John ran 3 miles in 25.5 min the equation y = 8.5x can be used to represent this situation
Answers
Answer: All the answers to this page 47
Step-by-step explanation:
Here’s all the answers to this page 47
It’s on a PDF the link should be attached
In the equation, y = 8.5x the variable y represents time and x represents the distance in miles.
What is a linear equation?The linear equation is defined as the equation having a degree of one or the power of the variable will be one. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that John ran 3 miles in 25.5 min the equation y = 8.5x. The equation is satisfying the answers. The solution will be calculated as follows:-
y = 8.5x
Here, the y variable is the total time and x is the distance in miles.
y = 8.5x
For 3 miles the time will be calculated as follows:-
y = 8.5 x 3
y = 25.5 minutes
Therefore, in the equation, y = 8.5x the variable y represents time and x represents the distance in miles.
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Related Questions
Work out length of BC
Answers
Answer:
assume \(13 = z \\ 8 =x \\ bc = y\)
by phytagorean theorem
\({y}^{2} + {x}^{2} = z^{2} \)
so
\(bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} \)
\( \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\)
\( \large\underline{ \boxed{ \sf{✰\:Note }}}\)
★ 1st let's know what is the given figure is and it's related concepts for solving !
➣ Given Triangle is a right angled triangle ➣ It is having 3sides let's know what are the name of these sides ➣ 1st AB is know as hypotenuse➣ 2nd AC and is called Base of the triangle➣ 3rd BC whích is know as perpendicular of the triangle➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.\( \rule{70mm}{2.9pt}\)
★ Writing this theorem mathematically ★
\( { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}\)
★ Here ★
➣ Base (AC)= 8cm➣ Hypotenuse (BA)= 13cm\( \rule{70mm}{2.9pt}\)
✝ Assumption ✝➣ let perpendicular/length ( BC ) = "x"\( \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}\)
\( \rule{70mm}{2.9pt}\)
✝ let's substitute values ✝\(\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ \)
\( \rule{70mm}{2.9pt}\)
Hence length (BC) in the given triangle is of
\( { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}\)
\( \rule{70mm}{2.9pt}\)
Hope it helps !
If the following seven scores are ranked from smallest (#1) to largest, then what rank should be assigned to a score of X = 1?
Scores: 1, 1, 1, 1, 3, 6, 6, 6, 9
4
2.5
2
1
Answers
The rank assigned to a score of X = 1 is 5.
To determine the rank that should be assigned to a score of X = 1, we need to consider the rankings of the scores in the given list.
The given list is:
1, 1, 1, 1, 3, 6, 6, 6, 9
When scores are ranked, ties are assigned the same rank, and the next rank is skipped. In this case, we have four scores of 1, so they will all be assigned the same rank.
The ranks assigned to the scores are:
1, 1, 1, 1, 5, 6, 6, 6, 9
Since there are four scores of 1 before the score of X = 1, the rank assigned to a score of X = 1 would be the next rank that would have been assigned, which is 5.
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T/F. if the sample sizes are small, but the populations are normally distributed and the population variances are known, the z-statistic can be used as the basis for statistical inferences about the difference in two population means using two independent random samples.
Answers
The statement is true that is the z-statistic can be used as the basis for statistical inferences about the difference in two population.
Given that,
The z-statistic can be used as the basis for statistical inferences about the difference in two population means using two independent random samples if the sample sizes are small, the populations are normally distributed, and the population variances are known.
We have to find if the statement is true or false.
We know that,
We use a t-test for the difference of mean after assuming the population variance sigma is equal to the sample variance s.
we only can use z-test when n is not small unless the population variance is known.
Therefore, The statement is true that is the z-statistic can be used as the basis for statistical inferences about the difference in two population.
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∆ABC was transformed according to the rule (x, y) → (−x, y) to create ∆A'B'C'. What transformation justifies the relationship between the triangles?
Answers
A 90° rotation around the origin characterised the transition.
