Determine the value of y in the diagram.
y
44°
y=
12 cm
Give your answer correct to 1 decimal place.
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cm

named width in java with a value of 1.55.

double length = 3.5; double width = 1.55;

Double is a data type in Java that supports storing decimal numbers. It is used to represent values that include a fractional component and is a 64-bit floating-point data type. When exact decimal numbers are required, as in financial or scientific computations, the double data type is frequently utilized. A double's range is roughly  ±\(5.0 \times 10^{-324}\) to ±\(1.7 \times 10^{308\) having a 15–17 decimal digit degree of accuracy.

For example:

double myDouble = 3.14; Alternatively, you may define a double variable without first giving it a value and then give it one later on in your code.

3.5 double length, 1.55 double width;

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If 8 men and 8 women collaborate, the task can be finished in 36 days for the former and 45 days for the latter.

Using the following formula, we can determine the total quantity of work that needs to be done.

Total work equals (people) ×(time spent).

The first scenario is as follows:

Total work is equal to (288 man-days)= (12 men x 24 days)

Total work is calculated as (15 women) x (24 days) = (360 woman-days).

Using the same approach, we can now determine how many days it would take eight people—either eight men or eight women—to do the same amount of work:

Eight men:

Total labor: (8 men)× (time required)

288 man-days = (8 men) × (time taken)

time taken = 36 days

Eight women:

total work = (8 women) × (time taken)

360 woman-days = (8 women) × (time taken)

time taken = 45 days

Thus, if 8 males collaborate, they can finish the job in 36 days, and if 8 women collaborate, they can finish the job in 45 days.

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Charlie

Here, we want to check if polynomials is closed under subtraction or not

To check this, we proceed either ways, if the answer is same, then it is closed. If otherwise, then it is not

We have;

As we can see, both results are not equal

If subtraction was closed under polynomials, then the results of both should have been equal. This means Charlie is correct.

Given: A file that is 234 megabytes is being downloaded. The download is 14.2% complete.

Required: How many megabytes have been downloaded.

Explanation:

Since 14.2% of 234 is downloaded, therefore

So 33.228 MB download is complete.

Rounding off to nearest tenth

33.2 Megabytes is downloaded.

Final Answer: 33.2Megabytes is downloaded.

The four points on the lemniscate where the tangent is horizontal are (0, ±a/sqrt(2)) and (±sqrt(a^2 - x^2), ±sqrt(a^2 - x^2)), where x is a solution of the equation x(x^2 + y^2 - 2a^2) = 0

Explanation: The lemniscate is given by the equation (x^2 + y^2)^2 = 2a^2(x^2 - y^2), where a is a positive constant. To find the points on the lemniscate where the tangent is horizontal, we differentiate this equation with respect to x:

d/dx [(x^2 + y^2)^2] = d/dx [2a^2(x^2 - y^2)]

2(x^2 + y^2)(2x + 2y dy/dx) = 4a^2x

To find the values of x where the tangent is horizontal, we set the derivative dy/dx equal to zero, since a horizontal tangent has zero slope. This gives:

2(x^2 + y^2)(2x) = 4a^2x

(x^2 + y^2)(2x) = 2a^2x

x(x^2 + y^2 - 2a^2) = 0

Thus, we have two possible values of x: x = 0 and x^2 + y^2 = 2a^2. To obtain the corresponding values of y, we substitute these values of x into the equation of the lemniscate:

When x = 0, we have y = ±a/sqrt(2), corresponding to the two points (0, ±a/sqrt(2)) on the lemniscate where the tangent is horizontal.

When x^2 + y^2 = 2a^2, we have y = ±sqrt(2a^2 - x^2), corresponding to the two pairs of points on the lemniscate where the tangent is horizontal: (±sqrt(a^2 - x^2), sqrt(a^2 - x^2)) and (±sqrt(a^2 - x^2), -sqrt(a^2 - x^2)).

Therefore, the four points on the lemniscate where the tangent is horizontal are (0, ±a/sqrt(2)) and (±sqrt(a^2 - x^2), ±sqrt(a^2 - x^2)), where x is a solution of the equation x(x^2 + y^2 - 2a^2) = 0.

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bisects x = -12AB / (2AB - 6BD)

m∠ABC = 6x

= 6 × (-12AB / (2AB - 6BD))

To solve for x and find the measure of angle ABC (m∠ABC), we will apply the angle bisector theorem and use the given information.

According to the angle bisector theorem, the ratio of the lengths of the segments created by an angle bisector is equal to the ratio of the measures of the angles formed by the bisector.

Let's set up the equation using the given information:

m∠ABD = 6x (angle ABD)

m∠DBC = 2x + 12 (angle DBC)

Using the angle bisector theorem, we have:

AB/BD = m∠ABD/m∠DBC

Since BD bisects ∠ABC, we can substitute the given measures into the equation:

AB/BD = (6x) / (2x + 12)

To solve for x, we can cross-multiply:

AB × (2x + 12) = BD × (6x)

Expanding both sides of the equation:

2ABx + 12AB = 6BDx

Rearranging the equation:

(2AB - 6BD)x = -12AB

Now we can isolate x:

x = -12AB / (2AB - 6BD)

The measure of angle ABC (m∠ABC), we substitute the value of x back into the expression:

Simplifying this expression further would require additional information about the lengths of AB and BD.

