Santos takes the train into the city five days a week for work. For one work week he kept track of how many minutes the train ride was : 48,51,48,48,50
Calculate the mean median range in the range of the train ride times for the week
Answers
The mean train ride time for the week was 49.4 minutes, with a median of 48 minutes. The range of the train ride times was 3 minutes.
The mean, median, and range of Santos' train ride times for the week were as follows:
Mean: 49.4 minutes
The mean is calculated by adding up all the values and dividing the sum by the total number of values. In this case, the sum of the train ride times (48 + 51 + 48 + 48 + 50) is 245 minutes. Dividing this sum by the total number of days (5), we get the mean of 49.4 minutes.
Median: 48 minutes
The median is the middle value in a sorted list of numbers. To find the median, we arrange the train ride times in ascending order: 48, 48, 48, 50, 51. Since there is an odd number of values, the middle value is the median. In this case, the median is 48 minutes.
Range: 3 minutes
The range is the difference between the largest and smallest values in a set. To calculate the range, we subtract the smallest value (48 minutes) from the largest value (51 minutes). In this case, the range of the train ride times for the week is 3 minutes.
In summary, the mean train ride time for the week was 49.4 minutes, with a median of 48 minutes. The range of the train ride times was 3 minutes. These metrics provide insights into the average, central tendency, and variability of Santos' train rides throughout the week.
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Related Questions
What is the average rate of change between x = 10 and x = 30
Answers
Answer:
everyone always asks "where's the toilet?" but no one ever asks "how's the toilet?" :'(
Step-by-step explanation:
help help help help help help
Answers
Answer:
the answer is no c because the translation is done in clockwise taking y intercept in 6 units
a line passing through the origin which is not contained in any of the three coordinate planes, include and label at least three labeled points on the line
Answers
Three labeled points on the line are (-2, -2m), (0, 0), and (2, 2m), where m is the slope of the line.
A line passing through the origin but not contained in any of the three coordinate planes can be represented by the equation y = mx, where m is the slope of the line. Since the line passes through the origin, the y-intercept is 0.
To find labeled points on the line, we can choose different values for x and calculate the corresponding y-values using the equation y = mx. Let's choose three values for x: -2, 0, and 2.
For x = -2:
y = m(-2) = -2m
So, one labeled point on the line is (-2, -2m).
For x = 0:
y = m(0) = 0
Another labeled point on the line is (0, 0).
For x = 2:
y = m(2) = 2m
So, the third labeled point on the line is (2, 2m).
These three labeled points (-2, -2m), (0, 0), and (2, 2m) lie on the line passing through the origin, and they are not contained in any of the coordinate planes.
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How do you solve SSS theorem?
Answers
A SSS (side-side-side) theorem is kind of Congruence rule where two triangles with three congruent sides. So, we can solve it by showing the congruency between two triangles.
Statement: Side-Side-Side (SSS) ,the congruence theorem states that two triangles are congruent if three of their sides are equal to the corresponding sides of the other triangle.
Proof: Given, AB = DE, BC = EF, AC = DF.
To prove: ΔABC ≅ ΔDEF.
We know that the three sides of both triangles are equal in size and length. With both triangles superimposed, DE is placed on AB, EF is placed on BC, and DF is placed on AC. That is, AB = DE, BC = EF, AC = DF. Therefore, we can say that ΔABC ≅ ΔDEF.
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what is the graph
picture below
pls helppppp for brainlest
Answers
Answer:
B
Step-by-step explanation:
5x + 4y >= 2
4y >= -5x + 2
y >= -5/4x + 1/2
Since the equation is >=, everything on or above the line y = -5/4x + 1/2 should be shaded.
Solve 1/2x times 1/4x-18=6.
Answers
Answer:
The answer is 48
Step-by-step explanation:
Have a nice day
Independent random samples of 8 customers from Internet provider A and 10 customers from Internet provider B were taken and the ages of these customers were recorded. For Internet provider A the mean age is 35.2 years and the standard deviation is 8.2. For Internet provider B the mean age is 38.4 years and the standard deviation is 5.8 years. Is there evidence that the average age for customers is less for those using Internet provider A than for Internet provider B. Use a 10 level of significance. a. Type the null and alternative hypotheses for this problem. b. Type the name of the appropriate test to use.
Answers
Fot the two random samples of customers from Internet provider, a) The null and alternative hypothesis are \(H_0 : \mu_1 = \mu_2 \\ H_a : \mu_1< \mu_2\).
b) The appropriate test that we will use is Two sample t-test.
