Answer:
90 degrees.
Step-by-step explanation:
The angle shown is clearly right, meaning it is 90 degrees in value.
Maggie bought a pound of bananas and 4 boxes of cereal for $10. 11. If each box of cereal cost $2. 40, what was the price of a pound of bananas? $0. 51 $0. 61 $1. 51 $2. 91.
You are given the prices of a particular stock over a period of n days. Let the price per share of the stock on day i be denoted by pį. Our question is the following: How should we choose a day i on which to buy the stock and a later day j > i on which to sell it, if we want to maximize the profit per share (pj – pi)? (If there is no way to make money during the n days, we should conclude that.) Give a O(n) algorithm for the above problem, using dynamic programming.
The Algorithm for a time complexity of O(n) is given at the end.
The algorithm with a time complexity of O(n) to solve the problem:
1. Initialize two variables: "min_price" to store the minimum price encountered so far and "max_profit" to store the maximum profit found so far. Set both variables to infinity or a very large number.
2. Iterate through the given prices from left to right, for each day i:
- Update min_price as the minimum between min_price and prices[i].
- Calculate the potential profit as prices[i] - min_price.
- Update max_profit as the maximum between max_profit and the potential profit.
3. After the iteration, max_profit will contain the maximum profit that can be obtained by buying on one day and selling on a later day.
4. In this case, return a suitable message indicating that there is no profitable opportunity.
5. If max_profit is positive, it represents the maximum profit that can be obtained. To find the specific days i and j, iterate through the prices again and find the day i where the profit is equal to max_profit. Then, continue iterating from day i+1 to find the day j where the price achieves the maximum profit (prices[j] - prices[i]). Return the pair of days (i, j).
The Python code implementing the algorithm:
def find_optimal_days(prices):
n = len(prices)
min_price = float('inf')
max_profit = 0
buy_day = 0
sell_day = 0
for i in range(n):
min_price = min(min_price, prices[i])
potential_profit = prices[i] - min_price
max_profit = max(max_profit, potential_profit)
if potential_profit == max_profit:
sell_day = i
if max_profit <= 0:
return "No profitable opportunity."
for i in range(sell_day):
if prices[sell_day] - prices[i] == max_profit:
buy_day = i
break
return buy_day, sell_day
# Example usage:
prices = [7, 1, 5, 3, 6, 4]
result = find_optimal_days(prices)
print(result)
This algorithm has a time complexity of O(n), where n is the number of days (length of the prices list). It iterates through the prices list twice, but the overall complexity is linear.
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Within the relevant range, a curvilinear cost function can sometimes be graphed as a:
a) sloping straight line
b) jagged line
c) verticle straight line
d) curved line
e) horizontal straight line
Within the relevant range, a curvilinear cost function can be graphed as a curved line. A curvilinear cost function is a cost function where the total cost changes as a function of the level of activity, but not at a constant rate.
This means that as the level of activity increases, the cost per unit may increase or decrease, resulting in a curved relationship between the level of activity and the total cost. In order to determine the optimal level of activity, a manager can use calculus to find the point where the marginal cost equals the marginal revenue.
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A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.
The 95% confidence interval for the mean weight per apple is calculated and the p value foe that particular interval is 0.1447
There is not sufficient evidence to reject the company's claim.
Z Test of Hypothesis for the Mean
Data
Null Hypothesis m =120
Level of Significance 0.05
Population Standard Deviation 12
Sample Size 49
Sample Mean 122.5
Intermediate Calculations
Standard Error of the Mean 1.7143
Z Test Statistic 1.4583
Two-Tail Test
Lower Critical Value -1.9600
Upper Critical Value 1.9600
p-Value 0.1447
Do not reject the null hypothesis
Hence, the p value foe that particular interval is 0.1447
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you randomly choose one shape from the bag. find the number of ways the event can occur. find the favorable outcomes of the event
(a) The number of ways that the event can occur is 6.
(b) Probabilities are :
1) 1/2, 2) 1/6 and 3) 1/3.
(a) Given a bag of different shapes.
