please help please!!!!!!​

Answer:

12

Step-by-step explanation:

Given

\(\frac{1}{2}\) x - \(\frac{5}{4}\) + 2x = \(\frac{5}{6}\) + x

Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions

6x - 15 + 24x = 10 + 12x

Answer:

12

Step-by-step explanation:

\(12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)\)

6x-15+24x=10+12x

Answer:

Area of triangle=

1/2bh

=1/25×9

=22.5

the answer is 22.5

Answer:

B

Step-by-step explanation:

9x5=45

then you do 45 divided by 2= 22.5

you divide because of the line and because its a triangle

im right trust me

To find the recursive formula of an arithmetic sequence, we need to identify the common difference between consecutive terms.

In this sequence, each term is decreasing by 7, so the common difference is -7.

Therefore, the recursive formula for this sequence is:

c(1) = 13 (the first term of the sequence)

c(n) = c(n-1) - 7 (the nth term is the previous term minus 7)

So we can use this formula to find any term in the sequence by recursively subtracting 7 from the previous term, starting with c(1) = 13.

For example:

c(2) = c(1) - 7 = 13 - 7 = 6

c(3) = c(2) - 7 = 6 - 7 = -1

c(4) = c(3) - 7 = -1 - 7 = -8

and so on.

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Inductive reasoning is drawing conclusions from specific observations, while deductive reasoning is deriving conclusions based on general principles.

Inductive reasoning starts with specific observations and aims to form a more general conclusion. For example, noticing that every cat you’ve seen has whiskers, you might conclude that all cats have whiskers.

Deductive reasoning starts with general principles and applies them to specific situations. For example, knowing that all mammals have fur, you might deduce that a specific animal, a dog, is a mammal because it has fur.

Deductive reasoning is considered more reliable than inductive reasoning because if the general principles are true and the reasoning is correct, the conclusion must also be true. On the other hand, inductive reasoning can lead to false conclusions if the observations are limited or unrepresentative.

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Answer:

G 1.3 liters

Step-by-step explanation:

5.5 * 240 = 1,320

1,000 milliliters in a liter

1,320/1000 = 1.3

Answer:

g 1.3

Step-by-step explanation:

Answer:

it doesnt say any statement at all can you add them

If the  dividend of  $1.50 is expected in two months. The European put price is $3.03.

Given:

K=50, r=0.1, σ=0.3, and T=0.25

First step is to find the stock price

S0 = 50−1.50e^ -0.1667×0.1

SO=48.52

Second step is to find di and d2

d1=In(48.52/50)+(0.1+0.09/2)0.25/0.3√0.25

d1 = 0.0414

d2=d1-0.3√0.25

d2 = -0.1086

Third step is to calculate European put price

European put price=-50N(0.1086)e^ -0.1×0.25−48.52N(−0.0414)

European put price=50×0.5432e -^0.1×0.25−48.52×0.4835

European put price=$3.03

Therefore If the  dividend of  $1.50 is expected in two months. The European put price is $3.03.

The complete question is:

A company stock price is $50  a dividend of $1.50 is expected in two months, risk-free rate is 10% per annum, stock price volatility is 30%  with continuous compounding for all maturities. What difference does it make to your calculations.

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Answer:

A and C

Step-by-step explanation:

3:6 Divide both sides by 3 => 1:2

3:6 multiply both sides by 4 => 12:24

(i) The 90% confidence interval for the population parameter is (27.37, 45.79).

(ii) The interval (boundary values) of the 90% confidence interval is shown on the distribution graph.

After calculating the lower and upper limits using the formula above, the interval is found to be (27.37, 45.79) and  we can be 90% confident that the population parameter lies within this range.

Given the following information:

Random sample of 18 students

Sample standard deviation = 10.49

90% confidence interval

To find:

(i) Form a 90% confidence interval for the population parameter.

(ii) Show the interval (boundary values) on the distribution graph.

The population variance can be estimated using the sample variance. Since the sample size is small (n < 30) and the population variance is unknown, we will use the t-distribution instead of the standard normal distribution (z-distribution). The t-distribution has fatter tails and is flatter than the normal distribution.

The lower limit of the 90% confidence interval is calculated as follows:

Lower Limit = sample mean - (t-value * standard deviation / sqrt(sample size))

The upper limit of the 90% confidence interval is calculated as follows:

Upper Limit = sample mean + (t-value * standard deviation / sqrt(sample size))

The t-value is determined based on the desired confidence level and the degrees of freedom (n - 1). For a 90% confidence level with 17 degrees of freedom (18 - 1), the t-value can be obtained from a t-table or using statistical software.

