simplify the ratio 6:9, we find the greatest common divisor of 6 and 9, and then we divide 6 and 9 by the greatest common divisor. The greatest common divisor that you can use to simplify 6:9 is 3. Which means the answer to ratio 6:9 simplified is: 2:3. Here is the math to illustrate better: 6/3 = 2 and 9/3 = 3.

Answer:

2 : 4

green : blue

Step-by-step explanation:

if there is 9 marbles in the bag and 3 are red and 2 are green then 3+2= 5 so 9-5 = 4 so there 4 blue marbles

hope this helps

Answer:

D: all real numbers,  R: y ≤ -4

Step-by-step explanation:

R: y ≤ -4

Because the line doesn't go beyond -4.  

A. The average cost of the cakes produced is $120 per cake.

B. Labor productivity ratios: Birthday cake: $33.33/hr, Wedding cake: $37.50/hr, Specialty cake: $50/hr.

A. To calculate the average cost of the cakes produced, we divide the total cost by the total number of cakes. Total cost = (5 * $50) + (2 * $150) + (3 * $100) = $250 + $300 + $300 = $850. Total cakes = 5 + 2 + 3 = 10. Average cost = $850 / 10 = $85 per cake.

B. Labor productivity ratio is calculated by dividing the total output value by the total labor cost. Labor cost = $50 per hour. Labor productivity ratio: Birthday cake = $50 / (90 minutes / 60 minutes/hour) = $33.33/hr, Wedding cake = $150 / (240 minutes / 60 minutes/hour) = $37.50/hr, Specialty cake = $100 / (60 minutes / 60 minutes/hour) = $50/hr.

C. Based solely on labor productivity ratio, Alyssa should try to sell the specialty cake the most as it has the highest labor productivity ratio of $50/hr.

D. Based on the average cost of the cakes produced, there is no indication that Alyssa should stop selling any particular type of cake. The average cost per cake is $120, and all the cakes are sold at a profit. However, further analysis beyond labor productivity and average cost, such as sales volume and customer demand, may be necessary to make more informed business decisions.

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Hey... The answer is A

\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)

Step-by-step explanation:

First let's convert 2x - 3y = 12 into \(y = mx + b\)  form.

In order to do this, solve for y.

\(2x-3y=12\)

\(-3y=-2x+12\)

\(y=\frac{2}{3} x-4\)

This shows us that the slope is   \(\boxed{\frac{2}{3}}\)

Now we use the point-slope formula:

\((y-y1)=m(x-x1)\)

where m is the slope and y1 and x1 are the point the line passes through

Using the point (-6,2) and slope, 2/3, we can find the equation:

\((y-2)=\frac{2}{3} (x-(-6))\)

\((y-2)=\frac{2}{3} (x+6)\)

\((y-2)=\frac{2}{3} x+4\)

\(\large\boxed{y=\frac{2}{3} x+6}\)

The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.

a) On average, what value is expected for the F-ratio if the null hypothesis is true?

The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.

b) On average, what value is expected for the F-ratio if the null hypothesis is false?

The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.

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The mean of the given data is approximately 39.7.

The mean is the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of mean that can be calculated. The formula for calculating the arithmetic mean is to add up the numbers in a set and divide by the total quantity of numbers in the set.

In the given data set, the mean can be calculated as the sum of all the values divided by the number of entity in the data.

mean = {33.2+38.6+41.9+44.0+42.9+36.2+41.7+39.8+43.5+30.5+39.2} / 12

mean = 119 / 3

mean = 39.7

The mean of the data set is calculated as 39.66666 which is approximately 39.7.

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Answer:

228.42 ft

Step-by-step explanation:

To solve for this question, we would be applying the Trigonometric function of Sine.

Sin theta = Opposite/Hypotenuse

Theta = 52°

Opposite = 180ft

Hypotenuse = Length of the wire = x

Hence:

sin 52 = 180/x

x = 180/sin 52

x = 228.42327871 ft

Approximately = 228.42 ft

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Answer: 10 + 0.998987... = 10.998987

Step-by-step explanation:

I just took the test today and this was the answer.

1-  if the main coefficient isn't always 1, divide each facets by way of the coefficient so that the resulting equation has a leading coefficient of 1.

2- write the equation within the form ax²+ bx = c

3- write the left aspect of the equation because the rectangular of a binomial and simplify the proper side if possible.

4- add the rectangular of half of the coefficient of the linear time period to both aspects of the equation.

5- practice the rectangular root property for equation and solve as usual.

What do you mean by quadratic?

Quadratics can be defined as a polynomial equation of a second degree, which means that it incorporates a minimum of one time period that is squared. it's also referred to as quadratic equations. the general shape of the quadratic equation is: ax² + bx + c = 0.

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When Samantha was streaming "The Haunted Cave" the cellphone went from a level of battery charge of 76% to 16%. We need to calculate the rate at which the battery of the phone is drained while streaming this show. She watched three episodes of the show, each with 30 minutes. So the first step is to calculate the time she spent streaming it. Since she watched 3 episodes of 30 minutes each, the total time is the product between the number of episodes and the elapsed time.

Then we need to calculate how much of the battery was spent on that time. This is the difference between the charge when she started and the charge when she finished.

Now we can calculate the rate at which her battery is drained while watching that show, this is done by dividing the total battery spent by the elapsed time.

This rate means that for every minute watching this show she spends 2/3 of a % of battery.

She then charged the battery to 63% and went on a 24 minute bus ride while listening to Top Pop, this resulted on her battery dropping all the way to 59%. We need to do the same as above to find how much batter per minute this playlist consumes. We have:

The playlist spent 4% in 24 minutes, so the rate is:

While listening to Top Pop the cellphone discharges at a rate of 1/6 of a % per minute.

When she was on the bus home with her friend her battery was at a level of 29%, while his was at 55%. He then went to watch the haunted show, while she went to listen Play Top. If the rate is the same as we calculated above, then the level of battery of each person can be calculated by the starting level subtracted by the rate at which each app consumes the battery multiplied by the time they are using the app. So for each person we have:

To find the time it will take before the level of battery is the same on each device we need to make both equations equal and solve for t.

For both phones to achieve the same level of battery they'll need to use it for 78 minutes.