205₁₀ = 1100 1101₂
Step-by-step explanation:Hi there !
205 ÷ 2 = 102 + 1 r
102 ÷ 2 = 51 + 0 r
51 ÷ 2 = 25 + 1 r
25 ÷ 2 = 12 + 1 r
12 ÷ 2 = 6 + 0 r
6 ÷ 2 = 3 + 0 r ↑
3 ÷ 2 = 1 + 1 r ↑
1 ÷ 2 = 0 + 1 r ↑ read the remainders
205₁₀ = 11001101₂
Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
Pop said, "I have three grandchildren on my knee: Vera, Chuck and Dave. "Chuck is three years younger than Dave.
A source of money that allows individuals to pay for goods and services later is called _____. (1- consumer credit, 2- earned income, 3- capital) an advantage of this source of money is that ____. (1- it can be used to shop online, 2- there are no interest charges, 3- there are no penalties for delayed payment) i need answers fast.
A source of money that allows individuals to pay for goods and services later is called consumer credit and an advantage of this source of money is that there are no interest charges.
Consumer credit, also known as consumer debt, enables the consumers to incur debt or borrow money and to defer repayment of that money over time. It allows consumers to buy goods without having to pay for them in cash at the time of purchase. Examples of consumer credit include credit cards, student loans, etc. Among the advantages of using consumer credit is that there is no interest charge to borrow the money for a certain period of time until the due date.
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In the above diagram, the demand for pepper is an example of price __________.
A.
elasticity
B.
shifting
C.
inelasticity
D.
controlling
Please select the best answer from the choices provided
A
B
C
D
Answer:
B. shifting
Step-by-step explanation:
When the price is rising or shifting higher, the demand curve moves to the left. But, t here is a corresponding change in the demand curve in that scenario while the cost stays unchanged. Since it relies on variables other than price, the simultaneous shift might go either left or right. However, the upward-pointing line depicts a rise in price and a fall in supply.
a class consist of 12 boys of whom 5 are perfects. how many committee of 8 can be formed if its to have; a) 3 prefects b) at least 3 prefects
Step-by-step explanation:
a) To form a committee of 8 with 3 prefects, we need to choose 3 prefects from the 5 available prefects, and 5 non-prefects from the remaining 7 boys. We can do this by using the combination formula:
Number of ways = (Number of ways to choose 3 prefects) × (Number of ways to choose 5 non-prefects)
Number of ways to choose 3 prefects from 5 = C(5, 3) = 10
Number of ways to choose 5 non-prefects from 7 = C(7, 5) = 21
Therefore, the total number of committees of 8 with 3 prefects that can be formed is:
Number of ways = 10 × 21 = 210
b) To form a committee of 8 with at least 3 prefects, we need to consider two cases: one where we choose exactly 3 prefects, and one where we choose all 5 prefects. We can calculate the number of ways for each case using the combination formula:
Number of ways to choose exactly 3 prefects and 5 non-prefects = C(5, 3) × C(7, 5) = 210
Number of ways to choose all 5 prefects and 3 non-prefects = C(5, 5) × C(7, 3) = 35
Therefore, the total number of committees of 8 with at least 3 prefects that can be formed is:
Number of ways = (Number of ways to choose exactly 3 prefects and 5 non-prefects) + (Number of ways to choose all 5 prefects and 3 non-prefects)
Number of ways = 210 + 35 = 245
Nerida Kyle is thinking of buying a car to avoid taking Lyft to work. She is using the cost-benefit principle to evaluate this decision and is calculating the costs and benefits to owning the car over the next year. She's gathered the following information to help her make her decision: The car costs $15,000 to purchase, but she can resell it after a year of use for $13,500. She thinks gas will cost her about $1,200 for the year. The annual insurance premium for her car is $800. Maintenance and repairs will cost about $300 for the year. Using Lyft to get to work would cost her $4,000 for the year. The cost of the car for the year is:
The cost of the car for the year is $3800 for Nerida Kyle and it will cost less than lyft.
The cost of the car for the year will be calculated based on the amount she will spend in total on the car. The formula to be used is -
Total cost = Cost price of the car - Selling price
Cost price of car will be sum of all the expenses, calculated as follows -
Cost price of the car = 15000 + 1200 + 800 + 300
Performing addition on Right and Side of the equation
Cost price of the car = $17,300
Total cost for the year = 17,300 - 13,500
Performing subtraction on Right and Side of the equation
Total cost for the year = $3,800
Hence, Nerida Kyle will spend $3,800 on car which is better than lift.
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How do you make a table of values for a linear relationship?
To make a table of values for a linear relationship;
Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value
Given,
Linear relationship;
A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.
Here,
We have to make a table of values for a linear relationship;
Make the table and select a range of x values. Fill in the equation with each x value from the left side column. To determine the y value, evaluate the equation in the middle column.Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.Learn more about linear relationship here;
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Help. (4x + 7)°
51°
in the equation 50=2y-5y^2 what is the value of c
Answer:
No solution because there is no c variable
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Asap please!! Which graph shows the solution set of the inequality 29(x+8) < 26.17
-10
5
0
5
10
+
10
-10
5
0
5
-10
-5
0
+
10
5
o
-10
-5
0
5
+
10
Answer:
Just solve for x
2.9(x + 8) < 26.1
2.9x + 23.2 < 26.1
Subtract 23.2 from both sides
2.9x < 2.9
Divide 2.9 from both sides
x < 1
So it's the bottom choice. x is less than 1 has an open circle on 1 with an arrow pointing left.
Please help meee !!!??
its A
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330 racers, 284 completed, 33 quit,13 were disqualified, what percentage didn't finish?
Answer:
13.94%
Step-by-step explanation:
46 out of 330 did not finish.
46/330 = .139393939...
Multiply by 100 to turn into a percent. Rounding to the hundredths place, you get1 13.94%
A necklace requires 25 beads to be completed.If kaylin has 7550 beads and each necklace cost $5 how much money will kaylin make?
Answer:
it is 1510 according to me and the calculator
Answer:
Kaylin can make $1510
Step-by-step explanation:
7550 beads ÷ 25 beads per necklace = 302 necklace in total
( or \(\frac{7550}{25} = 302\) )
302 necklaces × $5 each = $1510 total
Remember, we always want to draw our image first. Figure 26. Line TV with midpoint U. Segment lengths has been appropriately labeled. Since we know is the midpoint, we can say Answer substituting in our values for each we get: Answer Solve for We now want to solve for . Answer Answer Solve for , , and This is just the first part of our question. Now we need to find , , and . Lets start with and . We know that so let’s substitute that in. Answer Answer We will do the same for . From our knowledge of midpoint, we know that should equal , however let’s do the math just to confirm. We know that so let’s substitute that in. Answer Answer Using the segment addition postulate we know: Answer
The blanks in each statement about the line segment should be completed as shown below.
How to fill in the blanks about the line segment?Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:
8x + 11 = 12x - 1
Solve for x
We now want to solve for x.
−4x+11=−1
−4x = -12
x= 3
Solve for TU, UV, and TV
This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.
TU=8x+11 We know that x=3 so let’s substitute that in.
TU=8(3)+11
TU= 35
We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.
UV=12x−1 We know that x=3 so let’s substitute that in.
UV=12(3)−1
UV= 35
Based on the segment addition postulate, we have:
TU+UV=TV
35+35=TV
TV= 70
Find the detailed calculations below;
TU = UV
8x + 11 = 12x - 1
8x + 11 - 11 = 12x - 1 - 11
8x = 12x - 12
8x - 12x = 12x - 12 - 12x
-4x = -12
x = 3
By using the substitution method to substitute the value of x into the expression for TU, we have:
TU = 8x + 11
TU = 8(3) + 11
TU = 24 + 11
TU = 35
By applying the transitive property of equality, we have:
UV = TU and TU = 15, then UV = 35
By applying the segment addition postulate, we have:
TV = TU + UV
TV = 35 + 35
TV = 70
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A company that manufactures a certain type of gardening tool determines its profit is dependent upon the sales price of the tool. The yearly profit can be modeled by the function
P(x)=−5.1(x−21.75)2+62.80
where P(x) represents the profit in thousands of dollars and x is the sales price (in dollars) of the tool.
Which of the following statements is true?
The minimum profit of $21.75 thousand occurs when the sales price of the tool is $62.80.
The minimum profit of $62.80 thousand occurs when the sales price of the tool is $21.75.
The maximum profit of $21.75 thousand occurs when the sales price of the tool is $62.80.
The maximum profit of $62.80 thousand occurs when the sales price of the tool is $21.75.
The correct option regarding the vertex of the quadratic equation is given as follows:
The maximum profit of $62.80 thousand occurs when the sales price of the tool is $21.75.
Vertex of a quadratic equationThe vertex-form representation of a quadratic equation of vertex (h,k) is given as follows:
f(x) = a(x - h)² + k.
The coefficient a is the leading coefficient, and it's meaning is given as follows:
a > 0: the vertex is a minimum point.a < 0: the vertex is a maximum point.In the context of this problem, the equation is given as follows:
P(x)= −5.1(x−21.75)² + 62.80
The parameters of the vertex are as follows:
h = 21.75, k = 62.80.
The leading coefficient is negative, hence the vertex is a maximum point, and the correct option is given as follows:
The maximum profit of $62.80 thousand occurs when the sales price of the tool is $21.75.
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Find the value of each angle
Answer:
15° and 75°----------------------------
Given is the right triangle.
The two angles are complementary, so their sum is 90°:
p - 10 + p + 50 = 902p + 40 = 902p = 50p = 25The angles are:
p - 10 = 25 - 10 = 15°p + 50 = 25 + 50 = 75°Answer:
p - 10° = 15° p + 50° = 75°Step-by-step explanation:
Now we have to,
→ find the value of each angle.
Forming the equation,
→ 90° + (p - 10°) + (p + 50°) = 180°
Now the value of p will be,
→ 90° + (p - 10°) + (p + 50°) = 180°
→ (90° - 10° + 50°) + (p + p) = 180°
→ 130° + 2p = 180°
→ 2p = 180° - 130°
→ p = 50°/2
→ [ p = 25° ]
Then the value of other angle is,
→ p - 10° || → p + 50°
→ 25° - 10° || → 25° + 50°
→ 15° || → 75°
Hence, these are the angles.
За – 15b – 2c|
HELPPP!!
Answer:
what are solving it with??
a + b = 10 a - b = 2
A) a = 5, b = 5
B) a = 2, b = 8
C) a = 6, b = 4 Eliminate
D) a = 3, b = 7
Answer:
Step-by-step explanation:
Answer:
Your answer would be C
6 (A) + 4 (B) = 10
6 (A) - 4 (B) = 2
Cycle City charges an initial price of $15 plus $0.75 per hour for bike rentals, which is
represented by the expression 15 +0.75h.
Complete each statement to describe the terms.
The variable h represents ?
The constant 15 represents ?
The variable term 0.75h represents ?
what are the exact values of a and b
The exact values of a and b in the right triangle are (a) a = 5, b = 5√3
How to determine the exact values of a and bFrom the question, we have the following parameters that can be used in our computation:
The right triangle (see attachment)
The exact values of a and b can be calculated from:
sinθ = opp/hyp
cosθ = adj/hyp
tanθ = opp/adj
Using the above as a guide, we have the following:
sin30 = a/10
1/2 = a/10
2a = 10
This gives
a = 5
Using Pythagorean theorem, we have
10² = b² + 5²
100 = 25+b²
b² = 100-25
b² = 75
This gives
b = 5√3
Hence, the exact value of a is 5 and b is 5√3
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48 pens are packed in four boxes how many pens are packed in nine boxes
Answer:
108 pens
Step-by-step explanation:
48/4=x/9
4x=432
x=108
Answer:
Since there are 12 pens packed in each box, because there are 48 packed in 4 boxes, there will be ( 12 times 9 ) 108 pens in 9 boxes.
A letter is drawn 1,000 times, at random, from the word ARABIA. There are two offers.
A) You win a dollar if the number of A's among the draws is 10 or more above the expected number.
B) You win a dollar if the number of B's among the draws is 10 or more above the expected number.
Choose one option and explain.
(i) A gives a better chance of winning than B.
(ii) A and B give the same chance of winning.
(iii) B gives better chance of winning than A.
(iv) There is not enough information to decide.
To determine which option gives a better chance of winning, we need to calculate the expected number of A's and B's in the 1,000 draws and compare it to the conditions for winning in each option.
Let's calculate the expected number of A's and B's:
Number of A's in "ARABIA": 3
Number of B's in "ARABIA": 1
Total number of letters in "ARABIA": 6
Probability of drawing an A: 3/6 = 1/2
Probability of drawing a B: 1/6
Expected number of A's in 1,000 draws: (1/2) * 1,000 = 500
Expected number of B's in 1,000 draws: (1/6) * 1,000 = 166.67
Now let's analyze the conditions for winning in each option:
Option A: You win a dollar if the number of A's among the draws is 10 or more above the expected number (500 + 10 = 510 or more).
Option B: You win a dollar if the number of B's among the draws is 10 or more above the expected number (166.67 + 10 = 176.67 or more).
Comparing the two options:
Option A requires having 510 or more A's out of the 1,000 draws.
Option B requires having 176.67 or more B's out of the 1,000 draws.
Since it is not possible to have a fraction of a letter, the number of B's will always be an integer. Therefore, it is impossible to reach the condition for winning in option B, as there can't be 176.67 B's.
Therefore, the correct answer is:
(i) Option A gives a better chance of winning than option B.
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quinn is baking sweet potato pies. the table shows the ratio of cups of sugar to number of pies. number of pies359 cups of sugar1 and one half2 and one half4 and one half how many cups of sugar will quinn need to make 16 pies? 8 cups 8 and one half cups 9 and one half cups 11 cups
Quinn will need 8 cups of sugar to make 16 pies based on the table that shows the ratio of pies and sugar.
Dividing and Multiplying FractionWhat we know from the question:
3 pies = 1 ½ cups of sugar
5 pies = 2 ½ cups of sugar
9 pies = 4 ½ cups of sugar
16 pies = ?
To make it easier, the answer will be explained through sentence:
First, we find out how much sugar it takes to make one pie. Use one of the ratio provided above by dividing the pie amount with the sugar’s. For example, 3 divided by 1 ½ equals ½ .
Therefore, one pie would require only ½ cups of sugar. Crosscheck with the other ratio to make sure it is correct using the same method earlier.
Second, we find out how much sugar it takes to make 16 pies. Multiply the amount of pies with the amount of sugar. So 16 x ½ equals 8.
Here are the summary
1 pies = ½ cups of sugar
16 pies = 8 cups of sugar
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i need some help with simple algebra! using pemdas :p
Answer:
the answer is 69
Step-by-step explanation:
the step by step explanation is that 2+2+4
pemdas
perenthasy
exponents
multiplication
division
adition
subtraction
PLEASE HELP ASAP
Apply the square root principle to solve (x-3)² + 9 = 0.
a. x=0,6
b. x=0,-6
c. x=-3+3i, -3 -3i
d. x=3+31,3-3i
The obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
(x-3)² + 9 = 0
(x-3)²= -9
(x-3)=√-9
(x-3)=√9×√-1
(x-3)=±3i
x=3±3i
Thus, the obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.
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In what year was the total number of states in the United States 3/5 the number it was in 1960 in 1960 it was 50
The total number of states in the United States was 30 in the year 1983.
To find the year when the total number of states in the United States was 3/5 the number it was in 1960, we can start by setting up a proportion:
(3/5) * 50 = x
where x is the total number of states in the year we're looking for.
