Answer:
0.058 hectometers
Step-by-step explanation:
There are 0.058 hectometers in 580 millimeters.
To convert millimeters to hectometers, you need to divide the number of millimeters by 100,000. So, 580 millimeters divided by 100,000 equals 0.0058 hectometers, or 0.058 hectometers when rounded to two decimal places.
Martin has 156 liters of soda. Each glass can hold 13 of a liter of soda. How many glasses can Martin completely fill with soda?
Answer: 12
Step-by-step explanation:
we divide 156 by 13, however, we can stop as soon as we reach the tenths column as we only care about full glasses.
if done correctly, you get 13
a researcher randomly selects 2 fish from among 8 fish in a tank and puts each of the 2 selected fish into different containers. how many ways can this be done? a) 112 b) 28 c) 56 d) 168 e) 32
There are 28 ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers. Hence, the accurate answer is option (b) 28.
To determine the number of ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers, we will use the formula for combinations, which is given by -
nCk = n! / (k!(n-k)!)
where n is the total number of items, k is the number of items to be selected, and ! denotes the factorial function (the product of all positive integers up to a given number).
Here, we are given n = 8 fish and k = 2 fish.
Thus, the number of ways to select and place 2 fish from 8 fish will be -
8C2 = 8! / (2!(8-2)!) = (8 x 7) / (2 x 1) = 28
Therefore, there are 28 ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers.
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how would you describe the output of the graph for:
inputs from 0 to 1
inputs from 3 to 4
We can describe the output of the graph for:
inputs from 0 to 1 - slow output.inputs from 3 to 4 - rapid output.What is a Graph?This is referred to as a pictorial representation or a diagram that represents data or values in an organized manner.
From the graph given, we can deduce that the variation at 0-1 curve is small while the variation at 3-4 curve is large which is therefore the reason why slow and rapid output were chosen respectiviely.
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twenty five people, consisting of women and men are lined up in a random order. find the probability that the ninth woman to appear is in position 17. that is, find the probability there are women in positions thru and a woman in position 17
The probability that the ninth woman to appear is in position 17 is about 5.59%
We can approach this problem by using the binomial probability distribution. Let X be the number of women among the first 16 people in the line. Then X follows a binomial distribution with parameters n = 16 and p, the probability that any given person among the first 16 is a woman. We want to find the probability that X = 8, since this means that the ninth woman to appear is in position 17.
The probability of any given person being a woman is not specified in the problem, but we can assume that it is 0.5 for simplicity. Therefore, p = 0.5, and we can use the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) is the binomial coefficient, which gives the number of ways to choose k items from a set of n items. In this case, it gives the number of ways to choose k women from the first 16 people in the line.
Using this formula with n = 16 and k = 8, we get:
P(X = 8) = (16 choose 8) * 0.5^8 * 0.5^8
= 12870 * 0.00390625
= 50.27
This means that the probability of exactly 8 women appearing among the first 16 people in the line is about 50.27%.
Given that there are 8 women among the first 16 people, the probability that the ninth woman appears in position 17 is 1/9, since there are 9 possible positions for the ninth woman to appear, and they are all equally likely.
Therefore, the overall probability that the ninth woman to appear is in position 17 is:
P(X = 8) * (1/9) = 50.27% * (1/9) = 5.59%
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Monica has 2. 2 litres of milk 1. 5kg of each other ingredient. Calculate the greatest number of people she can serve with pasta bake
It is not possible to determine the greatest number of people Monica can serve with pasta bake based solely on the information provided.
The amount of milk and other ingredients she has does not necessarily indicate how many portions she can make. Other factors such as the recipe she is using, the size of each serving, and the equipment she has available will also impact how many people she can serve. In order to determine the number of portions she can make, more information is needed about the recipe and the serving size she is aiming for.It is not possible to determine the greatest number of people Monica can serve with pasta bake based solely on the information provided.
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PLEASE HELP ME AS SOON AS POSSIBLE!!
A university purchased two different paintings in one year. The value of Painting A over time is modeled by f(x)=30,000(1.068)^x. The value of Painting B is represented by the graph at the right. Find the average rate of change of the value of each artwork over a -year time period. Which art work's value is increasing more quickly?
Rate of change of Panting A over a year period
2000Rate of change of Panting B over a year period
2500Painting B increases more quickly
How to find the rate of changeRate of change of Panting A over a year period, using the function f(x)=30,000(1.068)^x
at x = 0, f(x) = 30,000
at x = 1, f(x) = 32,040
rate of change = (30 000 - 32 000) / (0 - 1) = -2000 / -1 = 2000
Rate of change of painting B over a year period
= (25 - 27.5) * 1000 / (0 - 1)
= -2.5 * 1000 / -1
= 2500
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Rich is buying a home for $244,800. He is making a 15% down payment and financing the rest with a 25-year loan at 5.25% interest. What will his monthly mortgage payment be?
The required, Rich's monthly mortgage payment will be $1,246.91.
what is a mortgage payment?A mortgage payment is the amount of money that a borrower pays to a lender in order to repay a home loan.
Here,
The amount that Rich is financing with the mortgage is the difference between the total cost of the home and the down payment:
Amount financed = $244,800 - 0.15($244,800) = $208,080
To calculate the monthly mortgage payment, we can use the formula for the present value of an annuity,
[tex]PMT = (PV * r) / (1 - (1 + r)^{-n}[/tex]
First, we need to calculate the monthly interest rate. Since the annual interest rate is 5.25%, the monthly interest rate is:
r = 0.0525 / 12 = 0.004375
Next, we need to calculate the total number of payments. Since Rich is taking out a 25-year loan, he will be making 25 x 12 = 300 monthly payments.
Now we can plug these values into the formula and solve for PMT:
PMT = ($208,080 × 0.004375) / (1 - (1 + 0.004375)^(-300))
= $1,246.91
Therefore, Rich's monthly mortgage payment will be $1,246.91.
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Mr. Taylor has been looking at buying a house, and he is even thinking about having a pool put into his backyard!
Your Task: Design a pool that will fit inside Mr. Taylor's backyard and find out how much water it will take to fill the pool.
Rules!
1. Your pool design must include at least two different solids that are connected
2. Your pool must fit inside Mr. Taylor's backyard and leave at least 3 feet of space on each side of it for construction purposes
3. Your pool must be accessible and realistic
*Look at the photo for the blueprint of the house.
*You must clearly describe the pool design. Write this in a word-written response
To design a pool that would fit inside Mr. Taylor's backyard, you would need to know the dimensions of the available space.
You would also need to take into account any landscaping, slopes, and other features of the backyard that could impact the design and construction of the pool.
Once you have the necessary information about the backyard, you can start designing a pool that would be accessible and realistic. Here are some tips and guidelines for designing a pool.
Choose a shape and size that fits the available space and is functional. Rectangular or oval shapes are typically the most common and practical, but other shapes can be used as well.
Consider the depth of the pool. For safety reasons, the depth should be at least 4 feet at the shallow end and 8 feet at the deep end. You may also want to consider adding a gradual slope in the pool to make it easier for people to enter and exit.
Choose the material for the pool. Concrete, fiberglass, and vinyl are common materials used for pools. Each material has its own advantages and disadvantages, so research the options and choose the one that is best for your design and budget.
Consider adding features such as a diving board, slide, or waterfall to make the pool more enjoyable and attractive.
Calculate the amount of water it will take to fill the pool. This will depend on the size and depth of the pool. To get an estimate, you can use online pool volume calculators or consult with a pool contractor.
Once you have a design for the pool and know how much water it will take to fill, you can determine if it is feasible and within Mr. Taylor's budget.
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A field in the shape of a rectangle has an area of 1/3 square mile. The length of the field is 2/5 mile. What is the width of the field?
If the area of a rectangle 1/3 square mile and length of the field is 2/5 mile then the width of the field is
What is Area of a Rectangle?
The quantity of unit squares that can fit inside a rectangle called its area. In other terms, the area of a rectangle is the area that it occupys. The flat surfaces of laptop monitors, blackboards, painting canvases, etc. are a few instances of rectangular shapes.
Given in the question,
Area of rectangle [tex]= \frac{1}{3} square mile[/tex]
The length of the field [tex]= \frac{2}{5} mile[/tex]
Let breadth be x.
As we know that,
Area of rectangle = [tex]length * breadth[/tex]
Now,
[tex]\frac{1}{3} = \frac{2}{5} *x[/tex]
[tex]x=\frac{1}{3} * \frac{5}{2}[/tex]
[tex]x=\frac{5}{6}[/tex]
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LCM of x^2 -25 and x-5
Answer:10
Step-by-step explanation:
5.5 equals 25.then you subtract 25 by 25 and get zero.
Liz is recording what kinds of shoes people are wearing at the mall. sandals 2 sneakers 12 high heels 6 Considering this data, how many of the next 10 people Liz sees would you expect to be wearing sandals?
10% of the next 10 people Liz sees would be expected to be wearing sandals.
Liz is recording what kinds of shoes people are wearing at the mall. sandals 2 sneakers 12 high heels 6 Considering this data.
We have to determine how many of the next 10 people Liz sees would you expect to be wearing sandals.
Since 12 out of the 20 people Liz has seen were wearing sneakers, and 6 were wearing high heels, then 2 must have been wearing sandals.
Then, Expect to be wearing sandals = Number of people wearing sandals/Total number of records
Expect to be wearing sandals = 2/20 × 100
Expect to be wearing sandals = 1/10 × 100
Expect to be wearing sandals = 10%,
So 10% of the next 10 people Liz sees would be expected to be wearing sandals.
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Determine the geometric mean of 20 and 30.
The geometric mean of 20 and 30 is 24.49.
What is geometric mean?
The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values.
We are given two numbers as 20 and 30.
Formula for geometric mean is
G.M = √x₁ × ... × xₐ
So, using this we get
⇒G.M = √20 × 30
⇒G.M = √600
⇒G.M = 24.49
Hence, the geometric mean of 20 and 30 is 24.49.
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Which graph shows the solution to the system of linear equations?
y = 2x − 2
4x − 2y = 4
- Coordinate plane with one line that passes through the points 0 comma negative 2 and 1 comma 0.
- Coordinate plane with one line that passes through the points 0 comma negative 1 and 1 comma 1 and another line that passes through the points 0 comma negative 2 and 1 comma 0.
- Coordinate plane with one line that passes through the points 0 comma 1 and 1 comma 2.
- Coordinate plane with one line that passes through the points 0 comma negative 2 and 1 comma 0 and another line that passes through the points 0 comma 1 and 1 comma 2.
Answer:
A
Step-by-step explanation:
Answer: the answer is A
Step-by-step explanation:
If today is saturday , what day of week will it be 150 days from today ??
In one trip to the hardware store you buy 15 boards, 3 boxes of nails, and a saw. One a second trip you buy 9 more boards and a box of nails. Define and use variables to represent the total cost.
The variables representing the total cost of the items bought are x and y.
Where X is the total cost of the items bought during the first trip and Y is the total cost of the items bought during the second trip.
Items bought on the first trip:
Boards = 15
Boxes of nails = 3
Total cost = x
Items bought on the second trip:
Boards = 9
Boxes of nails = 1
Total cost = y
Variables:Let a piece of board = b
Let a box of nails = n
Let the total cost for the first trip = x
Let the total cost for the second trip = y
Equations:x = 15b + 3n
y = 9b + n
Reece works at fries and more and the relationship between x the number of hours and y reece's total earnings can be represented by y=8. 25x who earns more per hour
Another person named Sarah earns $7.50 per hour, then Reece earns more per hour than Sarah.
If the relationship between the number of hours worked and total earnings for Reece at Fries n More is given by y = 8.25x, where y is total earnings and x is the number of hours worked, then Reece earns $8.25 per hour worked.
To compare Reece's earnings per hour to another person, we would need to know the hourly wage of the other person. For example, if another person named John earns $9.00 per hour, then John earns more per hour than Reece. Conversely, if another person named Sarah earns $7.50 per hour, then Reece earns more per hour than Sarah.
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10. What is the length of
side a?
2
2.9.
36 cm
15cm
39 cm
a
Answer:
the answer is a=15cm
Step-by-step explanation:
c²=a²+b²
where c=Hypothenuse,a=adjacent, b=opposite
a²=c²-b²
a²=39²-36²
a²=1521-1296
a²=225
take Square root of both sides
a=15cm
What is true about a system of two linear equations that has no solution?
Answer: The two lines never intersect
Step-by-step explanation:
An algebraic solution for a system of equations means that the graphs of the two equations intersect at some point. If no such point can be found, it means the graphs never intersect.
2x-3y + z = 6 -
-x+y-2z=-5
3x - y — 3z = −7
solve
Answer: X=3 Y=8/5 and Z= 24/5
Step-by-step explanation:
trinomio cuadrado perfecto
[tex]\alpha^{3} -10\alpha ^{\frac{3}{2} } +25[/tex]
The frequency of people compared to the number of monthly text messages sent and received by a class are shown in the histogram.
A histogram titled Daily Text Messages. The x-axis is labeled Number of Sent Texts and has intervals of 1 to 15, 16 to 30, 31 to 45, 46 to 60, 61 to 75, 76 to 90, and 91 to 105. The y-axis is labeled Frequency and starts at 0, with tick marks every 2 units up to 12. There is a shaded bar for 1 to 15 that stops at 1, for 31 to 45 that stops at 3, for 46 to 60 that stops at 4, for 61 to 75 that stops at 4, for 76 to 90 that stops at 5, and for 91 to 105 that stops at 8. There is no shaded bar for the 16 to 30 interval.
Which of the following best describes the shape of the data, and why?
The data is symmetric because the majority of students sent fewer than 45 text messages.
The data is symmetric because some students have phones and some do not.
The data is skewed because most text messages are replied to and cause the number to be at least twice what it was originally.
The data is bimodal because the popular number of text messages to send is between 91 and 105.
Range, because it measures the distinction between the highest and lowest values in a dataset, providing a clear estimate of variability for both sets of data. It is unaffected by skewness or symmetry, making it a useful measure of variability for comparing the temperature consistency of Desert Landing and Flower Town.
What is meant by histogram?A histogram is a rough illustration of how numerical values are distributed. Karl Pearson coined the phrase at the beginning.
A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data points over a range of successive numerical intervals of equal width. The independent variable and dependent variable are plotted along the horizontal axis and the vertical axis, respectively, in the most typical type of histogram.
A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.
Therefore, the correct answer is both option c) and d) Range, because Flower Town is skewed and symmetric.
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What is the value of F?
Write the equation of the line shown on the coordinate plane below?
4
3
لا
2
1
-8-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
2 3 4 5 6 7 8
The equation of line shown on the coordinate plane is,
⇒ y = - 1/4x
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 0) and (4, -1).
Now,
Since, The equation of line passes through the points (0, 0) and (4, -1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 0) / (4 - 0)
m = - 1 / 4
Thus, The equation of line with slope - 1/4 is,
⇒ y - 0 = - 1/4 (x - 0)
⇒ y = - 1/4x
Therefore, The equation of line passes through the points (0, 0) and
(4, -1) will be;
⇒ y = - 1/4x
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F.E.O.L. Perpendicular to a Given Line
Write the slope-intercept form of the equation of the line described.
1) through: (-2,-3), perp. to y=-x
5
3) through: (2,-2), perp. to y=-
2) through: (5,-2), perp. to y = 5x +4
4) through: (-4,-3), perp. to y=-x+2
The equation of the line are;
a. y = 5/2x + 2
b. y = -1/5x - 1
c. y = -5/2x - 3
d. y = -x - 7
What is the slope intercept form of the linea.
The line passes through point (-2, -3) and it is perpendicular to y = -2/5x
The equation of the line is y = 5/2x + 2
b.
The line passes through the point (5, -2) and it is perpendicular to y = 5x + 4
The equation of the line is y = -1/5x - 1
c.
The line passes through (-2, 2) and it is perpendicular to y = 2/5x - 4
Th equation of the line is y = -5/2x - 3
d.
The line passes through (-4, -3) and it is perpendicular to y = -x + 2
The equation of line is y = -x - 7
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Assignment
E
7m
K
6m 20 m
A
28 m
F
5 m J
24 m
G
Intro
LL
L
Mai enlarges a triangular sign by a multiple of 4
creating similar triangles. The bottom of the original
sign is side EG. Which side of the enlarged sign
corresponds to side EG?
If she wanted to turn the sign so that side JK was on the
bottom, what side of the original sign would this
correspond to?
Done
See below for the description of the enlarged shapes when dilated
How to determine the side of the enlarged sign corresponds to side EG?From the question, we have the following parameters that can be used in our computation:
Scale factor = 4
This means that if Mai enlarges the triangular sign by a multiple of 4,
Then the corresponding side in the enlarged sign to side EG is 4 times the length of side EG.
i.e Corresponding side = 4 * Original side
If Mai wanted to turn the sign so that side JK was on the bottom,
Then the corresponding side of the original sign would be the side that was previously opposite to JK.
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If x + y = 6 and 3x – y = 4 then x – y is equal to
Answer:
[tex]-1[/tex]
Step-by-step explanation:
[tex](x+y)+(3x-y)=4 \implies 4x=10 \implies x=2.5 \\ \\ 2.5+y=6 \implies y=3.5 \\ \\ \therefore x-y=2.5-3.5=-1[/tex]
Explain how to calculate 5% of 260 by first calculating 1% of 260
The value of 5% of 260 is 13 as it is 5 times of 1% of 260 and the value of 1% of 260 is 2.6.
Percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
so, according to the question
Let 1% of 2600 = X
1/100 * 260 = X
X = 2.6
5% is 5 times of 1% so we can just multiply the value we got after 1% of 260
i.e., 2.6
so 5% of 260 is 5 * 2.6
= 13.0
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Elizabeth is a nurse, and she just administered 1. 8 milliliters of medication to one of her patients. Elizabeth knows that the amount of medication remaining in the patient's body will decrease by a factor of 1 3 each hour
If the amount of medication in the body decrease by a factor of 1/3 each hour , then the exponential function is y = 1.8(2/3)ˣ .
Let M = the initial amount of medication administered = 1.8 milliliters , and
Let y = the amount of medication remaining in the patient's body after x hours.
We know that the medication amount will decrease by a factor of 1/3 each hour, which means that after 1 hour, only (1-1/3) = 2/3 of the medication will remain, after 2 hours, only (2/3)² will remain, and so on.
So we can write the equation in exponential form as :
⇒ y = M × (1-1/3)ˣ
⇒ y = M × (2/3)ˣ ;
substituting the initial value as 1.8 ,
we get ;
⇒ y = 1.8 × (2/3)ˣ ;
where x = number of hours that have passed since the medication was administered.
Therefore , the exponential function for the situation is y = 1.8 × (2/3)ˣ .
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The given question is incomplete , the complete question is
Elizabeth is a nurse, and she just administered 1.8 milliliters of medication to one of her patients. Elizabeth knows that the amount of medication remaining in the patient's body will decrease by a factor of 1/3 each hour .
Write an exponential equation in the form y = a(b)ˣ that can model the amount of medication (y) , remaining in the patient's body after x hours .
if the first one to arrive will wait only 20 min before leaving to eat elsewhere, what is the probability that they have dinner at the health-food restaurant? [hint: the event of interest is a
The probability that they have dinner at the health food restaurant is 0.643.
To calculate the probability that the first one to arrive has dinner at the health-food restaurant given that they will wait only 20 minutes before leaving to eat elsewhere, we need to use conditional probability.
Let A be the event that the first one to arrive has dinner at the health-food restaurant, and let B be the event that the first one to arrive waits only 20 minutes before leaving to eat elsewhere.
We want to find P(A|B), the probability that A occurs given that B occurs.
We know that P(A) = 0.3, the probability that the first one to arrive has dinner at the health-food restaurant. We also know that P(B|A) = 0.6, the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere given that they have dinner at the health-food restaurant.
To calculate P(B), the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere, we need to use the law of total probability:
P(B) = P(B|A) x P(A) + P(B|A') x P(A')
where A' is the complement of A, i.e., the event that the first one to arrive does not have dinner at the health-food restaurant. We know that P(A') = 1 - P(A) = 1 - 0.3 = 0.7, and we are given that P(B|A') = 0.1, the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere given that they do not have dinner at the health-food restaurant.
Therefore, we can calculate P(B) as:
P(B) = P(B|A) x P(A) + P(B|A') x P(A')
= 0.6 x 0.3 + 0.1 x 0.7
= 0.21 + 0.07
= 0.28
Finally, we can calculate P(A|B) using Bayes' theorem:
P(A|B) = P(B|A) x P(A) / P(B)
= 0.6 x 0.3 / 0.28
= 0.643
Therefore, the probability that the first one to arrive has dinner at the health-food restaurant given that they will wait only 20 minutes before leaving to eat elsewhere is approximately 0.643 or 64.3%.
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a cylinder with radius of 5ft has a volume of 314ft. Find its height
3.9979(depends on what place you need to round to
The equation is V=πr2h. First plug in what you know, 314=π5^2h. 5x5=25 and its multiplied with π. It would look like 314=25πh. Divide the 25π by both sides, leaving your h. Plug it into your calculator.
Check answer:
(I rounded the 4 to the nearest whole number) 4*25*π is approximately 314
Answer:
4 ft
---------------
Volume of cylinder formula:
V = πr²hGiven:
r = 5 ft,V = 314 ft³Find h:
314 = 3.14*5²h314 = 3.14*25hh = 314/(3.14*25)h = 4 ft