Answer:
G = {1, 3, 5, 7, 9, 11}.
Step-by-step explanation:
All natural numbers less than or equal to 11
are 1 2 3 4 5 6 7 8 9 10 11
We pick out the odd numbers from this list.
Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
when the integers 1 to 100 inclusive are written, what digit is the fewest numbers of the time
Answer: 0
Step-by-step explanation:
First you do 1 through 9,
then 10 through 19,
then 20 through 29.
You have one set of 9 numbers,
1-9, and 9 sets of ten numbers such as 20-29. Looking at the tens digit, 1 is used 10 times for 10-19, 2 is used 10 times for 20-29, 3 is used 10 times, etc.
However, 0 is not used as a tens digit except in the number 100.
If the digit is not 0, then it occurs 10 times as a ten digit.
In addition, it occurs once in each set of ten, for a total of 20 times. For example, consider 6. It occurs ten times in 60-69, and then another ten times as 6, 16, 26, 36, etc., for a total of 20.
O occurs as 10, 20, 30, 40, 50, etc plus an extra 0 in 100, for a total of 11 times.
I need help solving this: ³√1,331
Answer: 11
Step-by-step explanation:
Answer:
443.666
Step-by-step explanation:
because i used a caulculator boiiiiiiii
Evaluate.
12÷(2+23)2
6 4/9
4 1/2
3 2/3
1 11/16
Let's review the concept of BODMAS.
BODMAS is the correct order we use solve a mathematical problem.
=> B = Brackets => O = Order of powers or roots=> D = Division => M = Multiplication => A = Addition=> S = SubtractionSolving the given expression.Now, let's solve the given expression using BODMAS.
12 ÷ (2 + 23)2=> 12 ÷ (25)2=> 12 ÷ 25 x 2=> 12/25 x 2=> 24/25Hence, the solution is 24/25.
What would be the answer?
Answer:
6
Step-by-step explanation:
To breakeven means that you made exactly as much money as you spent, so if you spent $50 to make lemonade, you would need to make $50 in profits from selling to break even
first subtract the cost of making each horse from the price of selling each horse (you do this to find out how much profits he makes from one horse):
125 - 75 = 50
now divide 300 by 50 to find out how many horses need to be made to break even:
300 ÷ 50 = 6
Determine if the triangles are similar by Side-Side-Side similarity.
Answer:
They are similar. if the samll one was flipped the right way they would look the same except for being different sizes
Step-by-step explanation:
a recipe uses 2 1/4 cup of flower for a batch of cookies and henry makes 10 batch how much flower did he use
Answer:
22.5 flower
Step-by-step explanation:
please help me do this
Answer:
Step-by-step explanation:
(3x + 1)/x = 1/(x -3) Cross multiply
(3x + 1)(x - 3) = x Remove the brackets. Use FOIL
f:3x*x = 3x^2
o:3x*(-3) = -9x
i:1*x = x
L : 1 * - 3 = -3
FOIL: 3x^2 -9x +x - 3
FOIL: 3x^2 - 8x - 3
3x^2 - 8x - 3 = x Subtract x from both sides
3x^2 - 8x -x - 3 = 0 Combine
3x^2 - 9x - 3 = 0 Factor
It's rather ugly. I had to use the quadratic equation
a = 3
b = - 9
c = - 3
x1 = 3.3
x2 = - 0.3
(a) (i) What conditions should be satisfied to use image averaging method for noise reduction? (ii) Using mathematical expressions, characterize the noise in the resultant image when K images are averaged, as K becomes large. (iii) Would you select spatial averaging or temporal image averaging when either method can be used for noise reduction? Explain your selection in detail.
(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-
(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.
(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K
Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.
Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.
(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.
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Your mother gave you $15.80 with which
to buy a present. This covered of the
2
3
cost. How much did the present cost?
Answer: it cost 14 dollars
Step-by-step explanation:
2. the following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. a. what is the point estimate of the population mean? b. what is the point estimate of the population standard deviation?
The population mean and population standard deviation for the given sample data from a normal population is 10 and 3.46 respectively.
Sample data is equal to,
10, 8, 12, 15, 13, 11, 6, 5
The point estimate of the population mean can be calculated by finding the sample mean,
sample mean 'x' = (10 + 8 + 12 + 15 + 13 + 11 + 6 + 5) / 8
= 10
The point estimate of the population mean is 10.