Total number of shapes = 6
So, if we select one shape from random,
total number of ways that the event can occur = 6
(b) Number of squares in the bag = 3
Probability of choosing a square = 3/6 = 1/2
Number of circles in the bag = 1
Probability of choosing a circle = 1/6
Number of stars in the bag = 2
Probability of choosing a star = 2/6 = 1/3
Hence the required probabilities are found.
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The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which
inequality represents this situation?
0 V3X+ 28/
y
x+y <28
X+ y = 28
Read the questions and choose the best answer.
Two number's differs by 1. The Sum of the bigger number and twice the smaller number is 13. find the number
Answer:
the bigger number is 5 while the smaller number is 4
Step-by-step explanation:
x-y=1 eqn 1
x+2y=13 eqn 2
from equation 1
x=1+y
substitute in eqn 2
1-y+2y=13
1+3y=13
y=4
x=1+y
x=1+4
x=5
according to the medical news today of the US adult population 10% has food allergies example of 1200 randomly selected adults resulted in 12.2% reporting an outage who is the population
(a) The population is the whole US adult citizens.
(b) The sample is 1200 randomly selected US adults.
(c) The statistic is the percentage reported against the selected random sample that is here the statistic is 12.2%.
(d) The parameter on the other hand is the reported percentage against the whole population that is here the parameter is 10%.
(e) The parameter is fixed because it shows the exact percentage of food allergies in US Adult population as whole on macro level but sample can vary as that value depend on which 1200 sample you choose.
Given that, the result shows 10% of US adult population has food allergies.
So the population is the whole US adult citizens.
We select then 1200 random adults.
So the sample is 1200 randomly selected US adults.
The statistic is the percentage reported against the selected random sample that is here the statistic is 12.2%.
And the parameter on the other hand is the reported percentage against the whole population that is here the parameter is 10%.
The parameter is fixed because it shows the exact percentage of food allergies in US Adult population as whole on macro level but static can vary as that value depend on which 1200 sample you choose.
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The question is incomplete. The complete question will be -
"According to the medical news today of the US adult population 10% has food allergies example of 1200 randomly selected adults resulted in 12.2% reporting an outage.
(a) Who is the population?
(b) What is the sample?
(c) Identify the statistic and give its value.
(d) Identify the parameter and give its value.
(e) In your own words, explain why the parameter is fixed and the statistic varies."
lorena+and+julio+purchased+a+home+for+$205,950.+their+loan+amount+was+$164,760,+and+the+assessed+value+is+now+$200,500.+their+tax+rate+is+1.5%.+how+much+will+their+monthly+taxes+be?
Lorena and Julio monthly taxes will be $250.62
Lorena and Julio purchased a home for $205,950. Their tax rate is 1.5%.
Let's calculate how much their monthly taxes will be.
Assessed value is the dollar value of a property for the purposes of taxation, according to the county tax assessor's office.
By multiplying the assessed value by the tax rate we get Property taxes.
Then, divide this number by 12 to obtain the monthly tax.
Let's calculate the annual tax amount first.
Multiplying the assessed value by the tax rate.
$200,500 * 1.5% = $3,007.50
Now let's calculate the monthly tax amount.
$3,007.50 / 12 = $250.62
Therefore, their monthly taxes will be $250.62
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What is the length of jk
Find the slope and the y-intercept of the graph of the linear equation.
0 = 1 - 2y + 14x
The slope is
and the y-intercept is
Answer:
Step-by-step explanation:
You want to put this linear equation into slope intercept form.
So you would add 2y to both sides to get it on the other side.
\(2y=1+14x\)
Now you are going to divide both sides by 2 to get y by itself.
\(y=7x+\frac{1}{2}\)
Use point-slope form to write the equation of a line that passes through the point
(-8, 8) with slope 3.
Answer:
y -8 = 3(x+8)
Step-by-step explanation:
y-8 = 3(x-(-8)
y - 8 = 3(x+8)
Nicole and Daniel are splitting a pizza. Nicole eats 1/4 of a pizza and Daniel eats 2/3 of it. How much is the pizza is left?
Answer:
The answer is 1/12
Step-by-step explanation:
Express u = (7, -10) as a linear combination u = rv + sw, where v = (2, 1) and w = (1,4).
(Use symbolic notation and fractions where needed.)