What is the transformational rule?A logical principle that specifies the circumstances in which one assertion can be legitimately inferred from one or more other statements, particularly in codified languages.
What transformation does the rule x y → − x − y?(x, y)(x, y) is the formula for a reflection over the x-axis.
Triangle ABC was changed utilizing the (x, y) rule (–y, x). The triangles' vertices are displayed. A (–1, 1) B (1, 1) C (1, 4) (1, 4) A' (–1, –1) (–1, –1) B' (–1, 1) C' (–4, 1) (–4, 1) Which phrase best sums up the change? A 90° rotation around the origin characterised the transition. A 180° rotation of the origin occurred during the transformation. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.
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Answer: A reflection over the y-axis justifies ∆ABC ≅ ∆A'B'C'.
Step-by-step explanation: Took the test, no thanks neeeded :)
consider the figure above. which of the following correctly identifies each curve?
Answers
The figure illustrates four different growth patterns: exponential growth (Curve A), logarithmic decay (Curve B), linear growth (Curve C), and sigmoidal growth (Curve D).
Curve A represents an exponential growth pattern. It starts with a relatively slow increase but gradually accelerates over time. This type of growth is commonly observed in natural phenomena like population growth or the spread of infectious diseases.
Curve B depicts a logarithmic decay pattern. It begins with a steep decline but levels off over time. Logarithmic decay is often seen when a process initially experiences rapid changes but eventually approaches a stable state or limiting factor.
Curve C displays a linear growth trend. It shows a constant and consistent increase over time. Linear growth is characterized by a steady rate of change and is commonly observed in situations where there is a constant input or output.
Curve D represents a sigmoidal growth pattern. It starts with a slow initial growth, then experiences rapid expansion, and finally levels off. Sigmoidal growth is prevalent in various fields, such as biology, economics, and technology, where a system initially has limited resources, undergoes rapid development, and eventually reaches a saturation point.
The figure illustrates four different growth patterns: exponential growth (Curve A), logarithmic decay (Curve B), linear growth (Curve C), and sigmoidal growth (Curve D).
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the sample covariance between and is the covariance measures the amount that and vary away from the mean simultaneously . the covariance is maximized when and are perfectly correlated. what is this maximal value? (hint: consider what happens when , or use the cauchy-schwarz inequality)
Answers
The maximal value of the sample covariance is \(sx*sy\), which represents the highest correlation possible between X and Y.
The formula for the sample covariance between X and Y is given by \(cov(X,Y) = (1/(n-1)) Σ (xi - xmean)(yi - ymean)\). The maximal value for the sample covariance is equal to the product of the standard deviations of X and Y, which can be calculated using the formula \(sx*sy = (1/(n-1)) Σ (xi - xmean)^2 * (1/(n-1)) Σ (yi - ymean)^2\). Using the Cauchy-Schwarz Inequality, we can know that \(cov(X,Y) < = sx*sy\). Therefore, the maximal value of the sample covariance is sx*sy, which represents the highest correlation possible between X and Y.
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Tap on the photo pls help
Answers
Answer:
49
Step-by-step explanation:
5^2 - 4(-3)(2)
5^2 - 4(-6)
25 - 4(-6)
25 - (-24)
49
Hope this helps!
49
25+24
you square 5 which is 25 than multiply -3 and 2 which is -6 than multiply by four
What should be done to x^2-10x in order to create a perfect square?
A)subtract 25
B)subtract 5
C)add 5
D)add 25
Answers
Answer: B)subtract 5
(x-5)^2-25
Step-by-step explanation:
2a=-10
Divide both sides by 2
2a/2=-10/2
Simplify
a=-5
Add and subtract
x^2-10x+(-5)^2-(-5)^2
Complete the square
(x-5)^2-(-5)^2
Simplify;
(x-5)^2-25
Answered by one other than the ONE & Only #QUEEN herself aka #DRIPPQUEENMO!!
HOPE THIS HELPED!!