After calculating the lower and upper limits using the formula above, the interval is found to be (27.37, 45.79).

(ii) Showing the interval (boundary values) on the distribution graph:

The distribution graph of the 90% confidence interval of the variance of the students' final grade is plotted. The range between 27.37 and 45.79 represents the interval. The area under the curve between these boundary values corresponds to the 90% confidence level. Therefore, we can be 90% confident that the population parameter lies within this range.

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$0.008453504 because there are 0.264172 gallons in a litre.

Answer:

84 cents per liter

Step-by-step explanation:

1 gallon = 3.78541 liters

$3.20 / 3.78541 = 0.84

\(\huge \underline\frak \red{Answer}\)

Consider a& d are the first & common difference. So, 4th term & 6th term is a+3d & a+5d respectively.Then,

a+3d= 24 & a+5d=96

Subtracting 4th term from 6th term,

or, 2d = 72

Therefore, d= 36

Putting the value of d= 36 in a+3d=24,then

a= 24–3d=24–3×36=24–108=(-84)

Now, we have,

a=(-84), d= 36, n=10

Sum of first 10 term,

S10=10/2[2×(-84)+(10–1)36] [S(n)=n/2{2a+(n-1)d}]

=5[-168+9×36]

=5[-168+324]

=5×256

=1280

Answer:

Step-by-step explanation:

sin(45) x sin(60) = 1 - \(\frac{\sqrt{3}}{\sqrt{2}}\)

This equation is false...

sin(45) * sin(60) = 0.612372435

1 - \(\frac{\sqrt{3}}{\sqrt{2}}\) = -0.456475315

Answer:

33x12.50R15)

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

plug in y to x:

15x + 5(8 - 3x) = 20

15x + 40 - 15x = 20 ( you would subtract 15x from 15x.)

0 + 40 = 20

40 = 20

40 does not equal 20 so it would be no solutions.

Using substitution, the system above has no solutions.

Given  that,

Based on the above information, the calculation is as follows:

  Here we put the y value

15x + 5(8 - 3x) = 20

15x + 40 - 15x = 20  

0 + 40 = 20

40 = 20

Since 40 does not equal 20 so it would be no solutions.

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False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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In mathematics, linear programming is a technique for maximizing operations under certain restrictions.

Using the mathematical modeling technique of linear programming, a linear function is maximized or minimized depending on the restrictions it is subjected to. This method has proved helpful for directing quantitative judgments in business planning, industrial engineering, and—to a lesser extent—in the social and physical sciences.

In mathematics, linear programming is a technique for maximizing operations under certain restrictions. Maximizing or minimizing the numerical value is the primary goal of linear programming. It comprises of linear functions that are subject to restrictions in the form of inequalities or linear equations.

Therefore, the correct answer is option A. this is a binding constraint, so there is no slack or surplus.

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The Root Cause Analysis technique used to identify the underlying causes of a problem is the Ishikawa diagram. It is a graphical tool also known as the Fishbone diagram or Cause and Effect diagram. The other techniques mentioned, such as the Rule of 72, Marginal Analysis, and Bayesian Thinking, are not specifically associated with Root Cause Analysis.

Root Cause Analysis is a systematic approach used to identify the fundamental reasons or factors that contribute to a problem or an undesirable outcome. It aims to go beyond addressing symptoms and focuses on understanding and resolving the root causes. The Ishikawa diagram is a commonly used technique in Root Cause Analysis. It visually displays the potential causes of a problem by organizing them into different categories, such as people, process, equipment, materials, and environment. This diagram helps to identify possible causes and facilitates the investigation of relationships between different factors. On the other hand, the Rule of 72 is a mathematical formula used to estimate the doubling time or the time it takes for an investment or value to double based on compound interest. Marginal Analysis is an economic concept that involves examining the additional costs and benefits associated with producing or consuming one more unit of a good or service. Bayesian Thinking is a statistical approach that combines prior knowledge or beliefs with observed data to update and refine probability estimates. In the context of Root Cause Analysis, the Ishikawa diagram is the technique commonly used to visually analyze and identify the root causes of a problem.

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a. Odds in favor of rolling a sum equaling 7: 1:6

b. Odds in favor of rolling a sum greater than 4: 5:12

c. Odds in favor of rolling a sum less than or equal to 8: 5:6

d. Odds in favor of rolling a sum that is an odd number: 1:2

To find the odds in favor of rolling a specific sum on two dice, we need to determine the number of favorable outcomes (the sum we want) and the number of possible outcomes.

a. To find the odds in favor of rolling a sum equaling 7, we need to determine the number of ways we can obtain a sum of 7. There are six possible outcomes when rolling two dice (1,1), (1,2), (1,3), (1,4), (1,5), and (1,6) that add up to 7. Therefore, the odds in favor of rolling a sum equaling 7 are 6 favorable outcomes out of a total of 36 possible outcomes, which simplifies to 1:6.

b. To find the odds in favor of rolling a sum greater than 4, we need to determine the number of ways we can obtain a sum greater than 4. There are 12 possible outcomes that result in a sum greater than 4: (2,3), (2,4), (2,5), (2,6), (3,2), (3,3), (3,4), (3,5), (3,6), (4,2), (4,3), and (4,4). Therefore, the odds in favor of rolling a sum greater than 4 are 12 favorable outcomes out of 36 possible outcomes, which simplifies to 5:12.

c. To find the odds in favor of rolling a sum less than or equal to 8, we need to determine the number of ways we can obtain a sum less than or equal to 8. There are 30 possible outcomes that result in a sum less than or equal to 8. Therefore, the odds in favor of rolling a sum less than or equal to 8 are 30 favorable outcomes out of 36 possible outcomes, which simplifies to 5:6.

d. To find the odds in favor of rolling a sum that is an odd number, we need to determine the number of ways we can obtain an odd sum. There are 18 possible outcomes that result in an odd sum: (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (3,6), (4,1), (4,3), (4,5), (5,2), (5,4), (5,6), (6,1), (6,3), and (6,5). Therefore, the odds in favor of rolling a sum that is an odd number are 18 favorable outcomes out of 36 possible outcomes, which simplifies to 1:2.

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The products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 in the presence of a platinum catalyst are related as enantiomers.

Hence, the correct option is E.

Enantiomers are stereoisomers that are non-superimposable mirror images of each other. In this case, the (E)- and (Z)-isomers have different spatial arrangements around the C=C double bond. When they react with D2 in the presence of a platinum catalyst, the deuterium atoms add to the double bond, resulting in two new chiral centers.

Since the two isomers have different spatial arrangements around the double bond, the addition of deuterium atoms will produce enantiomeric products. Therefore, the products obtained from the reactions of (E)- and (Z)-hex-3-ene with D2 are related as enantiomers.

Hence, the correct option is E.

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Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

Step-by-step explanation:

3.4 times 2 is 6.8

pemdas for the second one. 2 times 6 is 12. 33+10-12, 31

102/22

4.3636

Answer:

1: 6.8

Work: 3.4 divided by 2 equals 6.8

2: 246

Work: 33 plus 10 minus 2 times 6 equals 246

3: 4

Work: 102 divided by 22 equals 4

Step-by-step explanation: I hope this helps! :)

Answer:

A. 72

B. 3

C. 135

Step-by-step explanation:

A. 12 x 6 = 72

B. 15 x 3 = 45 so Nina raise 3x more money than Sandra

C. 45 x 3 = 135

The probability of rejecting the loan application is 0.082. Given that, Ahmad serves 35% of the customers and rejects 12% of the loan applicationsRami serves 35% of the customers and rejects 7% of the loan applicationsShadi serves 30% of the customers and rejects 6% of the loan applications.

We need to calculate the probability of rejecting the loan application regardless of who serves the customerP(rejecting the loan application) = P(Ahmad serves the customer and rejects the loan) + P(Rami serves the customer and rejects the loan) + P (Shadi serves the customer and rejects the loan)P(rejecting the loan application) = (0.35 × 0.12) + (0.35 × 0.07) + (0.30 × 0.06)P(rejecting the loan application) = 0.042 + 0.0245 + 0.018P(rejecting the loan application) = 0.0845P

(rejecting the loan application) = 0.082Hence, the probability of rejecting the loan application is 0.082. Therefore, the correct option is 2. 00.082.

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Answer:

110

Step-by-step explanation:

The vertices of the reflected triangles are T'(x, y) = (0, 2), R'(x, y) = (2, 1) and I'(x, y) = (4, 4).

In this question we have the coordinates the three vertices of the original triangle and the coordinates of the new triangle as a consequence of a reflection across the x-axis are determined by the following formula:

P'(x, y) = P(x, y) - (0, 2 · \(y_{P}\))       (1)

Where:

If we know that T(x, y) = (0, - 2), R(x, y) = (2, - 1) and I(x, y) = (4, - 4), then the  coordinates of the reflected triangle are:

T'(x, y) = (0, - 2) - (0, - 4)

T'(x, y) = (0, 2)

R'(x, y) = (2, - 1) - (0, - 2)

R'(x, y) = (2, 1)

I'(x, y) = (4, - 4) - (0, - 8)

I'(x, y) = (4, 4)

The vertices of the reflected triangles are T'(x, y) = (0, 2), R'(x, y) = (2, 1) and I'(x, y) = (4, 4).

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Answer:

The total would be 36,600.

Step-by-step explanation:

First you will convert 33 months into years which is 2 years and 10 months.

You will then add the 2 years and the 11 years together which gets you 13 so now you have a total of 13 years and 10 months. (this information will be used later)

Now we will start by multiplying the 20000 by 16% and we should get a total of 1200. That means the interest is 1200 per year so lets first take our 13 years and multiply it by the 1200 (13x1200). You should have 15600 as an answer (save this number for later) since we have 10 months were going to take that 1200 and divide it into 12 month meaning the monthly interest should be 100 per month since we have 10 months we will multiply 100 by 10 and get 1000. Now lets bring back that 15600 and add the additional 1000 to it, our answer should be 16,600, and then we add the original 20000 to the 16600 and your final answer should be 36600.

Answer:

lâp bảng  

Step-by-step explanation:

X=0 thì xác suất lấy ra được sản phẩm tốt là 5*30%=1,5%

X =1 thì xác suất lấy ra được là 1* 70%*4*30%=0,84%

X=2 thì xác suất lấy ra được sản phẩm tốt là 2*70%*3*30%=1,26%

X=3 thì xác suất lấy ra được sản phẩm tốt là 3*70%*2*30%=1,26%

X=4 thì xác suất lấy ra được sản phẩm tốt là 4*70%*1*30%=0,84%

X=5 thì xác suất lấy ra được sản phẩm tốt là 5*70%=3,5%

X 0 1 2 3 4 5

P 1,5 0,84 1,26 1,26 0,84 3,5

b,

E(x)= 1,5*0+ 0,84*1+1,26*2+1,26*3+0,84*4+3,5*5=28

E(x^2)=1,5*0^2+0,84*1^2+1,26*2^2+1,26*3^2+0,84*4^2+3,5*5^2=118,16

===> V(x)= (E(x))^2-E(x^2)=28^2-118,16=665,84

The greatest possible relative error in the volume of the pyramid, considering the given relative errors in the measurements, is 5.67%.

To find the greatest possible relative error in the volume of the pyramid, we can use differentials and linear approximations. Let's denote the length and width of the base as L and W, respectively, and the height as H. The volume V of a rectangular pyramid is given by V = (1/3) * L * W * H.

To find the relative error in the volume, we need to consider the relative errors in L, W, and H. The relative error in L and W is 1%, which means the absolute error in L and W is (0.01 * L) and (0.01 * W), respectively. The relative error in H is 5%, which means the absolute error in H is 0.05 * H.

Using differentials, we can approximate the change in volume dV as:
dV ≈ (∂V/∂L) * dL + (∂V/∂W) * dW + (∂V/∂H) * dH

Differentiating V with respect to L, W, and H, we have:
∂V/∂L = (1/3) * W * H
∂V/∂W = (1/3) * L * H
∂V/∂H = (1/3) * L * W

Substituting these values, we get:
dV ≈ (1/3) * W * H * dL + (1/3) * L * H * dW + (1/3) * L * W * dH

Now, let's find the maximum possible relative error in V, which is given by:
(Maximum relative error in V) / (V) = (|dV|) / (V)
Max |dV| = (1/3) * W * H * |dL| + (1/3) * L * H * |dW| + (1/3) * L * W * |dH|

Substituting the absolute errors, we have:
Max |dV| = (1/3) * W * H * (0.01 * L) + (1/3) * L * H * (0.01 * W) + (1/3) * L * W * (0.05 * H)

Simplifying the expression, we get:
Max |dV| = (0.01/3) * (L * W * H) + (0.01/3) * (L * W * H) + (0.05/3) * (L * W * H)
Max |dV| = (0.01/3 + 0.01/3 + 0.05/3) * (L * W * H)
Max |dV| = (0.17/3) * (L * W * H)
Max |dV| = 0.0567 * (L * W * H)

Therefore, the greatest possible relative error this causes in the volume of the pyramid is 0.0567 or approximately 5.67%.

In conclusion, the greatest possible relative error in the volume of the pyramid, considering the given relative errors in the measurements, is 5.67%.

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The probability is 5/32.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

To roll exactly 4 odds out of 5 rolls is \((\frac{1}{2} )^{4}\frac{1}{2}\)  where the odds are 1, 3, and 5 for 3/6=1/2 and the other 1/2 is the probability of rolling an even since we want exactly 4 odds.

Since there are 5 dice being rolled there are 5 ways to order them.

So the probability is 5/32.

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