How do you find the unknown value of a triangle?

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

let the number be n , then

4 - 4n = 2n ( add 4n to both sides )

4 = 6n ( divide both sides by 6 )

\(\frac{4}{6}\) = n

The number is \(\frac{2}{3}\)

Answer:

Let the number = x

4 - 4x= 2x

4 = 2x+4x

4 = 6x

x = 4/6

x = 2/3

Step by Step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

2 1/3 ft^2

Step-by-step explanation:

Take the area of the rectangle

A = l *w

   4 * 1 1/6

   4 * 7/6

  28/6

Divide this in half since the rectangle is cut in half by using the diagonal

28/6 *1/2

28/12

7/3

Changing to a mixed number

2 1/3

Answer:

4876 acres

Step-by-step explanation:

212 x 23 = 4876

Answer:

Yes!

Step-by-step explanation:

The optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2. To solve the given linear programming (LP) model using the graphical method, we need to graphically represent the feasible region and find the optimal solution by maximizing the objective function.

Step 1: Graph the Constraints

We start by graphing each constraint individually on a coordinate plane.

The first constraint is x - y ≥ 0, which represents the line y = x. We can draw this line on the plane.

The second constraint is x + 2y ≤ 4. To graph this, we can rewrite it as 2y ≤ -x + 4 and then solve for y, which gives y ≤ (-1/2)x + 2. We can plot this line on the graph as well.

The third constraint x ≥ 0 represents the x-axis, and the fourth constraint y ≥ -1 represents the horizontal line y = -1.

Step 2: Identify the Feasible Region

The feasible region is the area where all constraints are satisfied. It is the intersection of the shaded regions formed by the constraints.

Step 3: Identify the Optimal Solution

To find the optimal solution, we need to maximize the objective function Z = x - 2y. The objective function is represented by a line with a positive slope.

By sliding the objective function line parallel to itself from left to right or right to left, we can observe the points of intersection between the objective function line and the feasible region. The point that gives the maximum value of Z within the feasible region is the optimal solution.

Step 4: Determine the Optimal Solution

By visually inspecting the graph, we can see that the objective function line will intersect the feasible region at the corner point (2, 0). This is the optimal solution for the given LP model.

Therefore, the optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2.

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Answer: See below for totals:

Step-by-step explanation:

P(blue and red) = \(\frac{4}{16} *\frac{5}{16} = \frac{20}{256} =\frac{5}{64}\)

P(yellow and green) = \(\frac{1}{16} *\frac{6}{16} =\frac{6}{256} = \frac{3}{128}\)

P(blue or yellow, green) = \(\frac{5}{16} *\frac{6}{16} = \frac{30}{256} =\frac{15}{128}\)

P(green and blue and red) =​\(\frac{6}{16} *\frac{4}{16} *\frac{5}{16} =\frac{120}{4096} =\frac{15}{512}\)

Hope this helps!

Answer:

-9

Step-by-step explanation:

The y component of the unit vector **r^** is approximately 0.2357 meters.

The y component of the unit vector  **r^** between points S and P can be determined by finding the difference in y-coordinates between these two points and dividing it by the magnitude of the displacement vector between them.

The y coordinate difference between S and P is (6 m - 5 m) = 1 m. To find the magnitude of the displacement vector between S and P, we calculate the Euclidean distance between these points:

√[(8 m - 4 m)^2 + (6 m - 5 m)^2 + (4 m - 3 m)^2] = √[16 + 1 + 1] = √18 m

Now, we divide the y coordinate difference by the magnitude of the displacement vector to obtain the y component of the unit vector **r^**:

(1 m) / (√18 m) ≈ 0.2357 m

Therefore, the y component of the unit vector **r^** is approximately 0.2357 meters.

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Answer:

Step-by-step explanation:

Rena Roosh,  fun name  :P  so,  just use  your algebra skillz

2x + 5x = 3x + 16

I'm wondering if there is an extra "x" on the right hand side,  

anyway

7x -3x = 16

4x = 16

x = 4

see??