Partial Question 4 Determine the limit of the sequence (1) {2} [Select] n+3 (2) { (+³)"} [Select] (3) {n sin()} [Select] (4) {sin(nπ)} [Select] Answer 1: the limit DNE, the sequence diverges Answer
Answers
The limit of the sequence (1) {2}, (2) {(-1)^n}, and (3) {n sin(n)}, converges to DNE (does not exist) or the sequence diverges. The limit of the sequence (4) {sin(nπ)} is undefined, as it oscillates between -1 and 1.
In the case of sequence (1) {2}, the limit is a constant value, and the sequence converges to that value. However, in the case of sequence (2) {(-1)^n}, the sequence oscillates between -1 and 1, and there is no single value that it approaches as n tends to infinity. Therefore, the limit does not exist, and the sequence diverges.
Sequence (3) {n sin(n)} also does not have a limit as n tends to infinity. The term n sin(n) oscillates between positive and negative values without approaching a specific value. Hence, the limit of this sequence is DNE, and it diverges.
In the case of sequence (4) {sin(nπ)}, the term sin(nπ) oscillates between -1 and 1 as n varies. Since there is no convergence to a specific value, the limit of this sequence is undefined.
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Need help as fast as possible please
I will mark BRAINLIST only for correct answers babes :)
Thank you!
Answers
Answer:
What is ur book called
I will edit my answer after this
Answer:
1. you move a shape to somewhere else by a number of units
2. the position of the book changes
3. no you are just moving the shape
Which of the following is a correct explanation for preferring the mean over the median as a measure of center?
Group of answer choices
1 The mean is more efficient than the median.
2 The mean is more sensitive to outliers than the median.
3 The mean is the same as the median for symmetric data.
4 The median is more efficient than the mean.
Answers
The correct explanation for preferring the mean over the median as a measure of center is option 3: The mean is the same as the median for symmetric data.
The mean over the median as a measure of center is that the mean takes into account all values in a data set, making it more representative of the data as a whole. On the other hand, the median only considers the middle value(s), and is less sensitive to outliers. This means that extreme values in a data set have less impact on the median than they do on the mean. However, if the data set is skewed or has outliers that significantly affect the mean, the median may be a better measure of central tendency. In summary, the choice between the mean and the median depends on the characteristics of the data set being analyzed and the research question being asked.
In symmetric data, the mean and median provide the same central value, giving an accurate representation of the data's center. However, it's important to note that the mean is more sensitive to outliers than the median, which might affect its accuracy in skewed data sets.
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suppose we collect a random sample of 2000 people residing in the u.s. based on the probability distribution, which result would be surprising? responses
Answers
The number of subscribers with land-line phones for any year after 2000, taking into account the 27% annual decline rate.
According to the given information, land-line phones are decreasing at a rate of 27% each year since 2000. This means that each year, the number of subscribers with land-line phones is reduced to 73% (100% - 27%) of the previous year's value.
To create a formula that models this scenario, we start with the initial number of subscribers in the year 2000, which is given as 10,000. We can express this as y(0) = 10,000, where y(0) represents the number of subscribers in the starting year (t = 0).
Based on the decline rate of 27% per year, we can express the relationship between the number of subscribers in a given year (y) and the number of subscribers in the previous year (y-1) as follows:
y = 0.73 * y(t-1)
Here, 0.73 represents the probability of retaining a land-line phone subscription from one year to the next, given the 27% annual decline rate. Multiplying this probability by the number of subscribers in the previous year gives us the estimated number of subscribers in the current year.
By iterating this formula year after year, we can estimate the number of subscribers with land-line phones for any given year after 2000.
For example, let's calculate the number of subscribers in the year 2023, which is 23 years after 2000 (t = 23). Using the formula, we can substitute t = 23 into the equation:
y(23) = 0.73 * y(22)
To find y(22), we substitute t = 22 into the equation:
y(22) = 0.73 * y(21)
We continue this process until we reach the starting year, y(0) = 10,000.
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Complete Question:
With the growing popularity of cell phones, a local phone company had a sharp decline in the number of customers with land-line phones in their homes. Suppose land-line phones are decreasing at a rate of 27% each year since 2000. Assume that there were 10,000 subscribers with land-line phones in the year 2000.
For convenience let t = the number of years after 2000 and y = number of subscribers with land-line phones.
A formula that models this scenario is
What would be the Area in square inches of a rectangle with a length of radial 279 in and a width of radial 31 in
(You do not have put the units in your answer)
Answers
The area of rectangle in square inches is 8649 inches .
What is mensuration ?The subject of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.
Mensuration is the name given to the area, volume, and length of various geometric shapes in mathematics. These shapes can be found in either two or three dimensions.
Mensuration is the process of calculating various shape parameters, such as the perimeter, area, and volume, whereas geometry is the study of the characteristics and relationships between the points and lines that make up different shapes.
Calculationthe area of rectangle will be = length * width
therefore just substituting the values given in the question
thus ,
area will be = 279 * 31
= 8649 square inches
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Find the value of x.
Answers
Answer:20
Step-by-step explanation:
because you already have you 105 angle and since the outside angle on the right side is 125 you take 180(since its a straight line)-125 and you get 55 so now you add 105 + 55 and get 160 and since a triangle is 180 you take 180-160 and get 20
It takes 21 minutes for a certain population of
bacteria to double. If there are 8,014,627 bacteria in
this population at 10 a.m., what is the best estimate,
in millions, of the number of bacteria at 10:42 a.m.
on the same day?
Answers
Answer:
32,058,508 bacteria at 10:42am
Step-by-step explanation:
10am: 8,014,627
10:21: 8,014,627 × 2 (doubled) = 16,029,254
10:42: 16,029,254 × 2 (doubled) = 32,058,508
i give brenliest
The Pythagorean Theorem for a right triangle is a2 + b2 = c2, where
a and b are the legs of the triangle and c is its hypotenuse. The shorter
leg is 10 inches less than the other leg, and the hypotenuse is 10 inches
longer than that other leg. What is the length of the hypotenuse?
b) 40 inches
a) 30 inches
c) 50 inches
d) 60 inches
Answers
Answer:
C) 50
Step-by-step explanation:
One leg is 30, the other is 40, and the hypotenuse is 50
Please brainliest!
Ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. How many cones were sold.
Answers
Answer:88
Step-by-step explanation:
1.10c+2.35s=294.20
C+S=172
1.10c+2.35s=294.20 if you multiply by 100.
110c+235s=29420
-110 (cones + sundaes =172)
-110c-110s=-18920
125s/125=10500/125
S= 84
C+84=172
-84. -84
C= 88
The age and hourly pay of five employees in a store are shown in the table
age Hourly pay
16 10
18 10.25
18 12.50
20 14
22 15
A line of best fit for the data is y = 0.9x – 4.5, where x represents age, in year
Answers
Answer:
18$
Step-by-step explanation:
0.9*25-4.5= 18
Answer:
18
Step-by-step explanation:
I did the maps test
Maureen is building a playpen for her new puppy. She wants the puppy to have 28 square feet of space. Draw a picture of what the playpen might look like and label the lengths of the sides. What is the perimeter of playpen?
Answers
The perimeter of the playpen is 21 feet.
We have,
-------------------
| |
|
width |
| |
| |
-------------------
length =
Let's label the width as w and one of the lengths as l.
Then we can use the formula for the area of a rectangle to find the other length:
Area = length x width
28 = l x w
l = 28 / w
Now we can substitute this expression for l into the formula for the perimeter of a rectangle:
Perimeter = 2 x length + 2 x width
Perimeter = 2(28/w) + 2w
Perimeter = 56/w + 2w
To find the value of w that gives the minimum perimeter, we can take the derivative of this expression with respect to w, set it equal to 0, and solve for w:
dP/dw = -56/w^2 + 2 = 0
56/w^2 = 2
w^2 = 28
w = √(28) = 2 √(7)
Now we can substitute this value for w to find the corresponding length:
l = 28 / w
l = 28 / (2 √(7))
l = 14 / √(7)
So the playpen has dimensions of approximately 2 √(7) by 14/ √(7), and the perimeter is:
Perimeter = 56/w + 2w
Perimeter = 56/(2 √(7)) + 2(2 √(7))
Perimeter = 28/ √(7) + 4 √(7)
Perimeter = (28 + 28)/ √(7)
Perimeter = 56/ √(7)
Perimeter ≈ 21.21 feet
Thus,
The perimeter of the playpen is 21 feet.
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Which graph represents y=1/2x+2
please help!!
Answers
Answer:
B
Step-by-step explanation:
Let’s first look at the y-intercept. Since the equation is in y = mx + b form, we know that m is the slope and b is the y-intercept, so the slope is 1/2 and the y-intercept is 2, or (0,2). We can narrow down our search by noticing that C and D don’t intersect (0,2). That leaves A and B.
The slope is calculated by (y_1 - y_2)/(x_1 - x_2) given points (x_1, y_1) and (x_2, y_2). The slope for A is (4-0)/(2-(-2)) = 4/4 = 1 and the slope for B is (2-0)/(0-(-4)) = 2/4 = 1/2. The slope of B matches the slope that we are looking for. So, the answer is B.
Solve the triangle with the law of sines
Answers
Answer:
see below
Step-by-step explanation:
We can use the law of sines
sin 80 sin B
--------------- = -------------
31 14
Using cross products
14 sin 80 = 31 sin B
14/31 sin 80 = sin B
.984807753 = sin B
Taking the inverse sin of each side
sin ^ -1 ( .444751888) = B
26.41 = B
The sum of the angles of a triangle is 180
A+B+C = 180
80 + 26.41 + C =180
106.41 + C = 180
C = 73.59
We can use the law of sines to find c
sin 80 sin 73.59
--------------- = -------------
31 c
c sin 80 = 31 sin 73.59
c = 31 sin 73.59 / sin 80
c = 30.20
AB = 30.20
In order to determine if there is a difference between the mean GPA of male and female scholarship athletes, a university administrator obtains a sample of the academic records of past and present scholarship athletes at the university. The administrator reports that the mean GPA (grade point average) of a random sample of 40 male scholarship athletes is 3.02 and the mean GPA of a random sample of 36 female scholarship athletes is 3.11. If there is no difference in the mean GPA of male and female athletes, the probability of obtaining this difference (3.11 – 3.02 = 0.09) or more extreme is approximately 0.287.1. In order to assess the evidence provided by the sample data, what is the appropriate question to ask?a. How likely is it to observe no difference in the mean GPA of male and female scholarship athletes?b. How likely is it to observe a mean GPA difference of 0.09 between male and female scholarship athletes?c. How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?d. How likely is it to observe a difference less than 0.09 in the mean GPA of male and female scholarship athletes?2. A university professor does not believe that there is really a difference between the GPA of male and female scholarship athletes, so he looks into how the sample was collected. His investigation shows that the study was given to all of the athletes on the basketball teams exclusively. Based on this information, should the university administration trust the results from this study?a. Yes, because the results were significantb. Yes, because a large enough sample was takenc. No, because not every scholarship athlete part of the studyd. No, because the study was not taken from a random sample of scholarship athletes
Answers
The university administration should not trust the results from this study as it did not take a random sample.
The appropriate question to ask in order to assess the evidence provided by the sample data is, "How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?"
This is because the sample data shows a difference of 0.09, so we want to find out how likely it is to observe a difference of this size or greater, given that there is no actual difference between the GPA of male and female scholarship athletes.
Based on the investigation that the professor conducted which revealed that the study was given to all of the athletes on the basketball teams exclusively, the university administration should not trust the results from this study.
