Answers
Answer:
1. Box plot
2. 5
3. minimum
4. Q1
5. Median
6. Q2
7. Maximum
Step-by-step explanation:
Related Questions
Solve the inequality. |2x-6|+7 <15
Answers
Answer:
the answer to your questionis (-1,7)
I hope this helps
When do we write in2 in or in3
Answers
Answer:
Use in² for area; use in³ for volume.
Explanation:
When you calculate the area of a rectangle, you multiply length times width. Both units are in inches so:
inches × inches = (inches)² or in²
When you calculate the volume of a box (rectangular prism), you multiply length by width by height. All three units are in inches so:
inches × inches × inches = (inches)³ or in³
Please help me please
Answers
Answer: C I think
Step-by-step explanation:
Because I got 2 as an answer so it’s the only one that makes sense
Answer:
C the product is between 2/3 and 3 is true.
Step-by-step explanation:
(what grade level is this ?)
multiplied means product.
Have a nice day!
This is a 2 part 1 question each part on how to stop a zombie apocalypse by coming up with functions that model the spread of zombies and finding key points in time using your function. (If we get through this entire section: I will write a very long letter of gratitude and give you the highest rating for helping me understand. I truly just want to finish) There are only 2 steps, so this should be easy, but I need help! (Total of questions: 2) Please include some work and a bit of an explanation, so I know how to approach more problems like this. ( Some of these numbers are rather large, so I’ve been using the web2.0 calculator to hold the numbers- making it easy on myself ) In order to get a continue the study of the spread of zombies, you obtain this information: -locals inform you that they seen them stumbling in tattered clothes and causing a disturbance at a local cemetery , where the zombies were found has 100 plots, which are all filled. -Doctor states that his studies indicate that these zombies can spread at a rate of 20% -We know that the population of the U.S is 325,000,000. Therefore, the population of zombies in the country CANNOT exceed that number. (There is a limit to the population that the zombies can reach, so the growth much be modeled by logistic growth. ) •L (x) = a/1+ be^-rx•Let a represent the capacity of the population, must be positive •Let r represent a positive real number for the growth rate •Let x be the independent variable representing the elapsed time •B is a real number constantIN your function the independent variable •x, will be in the number of daysHERE IS WHAT I HAVE SO FAR : * A=350,000,000* R in decimal form = 0.2* L(0)= 100 - assuming that all of the people buried in the cemetery were re animated, the L(x) is equal to 100, as x=0, being the time in days , when everything started. * L(x) =325,000,000/1+3,249,999e^-0.2x (This is the logistic growth function for the growth of the zombie population) I will send you a picture of itNOW that that’s out of the way, HERE IS WHAT I NEED MOVING FORWARD: (Please include a small explanation, so I can read it and understand what is going on.) Step 2: population reaches 50% using the function to find how many days it will take the zombies to infect half of the population. (Use the function you created to find how long it will take) 1. How long will it take for the zombie population to equal half of the total population? How did you get that answer ? Step 3 : Critical Threshold using the function to find how many days it will take for the human population to drop below the point of no return(In order to come up with a plan to stop the zombie apocalypse, the task force needs you to know how long they have before the zombie population reaches critical point of 80% of the total population. Use the function you created to find how long this will take. ) 1. How long will it take for the zombie population to equal 80% of the total population? What did you do to get this?
Answers
Where x is the time, as you know
As for step 2:
First, we determine half of the total population that can get infected, this is simply:
\(\frac{325000000}{2}=1.625\times10^8\)I'll use scientific notation since it is much easier to work in this way
\(\Rightarrow L(half_{population})=1.625\cdot10^8=\frac{3.25\cdot10^8}{1+3.249999\cdot10^6e^{-0.2x}}\)\(\begin{gathered} \Rightarrow1+3.249999\cdot10^6e^{-0.2x}=\frac{3.25\cdot10^8}{1.625\cdot10^8}=2 \\ \Rightarrow3.249999\cdot10^6e^{-0.2x}=1 \\ \Rightarrow e^{-0.2x}=3.249999\cdot10^{-6} \end{gathered}\)Remember the next property of the exponential function:
\(\ln (e^x)=x;x\in\mathfrak{\Re }\)\(\begin{gathered} \Rightarrow-0.2x=\ln (3.249999\cdot10^{-6}) \\ \Rightarrow x=-\ln (3.249999\cdot10^{-6})\frac{1}{0.2}\approx6.32 \end{gathered}\)So, in 6.32 days it is expected that half the population will be infected.
Regarding Part C, which is quite similar to Part B, we only need to exchange 50% by 80%
80% of the population corresponds to:
\(\text{Total}_{\text{population}}\cdot0.8=2.6\cdot10^8\)\(\Rightarrow L(80percent)=2.6\cdot10^8=\frac{3.25\cdot10^8}{1+3.249999\cdot10^6e^{-0.2x}}\)\(\begin{gathered} \Rightarrow1+3.249999\cdot10^6e^{-0.2x}=\frac{3.25\cdot10^8}{2.6\cdot10^8}=1.25 \\ \Rightarrow e^{-0.2x}=1.25\cdot3.249999\cdot10^{-6} \\ \Rightarrow x=-\frac{1}{0.2}\ln (1.25\cdot3.249999\cdot10^{-6}) \end{gathered}\)Finally,
\(x\approx62.07\)The point of no return will be reached in 62 days, approximately
Now, regarding part 4
So, 100 people left
If there are only 100 people, then there are 3.25x10^8-100 zombies.
\(\Rightarrow L(100people)=3.25\cdot10^8-100=\frac{3.25\cdot10^8}{1+3.249999\cdot10^6e^{-0.2x}}\)\(\begin{gathered} \Rightarrow3.25\cdot10^8-100=\frac{3.25\cdot10^8}{1+3.249999\cdot10^6e^{-0.2x}} \\ \Rightarrow1+3.249999\cdot10^6e^{-0.2x}=\frac{3.25\cdot10^8}{3.25\cdot10^8-100}\approx1.00000031 \end{gathered}\)\(\begin{gathered} \Rightarrow3.249999\cdot10^6e^{-0.2x}=0.00000031=3.1\cdot10^{-7} \\ \Rightarrow e^{-0.2x}\approx9.54\cdot10^{-14} \end{gathered}\)\(\Rightarrow x=-\frac{1}{0.2}\cdot\ln (9.54\cdot10^{-14})\approx149.904\)Therefore, 100 humans will be left after approximately 150 days
About the process, the only thing we did was to substitute the value of L(x) for the corresponding percentage (50%,80%,100 humans left) and solve for x.
You can interpret the function in this way:
\(L(x)=\frac{3.25\cdot10^8}{1+3.249999\cdot10^6e^{-0.2x}}=\frac{a}{1+be^{-0.2x}^{}}=a(1+be^{-0.2x})^{-1}\)The only notable factor is the exponential function, as x increases, we obtain:
\(\begin{gathered} x\rightarrow\infty \\ \Rightarrow-0.2x\rightarrow-\infty \\ \Rightarrow e^{-0.2x}\rightarrow e^{-\infty}\rightarrow0 \end{gathered}\)However, that function is never zero. It's only a limit
So, there will always remain at least a fraction of a human left.
That from a mathematical point of view, the physical reality would be different.
Los 1600 euros de alquiler de un terreno se reparten entre tres ganaderos que llevan alli a pastar sus ovejas. Como no tienen el mismo número de ovejas, deciden pagar proporcionalmente al número de ovejas de cada uno. Si el primero tiene 120 Ovejas,el segundo 72 y el tercero 68. ¿ Cuánto paga cada uno?
Answers
So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros
What is proportion?Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.
Here,
To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:
120 + 72 + 68 = 260
The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:
0.4615 x 1600 = 738.40 euros
Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:
0.2769 x 1600 = 443.04 euros
The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:
0.2615 x 1600 = 418.56 euros
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Complete question:
The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?
find the surface area
Answers
The Surface area of Triangular Prism is 132 cm².
We have have the dimension of prism as
Sides = 3 cm, 4 cm, 5 cm
and, l = 10 cm
and, b= 4 cm
Now, Surface area of Triangular Prism as
= (sum of sides) l + bh
= (3 + 4 + 5)10 + 4 x 3
= 12 x 10 + 12
= 120 + 12
= 132 cm²
Thus, the Surface area of Triangular Prism is 132 cm².
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Help with this math please
Answers
Answer:
The answer is -20 .
Step-by-step explanation:
You have to substitute x = -4 into the function :
\(f(x) = 3x - 8\)
\(f( - 4) = 3( - 4) - 8\)
\(f( - 4) = - 20\)
Answer:
Step-by-step explanation:
f(x) = 3x - 8
f(-4) = 3*(-4) - 8
f(-4) = -12 - 8
f(-4) = - 20
-20 is what goes in the box.
What is the point- slope equation of the line through the point (-5, 5) that is perpendicular to the line whose equation is y= (5/3)x + 2? URGENT
Answers
simplify 2(f^4)^2/8f^12
Answers
Answer:
Step-by-step explanation:
2(f^4)^2/8(f^12)
2/8= 1/4
f^16/f^12
f^(16-12)= f^4
f^4/4 is the solution
Q.
