Answer:
It would be the third one (x, y) for all real numbers
What is one hundredth more than 2.89?
Answer: 2.90
Step-by-step explanation: 2.89
the 9 is in the hundredth place so if you add a hundredth it would be like 2.89+.01=2.90
How many members did not vote there is 75% and 60 people?
Answer:
15
Step-by-step explanation:
if 75% voted that is 45 people meaning 15 did not vote.
Help please I don’t get it
a) The expected number of people to die before their 71st birthday is given as follows: 128.
b) The probability that a 67 year old woman will live to her 68th birthday is given as follows: 0.8876 = 88.76%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
0.025679 of the 70 year old men die, hence the expected number out of 5000 is given as follows:
0.025679 x 5000 = 128.
The probability for item b is given as follows:
0.016798/0.018925 = 0.8876 = 88.76%.
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2. Quinn receives 48K per year as a store manager. His benefits include health insurance, paid holidays, retirement
contributions, paid vacation, and uniforms per year. He constructed the table to show the value of each benefit. What is
his annual salary, including benefits?
you
try!
Benefit
Health Insurance
Paid Holidays
Retirement Contributions
Paid Vacation
Uniform Supplied
Value
$10,200
$915
$5,200
$1,950
$3,000
Calculate X you must include the steps in your solution and the definitions and/or conjuncture that you use
Answer: x = 8
because The upper triangle is an isosceles triangle (the two sides are equal)
=> 5x + 5 = 45°
<=> x = (45 - 5) : 5
<=> x = 40:5 = 8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
5x + 5 + 5x + 5 + 90 = 180, that is
10x + 100 = 180 ( subtract 100 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
oncerns about climate change and co2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). random samples of 47 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) if the true mean is .9340 with a standard deviation of 0.0030, within what interval will 98 percent of the sample means fall? (round your answers to 4 decimal places.)
The interval is from 0.9330 to 0.9350
For given condition;
mean = 0.9340
standard deviation = 0.0030
z-score at 98% = 2.33
n = size of sample = 47
Step 1: calculate the standard error of the mean
standard error of mean = z-score * standard deviation/sqrt(n)
= 2.33 * 0.0030/\(\sqrt{47}\)
= 0.0010
step 2: upper limit = mean + standard error
= 0.9340 + 0.0010
= 0.9350
lower limit = mean - standard error
= 0.9340 - 0.0010
= 0.9330
Hence, the interval is from 0.9330 to 0.9350
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Please tell me the answer for
Factorise 15p square - 7q square
Step-by-step explanation:
15p square - 7q square
square(15p-7q)
hope it helps
PLEASE HURRY!!!!!!!!
For every 3 packages that Marcella wraps, she uses 1/2
of a roll of wrapping paper.
If she uses 2 1/2
rolls of wrapping paper, how many packages has she wrapped?
Enter your answer in the box.
Answer:
To calculate how many packages Marcella has wrapped, you need to first calculate how many packages each roll of wrapping paper can be used for. Since Marcella uses 1/2 of a roll of wrapping paper for every 3 packages, it follows that she can wrap 3 packages for every 1/2 roll of wrapping paper. Therefore, 2 1/2 rolls of wrapping paper can be used to wrap 15 packages.
Which of the statements below are true? Select all that apply. A) (2, 2) is a point on the line shown B) (3,6) is a point on the line shown C) Each pack of gum costs $2.00 D) Each pack of gum costs $0.50.
Answer:
C)
Step-by-step explanation:
statisticians calculate the consumer price index by taking the 80,000 prices of individual products and combining them, using ______________ .
Statisticians calculate the Consumer Price Index (CPI) by combining the 80,000 prices of individual products using a weighted average based on their relative importance or expenditure weights.
The Consumer Price Index is a measure of the average change over time in the prices paid by urban consumers for a basket of goods and services. To calculate the CPI, statisticians collect price data for a representative sample of approximately 80,000 individual products that are commonly purchased by urban consumers. These products cover a wide range of categories, including food, housing, transportation, healthcare, and more.
Each product's price is then multiplied by its respective expenditure weight, which represents the proportion of total consumer spending allocated to that product. These weights are determined through surveys and data analysis to reflect the typical spending patterns of urban consumers. The resulting values are then summed up to obtain a total expenditure amount.
To calculate the CPI, statisticians divide the total expenditure by a base period expenditure and multiply the result by 100. The base period is typically a reference point or benchmark year against which the price changes are measured. This process allows for tracking and comparing price changes in the basket of goods and services over time, providing insight into inflation and changes in the cost of living.
In summary, statisticians calculate the Consumer Price Index by combining the prices of 80,000 individual products using a weighted average based on their expenditure weights, representing the relative importance of each product in urban consumers' spending patterns. This method allows for measuring and monitoring changes in the overall price level and cost of living.
