If the measure of angle 2 is 65 degrees, find the measure of angle one .

Answer:C. 47

Step-by-step explanation:

Answer:

C. 47

Step-by-step explanation:

I did the calculations

1. Budget at completion: $81,500.

Explanation: The budget at completion represents the total estimated cost of the project. Given that the total amount spent up to this point is $61,500 and the phase end review meeting has a planned cost of $6,500, the budget at completion is the sum of these two values: $61,500 + $6,500 = $68,000. However, it's important to note that this does not account for the remaining work. Therefore, we need to add the estimated cost for the remaining activities (A, B, C, D, E, F) to the budget at completion. Since no information is provided about the estimated costs for these activities, we cannot determine the exact values. Therefore, the budget at completion remains at $81,500.

2. Planned value: $61,500.

Explanation: The planned value represents the estimated value of the work scheduled to be completed at a specific point in time. Since Activities A, B, and the phase review meeting have been completed, their planned value is equal to the actual cost spent on them, which is $61,500.

3. Earned value: $48,000.

Explanation: The earned value represents the estimated value of the work actually completed at a specific point in time. Given that Activities A, B, and the phase review meeting have been completed, their earned value is equal to the actual cost spent on them, which is $61,500. However, Activity D is only 45% completed, so its earned value is calculated as 45% of the estimated cost for Activity D: 0.45 * (estimated cost of Activity D).

4. CPI (Cost Performance Index): 0.7413.

Interpretation: CPI is calculated by dividing the earned value by the actual cost spent. In this case, CPI = Earned Value / Actual Cost = $48,000 / $61,500 ≈ 0.7413. A CPI value less than 1 indicates that the project is over budget at this point.

5. SPI (Schedule Performance Index): 0.7836.

Interpretation: SPI is calculated by dividing the earned value by the planned value. In this case, SPI = Earned Value / Planned Value = $48,000 / $61,500 ≈ 0.7836. An SPI value less than 1 indicates that the project is behind schedule at this point.

6. The total project cost at the end of the project is uncertain based on the provided information. We don't have the estimated costs for the remaining activities (A, B, C, D, E, F), so we cannot determine the final cost at this stage.

7. To determine how much more is expected to cost to finish the project from the end of 3.5 weeks, we need the estimated costs for the remaining activities (A, B, C, D, E, F), which are not provided

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Answer:

\(k \approx 5$ units\)

Step-by-step explanation:

In Triangle JKL

\(\angle K=120^\circ\\\angle L=40^\circ\\KL=2\\JL=k\)

We want to determine the approximate value of k using the law of sines.

\(\angle J+\angle K+\angle L=180^\circ $ (Sum of angles in a \triangle)\\\angle J+120^\circ+40^\circ=180^\circ \\\angle J=180^\circ-(120^\circ+40^\circ)=20^\circ\)

Using Law of Sines

\(\dfrac{k}{\sin K} =\dfrac{j}{\sin J} \\\dfrac{k}{\sin 120} =\dfrac{2}{\sin 20} \\k=\sin 120 \times \dfrac{2}{\sin 20}\\k=5.06\\k \approx 5$ units\)

Answer:

5.1

Step-by-step explanation:

Right on EDU

Answer:

ur welcoem

Step-by-step explanation:

The slope of the line forming the smallest right triangle, when a line is drawn through the point (1, 2), is 2.

The slope of the line forming the smallest right triangle with the positive x and y axes, when a line is drawn through the point (1, 2), can be determined as follows.

First, let's consider the two axes as the legs of the right triangle, and the line drawn through (1, 2) as the hypotenuse. The slope of the hypotenuse can be calculated by finding the difference in y-coordinates divided by the difference in x-coordinates between the two endpoints.

Since the x-coordinate of the point where the line intersects the x-axis is 0 (positive x-axis), and the y-coordinate of the point where the line intersects the y-axis is 0 (positive y-axis), the difference in y-coordinates is 0 - 2 = -2, and the difference in x-coordinates is 0 - 1 = -1.

Therefore, the slope of the line forming the smallest right triangle is -2/-1 = 2.

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Todd drank 29.17% of the bottles. First, we need to calculate the total number of bottles drank by Lydia, Mitchell, and Alexa.

Lydia = (1/8) x 24 = 3 bottles

Mitchell = (33 1/3%) x 24 = (1/3) x 24 = 8 bottles

Alexa = 0.25 x 24 = 6 bottles

The total number of bottles drank by Lydia, Mitchell, and Alexa is 3 + 8 + 6 = 17 bottles.

Therefore, the number of bottles Todd drank is 24 - 17 = 7 bottles.

To find the percentage of bottles Todd drank, we can use the following formula:

Percentage = (Part/Whole) x 100%

Where the Part is 7 and the Whole is 24.

Percentage = (7/24) x 100% = 29.17%

Therefore, Todd drank 29.17% of the bottles.

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The expressions are:

1. 6h² - 4h - 2

2. 6c² + c - h +9

Algebraic expressions are expressions made up of constants, terms, coefficients and variables.

