WILL GIVE 20 POINTS PLEASE HELP ME
The number of visitors to the Railroad Museum during 24 randomly selected hours is shown here. Construct a stem and leaf plot for the data.
67 62 38 73 34 43 72 35 53 55 58 63
47 42 51 62 32 29 47 62 29 38 36 41
Answers
Constructing a frequency distribution table for visitor numbers with a range of 29 to 73 and class intervals of 10 provides a clear overview, facilitating analysis and interpretation of the data.
Construct a frequency distribution table for the given data, with explanations:
1. Find the range of the data:
The lowest number of visitors is 29.
The highest number of visitors is 73.
The range is 73 - 29 = 44.
2. Determine the appropriate class intervals:
Choose a class interval width that will create a reasonable number of classes, typically between 5 and 10.
Consider the range of the data and aim for intervals that are easy to interpret.
In this case, a class interval width of 10 would be suitable, resulting in 5 classes:
29-38
39-48
49-58
59-68
69-78
3. Create the table:
Draw a table with three columns:
Class Interval
Tally (optional)
Frequency
4. Tally the data (optional):
Go through each data point and mark a tally mark in the appropriate class interval. (This is helpful for visual counting, but not strictly necessary.)
5. Count the frequencies:
Count the number of data points that fall into each class interval and record those numbers in the frequency column.
Complete question:
The number of visitors to the Railroad Museum during 24 randomly selected hours is shown here. 67 62 38 73 34 43 72 35 53 55 58 63 47 42 51 62 32 29 47 62 29 38 36 41 The error in the data is 1. a) Construct a frequency distribution table
Related Questions
The length of a rectangle is the sum of the width and 1. The area of the rectangle is 72 units. What is the length in units of the rectangle
Answers
Answer:
L = 9
Step-by-step explanation:
Translating this into symbols, we get L = W + 1 and A = 72 = W * L.
Substituting W + 1 for L in the latter equation, we get:
72 = W(W + 1), or:
W^2 + 1W - 72 = 0
This factors into (W + 9)(W - 8) = 0, so that W must be either -9 or +8.
Since W represents width, a physical measurement, we eliminate the negative result and conclude that W = 8 units. Then L = W + 1 = 9 units.
Note that (8)(9) = 72, as we already know.
The length of the rectangle is: [tex]\[ {9} \] units.[/tex]
Let's denote the width of the rectangle as \( w \) and the length of the rectangle as \( l \).
According to the problem, the length \( l \) is given by:
[tex]\[ l = w + 1 \][/tex]
The area of the rectangle is given by:
[tex]\[ \text{Area} = l \times w = 72 \][/tex]
Substituting the expression for \( l \) into the area formula:
[tex]\[ (w + 1) \times w = 72 \][/tex]
This can be rewritten as:
[tex]\[ w^2 + w - 72 = 0 \][/tex]
We now have a quadratic equation. To solve this, we can use the quadratic formula:
[tex]\[ w = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]\\where \( a = 1 \), \( b = 1 \), and \( c = -72 \).\\[/tex]
Plugging in these values:
[tex]\[ w = \frac{-1 \pm \sqrt{1^2 - 4 \cdot 1 \cdot (-72)}}{2 \cdot 1} \]\[ w = \frac{-1 \pm \sqrt{1 + 288}}{2} \]\[ w = \frac{-1 \pm \sqrt{289}}{2} \]\[ w = \frac{-1 \pm 17}{2} \][/tex]
This gives us two potential solutions for \( w \):
[tex]\[ w = \frac{16}{2} = 8 \]\[ w = \frac{-18}{2} = -9 \][/tex]
Since a width cannot be negative, we discard \( w = -9 \) and take \( w = 8 \).
Therefore, the width \( w \) is 8 units. Using the relationship \( l = w + 1 \), we find:
[tex]\[ l = 8 + 1 = 9 \][/tex]
So, the length of the rectangle is: [tex]\[ {9} \] units.[/tex]
Name 2 characteristics of the Polar Coordinate System
Answers
The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. Here are two key characteristics of the polar coordinate system:
1. Radial Distance (Radius): In the polar coordinate system, the location of a point is determined first by its distance from a fixed point, called the pole, analogous to the origin in the Cartesian coordinate system. This distance is often denoted as \( r \), and it can be thought of as the radius of a circle centered at the pole, with the point lying on the circumference of this circle.
