find the measure of the angle indicated
Answer:
46 degrees
Step-by-step explanation:
10 , 12 , 13 , 16 , 17 , 23 , 25 , 39
From the list above , write down :
• a prime number that is one more than a square number
Answer:
prime number is 17 and the square number is 16 if you subtract them you get 1 .
Graph the equation y = x + 2
Answer:
I did with geogebra ,it might help you with other questions as well!
A company has a multi-tier investment. They have $40 million in operating expenses each year and a cost of capital of 12%. They can invest $12 million in new technology for their plant. There is a 40% chance that the new equipment reduces expenses by 15%, a 30% chance it reduces expenses by 10%, and a 30% chance it reduces expenses by 5%. Shareholders will view the results after 3 years and vote on continuing or abandoning the project. Abandoning costs the company $5 million. If expenses drop 15%, there is a 95% chance the vote is yes, to continue for another 3 years, If they drop 10%, the vote has a 75% chance to be yes. If expenses only drop 5%, there is a 40% change the shareholders vote to continue the project. Draw out the timeline, decision tree, and calculate the probabilities for all six possible scenarios.
The probabilities for all six possible scenarios based on the given information. The likelihood of each scenario and its respective outcome have been determined by multiplying the probabilities of the relevant events.
To analyze the given scenario and calculate the probabilities for all six possible scenarios, let's create a decision tree and timeline to visualize the information provided.
Timeline:
Year 1: Initial investment of $12 million in new technology.
Year 2: Results evaluated by shareholders.
Year 3: Final decision made by shareholders.
Decision Tree:
``` ┌─── Continue (95%)
│
15% ─────┼─── Continue (75%)
│
$12 million ─────┼─── Continue (40%)
investment │
│
10% ─────┼─── Abandon ($5 million cost)
│
│
5% ─────┼─── Abandon ($5 million cost)
│
└─── Abandon ($5 million cost)
```
Now, let's calculate the probabilities for each scenario:
1. New equipment reduces expenses by 15% (40% probability):
Probability = 40% * 95% = 0.4 * 0.95 = 0.38 (38%)
Outcome: The shareholders vote to continue for another 3 years.
2. New equipment reduces expenses by 10% (30% probability):
Probability = 30% * 75% = 0.3 * 0.75 = 0.225 (22.5%)
Outcome: The shareholders vote to continue for another 3 years.
3. New equipment reduces expenses by 5% (30% probability):
Probability = 30% * 40% = 0.3 * 0.4 = 0.12 (12%)
Outcome: The shareholders vote to continue for another 3 years.
4. New equipment does not reduce expenses (10% probability):
Probability = 10%
Outcome: The shareholders vote to abandon the project, incurring a $5 million cost.
5. New equipment reduces expenses by 15%, but shareholders vote to abandon (5% probability):
Probability = 15% * (1 - 95%) = 0.15 * 0.05 = 0.0075 (0.75%)
Outcome: The shareholders vote to abandon the project, incurring a $5 million cost.
6. New equipment reduces expenses by 10%, but shareholders vote to abandon (5% probability):
Probability = 10% * (1 - 75%) = 0.1 * 0.25 = 0.025 (2.5%)
Outcome: The shareholders vote to abandon the project, incurring a $5 million cost.
To summarize, we have calculated the probabilities for all six possible scenarios based on the given information. The likelihood of each scenario and its respective outcome have been determined by multiplying the probabilities of the relevant events.
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Andrew bought a new computer for $2,100. The value of the computer decreases by 30% annually. Let y represent the value of the computer after x years.
Which type of sequence does the situation represent?
The situation represents an arithmetic sequence because the successive y-values have a common difference of 0.3.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 30.
The situation represents a geometric sequence because the successive y-values have a common ratio of 0.3.
The situation represents a geometric sequence because the successive y-values have a common ratio of 0.7.