Given the expressions;

h² + 4h - 4

5h² - 8h + 2

Let's take the sum

h² + 4h - 4 + 5h² - 8h + 2

collect like terms

h² + 5h² + 4h - 8h - 4 + 2

6h² - 4h - 2

Let's subtract 3c - 5 from 6c² + 3c + 9

6c² + 3c + 9 - 2c - h

collect like terms

6c² + 3c - 2c - h +9

6c² + c - h +9

Hence, the expressions are 6h² - 4h - 2 and 6c² + c - h +9

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9514 1404 393

Answer:

  AD is the diameter

Step-by-step explanation:

Angles in a triangle have a sum of 180°, so inscribed angle B is 80° and inscribed angle E is 90°.

An inscribed angle subtends an arc that is twice its measure, so arcs ABD and AED are both 180°. That makes chord AD a diameter.

Points A and D need your cross markings. AD is a diameter of the circle.

Answer:

7 m

Step-by-step explanation:

63/9=7 and 7*9=63

Answer: 7.

Step-by-step explanation:

Divide 63 and 9 and you get 7. Remember, length times width equals area.

Option A: "You roll the die 1200 times and observe 400 6s" would be the best proof that the die is unjust.

In comparison to the other options, Option A offers a significantly bigger sample size, which improves the accuracy and dependability of the findings.

There is a sizable quantity of data to be analyzed from the 1200 rolls, and the observation of 400 instances of the number 6 shows that the probability of rolling the number may be substantially higher than the anticipated probability of 1/6 for a fair 6-sided die.

Due to the significantly smaller sample sizes for Options B, C, and D, the results are less conclusive and more subject to chance changes.

Option B's 5 6s out of 12 rolls would fall within the realm of what a fair die might produce.

It is challenging to make firm conclusions from Option C's 22.6's (perhaps 22 or 23 occurrences of 6 out of 120 rolls), as it is still a small sample size.

Only the observation of three consecutive 6s is mentioned in Option D, and even with a fair die, this could infrequently occur by coincidence.

For a more reliable assessment of fairness, it's essential to have a larger sample size, as provided in option A.

This larger data set allows for better statistical analysis and a more accurate determination of whether the die is fair or not.

Hence the correct option is A.

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Answer:

Step-by-step explanation:

a) $3.30/6kg = 0.55 dollars per kilogram

b) 448km/7h = 64 kiliometres per hour

For each unit rate, divide the units in where usually the biggest one is on top

Have a good one

Answer:

y = 2x - 8

Step-by-step explanation:

marke me brainliest pls ;)

- took this quiz btw !

Answer:

The mean is 11.3 to one decimal place.

Step-by-step explanation:

Answer: M= -1

Step-by-step explanation:

18m + -5m + 8m= -21 (combine like terms)

21m= -21 (bring the positive 21 over to the other side by dividing)

m = -1

Answer:

7 m

Step-by-step explanation:

A square has 4 equal sides so the 4 sides must add up to 28.

28 / 4 = 7m

This model is typically used to model relationships between two variables that are exponentially related. The log-log model can be used to estimate the parameters of an exponential relationship between the two variables.

A log-log model is a type of nonlinear regression model where both the response and predictor variables are transformed into natural logs. This model is used to model the relationships between two variables that are exponentially related. The log-log model is used to estimate the parameters of an exponential relationship between the two variables. To use a log-log model, the data must first be transformed into natural logs. This transformation is accomplished by taking the natural log of both the response and predictor variables. Once the data is in log form, a nonlinear regression model can be used to estimate the parameters of the exponential relationship between the two variables. The model is then fit to the transformed data, and the parameters of the exponential relationship can be estimated. The estimated parameters can then be used to make predictions about the relationship between the two variables.

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Erm, would you mind making the format easier to decipher?

Answer:

B.

(

135

×

1

100

)

×

(

14

×

1

10

)

(

135

×

14

)

×

(

1

100

×

1

10

)

Step-by-step explanation:

Answer:

its called a calculator division and multiplication

Step-by-step explanation:

Substituting a cumulative area of 0.2420, a mean of 0, and a standard deviation of 1 into the inverse normal distribution, the z-score is -0.71 to two decimal places.

Given that the cumulative area of 0.2420, a mean of 0, and a standard deviation of 1, the required z-score has to be determined.We know that the standard normal distribution with mean 0 and standard deviation 1 is denoted as N(0, 1). The inverse normal distribution with a cumulative area of x is the inverse of the normal distribution with cumulative area x. Let z be the z-score corresponding to a cumulative area of x, then we can say that P(Z ≤ z) = x, where P is the cumulative distribution function of the standard normal distribution.

Substituting the given values in the formula, we get:0.2420 = P(Z ≤ z)We need to find the corresponding z-value using inverse normal distribution. Therefore, we take the inverse of the cumulative distribution function, as follows:z = invNorm(0.2420)z = -0.71 (rounded to two decimal places)Thus, the required z-score is -0.71.

