If Lin walks at a speed of 2. 5 miles per hour. Andre walks at a speed of 3 miles per hour. It will take 4 hours until Lin and Andre meet on the path.
Lin and Andre are walking toward each other on a 22-mile trail, so they will meet when the sum of the distances they have walked is equal to 22 miles. Let's call the time they walk until they meet "t".
During this time, Lin will have walked a distance of 2.5t miles, and Andre will have walked a distance of 3t miles. The sum of these distances is equal to 22 miles, so we can set up the equation:
2.5t + 3t = 22
Combining like terms, we get:
5.5t = 22
Dividing both sides by 5.5, we get:
t = 4
So it will take Lin and Andre 4 hours to meet on the path.
Note that we could have also solved this problem by using the formula:
time = distance / speed
For Lin, the time to cover the 22-mile distance would be:
time = distance / speed = 22 / 2.5 = 8.8 hours
For Andre, the time to cover the 22-mile distance would be:
time = distance / speed = 22 / 3 = 7.33 hours
Since they are walking towards each other, we can add their times to get the time it takes for them to meet:
time = 8.8 + 7.33 = 16.13 hours
However, we can see that this answer is not correct, as it is greater than the time it would take for either of them to cover the entire distance. This is because the time it takes for them to meet is less than the sum of their individual travel times, due to them moving towards each other.
So we go back to our original equation and solve for "t" to get the correct answer of 4 hours.
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A circular arc has measure 8 ft and is intercepted by a central angle of 2.9 radians. Find the radius r of the circle.
Do not round any intermediate computations, and round your answer to the nearest tenth.
The radius of the circle is 2.8feet (nearest tenth)
What is length of an arc?Arc length is the distance between two points along a section of a curve.
The length of an arc is expressed as ;
L = (tetha) / 360 × 2πr
L is the length of the arc
tetha is the angle made by the two radii and the arc.
In radian 360° = 2π
therefore ;
8 = 2.9/ 2π × 2πr
8 = 2.9 r
r = 8/2.9
r = 2.76 ft
therefore the radius of the circle is 2.8 feet( nearest tenth) .
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3x^2-9x+2 in standard form
The standard form of 3x² - 9x + 2 is 3x² - 9x + 2.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
A quadratic function,
3x² - 9x + 2.
The standard form of the quadratic function is
ax² + bx + c.
The standard form of 3x² - 9x + 2 is 3x² - 9x + 2.
Therefore, 3x² - 9x + 2.
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Using the omission strategy, what value would be placed in the missing observation in x1?
x1x2
76
22
82
91
32
41
88
Options:
84
No value because excluded
83
90
The values in the missing observation are:
X1 X2
76 22
82 25
91 32
101 41
88 28
What is an expression?An expression contains terms with addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x1 x2
76 22
82 __
91 32
__ 41
88 28
The difference between each row are:
76 - 22 = 54
82 - 25 = 57
91 - 32 = 59
101 - 41 = 60
88 - 28 = 60
We see that,
57 - 54 = 3
59 - 57 = 2
60 - 59 = 1
60 - 60 = 0
So,
The difference between the numbers is consecutive as 3, 2, 1, 0.
Thus,
The missing values of X1 and X2 are 101 and 25.
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(1 point) The expression 4^65536g³y² √√/65536g³y² equals kg³y³
where r, the exponent of g, is:
and s, the exponent of y, is:
and k, the leading coefficient is:
The 4 is the square root
The exponent of g, r, is -65536.
The exponent of y, s, is 1.
The leading coefficient, k, is 4.
Note: The expression 4^65536g³y² √√/65536g³y² is not equal to kg³y³, but instead represents the value of 4 raised to the power of 65536 times g raised to the power of -65536, divided by the square root of 65536 times g raised to the power of -65536 times y squared. The square root symbol is used twice, which is equivalent to taking the square root of the square root, or the fourth root.
question which of the following must be true for an estimator of a population parameter to be unbiased? responses the sampling distribution of the estimator is normal. the sampling distribution of the estimator is normal. the expected value of the estimator is equal to the population parameter. the expected value of the estimator is equal to the population parameter. the sampling distribution of the estimator is the same shape as the distribution of the population parameter. the sampling distribution of the estimator is the same shape as the distribution of the population parameter. the variability of the sampling distribution of the estimator is equal to the variability of the population parameter. the variability of the sampling distribution of the estimator is equal to the variability of the population parameter. the variability of the sampling distribution of the estimator is less than the variability of the population parameter.
The second statement in your question is the correct response.
What is the sampling distribution?
A sampling distribution is the probability distribution of a statistic (such as the sample mean or sample proportion) based on all possible random samples of a fixed size from a population.
The following statement must be true for an estimator of a population parameter to be unbiased:
The expected value of the estimator is equal to the population parameter.
Hence, the second statement in your question is the correct response.
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1. Heights of kindergarteners follow an approximately normal distribution with mean = 40 inches and standard
deviation o-5.2 inches. Let be the sample mean height of 10 randomly selected kindergarteners.
(a) Describe the shape, center, and variability of the sampling distribution of for samples of size 10. Interpret the
standard deviation.
The shape of the sampling distribution will be approximately normal, with a center at 40 inches and a standard deviation of 1.645 inches.
What is the shape, center, and variability of the sampling distribution?The mean of the sampling distribution of the sample mean height for samples of size 10 will also be 40 inches.
The standard deviation of the sampling distribution of the sample mean height can be calculated as:
σ/sqrt(n) = 5.2/sqrt(10) = 1.645
So, the shape of the sampling distribution will be approximately normal, with a center at 40 inches and a standard deviation of 1.645 inches.
The variability of the sampling distribution is smaller than the variability of the population distribution, because the standard error is smaller than the population standard deviation. This means that the sample means are more likely to be closer to the population mean than the individual heights in the population.
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What is the slope of the line that passes
through the points (-4, 4) and (-1, 3)?
Write your answer in simplest form.
Answer:
the answer is : m= -1/3
Step-by-step explanation:
you need the steps?
Pls help thank you will mark the Brainliest
Online math courses can also offer some benefits, such as the flexibility to work at your own pace and the ability to review lectures and assignments as needed. Overall, taking an online math course requires self-discipline, motivation, and a willingness to seek help when needed.
Describe Online classes?Online classes are virtual classrooms that offer students the opportunity to learn from anywhere, at any time, with a reliable internet connection. The primary focus of online classes is to provide students with the same level of academic instruction as they would receive in a traditional classroom setting. Many educational institutions and organizations offer online classes, including colleges, universities, and K-12 schools.
One of the significant advantages of online classes is that they offer flexibility, which means students can manage their coursework according to their schedule. Students can also access course material, lectures, and assignments from anywhere, which eliminates the need to attend a physical classroom. Online classes also offer students the ability to work at their own pace and review course material as often as they need to.
Online classes provide students with access to a wide range of educational resources, including video lectures, interactive quizzes, discussion forums, and other learning tools. Many online classes also provide students with personalized support, including one-on-one virtual sessions with instructors or teaching assistants.
Taking an online math course can be different from taking other subjects online. Typically, online math courses involve watching pre-recorded video lectures, completing online assignments, and participating in online discussions or forums. Online math courses may also use virtual tools, such as interactive graphs or calculators, to enhance the learning experience.
Compared to other online courses, learning math online may require more self-discipline and motivation, as it can be challenging to stay engaged with the material without the structure of a traditional classroom. Additionally, math is a subject that often builds on previous concepts, so it is essential to stay on top of the material and seek help if needed.
However, online math courses can also offer some benefits, such as the flexibility to work at your own pace and the ability to review lectures and assignments as needed. Overall, taking an online math course requires self-discipline, motivation, and a willingness to seek help when needed.
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Please help!
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
The scale factor of the smaller figure to the larger figure in the first instance is 1. 25 .
The scale factor in the second instance is 3. 75 .
How to find the scale factor ?To find the scale factor, the formula is :
= Length of side of larger figure / Length of corresponding side of smaller figure
The scale factor in the first instance is :
= 30 / 24
= 1. 25
The scale factor in the second instance is :
= 15 / 4
= 3. 75
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Determine the solutions of the equation:
the absolute value quantity four thirds times x plus 2 end quantity minus 6 equals 0
The solutions of the given absolute value equation |4/3 x + 2| - 6 = 0 are x = 3 and x = -6.
What is Absolute Value Equations?Absolute value equations are kind of equations which includes the absolute value symbol in the expression.
For example : |x - 5| = 4 is an absolute value equation.
The given absolute value equation is,
four thirds times x plus 2 end quantity minus 6 equals 0.
|4/3 x + 2| - 6 = 0
Isolating the absolute value quantity on one side,
|4/3 x + 2| - 6 + 6 = 0 + 6
|4/3 x + 2| = 6
This can be written as,
4/3 x + 2 = 6 and 4/3 x + 2 = -6
Solving each of these,
4/3 x + 2 = 6
4/3 x = 4
x = 3
4/3 x + 2 = -6
4/3 x = -8
x = -6
Hence the value of x are 3 and -6.
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1. suppose a point is to be selected at random from the unit square. write the sample space associated with this random experiment.
a) The x-range of a unit square is from o to 1 and y-range is also from 0 to 1
Sample space = {(x, y)} , 0≤x≤1, 0≤y≤1.
So, sample space associated with this random experiment is
{(x, y)} , 0≤x≤1, 0≤y≤1.
b) From the given data,
Sample space for A : {1, 3, 5, 7, 9, 11,...}
Sample space for B: {5, 10, 15, 20, 25,...}
Therefore, the sample space for A∩B will be the set of all odd natural numbers divisible by 5 which is
{5, 15, 25, 35,....}
c) First letter is the capital letter = 26 Possibilities
then four digits = 9*10*10*10
two lower case letters = 26*26
Total possible ways = 26*9*10*10*10*26*26
= 15,81,84,000 ways.
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Complete question:
Suppose a point is to be selected at random from the unit square. Write the sample space associated with this random experiment. 2. Let S = {0, 1, 2, 3, 4, ...), A = the set of odd natural numbers, and B = the set of natural numbers divisible by 5. What is the set An B? 3. A computer password consists of two lowercase letters followed by a capital letter and four digits. Find the total number of possible passwords.
Yesterday, the price of a loaf of bread at five supermarkets was $1.54, $1.69,
$1.79, $1.57, and $1.71, but today each supermarket raised its price by $0.05.
What S
today's mean price of a loaf of bread at the five supermarkets?
• A. $1.71
• B. $1.66
• C. $1.76
• D. $1.81
Answer:
C.
Step-by-step explanation:
Multiply then divide
On a recent math test, Alfred was asked to write an equation for the following problem:
Jenny bought 2 bags of carrots for her 6 rabbits. In the 2 bags of carrots, there are 52 carrots. How many carrots will each rabbit get if Jenny divides them equally for her 6 rabbits? Alfred wrote the expression: 52 ÷ 2. Is Alfred correct? Explain why or why not.
not much points but pls answer 14 points
Consider the information given in Example 3. Describe and correct the error in predicting the number (n) of students in the school who watch zero movies each week.
Answer:its hard to say
Graph each inequality.
7. yz|x+2
The graph of the inequality is added as an attachment
How to determine the graphFrom the question, we have the following parameters that can be used in our computation:
yz|x+2
Express properly
So, we have the following representation
y < x + 2
The above expression is an inequality that implies that
The value of y does not exceed 2 added to x
Next, we plot the graph
See attachment for the graph of the inequality
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GUITAR CLASS, HELP ASAP, WILL GIVE BRAINLIEST,
Five horizontal, parallel, equidistant lines with black oval with stem in 3rd space.
What is the name of the note shown above?
A
B
C
G
The above-shown note is labeled B based on the information provided.
How do you measure the distance between two lines evenly?A point is considered to really be equidistant from both of two other points when they are equally distanced from one another. The distance between any two given points may be calculated using the distance formula utilizing the coordinates of the two points.
What does equidistant mean?Example: Given that points A and B have the coordinates (1, -2) and (5, 6), respectively, determine the midpoint of line segment AB. Find the midpoint's distance between points A and B to confirm it. The midpoint is confirmed to be equally far from points A and B because both of those places are from it.
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8. On the graph below, plot the points (-6,-6) and (6, 6). Find the distance
between the two points.
Answer:
You are correct it is 12.
Step-by-step explanation:
Answer: Square root of 288, or estimated 16.97
Step-by-step explanation:
Conveniently, the points form a diagonal line as you show, so we can use the Pythagorean Theorem to find the distance.
The x-component of this is the distance between -6 and 6, which is 12, and the y-component is again the distance between -6 and 6, which is also 12.
Therefore, the distance is the square root of 12^2 + 12^2, or the squareroot of 288.
Each of these graphs of residuals is from the same set of data using different lines to fit the data. Which graph is most likely to represent the residuals from the best fit line?EXPLAIN YOUR REASONING.
The graph which is most likely to represent the residuals from the best fit line is Option C.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that from the graphs of residuals is the same set of data using different lines to fit the data.
The best fit line is the line that minimizes the sum of the squared residuals.
In other words, it is the line that has the smallest sum of the squared differences between the actual data points and the predicted values from the line.
The residuals represent the differences between the actual data points and the predicted values, and any systematic pattern in the residuals would suggest that the line is not a good fit for the data.
Hence, Option C is correct, the graph which is most likely to represent the residuals from the best fit line.
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A brick path between two buildings is a rectangle 30.5m by 4.1m.Flowers grow in 4 square holes in the walkway.Each side of the holes is 1.2m.Calculate the area covered in brick.
10 x 10 divide 5.6 x 5
Answer: 4
Step-by-step explanation:
Determine algebraically whether the function is even, odd, or neither?
f(x)=3 x 3+5
The function f(x) = 3x³ + 5 is neither even nor odd. To determine whether a function is even or odd, you need to check how the function behaves when x is replaced with -x.
To determine whether the given function is even, odd, or neither, we need to check the following conditions:
Even function: If f(-x) = f(x) for all x in the domain of f, then the function is even.
Odd function: If f(-x) = -f(x) for all x in the domain of f, then the function is odd.
Let's check these conditions for the given function:
f(x) = 3x³ + 5
f(-x) = 3(-x)³ + 5 = -3x³ + 5
f(x) = 3x³ + 5
Since f(-x) is not equal to f(x), the function is not even.
f(-x) = 3(-x)^3 + 5 = -3x^3 + 5
-f(x) = -(3x^3 + 5) = -3x^3 - 5
Since f(-x) is not equal to -f(x), the function is not odd.
Therefore, the given function is neither even nor odd.
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(15, 2); perpendicular to 5x - y = 2
(a) Write the equation of the line in slope-intercept form.
(b) Write the equation of the line in standard form.
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
5x - y = 2 ( subtract 5x from both sides )
- y = - 5x + 2 ( multiply through by - 1 )
y = 5x - 2 ← in slope- intercept form
with slope m = 5
(a)
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex] , then
y = - [tex]\frac{1}{5}[/tex] x + c ← is the partial equation
to find c substitute (15, 2 ) into the partial equation
2 = - [tex]\frac{1}{5}[/tex] (15) + c = - 3 + c ( add 3 to both sides )
5 = c
y = - [tex]\frac{1}{5}[/tex] x + 5 ← in slope- intercept form
(b)
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
y = - [tex]\frac{1}{5}[/tex] x + 5 ( multiply through by 5 to clear the fraction )
5y = - x + 25 ( add x to both sides )
x + 5y = 25 ← in standard form
A bag contains 2 red marbles and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws a second marble, what is the probability that both marbles are red? Write your answer as a fraction.
Answer:
hope this helps!
Step-by-step explanation:
ive tried many times on this but stilll wasnt sure
Hi there, here's your answer:
Given two trapeziums, ABCD and WXYZ, where ABCD ~ WXYZ.
To find:
Value of v.
Solution:
We see that 2 sides are equal for both the trapeziums and it appears that
when comparing these sides, the bigger sides which are equal are always a multiple of 5 of the smaller side.
Applying this to find the similarity of the other two sides which are not equal, we find that on comparing the sides that are known, the similar side for AB is WX and AB = 5 × WX.
Thus, using this we can find the value of v to be YZ × 5 = 10 × 5 = 50m
Hope it helps! Please mark as Brainliest!
Please help me it’s a drag and drop
Need answers stat trigonometry
The value of x to the nearest tenth are as follows;
x = 47.0 units.
x = 25.1 units.
x = 23.8 units.
x = 29.7 units.
x = 21.1°.
x = 39.6°.
x = 58.0°.
x = 72.9°.
How to determine the value of x?From the image attached above, we can logically deduce that the triangle is a right-angled triangle with the following side lengths:
Opposite side = x.
Adjacent side = 25.
Therefore, we would determine the value of x by using Tan trigonometric function:
Tanθ = Opposite side/Adjacent side
Tan45 = 25/x
x = 25Tan62
x = 47.0 units.