(5sin 87° + tan 72° - sec 5°) / (cot 18° - cosec 85°+ 5cos 3°)
Answers
\(\dfrac{5 \sin 87^{\circ} + \tan 72^{\circ} - \sec 5^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\sin\left(90^{\circ}-3^{\circ} \right) + \tan\left(90^{\circ}-18^{\circ} \right)-\sec\left(90^{\circ}-85^{\circ} \right)}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\cos 3^{\circ} + \cot 18^{\circ}-\csc 85^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=1\)
PLease help, this is due tomorrow by 1 pm.
Answers
Note that the parameters of the graph a and graph b are given below.
Graph A - y=2(x-1)²
See graph attached.
Graph B - y = 1/2x² + 3
Vertex: The vertex of the function is (0, 3).
Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.
Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).
Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.
Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.
0 = 1/2 x² + 3
Subtracting 3 from both sides, we get:
-3 = 1/2 x²
Multiplying both sides by -2, we get:
6 = -x²
Taking the square root of both sides, we get:
x = ±√(-6)
Since the square root of a negative number is not a real number, the function has no real roots.
Minimum or maximum value: The minimum value of the function is 3.
Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.
Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.
Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.
See graph attached.
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7th grade work pls help!
Answers
Answer:
i really dont understand
Step-by-step explanation:
For the side length of 15ft 6ft and x which is it? the leg or hypotenuse they all have this option presented 2 you
Answers
Since the side length of 15ft is opposite the right angle, then this side length of 15ft is the hypotenuse of the triangle.
The other sides are considered the legs of the triangle. Therefore, the side length of 6ft is one of the legs of the triangle.
this is hard need help
Answers
Graph 1 - no
Graph 2 - no
Graph 3 - yes
Graph 4 - no
Graph 5 - no
Graph 6 - yes
Good luck !!
Marta conducts emissions inspections on cars. She finds that 8 % 8%8, percent of the cars fail the inspection. Let X XX be the number of cars Marta inspects until a car fails an inspection. Assume that the results of each inspection are independent. Find the mean and standard deviation of X XX. Round your answers to one decimal place.
Answers
There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.
What connection exists between the mean and the standard deviation?First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:
The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.
What is the standard deviation and mean formula?The mean is calculated as follows:
Mean = (all data values added together) / (number of data values)
However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.
The standard deviation equation is as follows:
Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":
No of the size of the data collection, the mean rises by precisely K.
No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.
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Help me plz tyy very much
Answers
Answer:
False
Step-by-step explanation:
A cyclist travels 2 miles in 10 minutes and then a further 6 miles in 20 minutes without stopping. Calculate the cyclist's average speed in mph
Answers
Given :
A cyclist travels 2 miles in 10 minutes and then a further 6 miles in 20 minutes without stopping.
To Find :
The cyclist's average speed in mph.
Solution :
We know, average speed is given by :
\(Average\ speed = \dfrac{Total\ distance\ covered}{Time \ taken}\\\\Average \ speed = \dfrac{2+6}{10+20}\ miles/min\\\\Average \ speed = 0.267\ miles/min\)
Hence, this is the required solution.
The time in seconds, t, it takes for a specific object being dropped from a particular height in feet above sea level, h, to reach the ground can be found by the radical function t equals one fourth times radical h period At what height should you drop an object in order for it to reach the ground in 8 seconds?
1,024 feet
256 feet
64 feet
4 feet
Answers
Applying the function, it is found that the object was dropped from a height of 256 feet.
--------------------
The time it takes for the object to hit the ground is given by:
\(t(h) = \sqrt{\frac{h}{4}}\)
--------------------
It took 8 seconds to hit the ground, thus, \(t = 8\), and we have to solve for the height h.\(t(h) = \sqrt{\frac{h}{4}}\)
\(8 = \sqrt{\frac{h}{4}}\)
\((\sqrt{\frac{h}{4}})^2 = 8^2\)
\(\frac{h}{4} = 64\)
\(h = 4(64) = 256\)
The object was dropped from a height of 256 feet.
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Answer:
1,024
Step-by-step explanation:
Fidgets cost $3 each and Pop Its cost $4 each. If you buy a total of 20 Fidgets and Pop
Its for $75, which system of equations could you use to determine how many of each
you bought? Let x represent the number of fidgets you bought and y represent the
number of pop its you bought.
Answers
The number of fidgets and pop bought was 15 each
How to determine the equationFrom the information given, we have that;
1 fidget costs $3
1 Pop cost $4
Let the number of Fidgets be x
Let the number of Pop be y
Then, we have that a total of 20 fidgets and Pop cots $75
We have that;
20x + y = 75
Now, substitute the value of x as 3, we get;
20(3) + y= 75
expand the bracket
y = 75 - 60
y = 15
The number of fidgets is expressed as;
20x/4 = 20(3) /4 = 15
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For the following equation, complete the given ordered pairs.
3x + y = 10 (__, 1), (2, __)
A.
(10, 1), (2, 12)
B.
(0, 1), (2, 3)
C.
(3, 1), (2, 4)
D.