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Answer:

y=0.75x

Step-by-step explanation:

$3 for every 4 hours

$0.75 for every hour

y=0.75x

The equation relating the total cost (y) to the number of hours (x) is y = 0.75x.

The equation that relates the total cost (y) to the number of hours (x) can be derived from the given information. We know that the cost is $3 for 4 hours of feeding kookaburras.

The cost is proportional to the number of hours, and we can represent this relationship using a linear equation:

Cost = Rate × Hours

In this case, the rate is the cost per hour, which is $3 / 4 hours = $0.75 per hour.

Therefore, the equation relating the total cost (y) to the number of hours (x) is:

y = 0.75x

Here, "y" represents the total cost, and "x" represents the number of hours. This equation reflects the linear relationship between the total cost and the number of hours of feeding kookaburras in the zoo.

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Answer:

There were 40 people total at the party and we assume each had cake of one type.

So, the % of those who had chocolate is:

32/40 = .8 = 80%

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer: 0.23849

Step-by-step explanation:

0.23849

2 is tenth

3 is hundredth

8 is thousandth

4 is ten thousandth

9 is hundred thousandth

The volume of a Cone.

Substituting these values in the above formula, we get,

Hence,

The correct answer is

Siyabonga needs approximately 40 tiles of size 550mm x 550mm to tile the bathroom.

To calculate the number of 550mm x 550mm tiles Siyabonga needs to tile the bathroom, we need to determine the total area of the bathroom and then divide it by the area of one tile.

Dimensions of one tile: 550mm x 550mm

Bathroom dimensions: 4m x 3m

First, let's convert the bathroom dimensions from meters to millimeters:

Length of the bathroom = 4m = 4,000mm

Width of the bathroom = 3m = 3,000mm

Next, calculate the total area of the bathroom:

Area = Length x Width = 4,000mm x 3,000mm = 12,000,000 square millimeters

Now, calculate the area of one tile:

Area of one tile = 550mm x 550mm = 302,500 square millimeters

To find the number of tiles needed, divide the total area of the bathroom by the area of one tile:

Number of tiles = Total area of bathroom / Area of one tile

Number of tiles = 12,000,000 square millimeters / 302,500 square millimeters

Number of tiles ≈ 39.67

Since we cannot have a fraction of a tile, Siyabonga would need to round up to the nearest whole number.

Therefore, Siyabonga would need approximately 40 tiles of size 550mm x 550mm to tile the bathroom.

It's important to note that this calculation assumes no tile wastage due to cuts or irregularities in the bathroom shape. It's advisable to account for extra tiles to accommodate such factors and have some spares for replacements in case of damage in the future.

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The expression is given for the volume of pyramid with base B and height H.

In b part, the base area is given 34 sq.units and height is 9 units.w

A. To determine the volume of a pyramid with base area B and height H.

The volume of pyramid is

B. The area is given 34 square units and a height is 9 units.

To determine the volume of pyramid,

Substitute the values B and H and find volume.

A. The expression for volume of pyramid is

B. The volume of pyramid is determined as

Answer: 4 boxes

Step-by-step explanation: 6 caramel chocolates and 9 milk chocolates in each box.

Answer:

The volume of the sphere 288π cubic meters which is approximately 904.8 cubic meters to the nearest tenth.

Step-by-step explanation:

The given figure is a sphere.

The formula for the volume of a sphere is:

\(V=\dfrac{4}{3}\pi r^3\)

where r is the radius.

Given the diameter of the sphere is 12 m, and the radius is half the diameter, r = 6 m.

To calculate the volume of the sphere, substitute r = 6 into the formula:

\(\begin{aligned}\implies V&=\dfrac{4}{3}\pi \cdot 6^3\\\\&=\dfrac{4}{3}\pi \cdot 216\\\\&=288\pi \\\\ &\approx 904.8\;\sf m^3\;(nearest\;tenth)\end{aligned}\)

Therefore, the volume of the sphere 288π cubic meters which is approximately 904.8 cubic meters to the nearest tenth.

The answer is C. 400 times more likely. The more likely is a manual filer to make an error than an electronic filer if 20% of all manually filed returns contain %-errors, and 0.05% of all electronically filed returns contain errors is 400 times using percentages.

It's important to note that percentages are ratios of numbers in relation to 100.

So, we must first convert 20% and 0.05% to decimals.

20% = 20/100

       = 0.200.0

5% = 0.05/100

     = 0.0005

Therefore, we know that if 20% of all manually filed returns contain errors, then 0.2 of every 1 return contains errors. Similarly, if 0.05% of all electronically filed returns contain errors, then 0.0005 of every 1 return contains errors.

To determine how much more likely a manual filer is to make an error than an electronic filer, we need to divide the probability of a manual filer making an error by the probability of an electronic filer making an error:(Probability of manual filer making an error) / (Probability of electronic filer making an error)= 0.2/0.0005= 400

Therefore, a manual filer is 400 times more likely to make an error than an electronic filer.

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From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).

--------------------

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Answer:

A. (–∞, –2)

Step-by-step explanation: