Answer:
2/5 or 40%
Step-by-step explanation:
there are 10 possible ways to choose 2 cards:
19,13
19,10
19,14
19,22
10,13
14,13
22,13
10,14
10,22
14,22
there are only 4 pairs whose sum is greater than 32:
19,14
19,22
13,22
14,22
Answer:
3/5
Step-by-step explanation:
1+20/400x1+20/400x1+20/400x1+20/400
Answer:
6/5 = 1.2 is the answer for the question
The question is 21/400 * 21/400 * 21/400 * 21/400. We can rephrase this as 21^4/400^4 for simplicity. 21^4 = 194,481, and 400^4 = 25,600,000,000. 194,481/25,600,000,000 = 7596.91406 * 10^8
I can't figure this question out can I please have help with this question
Answer:
360 or 90
Step-by-step explanation:
if u turn it 360 then u turn it all around and it is as u started with it at beginning and if 90 then u turn it half way but it still looks the same
How much is 6000 Peso (MXN) in US Dollars?
6000 Mexican pesos is equivalent to approximately $281.70 USD.
It's important to note that the exchange rate is not fixed and can fluctuate on a daily basis. So, if you need to convert a large sum of money, it's recommended to keep an eye on the exchange rate for a few days to make sure you get the best rate possible.
This rate is constantly changing due to many factors like inflation, political stability, and trade relations between the countries.
the conversion rate of 6000 MXN to USD is not a fixed value, and it's important to be aware of the current exchange rate to get the most accurate conversion.
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Cesar has 500 meters of fence to make a rectangular pen for his rabbits. If a shed is
used as one side of the pen, what would the dimensions be for maximum area? (Only
three sides are enclosed.)
By using the concept of maxima of a function, it can be calculated that
For maximum area,
Length of the pen perpendicular to wall = 125 m
Length of the pen parallel to wall = 250 m
What is maxima of a function?
Maxima of a function gives the maximum value of the function within a given interval or within the entire domain.
Here, the concept of maxima of a function will be used
Let the side of the pen perpendicular to the wall be x meter and the side of the pen parallel to the wall be y meter
A shed is used as one side of the pen.
Length of fencing = x + y + x = (2x + y) meter.
By the problem,
2x + y = 500
y = 500 - 2x
Area of the pen (A) = xy
= x(500 - 2x)
\(\frac{dA}{dx} = \frac{d}{dx}(x(500 - 2x))\\\)
= \(x(-2)+500-2x\\500 - 4x\)
For maximum area,
\(\frac{dA}{dx} = 0\\\)
\(500 - 4x = 0\\4x = 500\\x = \frac{500}{4}\\x = 125 \ m\)
y = 500 - 2 \(\times\) 125
y = 500 - 250
y = 250 m
\(\frac{d^2A}{dx^2} = \frac{d}{dx}(500 - 4x) = -4 < 0\)
Hence area is maximum
So, for maximum area,
Length of the pen perpendicular to wall = 125 m
Length of the pen parallel to wall = 250 m
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If one discount point costs the borrower 1% of the loan amount and increases the lender's yeild by ⅛ of 1 percent how many discount points must be purchased to lower the interest rate by 1 percent
Answer:
He has to buy 8 of course
Step-by-step explanation:
match each discription with the expression containing terms that model it.
Answer:
Step-by-step explanation:
How likely is it for Bryson to choose a number greater than four?
Answer:
Likely
Step-by-step explanation:
Let's list out all the numbers 1 to 12 first:
1 2 3 4 5 6 7 8 9 10 11 12
Nice! Now let's only keep the numbers that are greater than 4, since the other numbers don't satisfy the condition of "greater than 4"
5 6 7 8 9 10 11 12
There are 8 options that Bryson could choose out of all the 12 options. We can express that as 8 over 12:
\(\frac{8}{12}\)
Then, we simplify this by dividing both the numerator and denominator by 4, and we get:
\(\frac{2}{3}\)
Therefore, it is a 2/3 chance that Bryson will choose a number greater than 4, and we would say that 2/3 chance is likely, but not certain.
Answer:
1. 59% chance of drawing an odd card. "As likely as not."
2. A 66.67% chance of drawing a number greater than 4. Likely
Step-by-step explanation:
We will assume that all card draws are random, as promised.