To express u = (7, -10) as a linear combination u = rv + sw, where v = (2, 1) and w = (1,4), we need to find the values of r and s such that:
u = rv + sw
Substituting the given values, we get:
(7, -10) = r(2, 1) + s(1,4)
Using the symbolic notation, we can write this as a system of equations:
7 = 2r + s
-10 = r + 4s
We can solve this system of equations by using the elimination method:
Multiply the second equation by 2:
7 = 2r + s
-20 = 2r + 8s
Subtracting the first equation from the second, we get:
-27 = 7s
Dividing both sides by 7, we get:
s = -27/7
Substituting this value of s into the first equation, we get:
7 = 2r - 27/7
Multiplying both sides by 7, we get:
49 = 14r - 27
Adding 27 to both sides, we get:
76 = 14r
Dividing both sides by 14, we get:
r = 38/7
Therefore, u = (7, -10) can be expressed as the linear combination:
u = (38/7)(2,1) + (-27/7)(1,4)
Using fractions where needed, the answer is:
u = (76/7, 38/7) + (-27/7, -108/7)
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a physician uses two labs to measure patient cholesterol levels and believes that lab 1 (1) may be reporting lower cholesterol levels, on average, than lab 2 (2). to test their theory, the physician collects pairs of blood samples from 35 patients and sends a sample from each patient to lab 1 and sends the other sample from each patient to lab 2. from the 35 pairs of blood samples, the mean and standard deviation of differences in cholesterol levels are calculated. is there evidence to confirm that lab 1 is reporting lower cholesterol levels, on average, than lab 2? flag question: question 9 question 9 5 pts which type of test should be used to determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2? group of answer choices paired t test for means paired z test for means z test for means sign rank test t test for proportions t test for means z test for proportions
To determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2, a paired t-test for means should be used.
This is because the physician collected pairs of blood samples from each patient and wants to compare the means of the two labs' cholesterol level measurements. The paired t-test for means is appropriate for comparing the means of two related samples, in this case, the blood samples from each patient tested by lab 1 and lab 2.
A paired t-test for means should be used to determine if lab 1 is reporting lower cholesterol levels, on average, than lab 2. This test is appropriate because the data consists of paired samples from the same patients, and the goal is to compare the means of the differences between the two labs.
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Write an equation for the line that passes through (8, 2) and is parallel to the graph of y = 3/4x + 2.
Answer: do it youself
Step-by-step explanation:
What is the inverse function of y = x^2+ 4? Show all of your work for full credit.
Answer:
Look at the picture
Step-by-step explanation:
y = x^2 + 4 replace x and y
x = y^2 + 4 subtract 4 from both sides
x - 4 = y^2 sqaure root both sides
You borrow $10000 from the credit union at 12% interest to buy a car. If you pay off the car in 5 years, what will your monthly payment be? $449.55 $222 $2060 $1201 None of these responses is correct
Answer:
Step-by-step explanation:
10,000 x 12% = 1,200
10,000 + 1,200 = 11,200
There are 60 months in 5 years
11,200 ÷ 60 = $186.67
None of these responses is correct
You have some money in your savings account. You will add $5 each week to your account. By week 19 you have $115. How much money did you start with in your savings account?
Let's call the amount of money you started with in your savings account "x".
In 19 weeks, you added $5 each week, so you added a total of $5 x 19 = $95.
Adding this amount to the initial amount x, we get:
x + $95 = $115
Subtracting $95 from both sides, we get:
x = $20
Therefore, you started with $20 in your savings account.
Solve the following systems of equations:
- 7x + y = 4
8x - 3y = 1
X=
y =
Answer:
x=-1 y=-3
............
Answer:
( − 1 , − 3 ) or x= − 1 , y = − 3
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Pls help me quick with this question ( will give brainy for correct )
The inequality solved for y is:
y ≥ 21/25
How to solve the ienquality for y?To solve an inequality for one variable, we need to isolate that variable.
Here we have:
(8/7)y -1 ≥ (3/7)y - 2/5
Move the terms with y to the left side and the others to the right side.