Answer:

Step-by-step explanation: Perform any simplification of like terms if possible

7x=3x+16

Collect x terms on one side. Can use the left side for x terms. That means 3x must dissapear. To do this we need to take 3x from both sides.

7x-3x=3x-3x+16

4x=16

To solve for x we need to divide by 4 on both sides

4x/4=16/4

x=4

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

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The equation is (x^2 + y^2 - 38x + 6y = -369).

The center of the lake is 19 miles east and 3 miles south of the town hall, which means the coordinates of the center are (19,-3). The radius of the lake is 0.5 miles.

Using the standard equation of a circle, we have:

(x - h)^2 + (y - k)^2 = r^2

where (h,k) is the center of the circle and r is the radius.

Substituting the given values, we get: (x - 19)^2 + (y + 3)^2 = 0.5^2

Expanding the left side, we get: x^2 - 38x + 361 + y^2 + 6y + 9 = 0.25

Simplifying and rearranging terms, we get:

x^2 + y^2 - 38x + 6y + 369.25 = 0.25

Subtracting 369 from both sides, we get:

x^2 + y^2 - 38x + 6y = -369

Therefore, the equation that represents the lake on the map is:

(x - 19)^2 + (y + 3)^2 = 0.5^2, which can be simplified to (x^2 + y^2 - 38x + 6y = -369).

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The effective interest rate of the loan would be

In this case, we are given 4 options:

The formula of compounded interest rate is:

\(A = P (1+\frac{r}{n})^{nt}\)

Where:

A = amount, P = principal amount, r = interest rate, n = number of times interest rate compounded, t = time

Let’s assume the principal amount is $100 for 1 year

Loan L =

\(A = 100 (1+\frac{0.08254}{356})^{356x1}\)

A = $108.603

Loan M =

\(A = 100 (1+\frac{0.08474}{52})^{52x1}\)

A = $108.834

Loan N =

\(A = 100 (1+\frac{0.08533}{12})^{12x1}\)

A = $108.875

Loan O =

\(A = 100 (1+\frac{0.08604}{1})^{1x1}\)

A = $108.604

Therefore, the best effective interest rate for Craig is Loan L with nominal rate of 8.254% compounded daily.

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Answer:

-0.5

-0.3

0.5

0.3

0.44

1.2

1.5

1.8

1.9

-0.9999888575

-0.344

0.5533

0.232

0.974

0.777

1.2222

The result is not statistically significant.

To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level.

The null hypothesis is

H₀ : μ ≥ 1520

The alternative hypothesis is

Hₐ : μ ≤ 1520

then the test statistic is,

t = (x - μ)/(s/√n)

 = (1501 - 1520)/(53/√20)

t = - 1.603

The t-test statistic is - 1.603.

Degree of freedom n - 1 = 20 - 1 = 19

Hence the t-critical value is -1.792.

The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance. There is insignificance evidence indicates that the mean SAT score is less than 1520.

The result is not statistically significant.

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Thus, the correct answer is "Job".

The independent variable which has the weakest association with the dependent variable is "Job".In this question, it is mentioned that the correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. The given correlation table is:

IncomeEducationJobAgeIncome1.000Education0.6771.000Job0.173−0.1811.000Age0.3690.0730.6891.000

Here, the correlation coefficient ranges from -1 to +1. The closer the correlation coefficient is to -1 or +1, the stronger the association between the variables. If the correlation coefficient is closer to 0, the association between the variables is weaker.So, from the given table, it can be observed that the correlation between income and Job is 0.173 which is closer to 0. This indicates that the independent variable Job has the weakest association with the dependent variable (Income).

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Answer:

A. geometric

Step-by-step explanation:

The rule is to divide by 2: if you are dividing or multiplying between each term, then the sequence is geometric.

Arithmetic sequences add or subtract the same number between each term.

Hope this helps.

