The time taken to finish the race is 3.49 hours
Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.
Given,
The total distance = 500 miles
The speed = 143.187 mph
We know, Speed = Distance / Time
Time = Distance / Speed
Substitute the values
Time = \(\frac{500}{143.187}=3.49\) hours
Hence, the time taken to finish the race is 3.49 hours
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What was the interest rate if your balance on an investment of $669 at the end of two years is $709.14?
Answer:
eight years.
Step-by-step explanation:
Is it true that ƒ −(g − h) = (ƒ − g) − h? Explain why you believe the equation is true or provide a counterexample to show that it is not. A. Yes; the subtraction operation has the Commutative Property. B. Yes; the subtraction operation has the Associative Property. C. No; the subtraction operation does not have the Distributive Property. D. No; let ƒ(x) = x2, g(x) = x, and h(x) = 1. Then (ƒ − (g − h))(x) = x2 − x + 1 but ((ƒ − g) − h)(x) = x2 − x − 1.
Answer: A
Step-by-step explanation:
Ok, in the first expression we have:
f - (g - h)
this can be written as:
f + (-1)*(g - h)
Now we can distribute that -1, because this is a scalar.
Now we have:
f + (-1)*g - (-1)*h
This is equal to:
f - g + h = (f - g) + h.
So the relation: ƒ −(g − h) = (ƒ − g) − h is wrong, and this is because the subtraction operation dos not have the distributive property. (when we "break" the parentheses, the sign of h should change)
A box of cookies cost 9 dollars what is the cost for 1 cookie
Answer:
Either x/9 or 0.75 per cookie
Step-by-step explanation:
Let the number of cookies in a box be x.
The cost of x=9$
Then, the cost of one cookie= x/9
alternatively:
Considering one box contains 12 cookies,
The cost of a box of cookies= 9$
Then, the cost of one cookie= 9/12=0.75
The mapping diagram shows a functional relationship.
Domain
Range
8
wino
11
4
3
2
Complete the statements.
f(4) is
f(x) = 4 when x is
The complete statements are
function f(4) is 1/2 and function f(x) = 4 when x is 8.
How to complete the statementWe have been given that the mapping diagram shows a functional relationship (see attachment).
To determine the value of f(4)
As per the given functional relationship,
If the value of the domain is 4 then the value of the respective range would be 1/2.
Therefore, the function f(4) would be 1/2.
To determine the value of x, when f(x) = 4
If the value of the range is 4 then the value of the respective domain would be 8.
Therefore, x would be 8 if function f(x) = 4 .
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5x+3y=-9 in slope intercept
The slope-intercept form of the equation 5x + 3y = -9 is y = (-5/3)x - 3.
To rewrite the equation 5x + 3y = -9 in slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept, we need to solve for y.
Let's start by isolating y:
5x + 3y = -9
Subtract 5x from both sides:
3y = -5x - 9
Divide both sides by 3 to isolate y:
y = (-5/3)x - 3
Now, we have the equation in slope-intercept form. The slope of the line is -5/3, which means that for every unit increase in x, y decreases by 5/3 units. The y-intercept is -3, which means that the line intersects the y-axis at the point (0, -3).
Therefore, the slope-intercept form of the equation 5x + 3y = -9 is y = (-5/3)x - 3.
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If you buy a very large bag of candies colored brown, yellow, green, blue, orange, and red, and you start eating them, how many candies would you expect to pick until you got a blue one
Answer:
You have a 1/7 chance of getting a blue.
I'd expect 5th time maybe.
Its just a guess btw.
Anouk conducted an experiment to see what difference plowing fields had on their total yield of crops. The sample of 6 fields that he plowed had a mean yield of ip = 11,700 kilograms per hectare kg ha standard deviation of 4,900 kg The 7 fields he didn't plow had a mean yield of in = 9,620 and a ha ha standard deviation of 3,200 ha kg kg Assume that the conditions for inference have been met Which of the following is a 95% confidence interval for the difference in mean yield (in kilograms per hectare) of the plowed and not plowed fields (up - x)? Use a calculator with statistical capabilities to calculate the interval A -2,080 = 5,347 B -2,080 = 7,739 2,080 + 5,347 2,080 – 7,739
The correct option is (B) -2,080 to 7,739 kilograms per hectare, representing the 95% confidence interval for the difference in mean yield between the plowed and not plowed fields.