The point estimate of the population standard deviation can be calculated by finding the sample standard deviation,
Sample variance
= [ Σ ( xi - x )^2 / ( n - 1 ) ]
= [(10 - 10)^2 + (8 - 10)^2 + (12 - 10)^2 + (15 - 10)^2 + (13 - 10)^2 + (11 - 10)^2 + (6 - 10)^2 + (5 - 10)^2] / (8 - 1)
= 0 + 4 + 4 + 25 + 9+ 1 + 16 + 25 / 7
= 84/7
=12
⇒Sample standard deviation = √(sample variance)
⇒Sample standard deviation= √(12)
⇒Sample standard deviation≈ 3.46
The point estimate of the population standard deviation is approximately 3.46.
Therefore, the population mean and the population standard deviation is equals to 10 and 3.46 respectively.
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Aye can one of y’all help me break this answer down (btw the total is 120)
Answer: 5t + (10x2) i believe. I don’t know what the question was but i’m guessing they wanted to know the equation..!
Step-by-step explanation: first ... add all the people up in the family which is 5 then you times that by a variable and since they bought all of them t- shirts the variable will be ‘t’ so that’s 5t then take 10x2 since they bought two pairs of sandals which cost $10 for each pair and your equation will be 5t + (10x2)
What is the period of the function?
1.π
2.2π
3. 3π
4. 4π
Answer:
Period is for a complete oscillation
\(period = 4\pi\)
Julie and Jan’s brother also withdrew money from his savings account on Monday. He made three withdrawals and withdrew $10 more than Julie did. What are three possible amounts he could have withdrawn?
Answer:
possible amounts could be $35, $55, $75
hope this helps!
Step-by-step explanation:
(a) How many vectors (x1, x2, x3, . . . , xn) are there for which each xi is either 0 or 1 andx1 + x2 + · · · + xn = k.(b) Do the same problem as before but under the condition thatx1 + x2 + · · · + xn ≥ k.
(a) Each xi in the vector (x1, x2, ..., xn) can be either 0 or 1.
Therefore, there are 2 possibilities for each xi.
The number of vectors that can be formed by combining these values is equal to the number of combinations of 2 possibilities, taken n times.
The number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n is 2^n.
the same problem as before but under the condition thatx1 + x2 + · · · + xn ≥ k,
This is equivalent to 2^n. For example, if n = 2, then there are 2 possibilities for x1 (either 0 or 1) and 2 possibilities for x2 (either 0 or 1). The total number of vectors that can be formed is 2 * 2 = 2^2 = 4. In general, the number of vectors that can be formed is equal to 2^n.
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The complete question is :-
determine the number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n.
what function computes the value in which one-half of the data is above and one-half is below.
a. Middle
b. Mode c. average
d. Median
A baker puts 4 cups of fruit into each pie he bakes. He pays $0.75 for 1 cup of fruit and $2.50 for the pie crust. He sells each pie for $10.25. After subtracting the cost of the fruit and pie crust, how much does he earn if he sells 10 pies?
PLEEEEES HELPMEEEEE
Step 1: Find the cost of 1 pie
1 pie = 4 cups of fruit + 1 pie crust
1 pie = 4(0.75) + 1(2.50)
1 pie = 3 + 2.50
1 pie = 5.50
Step 2: Find the amount of money a baker makes by selling 1 pie
1 pie cost = 5.50
1 pie revenue = 10.25
1 pie profit = 4.75
Step 3: Find the amount of money a baker makes by selling 10 pies
1 pie profit = 4.75
10 pies profit = 47.5
Answer: $47.50
Hope this helps!
An amusement park offers a ticket for $12.95 off the original price p. Write and solve an equation to find the original price
The original price of a ticket is a $56.95.
According to the statement
We have to find that the linear equation.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
An amusement park offers a ticket for $12.95 off the original price p.
Then
Discounted price is that the amount of sum that extracted from the initial price when buyers receive some style of leverage from the vendor. during this case, discounted price of the ticket is $44 which was $12.95 but the initial price.
Then the first price would be:
$44 + $12.95 = $56.95
So, The original price of a ticket is a $56.95.
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Someone help and please make sure the answer is right there is only 6 questions :(
6. according to north carolina mutual life insurance's mortality table, the probability that a 60-
year-old woman will die within one year is 0. 5. if she buys a $10,000 one-year term policy for
$600, what is nc mutual's expected gain or loss?
NC Mutual's expected gain is $4,400. This means that on average, they expect to make a profit of $4,400 from selling this one-year term policy to the 60-year-old woman.
To calculate NC Mutual's expected gain or loss, we need to first determine the expected payout if the woman dies within one year. Since she has purchased a $10,000 one-year term policy, the expected payout would be $10,000.
Next, we need to calculate the probability of the woman dying within one year. According to NC Mutual's mortality table, the probability is 0.5.
Now, we can calculate NC Mutual's expected gain or loss:
Expected Gain = Probability of Death x Payout - Premium
Expected Gain = 0.5 x $10,000 - $600
Expected Gain = $5,000 - $600
Expected Gain = $4,400
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in general, ______________ are more problematic than ________________ because they can produce spurious relationships.
In general, observational studies are more problematic than randomized controlled trials because they can produce spurious relationships.
Observational studies rely on the natural variation in exposures and outcomes that occur in the population, without any intervention or manipulation by the researcher.
This can lead to confounding variables, which are factors that are associated with both the exposure and the outcome and can produce a false association between them.
Randomized controlled trials, on the other hand, assign participants to different exposure groups at random, which reduces the risk of confounding and allows for a more accurate assessment of causality.
Therefore, researchers must be cautious when interpreting observational studies and consider the potential for spurious relationships.
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The price of Stock A at 9 A.M. Was $14.17. Since then, the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was $14.67. It begins to decrease at the rate of $0.16 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
0.63 hours
Step-by-step explanation:
We are told that at 9am, the price of Stock A was $14.17 and we are told it increases by $0.11 each hour.
Thus, for x hours, the price will be;
P_a = 14.17 + 0.11x
Now,by noon, it would have been 3 hours.
Thus;
P_a = 14.17 + 0.11(3)
P_a = 14.17 + 0.33
P_a = $14.50
Now, at that same noon, another product known as stock B had a price of $14.67. We are told it begins to decrease at the rate of $0.16 each hour.
Now, we want to find how many how many hours will the prices of the two stocks be the same. If the number of hours is x, this means that;.
14.5 + 0.11x = 14.67 - 0.16x
Rearranging,we have;
0.11x + 0.16x = 14.67 - 14.5
0.27x = 0.17
x = 0.17/0.27
x = 0.63 hours
The fixed cost for running a coffee stall (i.e. rent, utilities, etc.) at a mall is $17000 per month. The following table reports
estimates of the monthly number of units sold, the selling price per unit, and the cost per unit for two sales categories:
coffee and cookies.
Category | Number of Units Sold | Selling Price/Unit | Cost/Unit
Coffee 13000 $3.2 $0.5
Muffins 11000 $4.5 $0.6
Compute the necessary monthly sales dollar amount for the coffee stall to breakeven. Report by rounding to a whole
number with no commas and no $ sign. Do not round any of the constituent computations.
The necessary monthly sales dollar amount for the coffee stall to breakeven is "95000"
Step 1: For each product, determine the contribution margin per unit.
Coffee: $3.2 - $0.5 = $2.7
Muffins: $4.5 - $0.6 = $3.9
Step 2: Determine each product's overall contribution margin.
Coffee: 13000 * $2.7 = $35,100
Muffins: 11000 * $3.9 = $42,900
Step 3: Calculate the total contribution margin.
Total Contribution Margin = $35,100 + $42,900 = $78,000
Step 4: Calculate the breakeven sales dollar amount.
Breakeven Sales Dollar Amount = Fixed Cost + Total Contribution Margin
Breakeven Sales Dollar Amount = $17,000 + $78,000 = $95,000
Therefore, the necessary monthly sales dollar amount for the coffee stall to breakeven is "95000"
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Determine whether each of the following statements is true or false, and explain why.
1. A critical number c is a number in the domain of a function f for which f' (c) = 0 or f' (c) does not exist.
2. If f' (c) > 0 on an interval, the function is positive on that interval.
3. If c is a critical number, then the function must have a relative maximum or minimum at c.
4. If f'(c) exists, then f"(c) also exists.
5. If f" (c) > 0 on an interval, the function is increasing on that interval.
The given statement " A critical number c is a number in the domain of a function f for which f' (c) = 0 or f' (c) does not exist'" is True.
The given statement " If f' (c) > 0 on an interval, the function is positive on that interval" is False.
The given statement " If c is a critical number, then the function must have a relative maximum or minimum at c" is False.
The given statement " If f'(c) exists, then f"(c) also exists" is False.
The given statement " If f" (c) > 0 on an interval, the function is increasing on that interval" is False.
1. True. A critical number is a point in the domain of a function where the derivative either equals zero or does not exist. This is because critical numbers correspond to potential local extrema or points of discontinuity in the function.
2. False. The sign of the derivative indicates the slope of the function, not its actual value. So, if the derivative is positive on an interval, it means the function is increasing on that interval, but it doesn't necessarily imply that the function is positive.
3. False. While critical numbers can indicate the possibility of relative extrema, they don't guarantee their existence. A function may have critical numbers where the function does not have a relative maximum or minimum, such as at an inflection point.
4. False. The existence of the first derivative at a point does not guarantee the existence of the second derivative at that point. The second derivative represents the rate of change of the first derivative and can exist or not exist independently.
5. False. The sign of the second derivative indicates the concavity of the function, not its increasing or decreasing behavior. A positive second derivative implies a concave up shape, but it doesn't determine whether the function is increasing or decreasing on an interval. That is determined by the sign of the first derivative.
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←
Find u (vxw) for the given vectors.
u=2i- j +3k, v= -2 i +2j +4 k, and w= i +4j + k
Select the correct choice below and fill in the answer box(es) within your choice.
O A. The answer is a vector. u. (vxw) = ai + bj+ck where a =
(Type integers or simplified fractions.)
OB. The answer is a scalar. u. (vxw) =
(Type an integer or a simplified fraction.)
b= , and c=
It should be noted that (uxv) w is equivalent to the vector 21i + 38j +104k where a=21, b=38, and c=104.
How to explain the informationIn order to compute (u x v) w, our initial step requires the calculation of the cross product for u and v. This means:
u x v = (7i - 3j + k) x (-5i + 7j + 3k)
= (21i - 38j - 26k)
We can employ the distributive property of the cross product over sum of vectors:
(a+b) x c = a x c + b x c
Therefore, (u x v) w = (21i - 38j - 26k) w
= 21i w - 38j w - 26k w
As a result, we get: (uxv) w is equivalent to the vector 21i + 38j +104k where a=21, b=38, and c=104.
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You are paid 1.2 times your normal hourly rate for each hour you work over 40 hours in a week. You work 46 hours this week and earn $462.56. What is your normal hourly rate?
An equation is formed of two equal expressions. Your normal hourly rate is $9.8 per hour.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the normal hourly rate be represented by x, therefore, the work-over hourly rate is 1.2x.
Given that You work 46 hours this week and earn $462.56. Now, since you earn 1.2 times above 40 hours, therefore, we can write,
Total earnings = Earning for 40 hours + Earning for above 40 hours
462.56 = 40x + (46 - 40)(1.2x)
462.56 = 40x + 6(1.2x)
462.56 = 40x + 7.2x
462.56 = 47.2x
x = 462.56 / 47.2
x = 9.8
Hence, your normal hourly rate is $9.8 per hour.
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What is the difference betwen 1 1/4 and 3/8
Answer: 0.875
Step-by-step explanation: 1 1/4 - 3/8 = 78 = 0.875.
A department store is ordering the fall line of shoes. Which of the following statisticalmeasurements would they use to determine what sizes they should order the most?A. mode B. rangeC.medianD.mean
The departmental store is ordering the fall line of shoes.
In order to determine what size they should order for the most, they will need to know what size the customers buy the most.
This value is called the mode
It is a statistical data that depicts the number of a data set that appears the most.
The store will need to buy the size that the customers buy the most, that is the mode.
Option A
Find the flux of the vector field h = 2xy i z3 j 10y k out of the closed box 0 ≤ x ≤ 4, 0 ≤ y ≤ 3, 0 ≤ z ≤ 7.
The flux of the vector field h = 2xy i + z^3 j + 10y k out of the closed box 0 ≤ x ≤ 4, 0 ≤ y ≤ 3, 0 ≤ z ≤ 7 is 0.
To find the flux of the vector field h out of the closed box, we need to evaluate the surface integral of the vector field over the six faces of the box. However, since the divergence of the vector field is zero, we can apply the divergence theorem, which states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence of the vector field over the enclosed volume.
In this case, the divergence of the vector field h is given by ∇ · h = 2x + 3z^2 + 10, and the enclosed volume is the rectangular box with limits 0 ≤ x ≤ 4, 0 ≤ y ≤ 3, and 0 ≤ z ≤ 7. Evaluating the triple integral of the divergence over this volume gives a value of 3360, which means that the flux of the vector field h out of the closed box is zero.
Therefore, the vector field h is a divergence-free field, which means that it does not have a source or sink within the closed box.
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find the zeros of x^3 + 2x^2 - 9x - 18
show all of your work
Answer:
{-3; -2, 3}------------------------
Factorize the polynomial in below steps:
x³+ 2x² - 9x - 18 = x²(x + 2) - 9(x + 2) = (x + 2)(x² - 9) = (x + 2)(x + 3)(x - 3)Make each factor equal to zero:
x + 2 = 0 ⇒ x = - 2x + 3 = 0 ⇒ x = - 3x - 3 = 0 ⇒ x = 3Hence the zeros are -3, -2 and 3.