2. Angular Coordinate (Angle): The second characteristic of a point's location in the polar coordinate system is the angle [tex]\( \theta \)[/tex] (theta), which is measured from a fixed direction, typically the positive x-axis of the corresponding Cartesian coordinate system. This angle, usually measured in degrees or radians, determines the direction of the line from the pole to the point.
These two values, [tex]\( r \)[/tex] and [tex]\( \theta \)[/tex], are called polar coordinates, and they provide an alternative to the Cartesian (rectangular) coordinate system for representing points on a plane, particularly useful in scenarios where the geometry or the nature of the problem is radially symmetric, such as in the cases of circular motion or fields (gravitational, electric, etc.).
Malia did push-ups and pull-ups in her physical education class. She did 24 push-ups and pull-ups combined, with each push-up taking her 2 seconds and each pull-up taking her 4 seconds. If she spent a total of 68 seconds doing the push-ups and pull-ups, how many pull-ups did she do?
A.2
B.4
C. 10
D.14
Answers
Answer:
10 pull
As 48 seconds + 20 seconds push = 68 seconds
Step-by-step explanation:
Because she did 10 push = 20 seconds = 2 seconds each
12 pull = 48 seconds = 4 seconds each
= 68 seconds combined.
Workings;
18 seconds found for the first set
We then find a divider of 68 and know that
6 x 3 = 18 seconds push
12 x 3 =36 seconds pull T= 54
14 left over = 1 x 12 seconds pull
+ 2 seconds push
= 10 push = 20 seconds combined.
= 12 pull = 48 seconds combined.
68/24 = 2.8- so 14 x 2 = 28 and 10 x 4 = 40 so the answer is 14 push and 10 pull
Answer:
It's 10.
Step-by-step explanation:
I just got it right on my unit test review.
is -4/3p + (-2/5) equivalent to -4/3p - 2/5
Answers
Answer:
yes
[tex] - \frac{4}{3} p + ( - \frac{2}{5} ) = - \frac{4}{3} p - \frac{2}{5} [/tex]
Step-by-step explanation:
Because ,
[tex]( + ) \times ( - ) = ( - )[/tex]
Bobby likes to hike the trails near his house. On Saturday, he spent 4 hours hiking 8 miles. On Sunday, he plans to hike 12 miles.
If he hikes at the same rate, how many hours will he spend hiking on Sunday?
Answers
Answer: I believe it will take Bobby 2 more hours to hike 12 miles in total it’s 6 hours
Bobby will spend 6 hours hiking on Sunday.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that On Saturday, Bobby spent 4 hours hiking 8 miles. On Sunday, Bobby plans to hike 12 miles.
WE need to find the time he will spend hiking on Sunday.
Then 4 hours hiking = 8 miles.
12 miles = 4/8 x 12
= 1/2 x 12
= 6
Hence, it will take Bobby 2 more hours to hike 12 miles.
thus, he will spend 6 hours hiking on Sunday.
To learn more about the unitary method, please visit the link given below;
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Jack rode his bike to school at 12 mph and then jogged back at 6 mph. If the round-trip took him six hours, how far was it to school?
Answers
Answer: 24 miles
Step-by-step explanation: 12 mph is two times as fast as 6 mph so 6 hours round trip is 2 hours for bike and 4 hours for jogging. You can either plug 2 for 12 (bike) or 4 for 6 (jog) either way you get 24
Answer:
24 miles
Step-by-step explanation:
HELP ON A TEST
A triangle has side lengths 15, 36 and 39 inches. Which of the following statements are true? Mark all that apply.
The triangle is a right triangle.
The triangle is a Pythagorean triple.
The triangle's hypotenuse is 39 inches.
The triangle is not a Pythagorean triple.
Answers
The triangle is a right triangle.
The triangle is a Pythagorean triple.
The triangles hypotenuse is 39 inches.
There are 850 toothpicks in a regular-sized box. If a jumbo box is made by doubling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?
Answers
Answer:
6800 toothpicks
Step-by-step explanation:
Capacity (how many can be held) is another word for volume.
The equation for volume is
V = lwh
And in the regular-sized box V = 850 toothpicks, so
850 = lwh
We need to double each dimension. Multiply length by 2, width by 2, and height by 2. 2*2*2 = 8, so multiply both sides by 8.
8* 850 = 8 * lwh
6800 = lwh
The jumbo box can hold 6800 toothpicks.
The jumbo box will hold 1700 toothpicks.
What is the volume of cylinder?The volume of cylinder is given by -
V = πR²h
Given is that there are 850 toothpicks in a regular-sized box. A jumbo box is made by doubling all the dimensions of the regular-sized box.
The volume {V} cubic units of the box can hold 850 toothpicks.
The volume {1} cubic units of the box can hold (850/V) toothpicks.
The volume {2V} cubic units of the box can hold (850/V x 2V) toothpicks.
(850/V x 2V)
850 x 2
1700
Therefore, the jumbo box will hold 1700 toothpicks.
To solve more questions on division, visit the link below-
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Si les deux équipes travaillaient ensemble, elles finiraient le projet en 6 jours. Si les deux équipes travaillaient ensemble durant les deux premiers jours, l'équipe A aurait besoin de 10 jours supplémentaires pour terminer seule le reste du projet. En combien de jours chaque équipe réaliserait-elle le projet si elle travaillait seule?
Answers
Answer:
Je pense que la réponse est 15 jours
Step-by-step explanation:
The distance between two cities on a map is 2 inches. The map scale is 1/4 inch = 5 miles. What is the actual distance between the cities?
Answers
Answer: The actual distance is 40 miles.
Step-by-step explanation:
First, it’s always easier for the first unit to be 1, so it’s easier to convert. To do get one from 1/4, you would multiply by 4.
1/4 x 4 = 1
However, we all know that if you do something to one side, you must do it to the other side, so we multiply 5 by 4.
5 x 4 = 20.
Your equation know looks like this:
1 inch = 20 miles.
Now, we just multiply both sides by 2, since that the amount of inches we need.
1 x 2 inches = 20 x 2 miles
2 inches = 40 miles
Therefore, the actual distance is 40 miles.
There is a spinner with 15 equal areas, numbered 1 through 15. if the spinner is spun one time, what is the probability that the result is a multiple of 4 and a multiple of 3?
Answers
9514 1404 393
Answer:
1/15
Step-by-step explanation:
The only area that is a multiple of 4 and 3 is the one marked with a 12. The probability that the spinner will land on any one of the 15 areas is 1/15.
The probability of landing on a number that is a multiple of both 4 and 3 when spinning a spinner with 15 equal areas numbered 1 through 15 is 1/15, since there is only one number that satisfies both conditions, which is the number 12.
To determine the probability that the result is a multiple of 4 and a multiple of 3 when spinning a spinner with 15 equal areas numbered 1 through 15, we first need to find the numbers on the spinner that meet both criteria.
A multiple of 4 and 3 is also a multiple of 12, since lcm(4,3) = 12. The multiples of 12 within the range of numbers 1 through 15 are just the number 12 itself. So there is only one number on the spinner that is a multiple of both 4 and 3.
The probability (P) of landing on that number is:
P = (Number of favorable outcomes) / (Total number of possible outcomes)
P = 1 / 15
Therefore, the probability is 1/15
Find the area of each triangle.
1. a = 6ft, b = 11ft, c = 12ft
2. a = 2in, b = 4in, C = 38°
Answers
Plsssss help I don’t get this math at all and it’s due today plsss help meeeeee
Answers
Answer:
1.25 cm
Step-by-step explanation:
Draw a radius line from the center to one of the top corners. This forms a right triangle where the hypotenuse is r, the width is 1, and the height is 2−r. Using Pythagorean theorem:
(2−r)² + 1² = r²
4 − 4r + r² + 1 = r²
5 − 4r = 0
r = 5/4
r = 1.25
Can someone please please help me :(
Answers
Answer:i think its 15 because if you take the km numbers and subtract them
Step-by-step explanation:
5 times a number is 14 less than the square of that number. Find the negative solution.
Answers
Answer:
-2
Step-by-step explanation:
Set up the equation where the number is x
5x=x squared -14
minus the 5x to make a quadratic equation
[tex]x^{2}[/tex]-5x-14=0
factor the equation
(x-7)+(x+2)=0
then you can find the opposites of the consonants,and find the negative answer is -2
I am a 7 digit even number the sum of my digits is 23 .My largest digit is in the hundreds place my smollest digit is in the tens place . My millions and tens thousands digits are the same the hundreds place is my only composit number .What number am i?
Answers
Answer:
There are two possibilities for the number. They are 3531902 and 3135902
Step-by-step explanation:
(i) Given that the sum of the digits = 23
(ii) Largest digit is in the hundreds place (5th digit)
(iii) Smollest digit is in the tens place (6th digit)
(iv) Millions and tens thousands digits are the same, (1st and 3rd digit)
(v) Hundreds place is my only composit number(5th digit)
The composite numbers < 10 are 4, 6, 8, 9
(vi) Since the number is an even number, the 7th digit must be either 0,2,4,6,8.
It cannot be 4,6,8 due to case (v) and it cannot be 0 due to case (iii), hence 7th digit is 2 and the 6th digit has to be 0.
(vii) 5th digit has to be either 6,8 or 9, and by making it as 6 or 8, there are less options and it doesn't satisfy other conditions and so 9 is the 5th digit.
The 1 - 4 digits has to be filled by 1,3,5,7. By probability and case (i), there are 2 combinations, they are 3531902 and 3135902.
A typical stop sign is in the shape of a regular octagon. The length of a side of a stop sign is 38.7 centimeters, and the radius is 50.6 centimeters. Calculate the area of the stop sign to the nearest square centimeter.
Answers
Answer:
7231cm^2
Step-by-step explanation:
Please kindly check the attached file for explanation.
Answer:
The area of the octagon stop sign to the nearest square centimetres is 187 cm²
Step-by-step explanation:
The stop sign is in the shape of a regular octagon, therefore, the area is given by the following relation;
Area of regular octagon = 2 × (Side Length)² × (1 + √2)
Where:
Side Length = 38.7 cm
Area of regular octagon = 2 × 38.7 × (1 + √2) = 186.86 cm²
The area of the octagon stop sign = 186.86 cm²
The area of the octagon stop sign to the nearest square centimetres = 187 cm².
Barton has 4 strawberries and Ona has 8.If they want to redistribute their strawberries so they each have an equal number ,how many strawberries should Ona give to barton?
Answers
Answer:
There are a total of
✔ 12
strawberries.
There are a total of
✔ 2
people.
The expression to find the mean, or balance point, is
✔ 12/2
✔ Ona
should give 2 strawberries to
✔ Barton
for the number of strawberries to be balanced.
Step-by-step explanation:
Barton only has four strawberries and needs two more, while Ona has eight and will share two.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Barton has 4 strawberries and Ona has 8 and they want to redistribute their strawberries so they each have an equal number.
We'll apply division by splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
In order for Ona and Barton to have the same number of strawberries, the total number of strawberries must be divided in two.
=(8 + 4) / 2
= 12 /2
= 6
Thus, Barton only has four strawberries and needs two more, while Ona has eight and will share two.
Learn more about the arithmetic operation here:
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Choose a positive number. Using this number as the base, evaluate it when the exponent is 3, 0, and -2. Show all work.
Answers
Positive number = 5
When Exponent is 3, it equals: 125
When exponent is 0, it equals: 1
When exponent is -2, it equals: 1/25 or .04
Answer:
1= 8
2= 1
3= ¼
Step-by-step explanation:
Let me choose 2. 2 becomes my base.
When the exponent is 3
1. 2³ = 2 * 2 * 2
= 8
When the exponent is 0
2. 2^0.
From the laws of indices. Exponent zero to any number = 1.
Therefore, 2^0 = 1
When the exponent is = -2
3. 2 `² = ¹/2 * 2
= ¼
Find the mode for the following numbers 8,9,11,8
Answers
Answer:
The mode is 8
Step-by-step explanation:
Answer: 8 is the mode.
Step-by-step explanation:
Basically when finding the mode you have to find the number that was used the most. So I’m this case 8 was listed twice which makes it the mode!
line m passes through the points
(-3, 5) and (1, -2) what's the slope of m?
Answers
Answer:
-7/4
Step-by-step explanation:
We can find the slope of a line passing through two points by using
m = (y2-y1)/(x2-x1)
= (-2 -5)/(1 - -3)
= -7/ (1+3)
= -7/4
Each school bus going on the field trip holds 36 students and for adults there are six Fields buses on the field trip how many people are going on the field trip
Answers
Answer:
240 people
Step-by-step explanation:
According to the given data,
In each bus,there are total number of 36 students and 4 adults
So, total 40 people are in one bus so...
As, there are six Fields buses
=>40 x 6
=240
Answer: Total 240 people are going on the field trip.
To calculate the total number of people going on the field trip, multiply the number of students and adults by the number of buses and sum the result, resulting in 240 people.
Explanation:The question relates to the calculation of the total number of people going on a field trip with a given number of students and adults per bus and a total number of buses. To find out how many people in total are going on the field trip, we need to multiply the number of students and adults by the number of buses and add up the results.
Each bus holds 36 students and 4 adults. With 6 buses on the field trip, we calculate the total number of people by multiplying the number of buses by the total capacity per bus (students plus adults): (36 students + 4 adults) × 6 buses.
So, the calculation is as follows:
40 people per bus × 6 buses = 240 people going on the field trip.
Find the missing terms. Hint: State "r" first
2, _____, ______, ______, 1250
Answers
Answer:
10,50,250
Step-by-step explanation:
multiply by 5 each time
Answer: 2, 10, 50, 250, 1250
Step-by-step explanation:
The given sequence is a geometric sequence. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 2
n = 5
T5 = 1250
The 5th term, T5 is expressed as
1250 = 2 × r^(5 - 1)
1250/2 = r^4
625 = r^4
5^4 = r^4
r = 5
The second term is
2 × 5 = 10
The third term is
10× 5 = 50
The fourth term is
50 × 5 = 250
Find the least common multiple of 7 3 2
Answers
Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sales over $3,000. Let ƒ(x) = .05x and g(x) = x − 3000. Write the composition (f o g)(x) and (g o f)(x). Which one represents Dale's commission?
Answers
Answer:
1. [tex]\( f\circ g(x)=0.05x-150[/tex]
2. [tex]\( g\circ f(x)=0.05x-3000[/tex]
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
[tex]\( f\circ g(x)=f(g(x)) \)[/tex]
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
f(x) = 0.05xg(x) = x - 3000[tex]f(g(x)=0.05(x - 3000)[/tex]
[tex]f(g(x))=0.05x-150[/tex]
2. The composition of the function
[tex]\( g\circ f(x)=g(f(x)) \)[/tex]
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:
[tex]g(f(x))=((0.05x)-3000)=0.05x-3000[/tex]
3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one:
[tex]f(g(x)=0.05(x - 3000)[/tex]
[tex]f(g(x))=0.05x-150[/tex]
PLEASE HELP IM DESPERATE
Answers
What is the diameter of a circle with the equation (x + 6)2 + (y − 4)2 = 16?
Answers
Answer:
8 units
Step-by-step explanation:
[tex] {(x + 6)}^{2} + {(y - 4)}^{2} = 16 \\ {(x + 6)}^{2} + {(y - 4)}^{2} = {4}^{2} \\ equating \: it \: with \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ {r}^{2} = {4}^{2} \implies \: r = 4 \\ d = 2r = 2 \times 4 = 8 \: units[/tex]
Hence, diameter of the circle is 8 units.
The price p and the quantity x sold of a certain product obey the demand equation p equals negative one fifth x plus 30 comma 0 less than or equals x less than or equals 150 (a) Express the revenue R as a function of x. (b) What is the revenue if 70 units are sold? (c) What quantity x maximizes revenue? What is the maximum revenue? (d) What price should the company charge to maximize revenue?
Answers
Answer:
The correct answer is a) R = = - [tex]\frac{1}{5}[/tex] [tex]x^{2}[/tex] + 30x; b) $ 1120; c) Maximum quantity is 75 units with maximum revenue being $1125; d) p = $15.
Step-by-step explanation:
Demand equation: p = - [tex]\frac{1}{5}[/tex]x + 30 , 0 [tex]\leq[/tex] x [tex]\leq[/tex] 150 ; where p is the price of the product and x is the quantity sold.
a) Revenue function by the problem is given to be R= p × x = - [tex]\frac{1}{5}[/tex] [tex]x^{2}[/tex] + 30x.
b) Revenue at x = 70 is given by 2100 - 980 = $ 1120.
c) For maximizing the R we differentiate it with respect to x and equate it to zero.
⇒ - [tex]\frac{2}{5}[/tex] x + 30 =0
⇒ x = 75.
As the second order derivative is negative at this point, this is the value of x that maximizes the revenue.
Maximum Revenue is at x = 75 and is equal to $1125.
d) Price charged by the company for maximum revenue is $15.
Please Help me i dont understand this.
2. (5 points) Write a recursive rule for the arithmetic sequence: 3.9, 8.2, 12.5, 16.8, 21.1, ...
Answers
Answer:
a subscript n=4.3(n-1)+3.9
Step-by-step explanation:
Sandy bought a soft drink for 4 dollars and 9 candy bars. She spent
a total of 49 dollars. How much did each candy bar cost?
answer choices
4c + 9 = 49
49 - 9 = 4c
49c + 4 = 9
9c + 4 = 49
Answers
The numbers by themselves represent the amount of dollars spent (4 and 49), but since you don’t know the amount of money each candy bar cost, you would put the amount of candy bars and a variable next to it to then solve ($5 per bar)