To solve for x, we can multiply both sides by 5/3:
50 * 5/3 = x
83.33 ≈ x
Therefore, the total number of states in the United States was 3/5 the number it was in 1960 in the year 1983 (rounded to the nearest year).
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1.Find the period of the following functions. a) f(t) = (7 cos t)² b) f(t) = cos (2φt²/m)
Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.
We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =
(7 cos t)² = 2π/b = 2π/2π = 1.
The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =
cos (2φt²/m) is √(4πm/φ).
The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).
The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).
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factors other than the independent variable may also act on the dependent variable. if these factors vary systematically with the independent variable, they are called:
Factors other than independent variables which may act on the dependent variable , when these factors vary systematically with independent variable they are known as confounds variables or extraneous variable.
Factor which is other than the independent variable and might produce an effect in the given experiment.Manipulation of independent variable which has an effect on the expressions dependent variable.Other variables which has impact on changing the dependent variables are known as extraneous variable.Extraneous variables are also known as confounding variables.Confounding variables or extraneous variables these are the factors which does not manipulate and are part of the given experiment.Therefore, factors which vary systematically with the given independent variable is called confounds variables or extraneous variable.
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. At a certain probability cutoff level set by the analytics group at a bank, a data mining tool shows 10% error rate in classifying good applicants for a loan (1.e., 10% of customers who are actually good are misclassified as bad). The corresponding error rate for bad applicants is 20% (1.e., 20% of customers who are actually bad are misclassified as good). There are 1000 loan applicants in the dataset, of which 300 are actually good. Giving a loan to a bad applicant ends up in a loss of $5000 for the bank, while not giving a loan to a good applicant has 0 profit or loss. There is no profit or loss for correctly classifying a bad applicant, while the profit from giving a loan to a good applicant is $1000. 72. What is the profit at the cutoff probability set by the bank? Show your calculations. 7b. What is the lift ratio at the cutoff point? The lift ratio represents how much better (e.g., 3.5 times better) you are doing with the data mining tool as opposed to random selection. Show your calculations. Note: To answer 7a and 7b, you do not need to know the cutoff point itself. 7c. Theoretically what would be the lowest possible value of the first decile (height of the chart) based on the above data? Show your calculations.
7a. The profit at the cutoff probability set by the bank is $20,000, 7b. The lift ratio at the cutoff point is 3.5 and 7c. The lowest possible value of the first decile is 0.1.
To answer 7a and 7b, we need to calculate the number of good and bad applicants who are correctly and incorrectly classified. The following table shows the results of this calculation:
Classification Good Bad
Correct 270 80
Incorrect 30 160
The profit at the cutoff probability is calculated as follows:
Profit = (profit from correctly classifying good applicants) + (profit from incorrectly classifying bad applicants) - (loss from incorrectly classifying good applicants) - (loss from correctly classifying bad applicants)
Plugging in the numbers from the table, we get the following profit:
Profit = (1000 * 270) + (0 * 80) - (5000 * 30) - (0 * 160) = $20,000
The lift ratio is calculated as follows:
Lift Ratio = (profit with data mining tool) / (profit with random selection)
Plugging in the numbers from the table, we get the following lift ratio:
Lift Ratio = (20000 / 0) = 3.5
To answer 7c, we need to calculate the number of good applicants who are incorrectly classified as bad. The following table shows the results of this calculation:
Classification Good Bad
Correct 270 80
Incorrect 30 160
The number of good applicants who are incorrectly classified as bad is 30. The lowest possible value of the first decile is therefore 0.1, which is the fraction of good applicants who are incorrectly classified as bad.
Here are some additional explanations:
The profit at the cutoff probability is the total amount of money that the bank makes by using the data mining tool to make loan decisions. The lift ratio is a measure of how much better the data mining tool is at making loan decisions than random selection.
The lowest possible value of the first decile is the fraction of good applicants who are incorrectly classified as bad.
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what 157423 x 104969
Answer:
16524534887
Step-by-step explanation:
Answer:
16524534887
Step-by-step explanation:
just multiply, takes a while but you can do it
or you can just use a calculator