Answer:
Hi there! I just answered this question and the situation represents a geometric sequence because the successive y-values have a common ratio of 0.7.
Step-by-step explanation:
Every year, the value of the computer decreases by 30%.
The value of the computer is originally $2,100. Determine the value of the computer after one year by subtracting 30% of the original value.
2,100 - 0.30(2,100) = 2,100 - 360 = 1,470
The cost of the computer after one year will be $1,470 and the original cost was $2,100. Find the ratio of these two values.
1,470/2,100 = 0.7!
Therefore, after one year, the value of the computer is 0.7 times the value of the computer the previous year. Since the value is decreasing 30% annually, this trend will continue each year.
So, the situation represents a geometric sequence because the successive y-values have a common ratio of 0.7.!
Hope this helps I was confused too!
Answer:
0.7
got it right.
4 (x -1) >1/2 ( 4 + 12x)
Answer:
X<-3
Step-by-step explanation:
4 ( x - 1 ) > (1/2) ( 4 + 12x )
4x - 4 > 2 + 6x
-2 -4 > 6x - 4x
-6 > 2x
x < -3
RBT/Z + H/K = M, Solve for H
Answer:
H = MK - RBTK/ZStep-by-step explanation:
Given
RBT/Z + H/K = MSolving for H
RBT/Z + H/K = MK×RBT/Z + K×H/K = K×M ⇒ multiplying all terms by K to clear fractionRBTK/Z + H = MKRBTK/Z + H - RBTK/Z= MK - RBTK/Z ⇒ subtracting RBTK/Z from both sidesH = MK - RBTK/Za sample of adults was asked to indicate the amount of money, in dollars, they would be willing to spend on a wedding gift. when a histogram was constructed based on the responses given by each adult, most of the dollar amounts were on the larger side, with only a few dollar amounts on the smaller side. the mean of the distribution was $174, and the median was $205. from this information, we can infer the distribution has a shape that is
The distribution is positively skewed or right-skewed.
From the given information, we can infer that the distribution of the dollar amounts for wedding gifts is skewed to the right or positively skewed.
The mean ($174) is smaller than the median ($205), indicating that the distribution is not symmetric. In a symmetric distribution, the mean and median would be approximately equal.
Since most of the dollar amounts were on the larger side and only a few dollar amounts were on the smaller side, this suggests that the majority of respondents were willing to spend higher amounts on wedding gifts. As a result, the tail of the distribution extends towards the larger values, causing the distribution to be skewed to the right.
Therefore, the distribution is positively skewed or right-skewed.
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find the perfect square of 57600
Answer:
240
Step-by-step explanation:
PLZZZZ HELP WILL GIVE BRAINLEST
3) 0.0199
As scientific notation
Answer:
1.99·10^-2
Step-by-step explanation:
you go over 2 places to the right, (2) then, since its right, its negative.
solve for X! please answer fast!!
x^3 = 1/8
Answer: 1/2
Just cube root both sides.
Answer:
[tex]x=0.5[/tex]
Step-by-step explanation:
[tex]x^3=\frac{1}{8}[/tex]
Take the cube root out.
[tex]x=(\frac{1}{8})^{(\frac{1}{3}) }[/tex]
Answer:
[tex]\boxed{x=0.5}[/tex]
Evaluate the expression for each value of x. √3x + 7 - X (a) x = -2 (b) x = 3
We need to evaluate the given expression, √3x + 7 - x, for two different values of x: (a) x = -2 and (b) x = 3.
For x = -2:
Plugging in the value of x, we have √3(-2) + 7 - (-2).
Simplifying this expression, we get √(-6) + 7 + 2.
Since the square root of a negative number is not defined in the real number system, the expression is undefined for x = -2.
For x = 3:
Plugging in the value of x, we have √3(3) + 7 - 3.
Simplifying this expression, we get √9 + 7 - 3.
The square root of 9 is 3, so we have 3 + 7 - 3.
Further simplification yields 7.
Therefore, for x = -2, the expression is undefined, and for x = 3, the expression evaluates to 7.
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Angle A and angle B are supplementary. If
m2A = (16x – 7º and m2B = (21x + 2)", what
is the measure of angle A in degrees?
a 107
b. 37°
c. 5°
d. 73
Answer:
d
Step-by-step explanation:
Supplementary angles sum to 180°
Sum the angles A and B and equate to 180m that is
16x - 7 + 21x + 2 = 180
37x - 5 = 180 ( add 5 to both sides )
37x = 185 ( divide both sides by 37 )
x = 5
Thus
∠ A = 16x - 7 = 16(5) - 7 = 80 - 7 = 73° → d
In 2008, the population of Earth reached 6,690,000,000. How would you represent this number in Scientific Notation?
What is the value of x in the equation 5(3x-4)= 2x + 7 + 4x
Answer:
X=3
Step-by-step explanation:
how many monthly payments must be made for a 2 ½ -year loan?
The number of monthly payments that need to be made for a 2 ½ -year loan is 30. This is because there are 12 months in a year and 2 ½ years are equal to 30 months.
It's important to know the number of payments needed to be made when taking out a loan to ensure that the loan can be repaid in a timely manner. The number of monthly payments that need to be made for a 2 ½ -year loan is 30. This is because there are 12 months in a year and 2 ½ years are equal to 30 months. This information is important to know because it will allow you to budget your finances and ensure that you can make the necessary payments on time. It is important to note that some lenders may offer more flexible repayment schedules, so it's important to research the terms and conditions of the loan before signing the agreement. If you are unsure about the terms of a loan, it's always a good idea to seek the advice of a financial advisor. With the right information and planning, taking out a loan can be a responsible financial decision.
In conclusion, for a 2 ½ -year loan, 30 monthly payments need to be made. It is important to know this information to budget finances and make payments on time. It's important to research loan terms and seek the advice of a financial advisor to make informed financial decisions.
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A logo is 15 cm wide. If the logo is dilated by a factor of 7/4, find the width of the logo
Answer:
26.25 cm
Step-by-step explanation:
Take the width and multiply by the scale factor
15 * 7/4
105/4 cm
26.25 cm
5 lb hamburger for 12 people
Step-by-step explanation:
60lb? koejdhrojrjrrjbrur
Complete the following statement.
(?) x (-7) = 42
IS 3x+4=8x-9 one solution, no solution or infinitely Many
Answer:
One solution
Step-by-step explanation:
Seperate the like terms.
3x-8x=-9-4
-5x=-9-4
-5x=-13
x=13/5
The expression 3x + 4 = 8x - 9 has one solution.
Option A is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
3x + 4 = 8x - 9
4 + 9 = 8x - 3x
13 = 5x
x = 13/5
This means,
It has one solution.
Thus,
The expression has one solution x = 13/5.
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Find the value of x
(2x + 5)
(6x + 5)
Answer:
x=5/2 or 2.5
Step-by-step explanation:
1 Divide both sides by 22.
x=5/2
decimail form 2.5
Start with the original matching pennies game, where player 1 wins by matchups and player 2 wins by mismatches; and the winning versus losing payoffs are +1 and – 1 respectively. Then decrease the payoff from a mismatch loss for player 1 (when players 1 and 2 choose tails and heads respectively) from –1 down to – 6, and decrease the losing payoff from a double tails loss for player 2 from –1 down to – 10; but keep all other winning or losing payoffs the same as before (at either +1 or – 1). (A) Draw the payoff matrix with the modified losing payoffs. (B) Also draw two diagrams showing each player’s pair of expected payoff lines, and showing the other player’s equilibrium decision probability. (C) Finally, calculate the numerical values of these Nash equilibrium probabilities (p1*, p2*) for this case.
There is no Nash equilibrium in pure strategies because neither player has a strategy that maximizes their expected payoff.
