The x-axis of the graph is the upper limits of each class, while the y-axis is the cumulative frequency or cumulative relative frequency. The cumulative relative frequency for the last class is always equal to 1.
An ogive graph is a type of line graph that is used to show the cumulative frequency or cumulative relative frequency of a given set of data. To start, the data must be organized into classes with upper and lower limits. Once the data is organized, the ogive graph can be constructed. The x-axis of the graph is the upper limits of each class, while the y-axis is the cumulative frequency or cumulative relative frequency. Each plotted point on the graph will have an x-coordinate that is equal to the upper limit of the class. The cumulative relative frequency for the last class must always be 1, since all observations are less than or equal to the last class. To plot the points on the graph, start by finding the cumulative frequency or relative frequency for the first class. Then, for each subsequent class, add the cumulative frequency or relative frequency to the cumulative frequency or relative frequency of the previous class. Once all the points are plotted, draw a line connecting the points to form an ogive graph.
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a plane was flying to springfield. with a tailwind, the plane averaged 163 miles per hour. on the return trip, the plane averaged 127 miles per hour flying back in the same wind. what is the speed of the wind? what is the speed of the plane with no wind?
The wind speed and plane speed is 11 and 96 mph.
It is required to find the speed of the plane in still air and the speed of the wind.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let plane speed be "p".
Let wind speed be "w".
According to given question we have,
p + w = 107 mph
p - w = 85 mph
By the method of elimination we get,
2p = 192
p = 96 mph
The plane speed is 96 mph.
Solve for "w":
p + w = 107
96 + w = 107
w = 11 mph
The wind speed is 11 mph.
Therefore, the wind speed and plane speed is 11 and 96 mph.
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A system of linear equations is given by the graph.
What is the system shown?
O
O
A. y=x
y=-3x - 5
B. y=-x
y =
C. y =
x - 5
x
y=-2 - 5
D. y=-x
y = x - 5
The system of equations is,
y = 2/3(x) and y = (-3/4)x -5.
The correct option is A.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Two lines are intersecting each other.
Line 1 passes through two points (0, 0) and (3, 2).
The equation of the line is,
y = 2/3(x)
And line 2 passes through (0, -5) and (4, -2).
The equation of the line is,
y = (-3/4)x -5.
Therefore, the equations are y = 2/3(x) and y = (-3/4)x -5.
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if you laid a billion dollars worth of 10-dollar 10 -dollar bills side by side, how many dollar bills would you use? how many miles long would the trail be? (the width of a 10-dollar 10 -dollar bill is 2.61 inches.) is 2.61 inches.) (give your answers to the nearest whole number.)
The correct answer is it will stretch far 59.3 lakh miles .
Given that,
If a billion 10-dollar bills were placed side by side, the total value would be $1.
To find :What amount of dollars would you use? How far would the trail stretch?
A dollar bill is 2.61 inches wide.
The dimensions of a billion dollar bill are 2.61 x 1,000,000,000 inches.
Divide this by 12 to convert to feet: 2.61 x 1,000,000,000 / 12.
Divide that by 5280 to convert it to miles: 2.61 x 1,000,000,000 x 12 /5280.
(Instead of 2.61 inches, use 6.14 inches if you meant to say it from end to end, the long way.)
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what is the arc length of an arc with a central angle of 11pi/6 radians in a circle with a radius of 18cm? round the nearest whole number. show all work
The measure of the arc length of the sector will be 103.62 centimeters.
What is the arc length of the sector?Let r be the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The central angle is 11π / 6 radian and the radius is 18 cm. Then the measure of the arc length is given as,
Arc = {(11π / 6)/2π} 2π (18)
Arc = 0.9167 x 2 x 3.14 x 18
Arc = 103.62 cm
The measure of the arc length of the sector will be 103.62 centimeters.
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need help finding x y and z
Answer:
x= 67
y=40
z=40
Step-by-step explanation:
A=C B=D
67=X Y&?= Z&73
73+ x aka(67) = 140
180-140= y = 40
A toy manufacturer as Mrs. 6% of its products are defective if it produces 550 toys in one day then how many will be defective
Therefore , the solution of the given problem of linear equation comes out to be Defective toys, D = 33 toys.
A linear equation is precisely what?A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is usually referred regarded as a "mathematical formula integrating multiple variables," even though y or y are different parts. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b.
Here,
If a toy company makes 550 toys in a single day, 33 of those products will be flawed.
Let D represent the faulty toys.
The sum of the toys should be T.
Given the upcoming information:
A day's worth of production results in 550 toys overall.
To calculate how many toys would be flawed after production, use the formula:
=> D = 6/100 * T
Using the parameters provided, we can calculate D as follows:
=> D = 6/100 * 550
=> D = 0.06*550
=> Defective toys, D = 33 toys.
Therefore , the solution of the given problem of linear equation comes out to be Defective toys, D = 33 toys.
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Find the reciprocals of the numbers below.
The reciprocal of 19 is [?]
The reciprocal of 1/6 is[?]
Answer: 1/19, 6/1 (6)
Step-by-step explanation: To find the reciprocal of a fraction, switch the numerator and the denominator (the top and bottom of the fraction, respectively). So, simply speaking, the reciprocal of a/b is b/a. To find the reciprocal of a number, divide 1 by the number. So for example, the reciprocal of 5 would be 1/5
consider the grid of points shown here. suppose that, starting at the point labeled a, you can go one step up or one step to the right at each move. this procedure is continued until the point labeled b is reached. how many different paths from a to b are possible?
The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.
Total moves required are 7, as follows:
Three steps up as well as four steps right.
Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.
There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).
For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.
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select the two values of x that are roots of this equation x^2-5x+5=0
The solution of the quadratic equation is [tex]x = \dfrac{5\pm\sqrt5}{2}[/tex].
A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the quadratic equation is x²-5x+5=0. The equation can be solved as below:-
x²-5x+5=0
a = 1 , b = -5 , c = 5
[tex]x = \dfrac{-b \pm\sqrt{(b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{5\pm\sqrt{25 - 4\times1\times5}}{2}[/tex]
[tex]x = \dfrac{5\pm\sqrt5}{2}[/tex]
The value of x for the quadratic equation will be [tex]x = \dfrac{5\pm\sqrt5}{2}[/tex].
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Beth is making fruit salad. She adds 5 grapes for every 2 strawberries. If she uses 14 strawberries, how many grapes will she use?
The number of grapes for 14 strawberries is 10
How to determine the number of grapesFrom the question, we have the following parameters that can be used in our computation:
She adds 5 grapes for every 2 strawberries.
So, we have the ratio to be
Grapes : Strawberries = 5 : 2
Multiply the ratio by 7
So, we have the following representation
Grapes : Strawberries = 10 : 14
This means that 10 grapes are required for 14 strawberries
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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 16
Blue 17
Green 5
Yellow 15
Purple 14
If the spinner is spun 200 more times, about how many times would you expect to land on blue? Round your answer to the nearest whole number.
The probability of having a blue in the spin is given as; 17/200.
How to calculate probability?Probability can be calculated as the ratio of the number of favorable outcomes to the number of possible outcomes in a given scenario. It is usually expressed as a decimal or a fraction between 0 and 1.
We know that in this case we are going to look at the table to see the number of times that we land a blue.
If the total number of the outcomes is 200 and the number of the expected outcomes is 17. We would have the probability as P(blue) = 17/200.
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new car is purchased for 21100 dollars. The value of the car depreciates at 10.5% per year. What will the value of the car be, to the nearest cent, after 6 years:
The value of the car can be, to the nearest cent, after 6 years is, 108454 cents
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
New car is purchased for 21100 dollars
The value of the car depreciates at 10.5% per year
The value of the car after 6 years = ?