Answer:

The answer is "\(\text{Total number of boxes} =\frac{a}{n \ boxes}\)"

Step-by-step explanation:

Total pounds carried by the vehicle are "a" pounds.

This will be spread into many boxes, each containing "n" pounds.

It implies that:

\(\text{Total pounds = box number} \times \text{amount of pounds from every box} \\\\a = \text{box number} \times n\\\\\text{Box number} = \frac{a}{n \ boxes}\)

Answer:

The answer is C

Step-by-step explanation:

2:1 means first triangle is double the size of the scale model

Answer: 85

Step-by-step explanation:

\(100-3(3y-4x)\\\\=100-3(3 \cdot 7-4 \cdot 4)\\\\=100-3(21-16)\\\\=100-3(5)\\\\=100-15\\\\=85\)

Answer:

148

Step-by-step explanation:

use bidmas to get final solution

100-3(12-28)

100-3 × (-16)

=148

The standard deviation is relatively small when the data are all concentrated close to the mean, exhibiting little variation or spread.

The standard deviation could be a degree of the changeability or spread of a set of information. It is calculated by finding the square root of the normal of the squared contrasts between each information point and the cruel(mean).

In other words, it tells us how much the information values are scattered around the mean.

When the information is all concentrated near the cruel(mean), it implies that the contrasts between each information point and the cruel are moderately little.

This comes about in a little while of squared contrasts, which in turn leads to a little standard deviation. On the other hand, when the information is more spread out, it implies that the contrasts between each information point and the cruel are bigger.

This comes about in a bigger entirety of squared contrasts, which in turn leads to a bigger standard deviation.

For case, let's consider two sets of information:

Set A and Set B.

Set A:

2, 3, 4, 5, 6

Set B:

1, 3, 5, 7, 9

Both sets have the same cruel(mean) (4.0), but Set A encompasses a littler standard deviation (1.4) than Set B (2.8).

This is because the information values in Set A are all moderately near to the cruel(mean), while the information values in Set B are more spread out.

Subsequently, we will say that the standard deviation is generally small when the information is all concentrated near the mean, showing a small variety or spread.

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There are certainly hidden variables, which is the most likely explanation for this correlation. (C) States with large populations, for instance, will also have a larger percentage of infant death and high school dropouts.

When the values of one variable tend to rise as the values of the other rise, two variables are said to be positively correlated.

When the values of one variable tend to fall as the values of the other rise, two variables are said to be negatively correlated.

A favorable connection occurs when the graph's line is advancing, as in Problem 1.

In this illustration, we make the assumption that the number of years of schooling and the expected pay are positively correlated.

So, in the given situation the most likely explanation for this correlation is that there are likely lurking variables.

For instance, states with big populations will also have a higher proportion of neonatal mortality as well as high school dropouts.

Therefore, there are certainly hidden variables, which is the most likely explanation for this correlation. (C) States with large populations, for instance, will also have a larger percentage of infant death and high school dropouts.

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Complete question:

According to the 1990 census, those states with an above average number X of people who fail to complete high school tend to have an above average number Y of infant deaths. In other words, there is a positive association between X and Y. The most plausible explanation for this association is

a. X causes Y. Thus, programs to keep teens in school will help reduce the number of infant deaths.

b. Y causes X. Thus, programs that reduce infant deaths will ultimately reduce the number of high school dropouts.

c. lurking variables are probably present. For example, states with large populations will have both a larger number of people who fail to complete high school and a larger number of infant deaths.

d. the association between X and Y is purely coincidental. It is implausible to believe the observed association could be anything other than accidental.

Answer:

The possible midpoints of AB are \(\frac{19}{2}\) and \(\frac{13}{2}\).