Without this information, we cannot find the exact value of m∠ABC.

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Answer:

its -4

Step-by-step explanation:

it is im sure of it also in mx+b b=y intercep so yea

Answer:

Midpoint: (2.4, -1)

Step-by-step explanation:

Midpoint Formula: \((\frac{x1+x2}{2} , \frac{y1+y2}{2} )\)

With that in mind,

(3.2 + 1.6)/2 = 2.4

(2.5 - 4.5)/2 = -1

Answer:

(2.4, -1)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates

(3.2+1.6)/2 = 4.8/2 = 2.4

To find the y coordinate of the midpoint, average the y coordinates

(2.5+-4.5)/2 = -2/2 = -1

(2.4, -1)

The number of ways to seat five distinct Martians and eight distinct Jovians at a circular table, such that no two Martians sit together, is given by the product of the number of ways to arrange the Martians and the number of ways to arrange the Jovians.

To find the number of ways to arrange the Martians, we can fix one Martian at a position on the table. The remaining four Martians can be arranged in 4! = 24 ways around the table. Since the table is circular, we need to divide this number by 5 to account for the circular permutations. Therefore, the number of ways to arrange the Martians is 24/5 = 4.

Next, we consider the Jovians. There are 8! = 40,320 ways to arrange them in a linear fashion. However, since the table is circular, we need to divide this number by 8 to account for the circular permutations. Therefore, the number of ways to arrange the Jovians is 8!/8 = 5,040.

Finally, we multiply the number of ways to arrange the Martians (4) by the number of ways to arrange the Jovians (5,040) to get the total number of seating arrangements: 4 * 5,040 = 20,160.

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If P(A) = 7/13, P(B) = 5/13, and P(A and B) = 3/13, then the probability of P(AIB) = 3/5.

Probability is a measure of the likelihood of an event occurring. Many events cannot be predicted with absolute certainty. We can only predict the probability of an event by using it, i.e. the probability of it occurring.

The probability can range from 0 to 1, where 0 means the event is unlikely to happen and 1 means it will definitely happen. All events in the sample space have a probability of 1. For example, when we flip a coin, heads or tails, there are only two possible outcomes (H, T). But when you toss two coins, there are four possible outcomes, namely {(H, H), (H, T), (T, H), (T, T)}.

According to the Question:

Given that:

P(A) = 7/13

P(B) = 5/13

P(A∩B) = 3/13

We know that :

P(A|B) = P(A∩B) / P(B).

(By formula for conditional probability)

P(AIB) = (3/13)÷ (5/13)

          = 3/5

Hence, the value of P(A|B) = 3/5.

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Answer:

1200

Step-by-step explanation:

12 multiplied by 2 is 24.

24 divided by 2 is 12.

12 times 100 is 12 plus 2 zeros, or 1200.

Answer:

See below.

Step-by-step explanation:

A. <2 is congruent to <3

B. <3 is congruent to <7

From the given question the prices of the same car in different countries best value for the car is in the USA with a price of 16000 euros.

We can use the currency conversion rates to compare the prices of the same car in different countries.

The prices of the same car in different countries are as follows:

USA: $20000

Ireland: €17500

England: £15000

Japan: ¥3000000

To compare these prices, we need to convert them to a common currency.

Here, we can use the conversion rates given in the question:

1 pound = 1.18 euro

1 pound = 140 yen

1 pound = 1.25 dollars

Price of car in euros in Ireland: 17500 euros

Price of car in pounds in England: 15000 pounds = 15000 x 1.18

= 17700 euros

Price of car in dollars in USA: 20000 dollars

= 20000 / 1.25 = 16000 euros

Price of car in yen in Japan: 3000000 yen = 3000000 / 140

= 21428.57 euros

Best value for the car is in the USA with a price of 16000 euros.

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The 80% confidence interval estimate of the population mean rating for DFW airport can be calculated using the formula:

Margin of error = (Z-score)*(standard deviation/sqrt(sample size))

where the Z-score for 80% confidence level is 1.28.

So, the margin of error = (1.28)*(0.55/sqrt(25)) = 0.28.

Therefore, the confidence interval estimate can be calculated by subtracting and adding the margin of error to the sample mean:

Confidence interval = sample mean ± margin of error
Confidence interval = 3.84 ± 0.28
Confidence interval = (3.56, 4.12)

The question requires us to find an 80% confidence interval estimate for the population mean rating of DFW airport using a sample of 25 travelers. The formula for the margin of error is used to calculate the range of values within which the population mean is likely to fall. The Z-score for the 80% confidence level is used in the formula. We then use this margin of error to calculate the confidence interval estimate by adding and subtracting it from the sample mean. This gives us a range of values within which we can be confident that the population mean rating falls.