We have an independent random sample with sample size from provider A, n₁ = 8
Sample size for provider B, n₂ = 10
Sample mean for sample A, \(\bar X_1\) = 35.2 years
Standard deviations, s₁ = 8.2
Sample mean for sample B, \(\bar X_2 \) = 38.4 years
standard deviations, s₂ = 5.8
Level of significance, a = 10% = 0.10
a) Now, we have check the claim that the average age for customers is less for those using Internet provider A than for Internet provider B, is true or not. Consider the null and alternative hypothesis are defined as \(H_0 : \mu_1 = \mu_2 \\ H_a : \mu_1< \mu_2\).
b) As we have two samples with all details like mean, standard deviations, etc. So, to check the validity of null hypothesis we will use two sample t test. The test statistic value is written as
\(t = \frac{ \bar X_1 - \bar X_2 }{\sqrt{s_p²(\frac{1}{n_1}+\frac{1}{n_2}})}\), where Pooled standard deviations,\(s_p =\frac{( n_1 - 1)s_1² + (n_2 - 1)s_2²}{n_1 + n_2 - 2} \).
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As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution.
Answers
The standard normal distribution becomes smaller.
What is standard deviation?
Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution
becomes smaller.
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need help putting these least to greatest , 0.81 , 0.9, 0.73, 0.7
Answers
Answer:
0.7 0.73 0.81 0.9
Step-by-step explanation:
hope this helps
1.1. State whether the following statements are true or false. 1.1.1. Some measuring instruments need to be calibrated before they are used. This often means adjusting the zero mark on the gauge to correspond with a true zero reading. (2) 1.1.2. An outside micrometre is appropriate for measuring the part length and shaft diameter. (2) 1.1.3. On the vernier scale, the smallest increment on the main scale is further divided. (2) 1.2. Complete the following statement: (4) The micrometre has two scales, one on the a). and one on the thimble. The mark on the thimble is given in b) ................mm. One revolution of the thimble equals c)............... mm movement of the spindle.
Answers
Measuring instruments may require calibration before use, an outside micrometer is not suitable for measuring part length and shaft diameter, and the vernier scale further divides smallest increment on main scale.
1.1.1. True. Some measuring instruments, such as gauges, require calibration before use to ensure their accuracy. This calibration often involves adjusting the zero mark on the gauge to align with a true zero reading, ensuring precise measurements. 1.1.2. False. An outside micrometer is not typically used for measuring part length and shaft diameter. It is more suitable for measuring external dimensions, such as the thickness or diameter of objects.
1.1.3. True. On a vernier scale, the smallest increment on the main scale is further divided by the vernier scale. This allows for more precise readings by measuring the difference between the two scales. 1.2. The micrometer has two scales, one on the sleeve and one on the thimble. The mark on the thimble is given in millimeters (mm). One revolution of the thimble equals the pitch of the screw thread, which is typically 0.5 mm or 0.025 inches, and corresponds to the linear movement of the spindle.
In summary, measuring instruments may require calibration before use, an outside micrometer is not suitable for measuring part length and shaft diameter, and the vernier scale further divides the smallest increment on the main scale. The micrometer consists of scales on the sleeve and thimble, with the thimble's mark given in millimeters and each revolution corresponding to the pitch of the screw thread.
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Larry could ______ to make his budget work and afford the ticket.
Answers
Answer:
I need the answer choices
Step-by-step explanation:
solve the equation 2x(2-6)=4(3+1x-2)
Answers
Answer:
no solution
Step-by-step explanation:
if you distribute and simplify:
4x-12 = 12+4x-8
4x-12 = 4x+4
-12 ≠ 4
Answer:
\(x = - \frac{1}{3} \)
Step-by-step explanation:
1) Simplify 2 - 6 to -4.
\(2x \times - 4 = 4(3 + 1 \times x - 2)\)
2) Simplify 1 × x to x.
\(2x \times - 4 = 4(3 + x - 2)\)
3) Simplify 3 + x - 2 to x + 1.
\(2x \times - 4 = 4(x + 1)\)
4) Simplify 2x × -4 to -8x.
\( - 8x = 4(x + 1)\)
5) Divide both sides by 4.
\( - 2x = x + 1\)
6) Subtract x from both sides.
\( - 2x - x = 1\)
7) Simplify -2x - x to -3x.
\( - 3x = 1\)
8) Divide both sides by -3.
\(x = - \frac{1}{3} \)
Therefor, the answer is x = -1/3.
Write an equation in slope-intercept form of a line passing through the given point andparallel to the given line.13. (4, 2); x+ y= 1
Answers
The equation of the line in slope-intercept form is,
\(y=mx_{}+b\)where,
m = slope
The equation of the line given is,
\(x+y=1\)Let us now rearrange the equation in the slope-intercept form in order to obtain the slope.
Therefore,
\(\begin{gathered} x+y=1 \\ y=-x+1 \\ \therefore\text{ The slope(m) is -1.} \end{gathered}\)We were told the point is parallel to the equation of the line.
The rule for parallelism is,
\(\begin{gathered} m_1=m_2 \\ \therefore-1=-1 \end{gathered}\)The formula to calculate for the equation of a line given one point is,
\(y-y_1=m(x-x_1)\)Given
\(\begin{gathered} (x_1,y_1)=(4,2) \\ m=-1 \end{gathered}\)Substitute and simplify
\(\begin{gathered} y-2=-1(x-4) \\ y-2=-1x+4 \\ y=-x+4+2 \\ \therefore y=-x+6 \end{gathered}\)Hence, the equation of the line in slope-intercept form is
\(y=-x+6\)с
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction
if needed.
Tan A
Check
50
30
A
40
B
Answers
Using relations in a right triangle, it is found that:
tan(A) = 3/4 = 0.75.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this triangle:
The adjacent side to A has length 40.The opposite side to A has length 30.Hence the tangent of A is:
tan(A) = 30/40 = 3/4 = 0.75.
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find the value of y
Answers
Answer:
Step-by-step explanation:
\(sin90/10=sin45/y\\ \\ y=10sin45\\ \\ y=5\sqrt{2}\)
Answer:
The answer is
\(5 \sqrt{2} \)
Step-by-step explanation:
By using Pythagoras
Then
\( {y}^{2} + {y}^{2} = {10}^{2} \\ 2 {y}^{2} = 100 \\ {y}^{2} = 50 \\ y = \sqrt{50} = \sqrt{2 \times 25} = 5 \sqrt{2} \)
Suppose you have an algorithm A that takes as input an array M[0,1,...,n - 1] of n integers. The algorithm is defined by two functionsf: Z → Zand g: ZXZ â€" Z. If n = 1, then the algorithm computes a function f (g), where is the single entry in the array, and returns this integer value. For larger values of n, the algorithm Computes two new arrays that start at positions i = 0 and [n/3 - 1] and that include [2n/3] elements. Thus, if n = 15, the new arrays would begin at positions 0 and 4 and contain 10 elements each The algorithm then runs recursively on each subarray, and stores the value. This returns an ordered set of two integers, x, y,. The algorithm then computes g(x, y), and returns this value. We would like to write down a function (n) for the running time of this algorithm on inputs of arrays of n elements. Assume that computing f (9) and g(x, y) each cost only one operation. Counting all the operations for each step, which of the following recurrence relations would seem to fit? To make the problem easy to solve, you should assume that n = 3k for some non-negative integer a. t(1) = and t(n) = 2t(n/2) + 1, for some positive constant C O b. t(1) = C, and t(n) = 21(2n/3), for some positive constant c. 1(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2 d. 1(1) = C, and t(n) = 21(2n/3) + C2n, for some positive constants C, C2 e. f(1) = C, and t(n) = 2t(n/3) + C2, for some positive constants C, C2
Answers
Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.
Let's denote the running time of the algorithm for an input of size n as t(n).
For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:
t (1) = C1
For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.
Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.
Considering these factors, we can write the recurrence relation for the running time as:
t(n) = 2t(2n/3) + C2
Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:
c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2
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Evaluate ∭Ey2 dV∭Ey2 dV, where EE is the solid hemisphere x2+y2+z2≤9, y≥0x2+y2+z2≤9, y≥0.
Answers
The value of the given integral after the calculation is 54π/5.
here,
we consider the given data and try to simplify the integral
The integral is ∭Ey2 dV that is over the solid hemisphere x2+y2+z2≤9, y≥0x2+y2+z2≤9, y≥0.
The evaluation of the given integral can be possible using spherical coordinates. Furthermore, the solid hemisphere can also be described as 0≤θ≤π/2 and 0≤Ф≤2π.
therefore,
spherical coordinates are Ey² = (ρsinΦ)²= ρ²sin²φ
now, the Jacobian for the given spherical coordinate is r²sinθ
now,
∭Ey2 dV =∭ρ²sin³φr²sinθdρdθdφ
=∫\(0^{(\pi /2)}\) ∫\(0^{(\pi /2)}\) ∫\(0^{3}\)ρ⁴sin³φ sinθdρdθdφ
=(3⁵/5) x (1/2) x (2/3)
=54π/5
The value of the given integral after the calculation is 54π/5.
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Is this a function pls someone tell me
Answers
add a song that you can create your own drink combinations they have a total of 5 days soda flavors and you can add flavors from their selections of 12 flavors and how many different ways could you select a case of soda and one added flavor
Answers
This is a problem of combinations divided like this
\(baseSoda+addedflavour\)since this is a sum we can solve by the product and solve each combination independently
\(\begin{gathered} baseSoda+addedflavour \\ (5C1)\cdot(12C1) \\ 5\cdot12 \\ 60 \end{gathered}\)There are 60 different ways you can select the soda combination
Plz help!!! I will give brainliest!!! No links!! Also plz explain how you got ur answer!