(8/7)y - (3/7)y ≥ -2/5 + 1
(5/7)y ≥ (3/5)
Now multiply both sides by 7/5, we will get:
y ≥ (3/5)*(7/5)
y ≥ 21/25
That is the solution simplfied.
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Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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the coase theorem reminds us that efficiency is all about maximizing total
The Coase theorem is an economic theory that states that in the absence of transaction costs, the allocation of resources and the distribution of wealth will be efficient regardless of how property rights are assigned.
In this context, the theorem reminds us that efficiency is all about maximizing total welfare, rather than focusing solely on the allocation of resources or the distribution of wealth. When transaction costs are low or non-existent, parties can negotiate with each other to reach mutually beneficial agreements that maximize their combined welfare. This means that ownership of property or resources is less important than the ability of parties to freely negotiate with one another.
For example, imagine two neighboring farms: one produces apples and the other produces honey. If the apple farmer's use of pesticides harms the bee population and reduces the honey farmer's production, the honey farmer could demand compensation from the apple farmer. If transaction costs are low, the two farmers could negotiate a solution that is mutually beneficial, such as the apple farmer paying for the honey farmer to relocate their bees to a safer area. In this scenario, the assignment of property rights is not as important as the ability of the two parties to negotiate and reach an agreement that maximizes their total welfare.
Overall, the Coase theorem highlights the importance of considering the broader impacts of economic decisions and recognizing that efficiency depends on maximizing the overall benefits to all parties involved, rather than just focusing on individual outcomes.
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a dive ring at the bottom of the pool is 10 feet below the surface of the water. sabine dives down and brings the ring back to the surface . what integer represents the dive rings final position with respect to the surface of water?
Answer:
-10 feet below the surface of the water
Step-by-step explanation:
We are told that the dive rings position at the bottom of the pool is 10 feet below the surface of the water.
Now, an integer is basically a whole number that can either be be zero, positive or negative.
In this case, it's below the surface which means it's below zero.
Thus, it's negative.
So the integer is -10 feet below the water surface.
Carlos has four notes in his wallet: $5, $10, $20, and $50. He takes out two notes at random.
There are six possible pairs of notes. List them.
b Find the probability that:
i. one of the notes is $5 ii. the total value of the notes is more than $50.
Answer:
5 and 10
5 and 20
5 and 50
10 and 20
10 and 50
20 and 50
1/4 for 5$
1/4 for 50$
How many solutions does the following equation have? -6y+13+9y=8y-3
Answer:
One
Step-by-step explanation:
\(-6y+13+9y=8y-3\\\\-6y+9y+13=8y-3\\\\3y+13=8y-3\\\\3y+13-13=8y-3-13\\\\3y=8y-16\\\\3y-8y=8y-8y-16\\\\-5y=-16\\\\\frac{-5y=-16}{-5}\\\\\boxed{y=3.2}\)
The equation has one solution.
Hope this helps.
Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation 20. Find P15â, which is the IQ score separating the bottom 15â% from the top 85â%
The probability that a randomly selected adult has an IQ score between 89 and 121 is 0.5328
To find the probability that a randomly selected adult has an IQ score between 89 and 121, we need to calculate the area under the normal curve between these two scores.
First, we need to standardize the scores by converting them into z-scores using the formula
z = (x - μ) / σ
where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
For x = 89
z = (89 - 105) / 20 = -0.8
For x = 121
z = (121 - 105) / 20 = 0.8
Now, we need to find the area under the normal curve between z = -0.8 and z = 0.8. We can do this by using a standard normal distribution table or a calculator.
The area under the curve between z = -0.8 and z = 0.8 is 0.5328.
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The given question is incomplete, the complete question is:
Assume that adults have iq scores that are normally distributed with a mean of 105 and a standard deviation of 20. Find the probability that a randomly selected adult has an iq between 89 and 121.
plz answer this question.
Answer: its D
Step-by-step explanation:
its D bc of the nutts
Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending? pls can someone help me
The calculation 18/6=108 is not the right representation.
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: One of the option as 18/6=108
But in the question Jenna buys 6 new shirts at $18
Thus the total cost of the shirts is 18*6=108
But 18/6=3
Thus this expression is not the right calculation.
Hence, The 18/6=108 is not the right representation.
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