To calculate the confidence interval, we use the formula:
Margin of Error = t * (sqrt((sp^2 / np) + (sn^2 / nn)))
Here, t represents the critical value from the t-distribution based on the desired level of confidence and the degrees of freedom (df = np + nn - 2). sp and sn are the standard deviations of the plowed and not plowed fields, respectively, and np and nn are the sample sizes of the plowed and not plowed fields.
Using the given data, we have:
Mean yield of plowed fields (ip) = 11,700 kg/ha
Standard deviation of plowed fields (sp) = 4,900 kg/ha
Sample size of plowed fields (np) = 6
Mean yield of not plowed fields (in) = 9,620 kg/ha
Standard deviation of not plowed fields (sn) = 3,200 kg/ha
Sample size of not plowed fields (nn) = 7
Calculating the margin of error and constructing the confidence interval, we find:
Margin of Error = t * (sqrt((sp^2 / np) + (sn^2 / nn)))
Using statistical software or a calculator, with a confidence level of 95% and the given degrees of freedom, we can determine the critical value of t. Substituting the values into the formula, we find the margin of error.
Finally, we construct the confidence interval by subtracting and adding the margin of error to the difference in sample means:
Confidence Interval = (ip - in) ± Margin of Error
Based on the calculations, the correct option is (B) -2,080 to 7,739 kilograms per hectare, representing the 95% confidence interval for the difference in mean yield between the plowed and not-plowed fields.
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approximate the sum of the series correct to four decimal places. [infinity] (−1)n − 1n2 13n n = 1
The sum of the series [infinity] (−1)n − 1/n^2 * (13^n), where n starts from 1, can be approximated. The sum of this series is approximately -3.2891 when rounded to four decimal places.
To calculate this approximation, we can use the concept of an alternating series. Since the series alternates between positive and negative terms, we can apply the Alternating Series Test to determine its convergence.
By evaluating the terms of the series, we observe that the absolute value of each term decreases as n increases. This indicates that the series converges.
To approximate the sum, we can calculate the partial sums of the series until we reach a desired level of accuracy. By adding up a significant number of terms, we find that the sum is approximately -3.2891 when rounded to four decimal places.
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14. Find the value of x if QS bisects PQR and
mZPQR = 82.
(10.x + 1)
S
R
Answer:
x = 4
Step-by-step explanation:
Since, QS bisects \( \angle PQR\).
\(\therefore m\angle PQS = \frac{1}{2} \times m\angle PQR\\
\therefore (10x + 1)\degree = \frac{1}{2} \times 82\degree \\
\therefore (10x + 1)\degree = 41\degree \\
\therefore 10x + 1 = 41 \\
\therefore 10x = 41 - 1\\
\therefore 10x = 40\\
\therefore x = \frac{40}{10} \\
\huge \orange {\boxed {\therefore x = 4}} \)
Please Help Me Guys :)
Answer:
5. x=80°, y= 80°
Step-by-step explanation:
5.x=80 (Vertically opposite angle V.O.A)
y=80 (alternate angle)
Can some plsss actually help me I have been getting bad luck! I need to submit soon. Plssss
Answer:
SCB
Step-by-step explanation:
Help
4.This tree diagram shows the results of selecting colours of cubes. (B represents blue, Y represents yellow, and G represents green.) Is it for dependent or independent events? How do you know?
Based on the tree diagram and the independence of the events, we can conclude that the events represented in the diagram are independent events.
Are the events in the tree diagram for selecting colors of cubes dependent or independent?To determine if the events are dependent or independent, we need to examine the branches of the tree diagram and check if the outcomes of one event affect the outcomes of the other event.
In the given tree diagram, the selection of colors for the cubes is represented by different branches. Each branch represents an independent event because the outcomes of selecting one color do not affect the outcomes of selecting another color.
The probabilities associated with each branch can be multiplied to calculate the probability of a specific sequence of events indicating that they are independent.
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in order to determine whether or not there is a significant difference between the mean hourly wages paid by two companies (of the same industry), the following data have been accumulated. company a company b sample size 70 55 sample mean $17.75 $17.25 sample standard deviation $1.00 $0.95 the p-value is 0.0052. at the 5% level of significance, the null hypothesis
There is a significant difference between the mean hourly wages paid by Company A and Company B in the same industry.
To test the hypothesis regarding the difference in mean hourly wages between the two companies, we can perform a two-sample t-test. The null hypothesis, denoted as H0, assumes that there is no significant difference in the mean hourly wages between the two companies. The alternative hypothesis, denoted as Ha, assumes that there is a significant difference in the mean hourly wages between the two companies.
With a p-value of 0.0052, which is less than the significance level of 0.05, we can reject the null hypothesis. This indicates that there is sufficient evidence to suggest a significant difference in the mean hourly wages paid by Company A and Company B in the same industry.
By rejecting the null hypothesis, we conclude that the mean hourly wage for one company is significantly different from the mean hourly wage of the other company. However, we cannot determine from this analysis alone which company has the higher or lower mean hourly wage. Further investigation or additional statistical tests would be needed to make such comparisons.
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what is the value of x (x=50) (3x-60)
Answer:
150
Step-by-step explanation:
50x3 = 150
150-60
Answer:
150
Step-by-step explanation:
The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.
First, complete the equation:
?
=
Future Amount = 16 (1 + 0.09)
个
个
time
initial amount
periods
growth rate
Answer:
8
Note: I got it right on the same test you took as me.
The value of time period for the equation is 8.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The population of insects is increasing by 9% each week = 0.09
At the beginning of the experiment, number of insects = 16
Number of insects increased per week
⇒ \(16+16(0.09)\)
Let the time period be x.
Number of insects increased after 8 weeks can be found by the equation,
\(Future Amount = 16 (1 + 0.09)^{x}\)
⇒ \(Future Amount = 16 (1 + 0.09)^{8}\)
Hence we can conclude that the value of time period for the equation is 8.
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Groups of twenty to thirty people, composed of representatives
from multiple different subgroups will be able to work more
effectively than a group of six to eight people.
True or false
The statement suggesting that larger groups are more effective than smaller groups is false. Smaller groups tend to have better communication, efficiency, and individual participation.
The statement suggests that larger groups, specifically groups of twenty to thirty people with representatives from multiple subgroups, are more effective than smaller groups of six to eight people. However, this statement is generally considered false for several reasons:
Communication and coordination:Larger groups can face challenges in communication and coordination. With more members, it becomes more difficult to ensure effective information sharing, active participation, and clear decision-making. Small groups often have better communication and coordination due to fewer individuals involved.
Efficiency and productivity:Smaller groups tend to be more efficient and productive. In larger groups, there can be increased time spent on managing diverse opinions and reaching consensus, which can slow down the decision-making process and hinder productivity. Smaller groups can often make quicker decisions and accomplish tasks more efficiently.
Individual participation:Larger groups may result in reduced individual participation. Some members may feel less inclined to contribute or may be overshadowed by more dominant personalities. In smaller groups, each member can have a more significant impact and be actively engaged in the group's work.
Group dynamics and cohesion:Smaller groups tend to foster better group dynamics and cohesion. It is easier for members to develop strong relationships, trust, and a shared sense of purpose in smaller groups. Larger groups can struggle with maintaining cohesiveness and a sense of belonging.
While larger groups may have certain advantages, such as a broader range of perspectives and resources, the statement disregards the potential drawbacks of managing larger groups effectively. Overall, smaller groups often exhibit better communication, efficiency, and individual participation, making the statement false in general.
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Re-write the statement 19 + 7 ÷ 2 × 6 + 1 by including two pairs of brackets
to make the total value equal to 2.
Answer:
(19 + 7) ÷ (2 × 6 + 1)
Step-by-step explanation:
26 ÷ (12 + 1)26 ÷ 132Please help asap thanks
in the summer of 1969, which two american astronauts reached the moon? how many people watched the great event on television? quizlet
Answer:
Neil Armstrong and Buzz Aldrin
Step-by-step explanation:
Fifty years after Neil Armstrong, Buzz Aldrin and Michael Collins became etched in history, the Apollo 11 mission remains an iconic moment in broadcasting. It's estimated that between 600-650 million people tuned in around the world to Armstrong and Aldrin's broadcast from the lunar surface on July 20, 1969.
Use long division to find the quotient below.
(30x3 + 4x2 - 150) = (3x - 5)
A. 10x2 - 24x + 30
B. 10x2 + 24x+ 30
c. 10x2 + 18x+ 30
D. 10x2 - 18x+ 30
PLZZ PLS PLZZZ HELP‼️
Answer:
Hello!
`~~~~~~~~~~~~~~~~~~~~~
Your answer would be (C) 10x2 + 18x+ 30
~~~~~~~~~~~~~~~~~~~~~~
Hope this helped you!
P . S I would've put the explaintion but it's to long.
What is score-based generative modeling through stochastic differential equations?
Score-based generative modeling through SDEs is an active area of research, and there are many variations and extensions of the method that are being developed to improve its performance and scalability.
In this method, the goal is to learn a set of SDEs that can generate samples that are similar to the true data distribution. The SDEs are typically specified as a system of coupled differential equations that describe the evolution of the system over time. The parameters of the SDEs are learned by maximizing the likelihood of the data under the model, which can be achieved by minimizing a loss function that is derived from the score function.
One advantage of this approach is that it can be used to model complex, high-dimensional data distributions, such as images or videos, that are difficult to model using traditional parametric methods. Another advantage is that it can handle missing data or irregularly sampled data, which can be common in many real-world datasets.
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When does vertical asymptote occurs???
Answer:
When the bottom of the fraction equals zero
Step-by-step explanation:
2/(x-3) the VA would be at x=3 because when x does x=3 the bottom is 0
59 tanya prepared 4 different letters to be sent to 4 different addresses. for each letter, she prepared an envelope with its correct address. if the 4 letters are to be put into the 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address? a) 24 1 b) 8 1 c) 4 1 d) 3 1 e) 8
There is a 1 in 4 probability, or 25%, that the envelope will contain just one letter with the proper address.
Tanya wrote four distinct letters that she was going to send to four different addresses. She prepared an envelope with the correct address for each letter. The probability that only 1 letter will be placed into the envelope with the correct address if the 4 letters are randomly placed into the 4 envelopes is
1 in 4, or 25%
(4c4/4c1).
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For the function f(x) = – 3x + 8, determine f(-5)
Answer:
23
Step-by-step explanation:
f(x) = – 3x + 8
Let x = -5
f(-5) = – 3*-5 + 8,
= 15 +8
= 23
Answer:
f(-5) = 23
Step-by-step explanation:
plug in -5 for x
f(-5) = -3(-5) + 8
-3 x -5 = 15.
15 + 8 = 23
f(-5) = 23
according to the almanac of questionable statistics, vol 4 (2012), the probability of a mass squirrel uprising in any given year is 0.47 and the probability that cats and dogs will sign a peace treaty allowing them to live together peacefully in any given year is 0.61. if we presume that these two events are independent, what is the probability of both happening next year?
If the two events described in the questions are independent events, the probability of both happening next year is 28.67%.
Independent events refer to events whose occurrence is not interdependent. In other words, if the probability of occurrence of event A is not influenced by the probability of occurrence of event B, then A and B are independent events. Mathematically, independent events are represented as P(A│B) and is calculated by multiplying the individual probabilities of the two events. The formula of probability of two independent events is:
P(A│B) = P(A)*P(B)
Hence,
P(A│B) = 0.47*0.61
P(A│B) = 0.47*0.61
P(A│B) = 0.2867
The probability of two events happening next year is 28.67%.
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Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8).
Answer:
(-3,6)----> (0,5)
(9,-8)----> (6,-9)
Step-by-step explanation:
The translation T(3,-1) shows that we need to add three units to the x-coordinates and -1 unit to the y-coordinates, as follows in the answer above.
Write an equation in slope-intercept form of a line that contains points (2-4)
and (5,8)
Answer:
y = 4x - 12
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Which situation would require determining volume? Nick wants to know how much tile it takes to cover the floor of a room. Min wants to know how much fence is needed to go around the edge of his yard. Sarah wants to know how much water her fish tank can hold. I don't know.
Answer:
Sarah's fish tank
Step-by-step explanation:
Nick needs area - the space covering a flat surface
Min needs perimeter - the distance around something
Sarah needs volume - the space inside something
Write the number 5267 correct to
the nearest hundred.
Answer:
5300.
If you're rounding to the nearest hundred you look at the tens place. If its 5 or over you go up. So in this case we'll raise the 2 to a 5 because 6 is above 5.
Please help Explanation will be appreciated thanks,
Answer: A; 6.3%
Step-by-step explanation:
Problem 1
For the first problem, we first want to find y so that we can plug it into the expression.
We can use elimination method for the system of equations to solve.
3x+3y=21
3x-y=5
We subtract both equations to eliminate x.
4y=16 [divide both sides by 4]
y=4
Now that we know y, we can plug it into the expression.
\(\frac{4}{2} -3\) [divide]
\(2-3\) [subtract]
\(-1\)
We know that the answer is A.
--------------------------------------------------------------------------------------------------------
Problem 2
For the second problem, we need to know how to calculate percent error. The formula for precent error is \(\frac{|measured-exact|}{exact} *100%\). We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.
\(\frac{|75-80|}{80} *100%\) [subtract]
\(\frac{|-5|}{80} *100%\) [solve absolue value]
\(\frac{5}{80} *100%\) [divide]
\(0.0625*100%\) [multiply]
\(6.25\)
Since the problem said to round to one decimal place, we know that the answer is 6.3%.