Lainee brought a book to read on the way to California. Once we go to the hotel, she had read 5/6 of it. What fraction of the book does she have left to read?
Answers
Answer:
1/6
Step-by-step explanation:
Because because there are six books in total and she only red 5 in the way
5. Which of the following pairs of operations solve the equation 3x + 5 = 17?
a. subtract 5 then divide by 3
b. divide by 3 then subtract 5
c. add five then multiply by 3
d. multiply by 3 then add five
Answers
Answer:
a
Step-by-step explanation:
3x+5=17
3x=17-5
3x=12
x=4
combine like terms: 3p2q2-3p2q3+4p2q3-3p2q2+pq PLEASE HELP!!! ASAP!!!
Answers
Answer:
p²q³ + pq and pq(pq² + 1)
Step-by-step explanation:
Given
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Required
Collect like terms
We start by rewriting the expression
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Collect like terms
3p²q² -3p²q² - 3p²q³ +4p²q³ + pq
Group like terms
(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq
Perform arithmetic operations on like terms
(0) - (-p²q³) + pq
- (-p²q³) + pq
Open bracket
p²q³ + pq
The answer can be further simplified
Factorize p²q³ + pq
pq(pq² + 1)
Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)
What is the inverse of a function f(x)=2x +1 ?
A•H(x)=1/2x-1/2
B•H(x)=1/2x+1/2
C•H(x)=1/2x-2
D• H(x)=1/2x+2
Answers
The inverse of a function f(x)=2x + 1 include the following: A. H(x) = 1/2x - 1/2
What is an inverse function?In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).
In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;
f(x) = y = 2x + 1
x = 2y + 1
By rearranging the equation, we have the following:
2y = x - 1
y = (x - 1)/2
H(x) = 1/2(x) - 1/2.
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4. Use the triangle congruence postulates to prove congruence.
Part I: Fill in the blanks to name each triangle congruence postulate.
a. SSS:
b. SAS:
c. ASA:
AAS:
In the triangle
Answers
The triangle congruence postulate is illustrated below
How to illustrate the triangle?It should be noted that two triangles are congruent if they have the same shape and size.
AAS: The angle-angle-side theorem illustrates that two triangles are congruent if the two angles and a side note between the two angles are identical to that of another triangle.
SSS: This illustrates that the three sides of a triangle are congruent to the corresponding three sides of the other triangle.
ASA: This illustrates that the triangles are congruent when the two angles and the side are the same as the corresponding angles and sides of the other triangle.
SAS: When two sides and the included angle of a triangle are congruent to the corresponding sides and the included angle if a second triangle then it follows the side-angle-side theorem.
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The graph represents the system of inequalities shown below. Determine whether the statement that follows the
graph is true or false.
y greater than or equal to 6
5x+3y ≤ 15
f(x,y) - 12x+3y
Answers
Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.
What are the rules for writing an inequality?In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:
The line on a graph is a solid line when the inequality symbol is (≥ or ≤).The inequality symbol is greater than or equal to (≥) when a solid line is shaded above.The inequality symbol is less than or equal to (≤) when a solid line is shaded below.In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:
Assuming the ordered pair (1, 2), we have:
y ≥ 6
2 ≥ 6 (False).
5x+3y ≤ 15
5(1) +3(2) ≤ 15
5 + 6 ≤ 15
11 ≤ 15 (True).
Therefore, it is not a feasible solution.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answers
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
W (n)= -2n-2; find w (9)
Answers
explanation/work:
w(n) = -2n-2
w(9) = -2(9)-2
w(9) = -18-2
w(9) = -20
If p and q vary inversely and p is 24 when q is 23, determine q when p is equal to 2
Answers
Using the inverse variation formula, p × q = k, where k is a constant, we can solve for q when p is equal to 2, given that p and q vary inversely and p is 24 when q is 23 when p is equal to 2, q is equal to 276.
When two variables vary inversely, as one variable increases, the other variable decreases proportionally, and vice versa. In this problem, p and q vary inversely, which means that if we multiply p by some constant, we need to divide q by the same constant to maintain the inverse variation.
First, we need to find the value of k using the given information:
p × q = k
24 × 23 = k
k = 552
Now that we have the value of k, we can use it to solve for q when p is equal to 2:
p × q = k
2 × q = 552
q = 276
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if a bakery produces 1,215 cupcakes during a 9 hour shift, what is the production rate of cupcakes per hour?
can u explain it in ratio
Answers
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own neighborhood. Caleb has had his business for more than a year and has experimented with different prices for his services. He is willing to share what he has learned with you as you begin to plan your business. The Project: Use the information provided in the Performance Task to learn more about your competition and the costs of your business. See what you can discover by looking at Caleb's sales records to help you decide how to set up and price your own dog-walking services. Use the questions below to help you gather information and get your new business off to a profitable start.
Answers
Answer:
Where the information
Step-by-step explanation: