Answer:
10
20,00/2000=10
Step-by-step explanation:
Hope this helps! =D
Mark me brainliest! =D
Answer: 10 tons.
Step-by-step explanation: There are 2000 pounds in one ton. Hence:
20000 lb ÷ 2000 lb/ton = 10 tons
The box plots summarize the attendance for the spring musical and the fall musical. Each musical was performed for six evenings. Which statement best describes the data represented in the box plots?
The statement that best describes the data represented in the box plots is option B.
What is box plot?A box plot, also known as a box-and-whisker plot, is a graphical representation of a set of numerical data through their quartiles. It is useful for visualizing the distribution of data and identifying outliers.
The box in the plot represents the interquartile range (IQR), which is the range between the first and third quartiles (Q1 and Q3), and the line inside the box represents the median (Q2).
The 1st quartile is 135. The 3rd quartile is 195. To find the interquartile, you would subtract the 3rd quartile from the 1st quartile. 195-135=60. The interquartile range for the spring musical is 60
Learn more about boxplot on
https://brainly.com/question/14277132
#SPJ1
|4x-4(x+1)|=4
put all answers for x on number line
In the bottom, To see the number line of |4x-4(x+1)|=4.
Absolute Value:The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.
The expression is:
|4x-4(x+1)|=4
First simplify in the absolute value
Distribute
|4x−4x-4|=4
|-4|=4
Taking the absolute value
4 =4
This is always true
X is all real numbers
Pick any value for x and it will be a true statement
Put the value of x=0
|4*0−4(*0+1)|=4
|-4|=4
Let taking a value of x = 5
|4*5−4(5+1)|=4
|20−24|=4
|−4|=4
Learn more about Absolute value at:
https://brainly.com/question/1301718
#SPJ4
Point Q is the center of a circle passing through points A, B, C
The center will be on the line segment CA because, as we already know, a circle's diameter is a chord that passes through its center.
Therefore, the answers are CA and diameter.
How do we calculate?we have that in the question, a circle with center 'O' is passing through three A, B and C, where ∠B is a right angle.
In the circumscribed circle, we have the converse of the Thales' theorem, which states that -
if A, B, and C are distinct points on a circle where angle ∠ABC is a right-angle, then the line AC will be a diameter of the circle.
The given information is drawn in the attached figure.
Applying the converse of Thales' Theorem, we have AC will be a diameter of the circle.
As the longest side (hypotenuse) of a right-angled triangle is the opposite side of the right-angle, CA is the longest side of ABC.
The longest side of the triangle equals the diameter of the circle because CA is likewise a diameter of the circle.
Thus, the center will lie on the line segment CA and the longest side of the triangle is equal to the diameter of the circle.
Learn more about Thales' Theorem at:
https://brainly.com/question/14417137
#SPJ1
#complete question:
Point O is the center of a circle passing through points A, B, and C. ∠B is a right angle.
The center of the circumscribed circle lies on line segment, (options: AB,BC, or CA) and the longest side of the triangle is equal to the (options: radius, diameter, or circumference) of the circle.
From the cyclic quadrilateral, If ∠ADC=120° and AB is a diameter, then ∠BAC=30°
Correct option is A
Solving the cyclic quadrilateralGiven that: ∠ADC=120
∠ACB=90° (Diameter of the circle subtends an angle of 90°)
Consider cyclic quadrilateral ABCD:
∠ADC+∠ABC=180° (sum of opposite angles of a cyclic quadrilateral is 180°)
Thus, ∠ABC=180°−120°=60°
In △ABC:
∠BAC=180°−∠ACB−∠ABC .....(Sum of three angles of a triangle is 180°)
∠BAC=180°−90°−60°=30°
Answer: ∠BAC=30°
Learn more on cyclic quadrilaterals here https://brainly.com/question/27884509
#SPJ1
Point Q is the centre of a circle passing through the points A, B, C and D taken in order. If ∠ADC=120° and AB is a diameter, then ∠BAC=
A 30°
B 40°
C 45°
D50°
What is an equation of the line that passes through the point ( − 2 , − 2 ) and is parallel to the line 5x − y = 4 ?
Answer:
(-2,-2)
Step-by-step explanation:
To find the equation of the line that passes through the point (-2,-2) and is parallel to the line 5x - y = 4, we need to first find the slope of the given line. We can rearrange the given equation into slope-intercept form y=5x-4, where the slope is 5.
Since parallel lines have the same slope, the slope of the line we want to find is also 5. We can use the point-slope formula y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.
Substituting m=5, x1=-2, and y1=-2, we get:
y-(-2) = 5(x-(-2))
y+2 = 5x+10
y = 5x+8
Therefore, the equation of the line that passes through the point (-2,-2) and is parallel to the
For the line y = 1 — 4x, create a table to show the values of x and y where x is from -2 to 2.
Answer:
Answers in the picture. Thanks
To create a table for the line y=1-4x from x=-2 to x=2, we substitute in each x value into the equation, solve for y, and display these pairs in a table. The pairs are (-2, 9), (-1, 5), (0, 1), (1, -3), and (2, -7).
Explanation:
The equation of the line is y = 1 - 4x. To create a table showing the values of x and y where x is from -2 to 2, we need to substitute each value of x into the equation, solve for y, and then organize the results in a table.
When x = -2, y = 1 - 4*(-2) = 1 + 8 = 9When x = -1, y = 1 - 4*(-1) = 1 + 4 = 5When x = 0, y = 1 - 4*0 = 1When x = 1, y = 1 - 4*1 = 1 - 4 = -3When x = 2, y = 1 - 4*2 = 1 - 8 = -7
So, the table representing these values would look like this:
x y
-2 9
-1 5
0 1
1 -3
2 -7
https://brainly.com/question/32634451
#SPJ2
4⁄5 x + 15 = 3⁄10 x + 21
Answer:
x = 12
Step-by-step explanation:
If you're bored of solving equations the normal way, why not try this fun and easy method? Just follow these simple steps:
Subtract 3/10 x from both sides to eliminate the x term on the right side. This is like getting rid of the annoying person who always sits next to you in class.
4/5 x - 3/10 x + 15 = 21
Simplify the left side by finding the common denominator and combining the fractions. This is like putting all your candy in one bag and eating it faster.
(8/10 - 3/10) x + 15 = 21
5/10 x + 15 = 21
Subtract 15 from both sides to isolate the x term on the left side. This is like taking away your allowance and making you do chores.
5/10 x = 21 - 15
5/10 x = 6
Multiply both sides by 10/5 to solve for x. This is like giving you a magic wand that makes everything easier.
(10/5) (5/10) x = (10/5) (6)
x = 12
This is the solution of the equation. You can check it by plugging it back into the original equation and verifying that both sides are equal. Or you can just trust me
✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧
Find the area of an equilateral triangle with a perimeter of 45 inches.
The area of the equilateral triangle is approximately 58.78 square inches.
An equilateral triangle has all sides equal, so we can divide the perimeter by 3 :
45 inches ÷ 3 = 15 inches
Therefore, each side of the equilateral triangle measures 15 inches.
Area = (√3 / 4) x (side length)²
After putting the values,
Area = (√3 / 4) x 15 x 15 square inches
Area = (√3 / 4) x 225 square inches
Area = 58.78 square inches
Learn more about equilateral triangle
https://brainly.in/question/2036108
8,643 rounded to the nearest hundred
Answer:
Step-by-step explanation:
8600
Answer:
8,600
Step-by-step explanation:
"nearest hundred", meaning 643 and since the tens place is under 50 it is closer to 600 then 700 making it 8,600
cupcake delight shop made 4 1/2 as much revenue on doughnuts as muffins. if total sales were 44,000 what dollar amount of each was sold?
The revenue from muffins was $8,000. To find the revenue from doughnuts: 4.5x = 4.5 * 8,000 = $36,000 Therefore, the cupcake delight shop sold $8,000 worth of muffins and $36,000 worth of doughnuts.
Let's use the given terms and set up a system of equations to solve this problem:
Let x be the revenue from muffins, and y be the revenue from doughnuts. We know the following:
1. y = 4.5x (Cupcake Delight Shop made 4 1/2 times as much revenue on doughnuts as muffins)
2. x + y = 44,000 (Total sales were $44,000)
Now we'll solve the system of equations step-by-step:
Step 1: Replace y with 4.5x in the second equation (using equation 1):
x + 4.5x = 44,000
Step 2: Combine the x terms:
5.5x = 44,000
Step 3: Divide both sides by 5.5 to solve for x:
x = 8,000
Step 4: Plug x back into equation 1 to find y:
y = 4.5 * 8,000
y = 36,000
So, Cupcake Delight Shop sold $8,000 worth of muffins and $36,000 worth of doughnuts.
to learn more about revenue click here:
https://brainly.com/question/23798931
#SPJ11
The dollar amount of muffins sold is $8,000, and the dollar amount of doughnuts sold is $36,000.