This is because the study was not taken from a random sample of scholarship athletes, meaning that the sample did not accurately reflect the population. If the sample does not accurately reflect the population, then the results may be biased and should not be trusted.
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public static long fibmemo(int n) this method will calculate the nth fibonacci number using the top down strategy. note this method must be recursive and you will need to create a recursive helper method.
Answers
The method "fibmemo" is a recursive method that calculates the nth Fibonacci number using the top-down strategy. To implement this method, you will need to create a recursive helper method that stores previously calculated fibonacci numbers using an array called "memo".
Here's how the helper method can be implemented:
private static long fibHelper(int n, long[] memo) {
if (n == 0 || n == 1) {
return n;
} else if (memo[n] != 0) {
return memo[n];
} else {
memo[n] = fibHelper(n-1, memo) + fibHelper(n-2, memo);
return memo[n];
}
}
In this method, we first check if n is equal to 0 or 1, in which case we return n itself. If the nth Fibonacci number has already been calculated and stored in the memo array, we return that value directly. Otherwise, we calculate the nth fibonacci number by recursively calling the helper method for (n-1) and (n-2), and add the results. We then store the calculated value in the memo array for future use.
Now we can use this helper method to implement the "fibmemo" method:
public static long fibmemo(int n) {
long[] memo = new long[n+1];
return fibHelper(n, memo);
}
In this method, we create an array called "memo" that can store previously calculated fibonacci numbers up to the nth fibonacci number. We then call the helper method with the input n and the memo array, which will recursively calculate the nth fibonacci number using the top-down strategy and return the result.
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please graph y≤ 2x-3
Answers
can someone help me?
Answers
Answer: 2
Step-by-step explanation:
hi
A ticket for the spring musical is $4.50.
Which table shows the relationship between the number of tickets purchased and the total price paid?
OA
B.
Tickets Total
Purchased Price
1
$4.50
2
$9.00
3
$13.50
$18.00
Tickets Total
Purchased Price
4
1
2
3
4
$4.50
$9.00
$18.00
$36.00
C.
D.
Tickets Total
Purchased
Price
$4.50
$9.00
$14.50
$19.00
1
2
3
4
Tickets
Purchased
1
2
3
4
Total
Price
$4.50
$8.00
$12.50
$16.00
Answers
Answer:
Step-by-step explanation:
1 ticket costs 1 × $4.50 = $4.50
2 tickets cost 2 × $4.50 = $9.00
3 tickets cost 3 × $4.50 = $13.50
4 tickets cost 4 × $4.50 = $18.00
The first table is the only one that matches these values.
PLEASE HELP ALGEBRA 2!
Answers
Answer:
7 number ans is b because 2 times the sum of a and b means 2×(a+b)
Answer:
5.) Associative Property of Addition
6.)Commutative property of multiplication
7.) 2 ( a + b)
Step-by-step explanation:
Can you please help me
Answers
Answer:
Fourth choice, 19/30
Step-by-step explanation:
Add 38 and 22 together, it's 60
Out of 60 times, he flipped heads 38 times, so it's 38/60
Simplify 38/60 with 2, 19/30
a company has given you the task to research the salary of thirty-five-year-olds in new york city. would you be more interested in looking at the mean, median, or mode?
Answers
The correct answer is median.
The salary of 35 year olds would vary greatly, with significant variations. Undoubtedly, this type of data contains outliers. Because median is unaffected by outliers in the data set, it would be appropriate for the data that included outliers.
The observations are divided into two equal portions by the median. When observations are organised in order of magnitude, it reflects the middle value for the group of observations.
When data are input in ascending order, the median value is the middle value. In other words, the observation is in the middle.
If there are an even number of observations overall, the median is calculated as the average of the middle two observations.
The median is the middle observation in the arranged data if the total number of observations is an odd number.
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It's C. Right? I don't know!
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Answer:
yes, C is the correct answer