Cory's percent error for his trip time prediction was 13.5% after rounding to the nearest tenth of a percent.
To calculate Cory's percent error for predicting his travel time to Baltimore from Washington D.C., we can use the formula for percent error:
Percent Error =[tex]|(Actual Value - Predicted Value) / Actual Value| \times 100%[/tex]
In this case, Cory's predicted time (Predicted Value) is 64 minutes, and the actual time taken (Actual Value) is 74 minutes. We can plug these values into the formula:
Percent Error = [tex]|(74 - 64) / 74| \times 100%[/tex]
Percent Error = [tex]|10 / 74| \times 100%[/tex]
Percent Error =[tex]0.1351 \times 100%[/tex]
Calculating further:
Percent Error = 13.51%
When rounded to the nearest tenth, Cory's percent error is 13.5%.
palace help me solve these two equations 14, 15
today there are 3,659 thousand elementary and secondary teachers employed in a certain country. this number is expected to increase to 3,856 thousand by next decade. what is the percent increase?
Three times a number added to seven is 22
3x+7=22
3x=15
x=5
the number is 5
The tables represent two linear functions in a system.
What is the solution to this system?
The solution to this system is (x, y) = (8, -22).
The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).
You can extend each table after the same pattern.
In table 1, x-values increase by 2 and y-values decrease by 8.
In table 2, x-values increase by 2 and y-values decrease by 6.
The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...
... (x, y) = (8, -22)
Answer:
(8,-22)
Step-by-step explanation:
Table 1)
To form equation we will use two point slope form
[tex](x_1,y_1)=(-4,26)\\(x_2,y_2)=(-2,18)[/tex]
Formula :[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substitute the values :
[tex]y-26=\frac{18-26}{-2+4}(x+4)[/tex]
[tex]y-26=-4(x+4)[/tex]
[tex]y-26=-4x-16[/tex]
[tex]y=-4x-16+26[/tex]
[tex]y=-4x+10[/tex] ---1
Table 2)
To form equation we will use two point slope form
[tex](x_1,y_1)=(-4,14)\\(x_2,y_2)=(-2,8)[/tex]
Formula :[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substitute the values :
[tex]y-14=\frac{8-14}{-2+4}(x+4)[/tex]
[tex]y-14=-3(x+4)[/tex]
[tex]y-14=-3x-12[/tex]
[tex]y=-3x+2[/tex] ---2
Now we are supposed to solve 1 and 2
Substitute the value of y from 1 in 2
[tex]-4x+10=-3x+2[/tex]
[tex]8=x[/tex]
Substitute the value of x in 2
[tex]y=-3(8)+2[/tex]
[tex]y=-22[/tex]
Hence the solution to this system is (8,-22)
Describe the relationship between the similarity ratio of two triangles and the ratio of their areas.
486 is what percent of 900
Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 50 km/h. After six hours, the velocity of the car is 54 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equation obtained in Part A for the first seven hours? (5 points)
Find all solutions to the equation csc theta +sqrt2 = 0
A pizza parlor sold 38 1/8 pizzas during a dinner hour. If each pizza contained 8 slices, how many slices of pizza were sold?
38*8 = 304
304 + 1 =305 slices were sold
a soccar team spent $55 dollars on supplies for a car wash then earned $275 whats their total after paying for supplies
what is the area of a circle with a radius of 7 inches
Answer is provided in the image attached.
py+7=6y+q
what is the answer for this question (linear equations with unknown coefficients)?
Answer:
The required equation is [tex]y =\frac{(q-7)}{(p-6)}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]py+7=6y+q[/tex]
We need to simplify the equation and convert it into a linear equation with unknown coefficients.
Subtract 6y from both sides.
[tex]py - 6y + 7 = q[/tex]
Subtract 7 from both sides.
[tex]py - 6y = q - 7[/tex]
Take y common from left side.
[tex]y(p-6) = q-7[/tex]
Divide both sides by p-6.
[tex]y =\frac{(q-7)}{(p-6)}[/tex]
Hence, the required equation is [tex]y =\frac{(q-7)}{(p-6)}[/tex].
you have 5 antiques and want to display 3 on a shelf. how many different 3 antique arrangements are possible
A basket contains five apples and seven peaches. Four of the apples and two of the peaches are rotten. You randomly pick a piece of fruit. It is fresh or it is an apple. Find the probability of this occuring.