To solve this problem, let's assign variables to the revenue for doughnuts and muffins:
Let D = revenue from doughnuts
Let M = revenue from muffins
We are given that the shop made 4 1/2 times as much revenue on doughnuts as muffins:
D = 4.5M
We are also given that the total sales were $44,000:
D + M = 44,000
Now, we can solve for the dollar amount of each item sold:
Replace D with 4.5M in the second equation:
4.5M + M = 44,000
Combine like terms:
5.5M = 44,000
Divide by 5.5 to isolate M:
M = 44,000 / 5.5
M = 8,000
Plug the value of M back into the first equation to find the value of D:
D = 4.5M
D = 4.5 × 8,000
D = 36,000.
For similar question on dollar.
https://brainly.com/question/13199393
#SPJ11
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The answer is "The IQR is the best measure of variability, and it equals 7. because the best measure of variability for the data is the IQR, and its value is 7
What is the linear function?A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
According to the given information:The given plot displays the distribution of the number of roses purchased per day at a grocery store. The best measure of variability for this data would be the interquartile range (IQR) since it is robust to outliers and provides a measure of the spread of the middle 50% of the data.
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the lower half of the data, and Q3 is the median of the upper half of the data.
From the plot, we can see that there are a total of 11 data points: one at 1, two at 2, three at 6, three at 7, two at 8, and three at 9. The median (Q2) is 7 since it is the middle value when the data are arranged in order.
To find Q1, we need to find the median of the lower half of the data. Since there is one data point below 6 and three data points at 6, the lower half of the data consists of four points: 1, 2, 6, and 6. The median of this set is (1+2)/2 = 1.5.
To find Q3, we need to find the median of the upper half of the data. Since there are two data points at 8 and three data points at 9, the upper half of the data consists of five points: 8, 8, 9, 9, and 9. The median of this set is (8+9)/2 = 8.5.
Therefore, the IQR is Q3-Q1 = 8.5-1.5 = 7.
Therefore, the answer is "The IQR is the best measure of variability, and it equals 7. because the best measure of variability for the data is the IQR, and its value is 7
To learn more about the linear function visit:
brainly.com/question/29612131
#SPJ1
_ indicates a monitor’s ability to display colors by comparing the light intensity of the brightest white to the darkest black. multiple choice
Contrast ratio is a measurement that indicates the ability of a monitor to display colors by comparing the brightness of the brightest white to the darkness of the darkest black. The correct option is A.
The contrast ratio is usually expressed as a ratio, such as 1000:1 or 5000:1, with the first number indicating the brightness of the white and the second number indicating the darkness of the black. The higher the contrast ratio, the better the monitor is able to display a wide range of colors and shades. A high contrast ratio is important for tasks such as image and video editing, as it allows for more accurate color representation and contrast in the final product.
Learn more about measurement
https://brainly.com/question/4725561
#SPJ4
Full Question ;
This indicates the monitor's ability to display colors by comparing the light intensity of the brightest white to the darkest black.
Question 1 options:
A) Contrast ratio
B) Dot Pitch
C) Active display area
D) Resolution
Contrast ratio Indicates a monitor's ability to display colors by comparing the light intensity of the brightest white to the
darkest black. The term you are looking for is "contrast ratio."
The brightness of the brightest shade (white) to the deepest shade (black) that the system is capable of producing is
measured as the contrast ratio (CR), a display system characteristic.
A display's desired feature is a high ratio of contrast. It resembles dynamic range in certain ways.
Ratings provided by various manufacturers of display devices are not always comparable to one another due to
differences in method of measurement, operation, and unstated variables.
This is because there is no official, standardised way to measure contrast ratio for a system or its parts, nor is there a
standard for defining "Contrast Ratio" that is accepted by any standards organisation.[1] While other designers have
more frequently taken the effect of the environment into account, manufacturers have historically preferred
measurement methods that isolate the gadget from the system.