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Suppose that two teams play a series of games that ends whenone of them has won i games. Suppose that each game playedis, independently, won by Team A with a probability of p.Find the expected number of games that are played when (a)i=2 and (b) i=3. Also show in both cases thattheis number is maximized when p=1/2.
Given: Two teams play a series of games that ends when one of them has won i games. Suppose that each game played is, independently, won by Team A with a probability of p. We need to find the expected number of games that are played when (a)i=2 and (b) i=3.
Also show in both cases that the number is maximized when p=1/2.Solution: Let N be the expected number of games played. Then the number of games played must be N if the series is won by A in i - 1 games, and N + i if it is won in i games. Then we have N = (1-p)N + p(N+1) ; here (1-p) is the probability that A does not win the game, and p is the probability that A wins the game
N = 1/pi.e., the expected number of games played until a win for A is 1/p, so the expected number of games played when i=2 is 1/p+1/p+1=2/p+1, and the expected number of games played when \(i=3 is 3/p+2/p+1/p+1=6/p+1\). In order to maximize both of these quantities, we must maximize \(p(1-p)^{i-1} for i=2 and i=3.\)
We could use calculus to find the maximum value, but instead we can use AM-GM: For i=2,p(1-p) ≤ ((p) + (1-p))/2 = 1/2, \(i=2,p(1-p) ≤ ((p) + (1-p))/2 = 1/2\)with equality when p = 1/2.
Similarly, for i=3,p(1-p)^2 ≤ ((p) + (1-p) + (1-p))/3 = 1/4, \(i=3,p(1-p)^2 ≤ ((p) + (1-p) + (1-p))/3 = 1/4\)with equality when p = 1/2. So the expected number of games played is minimized when p=1/2.
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if f(x)=200 x+50 and g (x)=100 x+85 what is f(5)+g(7)
Answer:
1835
Step-by-step explanation:
f(x) = 200x + 50
f(5) = 200(5) + 50
= 1000 + 50
= 1050
g(x) = 100x + 85
g(7) = 100(7) + 85
= 700 + 85
= 785
f(5) + g(7) =
1050 + 785 =
1835
-help me write an equation!!!
The absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex for this problem are given as follows:
(1, -2).
As the slope of the line is of 1, the leading coefficient is given as follows:
a = 1.
Hence the absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
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6. Which graph best represents the solution set of y>3 x-4?
The required graph of the solution to the given inequality y>3 x-4 has shown.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
y > 3x-4
Illustrating the above inequality on the coordinate plane, the yellow shaded region shows the solution of the given inequality y > 3x-4.
Thus, the required graph of the solution to the given inequality y>3 x-4 has shown.
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A 2.0kg box is released from rest at a height of 0.25m on a frictionless ramp. The box slides from the ramp onto a rough horizontal surface with a friction coefficient of 0.50.
At the base of the ramp, the box is moving at a speed of roughly 2.21 m/s.
On the uneven horizontal surface, the box will move around 0.508 meters before stopping.
To analyze the motion of the box, we can break it down into different stages:
Stage 1: Box sliding down the ramp (height = 0.25m)
Stage 2: Box sliding on the rough horizontal surface (friction coefficient = 0.50)
Determine the box's final velocity after sliding on the uneven horizontal surface by computing the motion of the object at each stage.
Stage 1: Box sliding down the ramp :-
Using the principle of energy conservation, we can determine the box's speed when it reaches the bottom of the ramp.
Since there is no energy loss due to friction, the original potential energy at the top of the ramp will be transformed into kinetic energy at the bottom.
The potential energy at the top of the ramp is given by:
\(\mathrm{PE_{top} = m \times g \times h}\)
where m = mass of the box = 2.0 kg (given)
g = acceleration due to gravity = 9.81 m/s² (approximate value on Earth)
h = height of the ramp = 0.25 m (given)
\(\mathrm {PE_{top}} = \mathrm {2.0 \ kg \times 9.81 \ m/s^2 \times 0.25 \ m \approx 4.905\ J}\)
The kinetic energy at the bottom of the ramp will be equal to the potential energy at the top:
\(\mathrm {KE_{bottom} = PE_{top} = 4.905 \ J}\)
The kinetic energy is given by:
\(\mathrm {KE = (1/2) \times m \times v^2}\)
where v is the velocity of the box at the bottom of the ramp.
\(\mathrm {4.905 \ J = (1/2) \times 2.0 \ kg \times v^2}\)
\(\mathrm{v^2 = 4.905 \ J \times 2 / 2.0 \ kg}\)
\(\mathrm{v^2 = 4.905 \ m^2/s^2}\)
v ≈ 2.21 m/s
So, the velocity of the box at the bottom of the ramp is approximately 2.21 m/s.
Stage 2: Box sliding on the rough horizontal surface :-
The friction coefficient is denoted by the symbol = 0.50.
Let's now determine the slowdown brought on by friction on the uneven horizontal surface.
The friction force can be calculated using the equation:
friction force = μ × normal force
Since there is no vertical acceleration (the box doesn't lift off the ground), the normal force acting on the object is equal to its mass (mg).
normal force = \(\mathrm {m \times g = 2.0\ kg \times 9.81 m/s^2 \approx 19.62\ N}\)
friction force = \(\mathrm {0.50 \times 19.62 \ N \approx 9.81 \ N}\)
The friction force operates against the direction of motion, causing the box to decelerate (have a negative acceleration).
Newton's second law provides the net force in the horizontal direction:
net force = mass × acceleration
acceleration = net force / mass
acceleration = -9.81 N / 2.0 kg
≈ -4.905 m/s²
The opposite of the initial motion is being accelerated, as indicated by the negative sign.
Now, we can find the distance the box travels on the rough horizontal surface.
The final velocity (\(\mathrm{v_{final}}\)) on the rough surface can be found using the following kinematic equation:
\(\mathrm{(v_{final})^2 = (v_{initial})^2 + 2 \times acceleration \times distance}\)
Since the box starts from rest (\(\mathrm{v_{initial} = 0 \ m/s}\)) on the rough surface, the equation simplifies to:
\(\mathrm{v_{final} = \sqrt{ (2 \times acceleration \times distance)}}\)
Plugging in the values:
\(\mathrm{2.21 \ m/s = \sqrt{(2 \times (-4.905 \ m/s^2) \times distance)}}\)
Solving for distance:
\(\mathrm{distance = \frac{(2.21 \ m/s)^2}{2 \times (-4.905 m/s^2)} \approx 0.508 \ m}\)
Thus, the box will move around the uneven horizontal surface for about 0.508 meters before stopping.
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I need help. Please help me, thxs.
Answer:
50 years.
Step-by-step explanation:
Hope this helps!
pqr +pq + pr + 4pqr - 2pr - 2qr solve this algebraic expression
Answer:
\(5pqr-2qr+pq-pr\)
Step-by-step explanation: It seems as though something is missing from this question... Perhaps the values of the variables (P, Q, R)?
If not, I was able to get this answer by combining like terms. Without numbers, that is as far as you can go!
Hope this helps!
pablo drank about 2 ? of juice with lunch.
A)cups
B)gallons
Answer:
2 cups
Step-by-step explanation:
a child could not survive 2 gallons of juice
Ana filled her gas tank up with 16 gallons. her gas tank loses 0.04 of a gallon every mile she drives. how many gallons will be left in the gas tank after she drives 180 miles?
Answer:
8.8 gallons left in the gas tank.
Step-by-step explanation:
180 x 0.04 = 7.2
16 - 7.2 = 8.8
The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with lambda = 0.00004. What is the probability that the time until failure is at least 20,000 hours? at most 30,000 hours? between 20,000 and 30,000 hours? What is the expected number of hours until failure? What is the standard deviation of the number of hours until failure? What is the probability that the time until failure is greater than 20,000 hours, given it is greater than 15,000 hours?
This gives the probability of the time until failure being greater than 20,000 hours, given that it is already greater than 15,000 hours.
To find the probability that the time until failure is at least 20,000 hours, we can use the exponential cumulative distribution function (CDF). The formula for the exponential CDF is given by:
CDF(x) = 1 - exp(-λx)
where λ is the rate parameter of the exponential distribution, and x is the value at which we want to evaluate the CDF.
Given λ = 0.00004 and x = 20,000, we can calculate the probability as follows:
CDF(20,000) = 1 - exp(-0.00004 * 20,000)
To find the probability that the time until failure is at most 30,000 hours, we can use the same exponential CDF:
CDF(30,000) = 1 - exp(-0.00004 * 30,000)
To find the probability that the time until failure is between 20,000 and 30,000 hours, we can subtract the probability from the CDF at 20,000 hours from the CDF at 30,000 hours:
Probability = CDF(30,000) - CDF(20,000)
To find the expected number of hours until failure, we can use the formula for the expected value of an exponential distribution, which is given by:
E(X) = 1/λ
Given λ = 0.00004, we can calculate the expected value as follows:
E(X) = 1/0.00004
To find the standard deviation of the number of hours until failure, we can use the formula for the standard deviation of an exponential distribution, which is given by:
σ = 1/λ
Given λ = 0.00004, we can calculate the standard deviation as follows:
σ = 1/0.00004
To find the probability that the time until failure is greater than 20,000 hours, given it is greater than 15,000 hours, we can use the conditional probability formula:
Probability = (1 - CDF(20,000)) / (1 - CDF(15,000))
This gives the probability of the time until failure being greater than 20,000 hours, given that it is already greater than 15,000 hours.
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the price of a gallon dropped from the summer high price of 3.50 to a winter low price 2.87. By what percentage was the gas reduced?
Answer:
63%
Step-by-step explanation:
First you want to take 3.50-2.87
Then you get .63
Then you are going to want to convert that to a percentage which is 63%
(This should be right but if its not please let me know)
Answer:
Step-by-step explanation
Step #1
3.50-2.87 will equal 0.63
Step #2
put 0.63 over 3.50 times that by 100 and you 63 and 350 so you divide that and get 0.18 which equals 18% your welcome loves
Please check the attached picture, please answer thoroughly!
The selection depends on individual needs, preferences, and the intended use of the tiny house.
a) To find the amount of space inside each house, we need to calculate the volume for each design.
House on the left:
Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³
Triangular house:
Volume of a triangular prism = (base area x height) / 2
Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²
Volume = (20 m² x 7 m) / 2 = 70 m³
b) When comparing the environmental impacts of each house, several factors need to be considered:
Positive impacts:
1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.
2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.
3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.
Negative impacts:
1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.
2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.
3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.
c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:
The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.
The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.
Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.
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Gene sells a trail bike to Hollis without disclosing that the odometer, which reads 10,000 miles, was disconnected 90,000 miles ago. Most likely this contract:
The contract between Gene and Hollis regarding the trail bike is most likely voidable due to the non-disclosure of the disconnected odometer.
Gene's failure to disclose that the odometer on the trail bike was disconnected 90,000 miles ago raises concerns of misrepresentation and fraud. Generally, when a seller fails to disclose material information that would significantly impact a buyer's decision-making process, it can render the contract voidable. In this case, the disconnection of the odometer and the significant difference between the displayed mileage and the actual mileage could be considered material information.
The non-disclosure of the disconnected odometer could be seen as a fraudulent act, as it involves intentional deception or misrepresentation. Fraudulent misrepresentation can provide grounds for the affected party (in this case, Hollis) to seek remedies such as rescission of the contract, seeking damages, or demanding a refund. The misrepresented mileage could significantly affect the value and condition of the trail bike, as well as Hollis' decision to purchase it.
It is important to note that contract laws can vary across jurisdictions, and specific circumstances may influence the legal outcome. Consulting with a legal professional familiar with the applicable laws and regulations in the relevant jurisdiction would provide the most accurate advice regarding the contract's enforceability and potential remedies available to Hollis.
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Which of the following pairs of triangles can be proven congruent by SAS?
A. (Image 1)
B. (Image 2)
C. (Image 3)
D. (Image 4)
Answer:
Step-by-step explanation:
image 2
The pairs of triangles that can be proven to be congruent to each other by SAS is: B. Image 2
What is the SAS Congruence Theorem?Based on the Side-Angle-Side Congruence Theorem, when two sides and an included angle of one triangle is congruent to corresponding two sides and an included angle of another triangle, bot triangles can be proven to be congruent triangles.
The second image shows that ΔABC and ΔDEF has:
two pairs of congruent sides - AC ≅ DF and BC ≅ EFone pair of congruent included angles - ∠C ≅ ∠FTherefore, the pairs of triangles that can be proven to be congruent to each other by SAS is: B. Image 2
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Please help me if it's correctbo will give a brainly!!!
What is the height of the cylinder? The figure is not drawn to scale.
V = 282.7 in²
18 in
11.3 in
7.2 in
3.6 in
The height of the cylinder is \(3 inch\)
How can the height of the cylinder be found?Based on the attached figure,
Volume of the cylinder = 282.7 square inches
Radius of the cylinder =5 inches.
The height of the cylinder = ?
The volume of the cylinder can be found with the formula as :
\(V=pi r^{2} h\)
\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)
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How many 3’s are in 1/8?
Answer:
There are none
Step-by-step explanation:
Because 1/8 = 0.125
Just divide 1 over 8
The number of 3's in the given fraction number 1/8 is, Zero
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
A fraction number, 1/8
The number of 3's = ?
⇒ 1/8 = 0.125
There is no number 3 present in the result of this division
Hence, the number of 3's is Zero
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10.5125 rounded to the nearest cent plz help me ty <3
Answer: your answer should be 10.5130
Step-by-step explanation:
The perimeter of a rectangle in 48 inches. If the length is 3 inches less than twice the width, find the length and width of the rectangle
Answer:
W = 9
L = 15
Step-by-step explanation:
I don't know how I got the answer, I just grabbed a calculator and started punching in numbers till I got what I was looking for.
Megan use 2/3 cup of almonds to make 4 cups of trail mix. Using this same portion, how many cups of almonds would Megan need to make 9 cups of trail mix.