The likihood of drawing an odd number is determined by counting how many numbers in the cards labelled 1 - 12 are odd. There are 6 odd and 6 even cards. Bryson's change of picking an odd card, randomly, is 6/12 (6 times out of 12 tries). That's a 50% chance. I don't see the options for answers, but "As likely as not" would be correct. The chance for even is also 6/12, or 50%
To determine the likihood of picking a number great than 4, count the values greater than 4 (5,6,7,8,9,10,11,12) There are 8 values greater than 4. Bryson has an 8/12 chance of picking a number greater than 4. That would mean a 66.666% chjance, which I would consider "likely."
I RLLY NEED HELP BC THIS WAS DUE ALREADY!!! Answer ASAP thank you!
Answer:
10,560 yards
Step-by-step explanation:
5280 plus 5280 equals 10,560
a news poll which estimated that 82% of all voters believe global warming exists had a margin of error of /- 3%. suppose an environmental group planning a follow-up survey on this issue wants to determine a 95% confidence interval with a margin of error of no more than 2%. how large a sample do they need? (for estimate of p use 0.82)
The needed sample size is 1419. Sample Size is defined as the number of observations in the study.
In the question we have ,
estimate value of all voters who believe global warming ( p) = 82% = 0.82
margin of error (M.E) = 2% = 0.02
confidence of interval is calculated by estimate point value and add or subtract margin of error .
here,we have the value of confidence of interval is 95% = 0.95
Margin of error formula is
M.E = Z × √(p(1-p)/n)
where, p --> is estimated value
n---> sample size , which we required
Z ----> is z-value for observation
for the confidence of interval level 95% , the Z-value is 1.96 exist.
put all value in above formula we get,
0.02 = 1.96 × sqrt( ( 0.82)(1-0.82)/n)
=> 0.02 = 1.96× √(0.82×0.18/n)
= 0.02/1.96 = √0.1476/n => 0.000104= 0.1476/n
=> n = 1419
So, sample size is large and it is 1419.
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Im having a really bad day help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only
8 miles per hour.
c
Today the boys went for a 20 miles trip, each boy was biking at his usual speed. How long did John wait for Brian at the finish line?
Hi there!
\(\large\boxed{0.5 \text{ hours, or } 30 \text{ minutes}}\)
Use the formula d / s = t to solve for the time needed for each:
Distance = 20 miles
(J)
20 m / 10 mph = 2 hours
(B)
20 m / 8 mph = 2.5 hours
Subtract the times to find the amount of time necessary to wait:
2.5 - 2 = 0.5 hours or 30 minutes.
suppose you have a function of two variables, nand k; for instance h(n, k).if you are told that h(n, k)
Given a function of two variables, n and k, denoted as h(n, k), the function describes a mathematical relationship or operation that depends on the values of both n and k. Further details about the specific function, its definition, or purpose are required to provide a more comprehensive explanation.
A function of two variables, h(n, k), typically represents a mathematical relationship or operation that involves two independent variables, n and k. The specific form and purpose of the function can vary widely depending on the context or problem at hand.
To understand the behavior and properties of the function h(n, k), additional information is needed. This may include the mathematical expression defining the function, any constraints or conditions on the variables, and the intended interpretation or application of the function.
The function h(n, k) could represent various scenarios, such as a cost function in economics, a probability distribution in statistics, or a mathematical model in a scientific context. Without more details, it is challenging to provide a specific explanation or analysis of the function and its implications.
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Which statistical value describes how well a regression line fits the data points?.
The statistical value describes a regression line fits the data points:
R-squared
What is Statistical Value?
When it is extremely unlikely that an observed event occurred by accident, it is deemed statistically significant. An observed event is considered statistically significant when its p-value is less than a certain cutoff, or level of significance.
The statistical value describes a regression line fits the data points is
R-squared
The statistical indicator of how closely the data resemble the fitted regression line is called R-squared. For multiple regression, it is sometimes referred to as the coefficient of determination or the coefficient of multiple determination.
R-squared = Explained variation / Total variation
R-squared is always between 0 and 100%
The better the model matches your data, in general, the greater the R-squared.
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An equilateral triangle has three congruent sides that measure 1 and 3/4 inches on each side. What is the perimeter of the triangle?
The perimeter of the equilateral triangle is 21/4 inches.
Given,
An equilateral triangle has three congruent sides that measure 1 and 3/4 inches on each side.
We need to find what is the perimeter of the triangle.
What is an equilateral triangle?An equilateral triangle is a triangle where all sides are equal.
Perimeter is given by :
= 3side
Find the sides of the equilateral triangle.
Side = 1 and 3/4 inches
= 7/4 inches
Find the perimeter of the equilateral triangle
Perimeter = 3 x side
= 3 x 7/4 inches
= 21/4 inches
Thus the perimeter of the equilateral triangle is 21/4 inches.
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please help if you know geometry I will mark brainliest
Answer:
A
Step-by-step explanation:
A clock in a hour makes a rotation of 360 degrees. So this emans each minute will make a rotation of 6 degrees. 12:12 to 12:50 is 38 degrees So
\(38 \times 6 = 228\)
A
please can help me answer it i dont get it please
Answer:
1.d
d is the correct answer
Sorry that's all I know SORRY!
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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9th term of 25,150,900
Answer: The 9th term is 41990400
Step-by-step explanation:
As we can see here 25, 150, 900 to find the common ratio i'll divide 150 by 25 which gives me 6
to 25 times 6 is 150
150 times 6 is 900
T=Term
1t=25 2t=150 3t=900 4t=5400 5t=32400 6t=194400 7t=1166400 8t=6998400 9t= 41990400
900*6= 5400
5400*6=32400
32400*6= 194400
194400*6= 1166400
1166400*6= 6998400
6998400*6=41990400
Extend Thinking: Find the x and y intercepts. (Use 2.1 & 2.2 notes to solve.)
7) y = x2 + 5x + 6
8) y = x2 – 3x + 2
Answer:
yes ok I see you
When his daughter alisa was born, mike began saving for her wedding. He wanted to have saved about $30,000 by the end of 20 years. How much should mike deposit into an account that yields 3% interest compounded annually in order to have that amount? round your answer to the nearest thousand dollars.
She should mike deposit of $16610.27 into an account that yields 3% interest compounded annually
what is compound interest?
Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.
we know that
The compound interest formula is equal to
\(A=P {(1 +\frac{r}{n})^{nt} }\)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
t=20 years
A=$30000
r=0.03
n=1
substitute in the formula above
\(30000=P {(1 +\frac{0.03}{1})^{1*20} }\)
=> $16610.27
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Janelle is considering two options for saving money. One option earns simple interest while the other option earns interest compounded monthly. If there are no additional deposits or withdraws, how much more will Janelle earn with the compound interest option? Assume Janelle deposits $3,000 at 3% interest for 7 years for both options
Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years
In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.
For the simple interest option, the interest is calculated using the formula:
I = P * r * t
Where:
I is the total interest earned
Using the given values, we can calculate the interest earned with simple interest:
I = 3000 * 0.03 * 7
I = 630
Now, let's calculate the total amount earned with the compound interest option.
Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:
r = 0.03/12
t = 7 * 12
Using these values, we can calculate the total amount with compound interest:
\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)
A ≈ 3,729.19
To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:
Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19
Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
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please help 100 points if correct ! :)
please actually answer
Instructions
Part 1: Celebration!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Well for the activity we can do a game.
In a game you start with 50 coins and everytime you kill a monster "x" you get 2 more coins.You need 100 coins to level up.
We can make the following inequality,
2x + 50 ≥ 100
So to find x we single it out,
2x + 50 ≥ 100
-50 to both sides
2x ≥ 50
Divide 2 by both sides
x ≥ 25
For the number line look at the image below ↓
The solution in the number line is the number of monsters killed in order to level up.
Hope this helps :)
Alina and Cesar estimated the number of miles they drove during a trip.
Alina estimated the number of miles they drove in the morning.
Cesar estimated the number of miles they drove in the afternoon.
Use the drop-down menus to complete the statements about Alina's and Cesar’s estimates.
The statements about Alina's and Cesar’s estimates should be completed as follows:
Alina is 5 miles off the actual mileage of 50 miles. That is a percent error of 10%. Cesar is 10 miles off the actual mileage of 200 miles. That is a percent error of 5%. Because Alina's mileage is lesser than Cesar's mileage, each mile of error results in a greater percent error.What is percentage error?Percentage error is also referred to as percent error and it can be defined as a measure of the extent to which an experimental numerical value differs from the actual (theoretical) numerical value.
Mathematically, percentage error can be calculated by using this expression;
\(Percent\; error = \frac{Actual\;value - Experimental\;value}{Experimental\;value} \times 100\)
For the Alina's result, we have:
Difference = Actual mileage - Estimated mileage
Difference = 50 miles - 45 miles
Difference = 5 miles.
Next, we would determine Alina's percentage error as follows:
Percentage error = 5/50 × 100
Percentage error = 500/50
Percentage error = 10%.
For the Cesar's result, we have:
Difference = Actual mileage - Estimated mileage
Difference = 200 miles - 190 miles
Difference = 10 miles.
Next, we would determine Cesar's percentage error as follows:
Percentage error = 10/200 × 100
Percentage error = 1000/200
Percentage error = 5%.
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Complete Question:
Alina and Cesar estimated the number of miles they drove during a trip. Alina estimated the number of miles they drove in the morning. Cesar estimated the number of miles they drove in the afternoon. Use the drop-down menus to complete the statements about Alina's and Cesar’s estimates.
Alina's Estimate Actual Mileage
45 miles 50 miles
Cesar's Estimate Actual Mileage
190 miles 200 miles
Alina is ___ miles off the actual mileage of 50 miles. That is a percent error of %.
Cesar is ___ miles off the actual mileage of 200 miles. That is a percent error of %.
Because Alina's mileage is _____ than Cesar's mileage, each mile of error results in a ____ percent error.
Three friends, Jessa, Tyree, and Ben, are collecting canned food for a culinary skills class. Their canned
food collection goal is represented by the expression 7x? - 4xy + 6. The friends have already collected
the following number of cans:
Jessa: 2x2
Tyree: 3x2 - 4
Ben: 3xy + 6
Part A: Write an expression to represent the amount of canned food collected so far by the three
friends. Show all your work. (5 points)
Part B: Write an expression that represents the number of cans the friends still need to collect to meet
their goal. Show all your work. (5 points)
Answer: Your welcome!
Step-by-step explanation:
Part A: 2x^2 + 3x^2 - 4 + 3xy + 6 + 6 = 7x^2 - 4xy + 6
Part B: 0 = 7x^2 - 4xy + 6 - (2x^2 + 3x^2 - 4 + 3xy + 6 + 6)
= 0 = 5x^2 - 4xy
A) The expression that represents the amount of canned food collected by the three friends is \(5x^2 + 3xy + 2\).
B) The expression that represents the number of cans the friends still need to collect to meet their goal is \(2x^2 - 7xy + 4\).
Given: Number of cans collected
Jessa: 2x²
Tyree: 3x² - 4
Ben: 3xy + 6
Goal : \((7x^2 - 4xy + 6)\)
A) The total amount collected:
Total = Jessa + Tyree + Ben
= \(2x^2 + (3x^2 - 4) + (3xy + 6)\)
= \(2x^2 + 3x^2 - 4 + 3xy + 6\)
= \((2x^2 + 3x^2 + 3xy) + (-4 + 6)\)
= \(5x^2 + 3xy + 2\)
Therefore, the expression is \(5x^2 + 3xy + 2\).
B) The number of cans the friends still need to collect to meet their goal is
Cans still needed = Goal - Total
\(= (7x^2 - 4xy + 6) - (5x^2 + 3xy + 2)\)
\(= 7x^2 - 4xy + 6 - 5x^2 - 3xy - 2\)
\(= (7x^2 - 5x^2) + (-4xy - 3xy) + (6 - 2)\)
\(= 2x^2 - 7xy + 4\)
Therefore, the expression is \(2x^2 - 7xy + 4\).
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How do I simplify efficiently?
3(x-2)+7(x-2)
Answer:
10(x - 2)--------------------
We see x - 2 is the common factor in the given expression.
Simplify as:
(x - 2)(3 + 7) = (x - 2)(10) = 10(x - 2)Answer:
10x - 20
Step-by-step explanation:
distribute the 3 and the 7 into the parentheses, getting you to (3x - 6) + (7x - 14), from there you should be able to just combine the like terms getting you to 10x - 20.
plzzzz help quickly
Which of the following equations is equivalent to the given line: y = 2/3x - 6 A 2x + 3y = -6 3x - 2y = 6 c. 3x - 2y = 12 D. 2x - 3y = 18
Answer:
B 3x-2y=6 is the correct answer
help and pls show work ty:
A person is making an ice rink by pouring water out of a hose. If water is spreading in a circular shape and the area covered by water grows with the rate of 3 ft?/sec find at what rate the circumference is growing when water covers 50 ft?. Round your answer to the nearest hundredth.
The rate at which the circumference is growing when the water covers 50 ft is found to be at 0.019 ft/s.
How do we calculate?The formula for the area of a circle is shown as :
A = πr^2
where A = area
π = 3.142
r = radius
We will differentiate with respect to time, :
dA/dt = 2πrn xdr/dt
we have that dA/dt = 3 ft²/s
3 = 2π(25) x dr/dt
we calculate for dr/dt,
dr/dt = 3/(50π) = 0.019 ft/s
In conclusion, if a person is making an ice rink by pouring water out of a hose. If water is spreading in a circular shape and the area covered by water grows with the rate of 3 ft?/sec, the rate at which the circumference is growing when the water covers 50 ft is found to be at 0.019 ft/s.
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solve each system by graphing
Answer:
x4 y9?
Step-by-step explanation:
Don't put my answer in just maike sure its correct!
calculate the average lateness using the earliest due date criterion to determine the schedule for these five jobs. job process time due date a 2 7 b 8 16 c 4 4 d 10 17 e 5 15
A 3
B. 124
C. 10
D. 14
Therefore, the average lateness using the earliest due date criterion is 2. The corect option is not one of the given options (A, B, C, or D).
To calculate the average lateness using the earliest due date criterion, we need to first determine the sequence in which the jobs should be processed. The earliest due date (EDD) criterion schedules jobs in the order of increasing due dates, so we will arrange the jobs in this order:
c, a, e, b, d
The table below shows the processing time, due date, and completion time of each job, as well as the lateness (completion time - due date) for each job:
Job Processing Time Due Date Completion Time Lateness
c 4 4 4 0
a 2 7 6 -1
e 5 15 11 -4
b 8 16 19 3
d 10 17 29 12
To calculate the average lateness, we add up the lateness values for all jobs and divide by the total number of jobs:
Average lateness = (0 + (-1) + (-4) + 3 + 12) / 5
= 2
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Evaluate ddtr(g(t)) using the Chain Rule:
r(t)=〈et,e3t,−9〉,g(t)=8t−1
d/dtr(g(t))
Answer:
d/dt r(g(t)) = <8e^(8t-1), 24e^(24t-3), 0>
Step-by-step explanation:
To use the Chain Rule to evaluate d/dt r(g(t)), we need to first substitute g(t) into the components of the vector r(t) and then differentiate each component with respect to t.
So, we have:
r(g(t)) = r(8t - 1) = <e^(8t-1), e^(24t-3), -9>
Now, to find d/dt r(g(t)), we differentiate each component with respect to t:
d/dt r(g(t)) = <d/dt (e^(8t-1)), d/dt (e^(24t-3)), d/dt (-9)>
= <8e^(8t-1), 24e^(24t-3), 0>
Therefore, d/dt r(g(t)) = <8e^(8t-1), 24e^(24t-3), 0>.
Please help ASAP geometry
The rounded area of the figure is approximately 86.9 square units.
To find the area of the figure, we need to calculate the sum of the area of the rectangle and the area of the semicircle.
Rectangle Area:
The length of the rectangle is 14 units and the width is 8 units. The area of a rectangle is calculated by multiplying its length and width. Therefore, the area of the rectangle is 14 × 8 = 112 square units.
Semicircle Area:
The semicircle is removed from one of the short sides of the rectangle. The radius of the semicircle is half the width of the rectangle, which is 8/2 = 4 units.
The area of a semicircle is given by (π × r^2) / 2, where r is the radius. Therefore, the area of the semicircle is (π × 4^2) / 2 = 8π square units.
Total Area:
Now we can calculate the total area by subtracting the area of the semicircle from the area of the rectangle:
Total Area = Rectangle Area - Semicircle Area
= 112 - 8π
To round to the nearest tenth, we need to evaluate the numerical value of π. Using an approximation of π as 3.14, we can calculate the total area:
Total Area ≈ 112 - 8 × 3.14
≈ 112 - 25.12
≈ 86.88
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