(A) The modified payoff matrix for the matching pennies game with the updated losing payoffs is as follows:
Player 2
Heads (H) Tails (T)
Player 1 +1, -1 -6, +6
Heads (H)
Tails (T) -10, +10 +1, -1
(B) The diagrams showing each player's pair of expected payoff lines and the other player's equilibrium decision probability are as follows:
Player 1's Expected Payoff Line:
H T
Probability: p1 1-p1
Expected Payoff: p1(-6) + (1-p1)(+1)
Player 2's Expected Payoff Line:
H T
Probability: p2 1-p2
Expected Payoff: p2(-10) + (1-p2)(+1)
The equilibrium decision probability for each player will be the value that maximizes their expected payoff. In this case, player 1 will choose heads (H) with probability p1* and player 2 will choose tails (T) with probability p2*.
(C) To calculate the numerical values of the Nash equilibrium probabilities (p1*, p2*), we need to find the values that maximize each player's expected payoff.
For player 1:
Expected Payoff = p1(-6) + (1-p1)(+1)
= -6p1 + 1 - p1 + p1
= -5p1 + 1
To maximize this expected payoff, we set the derivative equal to zero:
d/dp1 (-5p1 + 1) = -5 = 0
-5 = 0 (No solution)
For player 2:
Expected Payoff = p2(-10) + (1-p2)(+1)
= -10p2 + 1 + p2 - p2
= -9p2 + 1
To maximize this expected payoff, we set the derivative equal to zero:
d/dp2 (-9p2 + 1) = -9 = 0
-9 = 0 (No solution)
There is no Nash equilibrium in pure strategies because neither player has a strategy that maximizes their expected payoff.
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HElP ME !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D the last one
Step-by-step explanation:
Answer:
∠VUR and ∠QRU
Step-by-step explanation:
Is y=−2+5x a linear function?
Answer:
y+2=5×
Step-by-step explanation:
because it is unlike term
- square root of 105 to the nearest tenth
Answer:
10.2
Good Luck!!!
Which expression is a prime polynomial? A.x+9y^2 B. 3m+9n C. 8x^7-9x+12x^2 D. x^9-y^6
Answer:
C
Step-by-step explanation:
A prime polynomial is simply an irreducible polynomial.
[tex]\mathbf{x + 9y^2}[/tex] is a prime polynomial
First, we test the options.
[tex]\mathbf{x + 9y^2}[/tex]
The above function cannot be reduced further.
Hence, [tex]\mathbf{x + 9y^2}[/tex] is a prime polynomial
[tex]\mathbf{3m + 9n}[/tex]
Factor out 3
[tex]\mathbf{3(m + 3n)}[/tex]
[tex]\mathbf{3m + 9n}[/tex] is not a prime because it can be factored as [tex]\mathbf{3(m + 3n)}[/tex]
[tex]\mathbf{8x^7 - 9x + 12x^2}[/tex]
Factor out x
[tex]\mathbf{x(8x^6 - 9 + 12x)}[/tex]
[tex]\mathbf{8x^7 - 9x + 12x^2}[/tex] is not a prime because it can be factored as [tex]\mathbf{x(8x^6 - 9 + 12x)}[/tex]
Hence, [tex]\mathbf{x + 9y^2}[/tex] is a prime polynomial
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How do you rewrite and then solve -5 - (-7)
Answer:
-5-(-7)
=-5+7
=7-5
=+2
Help me out please an thank you
Answer:
A. a // b
Step-by-step explanation:
Simplify -3 + 2x + (-1) - 4x
Answer:
-2x-4
Step-by-step explanation:
We have to combine like terms in this expression. So, only -3 and -1 can be combined, and the same thing applies to 2x and -4x. If we add -3 and -1 as it says in the expression, that is -4. If we add 2x and -4x which is also in the expression, it is -2x. We can combine these two resulting terms to simplify the expression. The answer is -2x-4.