After 1 year,
Value = 21100 - 10.5% of 21100
= 21100 - (10.5x21100)/100
= 21100 - 0.105x21100
= 21100(1 - 0.105)
After 2 year,
Value = 21100(1 - 0.105) - 10.5% of 21100(1 - 0.105)
= 21100(1 - 0.105) - 0.105x21100(1 - 0.105)
= 21100(1 - 0.105)(1 - 0.105)
= 21100(1 - 0.105)²
Similarly, After n years,
Value = 21100(1 - 0.105)ⁿ
So, After 6 years,
Value = 21100(1 - 0.105)⁶
= 21100x0.895⁶
= 21100x0.514
= $10845.4
It is known that,
1 dollar = 100 cents,
So, value in cents after 6 years,
⇒ 10845.4x100
⇒ 108454
Hence, the value after 6 year is 108454 cents
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You spin the spinner once.
3
1
Submit
2
What is P(even)?
Write your answer as a fraction or whole number.
The probability that the spinner will stop at an even value is: P(even) = 1/3.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. This is the fundamental theory of probability, which is applied to the probability distribution.
The probability that the spinner will stop at an even value is:
P(even) = number of even numbers on spinner / total number on spinner
P(even) = 1 / 3
Hence, the probability that the spinner will stop at an even value is: P(even) = 1/3.
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What is the period of the function?
4
-8
-6
Enter your answer in the box.
-2
2
0
-2
АУ
the
2
4
6
X
The period of the function graphed is 4
What is the period of trigonometric function?The period of a trigonometric function is the length of one complete cycle of the function.
For the common trigonometric functions (sine, cosine, tangent, cotangent, secant, cosecant), the period is 2π for sine and cosine and π for the others.
In the graph the value in the domain for the function to make a complete oscillation is 4 hence the period is 4
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HELP PLEASEEEEEEEEEEE i will give brainliest<33
Answer:
The unit rate of pages per hour is 39 pages and the unit rate of hour per pages is 1/39 hours
Step-by-step explanation:
We can solve this problem using proportion.
From the question; Leo reads 13 pages in 1/3 hours.
The first part of the question is to find the unit rate for pages per hour.
To find this;
Let x = the number of pages read in 1 hour
13 pages = 1/3 hours
x = 1 hour
Cross-multiply
1/3 × x = 13 × 1
= 13
Multiply both-side of the equation by 3
× 3 = 13× 3
x = 39 pages
Therefore, the number of pages read in 1 hour is 39 which implies the unit rate for pages per hour is 39
For the second part of the question, we are to find the unit rate for hours per page, that is; how many hours can he use to read a page.
Let x = the number of hour use to read a page
13 pages = 1/3 hour
1 pages = x
Cross-multiply
13x = 1/3
To get the value of x, we will divide both-side of the equation by 1/13
13x × = ×
x = hour
Therefore, the number of hour taken to read 1 page is , which implies the unit rate of hours per page is
a 16 ounce box of cereal costs $4.00, and a 20 ounce box of cereal costs $4.50. which size box has a lower price per ounce?
0.25 is greater than 0.225, the 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal.
The 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal. To calculate the price per ounce of each box of cereal, we can divide the total cost of the box by the total number of ounces in that box. For the 16 ounce box of cereal, the equation would be 4.00/16 = 0.25 per ounce. For the 20 ounce box of cereal, the equation would be 4.50/20 = 0.225 per ounce. Because 0.25 is greater than 0.225, the 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal.
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X^2-14x=-49
Method 1:Factoring
I’m confused how on earth to do this? If someone could explain I would love that
Step-by-step explanation:
Move terms to the left side[tex]x {}^{2} - 14x = - 49[/tex]
[tex]x {}^{2} - 14x - ( - 49) = 0[/tex]
Use sum-product patternIdentify a, b and c in your equation and then find two numbers that when multiplied equal c, and when added equal b.
[tex]x {}^{2} - 14x + 49 = 0[/tex]
factorWrite your equation in factored form.
[tex](x - 7) {}^{2} = 0[/tex]
Set the factor(s) equal to zeroHere the two factors are the same, so there will be only one solution.
[tex]x - 7 = 0[/tex]
SolveRearrange and isolate the variable to find each solution.