Step-by-step explanation:

Let suppose that A and B have one-dimensional coordinates. GIven that \(A = 8\) and \(AB = 3\), there are two possible locations for B:

\(B_{1} = A+AB\)

\(B_{1} =8+3\)

\(B_{1} = 11\)

\(B_{2} = A-AB\)

\(B_{2} = 8-3\)

\(B_{2} = 5\)

The midpoint equations for each case are, respectively:

\(m_{1} = \frac{A+B_{1}}{2}\)

\(m_{1}=\frac{8+11}{2}\)

\(m_{1} = \frac{19}{2}\)

\(m_{2} = \frac{A+B_{2}}{2}\)

\(m_{2} = \frac{5+8}{2}\)

\(m_{2} = \frac{13}{2}\)

The possible midpoints of AB are \(\frac{19}{2}\) and \(\frac{13}{2}\).

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

Answer:

3 and 10

Step-by-step explanation:

Answer:

140°

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, thus

∠ K = ∠ M = 140°

Answer:

\(x = - 59\)

Step-by-step explanation:

\((6x + 28) = (7x + 87)\)

\(6x + 28 = 7x + 87\)

\(6x - 7x = 87 - 28\)

\(1x = - 59\)

\(x = - 59\)

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

a) There is not enough information  b) We can conclude that W≻R and W≻G.  c) The probabilities p(G), p(W), and p(R) are the probabilities of getting each drink in the lottery L.  d) The decision would be whether to drink Whisky or Gin.

(a) There is not enough information to determine whether Cohen prefers a glass of Gin to a glass of Whisky because the lotteries L1 and L2 are indifferent. This means that Cohen is equally likely to prefer one lottery to the other. In other words, his utility for Gin is equal to his utility for Whisky.

(b) If we are also told that Cohen prefers Rum to Gin, R≻G, then we can say that he prefers L3 to L1 and L2. This is because L3 has a higher probability of giving him his most preferred drink, Rum, than either L1 or L2. Therefore, we can conclude that W≻R and W≻G.

If G≻R, then we would have L1≻L3 and L2≻L3. This is because L1 and L2 have a higher probability of giving him his most preferred drink, Gin, than L3. However, we know that L3≻L1 and L3≻L2, so this is a contradiction. Therefore, G≻R cannot be true.

(c) A VNM utility function is a function that represents a person's preferences over lotteries. It takes as input a lottery and outputs a real number that represents the person's utility for that lottery. In the case where W≻G, a VNM utility function for Cohen would be of the form:

u(L) = w * p(G) + g * p(W) + r * p(R)

where w is Cohen's utility for Whisky, g is his utility for Gin, and r is his utility for Rum. The probabilities p(G), p(W), and p(R) are the probabilities of getting each drink in the lottery L.

(d) A VNM utility function cannot be used to represent Cohen's preferences because his preferences are not stable. In other words, his preferences change depending on his mood. When he is happy, he prefers Whisky to Gin. But when he is depressed, he prefers Gin to Whisky. This means that his utility for Gin and Whisky cannot be represented by a single number.

To model Cohen's preferences, we would need to use a more complex model that takes into account his mood. One possible model would be a Markov decision process. A Markov decision process is a model that describes how a person's preferences change over time. It takes as input the person's current mood and outputs a decision about what to do.

In the case of Cohen, the decision would be whether to drink Whisky or Gin. The person's mood would be represented by a state variable. The state variable would take on one of two values: happy or depressed. The transition probabilities would describe how likely it is for the person's mood to change from one state to the other. The reward function would describe how much utility the person gets from drinking each drink.

This model would allow us to capture the fact that Cohen's preferences change depending on his mood. It would also allow us to make predictions about how he would behave in different situations.

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The total number of pages that he read will be 210 pages.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Based on the equation given, the equation to represent Amir's information will be:

y = 35 × x

y = 35x

Jesse's equation will be:

y = 30(x + 1)

Then, we'll equate both equations together. This will be:

35x = 30(x + 1)

35x = 30x + 30

35x - 30x = 30

5x = 30

x = 30/5

x = 6

Therefore, the number of pages read will be:

y = 35x

y = 35 × 6

y = 210 pages.

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