For right-angled triangle 3, we have:
Sin26 = 11/x
x = 11/0.4384
x = 25.1 units.
For right-angled triangle 4, we have:
Sin48 = x/32
x = 32sin48
x = 23.8 units.
For right-angled triangle 5, we have:
Cos12 = 29/x
x = 29/0.9782
x = 29.7 units.
For right-angled triangle 6, we have:
Cosθ = 14/15
θ = cos⁻¹(0.9333)
θ = 21.1°.
For right-angled triangle 7, we have:
Tanθ = 19/23
θ = tan⁻¹(0.8261)
θ = 39.6°.
For right-angled triangle 8, we have:
Cosθ = 9/17
θ = cos⁻¹(0.5294)
θ = 58.0°.
For right-angled triangle 9, we have:
Sinθ = 43/45
θ = sin⁻¹(0.9556)
θ = 72.9°.
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approximately what year did printed newsletters begin circulating in europe?1450145016001600185018501200
Approximate year when the Europe began circulating the printed newsletters is given by option c. 1600.
In early 1566 the oldest direct handwritten newsletters circulated widely in Venice of Europe.Weekly newsletters were giving information about wars and politics in Europe and Italy.In Germany first printed newsletter was published weekly from the year approximately 1609.Modern newsletters are European inventions as mentioned.Newsletter written by King began in the mid fifteenth century.Subscribers note down all the interesting events of the week and write it in the weekly newsletter.Therefore, the year when first printed newsletter began circulating in the Europe is equal to option c. 1600.
The above question is incomplete , the complete question is :
In approximately what year did printed newsletters begin circulating in Europe?
a] 1200 b] 1450 c] 1600 d ] 1850
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whats the answer to this question
Answer:
180 most likely
At a railway station, trains are either eastbound or westbound.
An eastbound train leaves the station every 25 minutes.
A westbound train leaves the station every 45 minutes.
An eastbound train and a westbound train both leave the station at 8 ar
When is the next time that two trains leave the station together?
If both bound trains leave together at 8, they will also start together at 11:45 the next time.
What is the LCM (least common multiple) of two numbers?The LCM of two numbers is the smallest possible number that is divisible by both of those two numbers. The prime factorization and the division methods are generally used to find the LCM.
An eastbound train leaves the station every 25 minutes whereas a westbound train leaves the station every 45 minutes.
These two types of trains will leave the station together if the time is divisible by both 25 and 45, that is, the LCM of them.
Find the LCM of 25 and 45 using the prime factorization method.
25=5×5
45=3×3×5
LCM(25,45)=3×3×5×5
=225
As 1 hour equals 60 minutes, it follows that 225 minutes equals 3 hours and 45 minutes.
If 3 hours 45 minutes is added to 8 hours, it will be 11 hours 45 minutes.
Therefore, the two trains leave the station together at 11 hours 45 minutes.
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x f 20-24 2 15-19 5 10-14 4 5-9 1 for the distribution in table 2-3, what was the highest score obtained in this group of 12 scores? group of answer choices
The highest score obtained in this group of 12 scores is 19
What is the distribution in statistics?
In statistics, a distribution refers to the way in which a variable is spread out or distributed across different values. A distribution describes the probability of different outcomes for a variable, and can be visualized using graphs such as histograms, box plots, and probability density functions.
The distribution in Table 2-3 shows frequency (f) for different score ranges (x). Without knowing the exact scoring system, we can't say for certain what the highest score obtained in this group of 12 scores is. However, we can determine the upper limit of the highest score range by multiplying the upper limit of the range by its frequency:
Upper limit of 20-24 range = 24
Frequency of 20-24 range = 2
Upper limit of 15-19 range = 19
Frequency of 15-19 range = 5
Upper limit of 10-14 range = 14
Frequency of 10-14 range = 4
Upper limit of 5-9 range = 9
Frequency of 5-9 range = 1
To find the highest score, we need to determine the upper limit of the score range that has the highest frequency. In this case, the highest frequency is 5, which corresponds to the range 15-19.
Hence, the highest score range is 15-19, and the highest score within that range is the upper limit of that range, which is 19. So, the highest score obtained in this group of 12 scores is 19 (assuming the scoring system is such that higher scores correspond to higher ranges).
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