[tex]x = 7[/tex]
what are the gametes that can be produced by the following individuals? a. bgbg(1 point) b. bbgg x bbgg (1 point)
The gametes that can be produced by individual bgbg are B, and G, and the gametes that the offspring can produce are BB, BG, BG, BG, BG, BG, BG, and GG.
a. bgbg
The individual bgbg can produce gametes that are either B or G, as they carry one allele of each. Therefore, the gametes that can be produced by this individual are:
B, G
b. bbgg x bbgg
The individuals bbgg x bbgg are heterozygous for two different traits (B and G). In this cross, each parent can contribute either a B or a G allele to the offspring.
There are four possible combinations of gametes for each parent, for a total of 16 possible offspring combinations:
BB x BB = B offspring: BB, BG, BG, BB
BB x BG = B offspring: BB, BG, BG, BG
BB x GG = B offspring: BG, BG, BG, BG
BG x BG = B offspring: BG, BG, BG, BG
BG x GG = G offspring: BG, BG, BG, GG
GG x GG = G offspring: GG, GG, GG, GG
So, the gametes that can be produced by the offspring are:
BB, BG, BG, BG, BG, BG, BG, and GG
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what was the ending balance? a sample bank statement. responses $597.35 $597.35 $715.26 $715.26 $751.58 $751.58 $880.88 $880.88
The final balance of the bank statement was $880.88. This amount reflects deposits, withdrawals, fees, and interest accrued during the statement period.
The final balance of a bank statement is the amount of money that is in the account after all deposits, withdrawals, fees, and interest have been accounted for during the statement period. To calculate the ending balance, start with the beginning balance and then add any deposits that were made during the statement period. Then, subtract any withdrawals, fees, and interest that were charged during the statement period. The final balance will be the amount that remains after all transactions have been accounted for. In this example, the ending balance was $880.88.
The complete question:
what was the ending balance? a sample bank statement.
A) $597.35
B) $715.26
C) $751.58
D)$880.88.
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16 days 5 hours 23 minutes. how many minutes and hours come out in total?
Answer:
389 hours and 23 minutes
Step-by-step explanation:
16x24=384
384+=5=389
and 23 minutes
Using a list of the radical expressions for numbers between 1 and 100 that will reduce, create a list of the reduced radical values. The values should be either a whole number or a radical expression.
The radical expression whose value is a whole number will be √2, √3, √4, √5, √6, √7, √8, √9, √10, ∛2, ∛3, ∛4, the fourth root of 2 and 3, the fifth root of 2, and the sixth root of 2.
What is the simplest radical form?If the power of the variable "a" is b/c. Then the simplest radical form of the expression will be given as,
[tex]\rm \left ( a \right )^{\rm \frac{b}{c}} = \rm \sqrt[\rm c]{\rm a^b}[/tex]
Using a list of the radical expressions for numbers between 1 and 100 will reduce, create a list of the reduced radical values.
The number whose square lies between 1 to 100 is given as,
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
The number whose cube lies between 1 to 100 is given as,
2³ = 8
3³ = 27
4³ = 64
And some other values are given as,
2⁴ = 16, 2⁵ = 32, 2⁶ = 64, and 3⁴ = 81
The radical expression whose value is a whole number will be √2, √3, √4, √5, √6, √7, √8, √9, √10, ∛2, ∛3, ∛4, the fourth root of 2 and 3, the fifth root of 2, and the sixth root of 2.
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Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles
Time taken by Miguel car to drive is, 1.6 hour.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.
We know that;
⇒ Speed = Distance / Time
⇒ Time = Distance / Speed
Here, Speed = 53 miles per hour
Distance = 84.8 miles
Hence, We get;
⇒ Time = 84.8 / 53
⇒ Time = 1.6 hour
Thus, Time taken by Miguel car to drive is, 1.6 hour.
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investigators are interested in comparing the mean hours to recovery after surgery for two different procedures. participants were randomized to receive one of the two procedures and then followed to full recovery. what type of study is this?
The study is a randomized controlled trial (RCT) study.
In an RCT study, participants are randomly assigned to either the treatment group or the control group. The treatment group receives the intervention (in this case, one of the two surgery procedures) being studied, while the control group does not receive the intervention.
The participants are then followed to observe the outcome of interest (in this case, the hours to recovery after surgery).