Answer:[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given
5 apples and 7 peaches out of which 4 apples and 2 peaches is rotten
i.e. 1 apple and 5 peaches is fresh
probability of fresh fruit is =[tex]\frac{6}{12}[/tex]
probability of apple =[tex]\frac{5}{12}[/tex]
Probability of both =[tex]\frac{1}{12}[/tex]
Probability of fresh or an apple is=[tex] \frac{6}{12}+\frac{5}{12}-\frac{1}{12}[/tex]
=[tex]\frac{5}{6}[/tex]
If 5 workers can pave 10 driveways in 30 days, how many days would it take 20 workers to pave 38 driveways?
solve for y 6y-8=3y-2
6y-8 =3y-2
subtract 3y from both sides
3y-8 = -2
add 8 to both sides
3y=6
y=6/3 =2
y = 2
Use rounding or compatible numbers to estimate sum 198+727
It is desired to estimate the mean gpa of each undergraduate class at a large university. assume that the variance of the gpas is 1.44. how large a sample is necessary to estimate the mean gpa within 0.25 at the 99% confidence level
To estimate the mean GPA of each undergraduate class at a large university within a margin of error of 0.25 at a 99% confidence level, approximately 187 samples are needed.
Explanation:To estimate the mean GPA of each undergraduate class at a large university within a margin of error of 0.25 at a 99% confidence level, we need to determine the required sample size. In this case, we can use the formula for sample size determination, which is:
n = (Z^2 * σ^2) / E^2
Where:
n is the required sample sizeZ is the Z-score associated with the desired confidence level (99% corresponds to a Z-score of approximately 2.58)σ^2 is the variance of the GPAs (given as 1.44)E is the desired margin of error (0.25)Plugging in the values, we get:
n = (2.58^2 * 1.44) / 0.25^2
n ≈ 186.43
Therefore, we need a sample size of approximately 187 to estimate the mean GPA within a margin of error of 0.25 at a 99% confidence level.
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You have been offered a project paying $300 at the beginning of each year for the next 20 years. what is the maximum amount of money you would invest in this project if you expect 9 percent rate of return to your investment?
Determine whether the given differential equation is exact. if it is exact, solve it. (if it is not exact, enter not.) (3x + 6y) dx + (6x − 8y3) dy = 0
The given differential equation (3x + 6y) dx + (6x − 8y3) dy = 0 is exact because its mixed partial derivatives are equal. To solve it, first integrate M with respect to x to get a function involving an unknown function of y, then compare it with N to determine the unknown function.
Explanation:To determine if the given differential equation is exact, we need to check if the partial derivative of M with respect to y is the same as the partial derivative of N with respect to x. In this given differential equation (3x + 6y) dx + (6x − 8y3) dy = 0, M = 3x + 6y and N = 6x - 8y3. First, compute the partial derivative of M with respect to y (∂M/∂y) which is 6, then the partial derivative of N with respect to x (∂N/∂x), which is 6 as well. Since ∂M/∂y=∂N/∂x, the given differential equation is exact.
To solve this exact differential equation, we integrate M dx, i.e., ∫M dx, to get ψ(x,y) =1.5x^2+6xy+h(y), where h(y) is an arbitrary function of y. Next, differentiate ψ(x,y) with respect to y, then compare the result with N: ψy=6x+dh/dy=6x-8y³. Solving for dh/dy gives dh/dy=-8y³, so integrating this gives h(y)=-2y⁴+C, where C is a constant. Therefore, the solution to the differential equation is ψ(x,y)=1.5x²+6xy-2y⁴=C.
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The social studies teacher is giving a test worth 80 points, and containing 34 questions. There are 2 point and 4 point questions on the test. How many of each type of question are on the test? Show your work. A. List the two equations B. Find each type of question
John has taken out a loan for college. He started paying off the loan with a first payment of $100. Each month he pays, he wants to pay back 1.1 times the amount he paid the month before. Explain to John how to represent his first 20 payments in sequence notation. Then explain how to find the sum of his first 20 payments, using complete sentences.
A store is selling two mixtures of coffee beans in one-pound bags. The first mixture has 12 ounces of Sumatra combined with 44 ounces of Celebes Kalossi, and costs $42. The second mixture has 44 ounces of Sumatra and 12ounces of Celebes Kalossi, and costs $30. How much does one ounce of Sumatra and one ounce of Celebes Kalossi cost?
To make the two triangles below similar, what would the values of x and y have to be?
Breanna works in the mall and her hours increase during busy shopping times of the year. Breanna has a plan to save $25 each week for 5 weeks, and then increase that amount by $20 for the next 7 weeks during the busy time, then go back to $25 per week. If Breanna’s plan is to save $540, how many weeks total will she need to save?
a.
11 weeks
b.
16 weeks
c.
22 weeks
d.
23 weeks
Answer:
Number of weeks Breanna saves are 16 weeks .
Option (b) is correct .
Step-by-step explanation:
As given
Breanna works in the mall and her hours increase during busy shopping times of the year.
Breanna has a plan to save $25 each week for 5 weeks.
Thus
Breanna saves in first 5 weeks = Amount saves per weeks in next 5 weeks × Number of weeks .
= $25 × 5
= $ 125
Increase that amount by $20 for the next 7 weeks during the busy time.
Thus
Amount saves per weeks for next 7 weeks = Amount saves per weeks in first 5 weeks + Increase in amount .
= $25 +$ 20
= $ 45
Breanna saves in next 7 weeks = Amount saves per week× Number of weeks .
Put all the values in the above
= $45 × 7
= $ 315
As given
Breanna saves $25 per week.
If Breanna’s plan is to save $540 .
Let us assume last weeks in which Breanna saves $25 per weeks be x .
Breanna saves in last x weeks = Amount saves for next x weeks × Number of weeks .
= 25 × x
= 25x
Equation becomes
Breanna saves in first 5 weeks + Breanna saves in next 7 weeks + Breanna saves in last x weeks = Total saving amount .
125 + 315 + 25x = 540
440 + 25x = 540
25x = 540 - 440
25x = 100
[tex]x = \frac{100}{25}[/tex]
x = 4 weeks
Thus
Total number of weeks Breanna saves = 5 weeks + 7 weeks + 4 weeks
= 16 weeks
Therefore the number of weeks Breanna saves are 16 weeks .
Option (b) is correct .
Each of a certain type of tire on a 4 wheel car lasts exactly 10,000 miles. How many spare tires of this same variety must carried so that a trip of 15,000 miles can just be completed.
Given a positive integer n, assign true to is_prime if n has no factors other than 1 and itself. (remember, m is a factor of n if m divides n evenly.)
Below is the solution of assign true to is_prime if n has no factors other than 1 and itself.
Further explanationPython is an interpreted, high-level, general-purpose programming language. Python is created by Guido van Rossum and first released in 1991. Its design philosophy emphasizes code readability. Python is a more productive language than Java because it is an interpretive language which is accompanied by elegant syntax and it makes an excellent choice for scripting and rapid application development in many areas. Python is a general-purpose, versatile and popular because it is concise and easy to read, and it is also a good language to have in any programmer’s stack as it can be used for everything such as web development, software development, data science applications.
Given a positive integer n, assign true to is_prime if n has no factors other than 1 and itself. And remember, m is a factor of n if m divides n evenly. So:
if n == 2:
is_prime = True
elif n % 2 == 0:
is_prime = False
else:
is_prime = True
for m in range (3, int(n**0.5)+1, 2):
if n % m == 0:
is_prime = False
Learn moreLearn more about python https://brainly.com/question/4331067Learn more about python IDLE or similar environment https://brainly.com/question/6280029Learn more about python function https://brainly.com/question/9806744Answer details
Grade: 9
Subject: mathematics
Chapter: python
Keywords: python, integer, factors, python IDLE, is_prime
Help Please question in the file.
What are the X intercepts of a parabola with vertex (6,27) and y intercept of (0,-81)?
Question help a robotic rover on mars finds a spherical rock with a diameter of 1313 centimeters. the rover picks up the rock and lifts it 1515 centimeters straight up. the rock has a specific gravity of 5.255.25. the gravitational acceleration on mars is 3.73.7 meters per second squared. if the robot's lifting arm has an efficiency of 3535% and required 1212 seconds to raise the rock 1515 centimeters, how much power (in watts) did the arm use?