The 80% confidence interval estimate for the population mean rating of DFW airport is (3.56, 4.12). This means that we can be 80% confident that the population mean rating falls within this range of values. The sample mean of 3.84 is the best estimate of the population mean rating, and the margin of error of 0.28 indicates the level of uncertainty in this estimate.

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The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.

Hence, The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.

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Therefore, the probability of having at least 50 smokers in a sample of 300 adults is: 0.7467 or about 74.67%.

This problem can be solved using the binomial distribution, where X represents the number of smokers in a sample of size n = 300. We are interested in finding the probability that at least 50 are smokers, which can be written as:

P(X >= 50)

To calculate this probability, we need to use the binomial probability formula:

\(P(X = k) = C(n, k) * p^k * (1-p)^{(n-k)}\)

where C(n, k) is the number of combinations of n items taken k at a time, p is the probability of success (being a smoker), and 1-p is the probability of failure (not being a smoker).

Since we are interested in at least 50 smokers, we need to calculate the probabilities for X = 50, 51, 52, ..., 300 and add them up. However, this would be very time-consuming and cumbersome. Fortunately, we can use the complement rule and calculate the probability of the complement event (i.e., fewer than 50 smokers), which is easier to compute:

P(X < 50) = P(X <= 49)

To calculate this probability, we can use a binomial probability calculator or a statistical software package. Using a binomial calculator, we find:

P(X <= 49) = 0.2533

Therefore, the probability of having at least 50 smokers in a sample of 300 adults is:

P(X >= 50) = 1 - P(X < 50) = 1 - 0.2533 = 0.7467

So the probability that at least 50 are smokers is 0.7467 or about 74.67%.

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Answer:

15pi/7 - 13 pi/7

Step-by-step explanation:

to find a positive and negative coterminal angle

● add and subtract 2pi to the given angle

pi/7+2pi=pi/7+14pi/7=15pi/7 positive

pi/7-2pi=pi/7-14pi/7= -13pi/7 negative

Answer: A): 15.90 ounces to 16.4 ounces.

Step-by-step explanation:

Considering the standard deviation is 0.25 ounces. The mean of the juice is 16.15 ounces. Additionally, 68% is one standard deviation away from the mean.

With that being said, you would do the following calculations:

\(16.15-0.25=15.90\\\\16.15+0.25=16.40\)

This question relates to The Empirical Rule and understanding how it works. A brief summary is that within one standard deviation of the mean, that is where 68% of the data lies. Two standards deviations is 95%. And three standard deviations is 99.5%.

The formula: \(u\frac{+}{-} o\)

the mean PLUS OR MINUS the standard deviation.

Answer:

A

Step-by-step explanation:

Answer:

10.50$

Step-by-step explanation:

The required mean, variance and standard deviation of Y are 9, 320/27, and 3.26 respectively.

Let X be the random variable indicating the number of Tails in a loaded coin flipped three times. P(H) = 2/3 and P(T) = 1/3. So, the probability distribution of this experiment can be tabulated as follows:

X | 0 | 1 | 2 | 3P(X) | (1/27) | (6/27) | (12/27) | (8/27)

Now, we will find the mean, variance, and standard deviation of X:

Mean: E(X) = ΣXP(X)= 0 × (1/27) + 1 × (6/27) + 2 × (12/27) + 3 × (8/27)= 2

Variance: Var(X) = Σ[X - E(X)]²P(X)= [0 - 2]² × (1/27) + [1 - 2]² × (6/27) + [2 - 2]² × (12/27) + [3 - 2]² × (8/27)= (4/27) + (8/27) + 0 + (8/27)= 20/27

Standard deviation: sX = √(Var(X))= √(20/27)= 0.84

Now, we will find the mean, variance, and standard deviation of Y:

Y = 1 + 4X

Mean: E(Y) = E(1 + 4X) = E(1) + 4E(X) = 1 + 4(2) = 9

Variance: Var(Y) = Var(1 + 4X) = Var(4X) = 4²Var(X) = 16 × (20/27) = 320/27

Standard deviation: sY = √(Var(Y))= √(320/27)≈ 3.26

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Answer:

hope the pic helps and btw go to besties plz

Step-by-step explanation:

some of the group means are different, but not which pairs of groups.

28+19x=-8+15x​

Move the variable terms ( the one with "x" ) to the left side of the equation.

19x-15x = -8-28

4 x = -36

Divide both sides by 4:

4x/4 = -36/4

x= -9

Answer:

The answer is 7/15

When two fractions, let's say

have different denominators b₁ ≠ b₂, we find the Least common multiple.

We list the multiples of each denominator and we find the smallest common multiple. Then we multiply each term of the fraction in order to have that common multiple as demonimator

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, etc

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, etc

They have as common multiples: 12, 24, 36, 48, etc

The smallest is 12

4 multiplied by 3 results in 12

6 multiplied by 2 results in 12

Then we multiply each part of the fractions

Comparing 1/4 with 1/6 is the same as comparing 2/12 and 3/12

Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

Answer:

22 is the third quartile for this set