The goal of an RCT study is to determine if the intervention has an effect on the outcome. By randomly assigning participants to the treatment and control groups, any observed differences in the outcome between the two groups can be attributed to the intervention.
This helps to control for other factors that may influence the outcome and reduces the risk of bias in the results.
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A troop leader recorded whether the members of two troops prefer hiking or swimming. The troop leader plans to create a two-way table to display the results.
Which variables can the troop leader use as the row and column headings of the table?
The troop leader can use the two categories of preference (hiking or swimming) as the row and column headings of the table.
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
The troop leader can utilize the two preference categories (hiking or swimming) as the table's row and column headings.
The number of members who prefer each activity can be recorded in the cells of the table to show the distribution of preferences within each troop and the comparison between the two troops.
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what is the image of -6 -3 after a reflection over the line y =-x
Answer: i believe its -6, 3
(if im wrong pls inform me :3
a scientist looks at small pond organisms using a microscope. in his view, one of the organisms is 2.2 cm long when magnified to 100 times its actual size. What is its actual length, in mm?
The actual length of Organism is 0.22 mm.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure.
Given:
The size of Organisms is 2.2 cm when magnified to 100 times its actual size.
So, the actual size in cm
= 2.2/ 100
= 0.022 cm
Now, we know 1 cm = 10 mm
= 0.022 x 10
= 0.22 mm
Hence, the actual size is 0.22 mm.
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.......................
Answer:
hi
Step-by-step explanation:
Kendall has only quarters and dimes in her pocket. The total value of these coins is $1.50. The equation below can be used to find q, the number quarters, and d, the number of dimes in her pocket. If Kendall has 4 quarters in her pocket, how many dimes are in her pocket? 25g + 10d = 150
Answer: We can use the equation to find the number of dimes in Kendall's pocket:
25g + 10d = 150
25 * 4 + 10d = 150
100 + 10d = 150
10d = 50
d = 5
So Kendall has 5 dimes in her pocket.
Step-by-step explanation:
a large lot of manufactured items contains 10% with exactly one defect, 7% with more than one defect, and the remainder with no defects. ten items are randomly selected from this lot for sale. if y1 denotes the number of items with one defect and y2, the number with more than one defect, the repair costs are y1 3y2. find the mean, in dollars, and variance of the repair costs.
The mean of the repair cost is 2.1 dollars and the variance of the repair cost is 0.
Let's call the number of items with no defects x. Then, we have:
x + y1 + y2 = 10
And we know that:
[tex]y1 = 10 * 0.10 = 1[/tex]
y2 =[tex]10 * 0.07 = 0.7[/tex]
x = 10 - y1 - y2 = 10 - 1 - 0.7 = 8.3
So, the expected number of items with one defect is E(y1) = 1 and the expected number of items with more than one defect is E(y2) = 0.7.
The expected repair cost is [tex]E(cost) = E(y1) * 3 * E(y2) = 1 * 3 * 0.7 = 2.1.[/tex]
The variance of the number of items with one defect is Var(y1) = E(y1^2) - [tex](E(y1))^2 = 1^2 - 1^2 = 0[/tex] and the variance of the number of items with more than one defect is [tex]Var(y2) = E(y2^2) - (E(y2))^2 = 0.7^2 - 0.7^2 = 0.[/tex]
Using the formula for the variance of a sum of independent variables, we can calculate the variance of the repair cost as:
[tex]Var(cost) = Var(y1 * 3 * y2) = 3^2 * Var(y1) * Var(y2) = 9 * 0 * 0 = 0[/tex]
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7 a 96 cm long line segment is divided into 3 parts in the ratio 2:9:5 . what is the length of the smallest part?
The length of the smallest part of the line segment is 12 cm.
The line segment of length 96 cm is divided into 3 parts with the ratio of 2:9:5. The given ratio is a part-to-whole ratio. We can find the lengths of the parts by applying the formula:
Part = Whole × Ratio
Part 1 = 96 cm × (2/16)
= 12 cm
Part 2 = 96 cm × (9/16)
= 54 cm
Part 3 = 96 cm × (5/16)
= 30 cm
Therefore, the length of the smallest part of the line segment is 12 cm.
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