This is a key aspect of monitor performance, as it directly impacts the overall image quality and color reproduction.
for such more question on contrast ratio
https://brainly.com/question/21124528
#SPJ11
Paul considers investing $8,000 in three different accounts for 6 years.
Option A: 5% simple interest
Option B: 4.5% interest compounded continuously
Option C: 4.75% interest compounded yearly
After 6 years, Option B, to the nearest dollar, will be worth
$
more than Option A and
$
less than Option C.
linearexponentialquadraticconstant
Option A is a
function while Options B and C are
functions. While the
function gains
value the fastest initially, over time the
functions will gain value faster.
Answer:
Step-by-step explanation:
Option A: 8,000(1+6(0.05))
is equal to 10,400
Option B is 10,479.72
Option C: 8,000(1+0.0475)^6
is equal to 10,568.52
making B about $80 more than A and $89 less than C
18 Two vans leave a campground at the
same time. One is traveling north at a
speed that is 10 miles per hour faster
than the other, which is traveling south.
After 2.5 hours, the vans are 255 miles
apart. What is the speed in miles per hour
of the van traveling south?
F 56
G 46
H 66
J 36
The speed of the van traveling south is 46 miles per hour. The correct option is (G) 46.
To solve this problemLet's call the speed of the van traveling south "x" in miles per hour. Then, the speed of the van traveling north is "x + 10" miles per hour.
We know that the vans have been traveling for 2.5 hours, and that they are 255 miles apart. This means that the total distance traveled by both vans is 255 miles:
Distance traveled by the van traveling south + Distance traveled by the van traveling north = 255 miles
Using the formula distance = speed × time, we can express the distances traveled by each van in terms of their speeds and the time they traveled:
Distance traveled by the van traveling south = x × 2.5 = 2.5x
Distance traveled by the van traveling north = (x + 10) × 2.5 = 2.5x + 25
Substituting these expressions into the equation above, we get:
2.5x + 2.5x + 25 = 255
Simplifying this equation, we get
5x + 25 = 255
Subtracting 25 from both sides, we get:
5x = 230
Dividing both sides by 5, we get:
x = 46
Therefore, the speed of the van traveling south is 46 miles per hour. Answer: (G) 46.
Learn more about distance here : brainly.com/question/26046491
#SPJ1
Convert the following decimals to percents.
0.956=_%
Answer: 0.956 * 100% = 95.6%
Step-by-step explanation: To convert a decimal to a percent, you can multiply the decimal by 100 and add a percent sign.
So, to convert 0.956 to a percent:
0.956 * 100% = 95.6%
Therefore, 0.956 is equivalent to 95.6%.
Answer:
95.6%
Step-by-step explanation:
In order to solve this, you can just move the decimal point two places to the right to get the answer!
How many times can 3.6 go into 80
Answer:
22.2
Step-by-step explanation:
Answer:
3.6 can go into 80 22 times.
Step-by-step explanation:
How can i do parallelogram shown below has an area of
15
1515 units
2
2
The height of given parallelogram is 5 units.
Given that, the parallelogram shown below has an area of 15 units.
The base is 3 units.
We know that, the area of a parallelogram is Area = Base × Height
Here, Area = 3×Height
15 = 3×Height
Height = 15/3
Height = 5 units
Therefore, the height of given parallelogram is 5 units.
Learn more about the area here:
https://brainly.com/question/27683633.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
The parallelogram shown below has an area of 15 units. Find the missing height.
recently, mario's tantrums seem to last longer. which data recording procedure might be the best one to use to determine this? duration partial interval whole interval time sampling
Answer: Time sampling
Step-by-step explanation:
It would be time sampling to see how long his tantrums are lasting and by keeping samples it should show you how long most tantrums will last.
I did this so i promise its right! give brainliest or rate and like please
how many paths from $a$ to $b$ consist of exactly six line segments (vertical, horizontal or inclined)?
There are 14,400 paths from $a$ to $b$ consisting of exactly six line segments (vertical, horizontal or inclined).
Assuming that the distance between adjacent lattice points is equal to 1 unit, we can find the number of paths from [tex]a$ to $b$[/tex] consisting of exactly six line segments by using the concept of permutations and combinations.
To reach [tex]b$ from $a$[/tex] using exactly 6 line segments, we need to make 3 horizontal and 3 vertical moves, with each move covering a distance of 1 unit. The order in which we make these moves is important.
Out of the 6 moves, we can choose 3 moves to be horizontal and the remaining 3 to be vertical. The number of ways of doing this is given by the combination formula:
[tex]$C(6,3) = \frac{6!}{3!3!} = 20$[/tex]
Once we have selected the 3 horizontal moves and 3 vertical moves, we can arrange them in any order. The number of ways of doing this is given by the permutation formula:
[tex]$P(6,6) = 6! = 720$[/tex]
Therefore, the total number of paths from[tex]$a$ to $b$[/tex]consisting of exactly six line segments (vertical, horizontal or inclined) is given by the product of the number of ways of choosing 3 horizontal moves out of 6, and the number of ways of arranging the 6 moves:
[tex]$20 \times 720 = 14,400$[/tex]
Hence, there are 14,400 paths from $a$ to $b$ consisting of exactly six line segments (vertical, horizontal or inclined).
Learn more about horizontal moves
https://brainly.com/question/9083871
#SPJ4
There are 4096 paths from point a to point b that consist of exactly six line segments (vertical, horizontal, or inclined).
We can use the concept of permutations and combinations.
First, we need to consider the possible directions for each line segment:
vertical, horizontal, and inclined (assume inclined in both the top-right and bottom-right directions).
So there are 4 possible directions for each segment.
Since we have 6 line segments, we need to find the total number of paths that can be formed by arranging the 4
directions for the 6 segments.
We can use the formula for permutations with repetition, which is [tex]n^r[/tex], where n is the number of possible directions (4)
and r is the number of segments (6).
Plug in the values into the formula:
[tex]4^6[/tex] = 4096.
So, there are 4096 paths from point a to point b that consist of exactly six line segments (vertical, horizontal, or
inclined).
for such more question on line segments
https://brainly.com/question/280216
#SPJ11
The owner purchases 5 buckets, 10 brushes, 48 towels, and 1 case of air fresheners for the car wash. The total cost of the purchases is $144.08. Each bucket costs $2.89, each brush costs $7.91, and each towel costs $0.36. What is the cost, in dollars, of the case of air fresheners?
The cost of the case of air fresheners is $33.25.
What is the cost of the case of air fresheners?Let the cost of the case of air fresheners be represented by the variable a.
Then, the cost of 5 buckets is 5 times $2.89, or 5 x 2.89 = $14.45.
The cost of 10 brushes is 10 times $7.91, or 10 x 7.91 = $79.10.
The cost of 48 towels is 48 times $0.36, or 48 x 0.36 = $17.28.
The total cost of the purchases, including the case of air fresheners, is $144.08.
Therefore, we can write the equation:
14.45 + 79.10 + 17.28 + a = 144.08
Simplifying the left side of the equation, we get:
110.83 + a = 144.08
Subtracting 110.83 from both sides of the equation, we get:
a = 33.25
Therefore, the cost of the case of air fresheners is $33.25.
Read more about equations at
https://brainly.com/question/148035
#SPJ1
4 thumb drives and 1 compact disk have a total capacity of 18 gigabytes. 3 compact disks and 4 thumb drives have a total capacity of 22 gigabytes. Find the capacity of 1 thumb drive (x) and the capacity of 1 compact disk (y)
The capacity of 1 thumb drive is 4 gigabytes and the capacity of 1 compact disk is 2 gigabytes.
What is the capacity of 1 thumb drive and 1 compact disk?The first step is to form the system of equations that represent the information in the question:
4x + y = 18 equation 1
4x + 3y = 22 equation 2
The elimination method would be used to determined the required values.
Subtract equation 1 from equation 2
2y = 4
y = 4/2
y = 2
Substitute for y in equation 1: 4x + 2 = 18
4x = 18 - 2
4x = 16
x = 16/4
x = 4
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
#SPJ1
Salary Raise: Men According to the same survey quoted in Problem 13, of the men interviewed, 20% had asked for a raise and 59% of the men who had asked for a raise received the raise. If a man is selected at random from the survey population of men, find the following probabilities: P(man asked for a raise); P(man received raise, given he asked for one); P(man asked for raise and received raise).
The evaluated probabilities for the given question are 0.20 for the men who asked for promotion, 0.59 for the men who received the promotion when asked, and 0.118 for men who asked for promotion and received.under the condition that from the men interviewed 20% had asked for a promotion and 59% of the men who had asked for a promotion and received.
Then,
P(man asked for a promotion)
= 20/100
= 0.20
P(man received promotion, given he asked for one)
= 59/100
= 0.59
P(man asked for promotion and received )
= P(man asked for a promotion) x P(man received promotion, given he asked for one)
= 0.20 x 0.59
= 0.118
Probability is considered as the percentage of an event taking place in a specific time frame, in a given place. It is said to be a great aid in the horizons of science and mathematics.
To learn more about probability,
https://brainly.com/question/30390037
#SPJ4
You want to make a rectangular banner that is 16 feet long. You have no more than 50 feet of trim for the banner. What are the possible widths of the banner?
Answer:
So, the possible width of the banner would be 9 feet or less, since we have assumed a maximum total trim of 50 feet. If the width exceeds 9 feet, the total trim required would exceed the available trim of 50 feet. Therefore, the possible widths of the banner are 9 feet or less.
Step-by-step explanation:
Given:
Length of the banner (L) = 16 feet
Total trim available (T) = 50 feet
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
In this case, the perimeter of the banner would be equal to the total trim available, since the trim goes all the way around the banner.
So, we can set up the equation as follows:
2 * (L + w) = T
Plugging in the given values:
2 * (16 + w) = 50
Simplifying the equation:
32 + 2w = 50
2w = 50 - 32
2w = 18
w = 18 / 2
w = 9
Mendel is back at it with another genetics experiment. This time he needs to partition a
rectangular garden into 4 parts by constructing three additional fences parallel to one of the
sides, in addition to fencing the perimeter. What is the minimum amount of fencing (in
meters) he will need to enclose 2500 m2?
The minimum amount of fencing Mendel will need to enclose 2500 m² = 317 meters
Let's assume that x represents the length of and y represents the width of the rectangular garden.
Using the formula for tha area of rectangle, the area of the garden would be,
A = length × width
A = xy
Here, A = 2500 m²
so, 2500 = xy
⇒ y = 2500/x
Using the formula for the perimeter of the rectangle, the perimeter of the garden would be,
P = 2x + 2y
But a rectangular garden is partitioned into 4 parts by constructing three additional fences parallel to one of the side.
So, the perimeter would be,
P = 2x + 5y
sides, in addition to fencing the perimeter.
P = 2x + 5(2500/x)
P = 2x + (12500/x)
Consider the derivative of P(x) with respect to x.
P'(x) = 2 - 12500/x²
To find the minimum value consider P'(x) = 0
2 - 12500/x² = 0
2 = 12500/x²
x² = 12500/2
x² = 6250
x = 79.05 m
and y = 2500/79.05
y = 31.63 m
So, the minimum amount of fencing would be,
P = 2x + 5y
P = 2(79.05) + 5( 31.63 )
P = 316.25 meters
P ≈ 317 meters
The minimum amount of fencing need to enclose 2500 m² = 316.25 meters
Learn more about the area of rectangle here:
https://brainly.com/question/20693059
#SPJ4
Need answer ASAP
Describe and correct the error in finding the given conditional probability.
the conditional probability of being from London, given that someone is dissatisfied with their city, is approximately 0.452.
what is conditional probability ?
Conditional probability is the probability of an event A occurring, given that another event B has occurred. It is denoted as P(A | B), read as "the probability of A given B"
In the given question,
Based on the provided information, it seems like you have a table showing the number of satisfied and dissatisfied residents in three cities: Tokyo, London, and Washington D.C. You also have the total number of satisfied residents across all three cities.
The expression P(London|no) represents the conditional probability of someone being from London, given that they are dissatisfied with their city.
Using the formula you provided, we have:
P(London|no) = (P(no and London and don)) / (P(London and don))
where "no" represents being dissatisfied with the city and "don" represents being from the city of interest.
From the table, we see that:
P(no and London and don) = 112
P(London and don) = 248
Substituting these values into the formula, we get:
P(London|no) = 112 / (1000 * 248 / 644) ≈ 0.452
Therefore, the conditional probability of being from London, given that someone is dissatisfied with their city, is approximately 0.452.
To know more about conditional probability, visit:
https://brainly.com/question/30144287
#SPJ1
graph the relation {(5,0), (0,5), (5,1), (1,5)}. Is it a function? Why or Why not?
The relation {(5,0), (0,5), (5,1), (1,5)} is not a function because some inputs have multiple outputs.
To graph the relation {(5,0), (0,5), (5,1), (1,5)}, we can plot the points on a coordinate plane and connect them to form a scatter plot.
The graph of this relation looks like two intersecting lines that form an "X" shape, where the points (5,0) and (0,5) are on one line and the points (5,1) and (1,5) are on the other line.
Now, to determine whether this relation is a function or not, we need to check if each input (x-value) is associated with exactly one output (y-value).
Looking at the points, we see that both x=5 and y=5 have multiple outputs: (5,0) and (5,1) for x=5, and (0,5) and (1,5) for y=5. This means that the relation is not a function, as there are multiple y-values associated with a single x-value, violating the definition of a function.
To learn more about function here:
https://brainly.com/question/18315707
#SPJ1
Jason is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two point shots. Jason made a total of 13 shots altogether and scored a total of 20 points. Write a system of equations that could be used to determine the number of free throws Jason made and the number of two point shots he made. Define the variables that you use to write the system..
The system of equations that could be used to determine the number of free throws Jason made and the number of two point shots he made are: x + y = 13 and 1x + 2y = 20
How to answer the aforementioned questionsLet x be the number of free throws Jason made and y be the number of two-point shots he made.
Then, we can write a system of equations based on the given information:
x + y = 13 (total number of shots made)
1x + 2y = 20 (total number of points scored)
The first equation shows Jason's total number of shots, which include both free throws and two-point attempts.
The second equation indicates Jason's total amount of points, taking into account that two-point shots are worth twice as much as free throws.
Learn more about system of equations at https://brainly.com/question/12526075
#SPJ1
How many teaspoons are there in 6 milliliters?
Hint: 1mL≈0.2tsp
Round your answer to the nearest tenth.
Answer:
1.2 tsp
Step-by-step explanation:
6x0.2=1.2
There are 6 mL,and if each mL is 0.2tsp, then you have to multiply.
a rectangular playground is to be fenced off and divided into two parts by a fence parallel to one side of the playground. 720 feet of fencing is used. find the dimensions of the playground that will enclose the greatest total area.
What is the probability that a randomly selected man is shorter than 65 inches?
The probability that a randomly selected man is shorter than 65 inches can be determined using the concepts of normal distribution and z-scores.
Step 1: Determine the average height and standard deviation :
Assuming the average height (μ) for men is 69 inches and the standard deviation (σ) is 3 inches. These values are commonly used in such problems and can vary based on the specific population being considered.
Step 2: Calculate the z-score :
We want to find the probability of a man being shorter than 65 inches. The formula for the z-score is: Z = (X - μ) / σ Here, X is the target height (65 inches), μ is the average height (69 inches), and σ is the standard deviation (3 inches).
Substituting values to calculate the z-score: Z = (65 - 69) / 3 Z = -4 / 3 Z ≈ -1.33
Step 3: Determine the probability :
Using a z-score table or a calculator with a normal distribution function, we can find the probability that corresponds to the calculated z-score of -1.33. The table will show a value of 0.092 (approximately) for the z-score of -1.33.
Thus, the probability that a randomly selected man is shorter than 65 inches is approximately 9.2%.
For similar question on probability
https://brainly.com/question/29221515
#SPJ11
Select the acceptable conclusions to a hypothesis test. a The value of the test statistic lies in the nonrejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true. b The value of the test statistic does not lie in the rejection region. Therefore, we accept the null hypothesis. c The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is not true. d The value of the test statistic does not lie in the rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true. e The value of the test statistic does not lie in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is true. f The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the alternative hypothesis is true.
The acceptable conclusions to a hypothesis test are option a, c, d, f.
What is hypothesis test?
Hypothesis Testing is a way of statistical analysis in which a person can put his assumptions about a population parameter to the test. It usually used to estimate the relationship between two statistical variables.
By the property of hypothesis test the following can be stated.
⇒The value of the test statistic lies in the non rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true.
⇒ The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is not true.
⇒The value of the test statistic does not lie in the rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true.
⇒ The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the alternative hypothesis is true.
Hence the correct options are a, c, d, f.
To know more about hypothesis test
https://brainly.com/question/4232174
#SPJ4