(2, 1), (2, 5)
Answers
3x3=9+1=10
3x2=6+4=10
Helppp please I’ll give points to whoever answers it
Answers
Answer:
The solution is in the attached file
Step-by-step explanation:
Choose the examples you would like to use from the examples listed for both true and false
You plan to borrow $3825 at 15% annual interest for 4 years. What will your monthly
payment be? Use the formula . Make sure to label each variable. must show work
Answers
We can use the formula for the monthly payment of a loan to calculate the amount we need to pay each month:
M = (P * r * (1+r)^n) / ((1+r)^n - 1)
Where:
M = the monthly payment
P = the principal (the amount borrowed)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of months in the loan term (which is the number of years multiplied by 12)
Plugging in the given values, we get:
P = $3825
r = 15% / 12 = 0.0125
n = 4 years * 12 = 48 months
M = ($3825 * 0.0125 * (1+0.0125)^48) / ((1+0.0125)^48 - 1)
M ≈ $94.87
Therefore, the monthly payment will be approximately $94.87.
Solve: Which angle does the line form with the x-axis if its gradient is positive infinity (+∞)
Answers
Answer:
It makes a right angle
Step-by-step explanation:
\({ \rm{gradient = \tan( \theta) }} \\ { \rm{ \infin = \tan( \theta) }} \\ { \rm{ \theta = { \tan }^{ - 1}( \infin) }} \\ { \rm{ \theta = 90 \degree}}\)
Lee watches TV for 3 hours per day. During that time, the TV consumes 250 watts per hour. Electricity costs (18 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Answers
Lee's TV costs $4.05 to operate for a month of 30 days.
To calculate the cost of operating Lee's TV for a month, we need to find out the total number of kilowatt-hours (kWh) of electricity consumed by the TV during that time.
First, let's find out how many watts Lee's TV consumes in a day:
250 watts/hour x 3 hours/day = 750 watts/day
To convert this to kilowatts, we divide by 1000:
750 watts/day ÷ 1000 = 0.75 kilowatts/day
Now, we can calculate the total number of kilowatt-hours consumed by the TV in a month:
0.75 kilowatts/day x 30 days = 22.5 kilowatt-hours
Finally, we can calculate the cost of operating the TV for a month:
22.5 kilowatt-hours x 18 cents/kilowatt-hour = $4.05
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The scale of the drawing was 1 centimeters:4 meters.What is the ratio of the drawing?
Answers
9514 1404 393
Answer:
1 : 400
Step-by-step explanation:
A meter is 100 cm, so 4 m = 400 cm.
1 cm : 4 m = 1 cm : 400 cm = 1 : 400
Answer:
1:400 w7uwuwwuwiwiwyyyuuiyy
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
Answers
Since the volume of the pyramid is 18 cubic inches, then the volume of the prism is 3 times that amount which is 54 cubic inches 2.
Therefore, the answer is D. 54 cubic inches.
please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
Answers
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
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what will be the appropriate scale to represent the below table
Answers
We can write the scale factor for the table as {K} = y/x.
What is scaling?Scaling is a procedure through which we draw an object that is proportional to the actual size of the object. Scaling in geometry means that we are either enlarging or shrinking figures so that they retain their basic shape.Given is to determine the scale for the given table.
Since the table is not given, we can learn how to find the scale for the table. A table will be consisting of {x} and {y} coordinates.So, we can write the scale factor as : {K} = y/xTherefore, we can write the scale factor for the table as {K} = y/x.
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Breaking strengths of a random sample of 28 molded plastic housing were measured, and a sample standard deviation of S=19.52 was obtained. A confidence interval (439.23, 460.77) for the average strength of molded plastic housings were constructed from these results. What is the confidence level of this confidence interval?
Answers
The confidence interval of this confidence level as calculate from the given data is 3.68 and 99% respectively.
Number of random sample (n)=28
Sample Standard deviation (S)=19.52
Confidence interval = 439.23 - 460.77 = 21.54
t = s/root of n
=19.52 /5.29
=3.68
v = n -1 = 27
now, confidence level
= 1 - alpha
= 99%
Confidence Interval, put simply, is a range within which we are confident that the genuine value exists. The probability that a confidence interval will contain the real parameter value depends on the confidence level that is chosen for the interval.
The phrase "Confidence Interval" refers to the range of values that is typically used to handle population-based data, extracting precise, important information with a given level of confidence.
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the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle
Answers
Answer:
Length: 11
Width: 5
Step-by-step explanation:
Let W = width
Let L = length
Length is 4 less than 3 times the width ==> L = 3*W - 4
Let P = Perimeter = 2*W + 2*L
Perimeter is 22 more than twice the width ==> P = 2*W + 22
Setting the 2 expressions for the perimeter equal to each other gives
2*W + 2*L = 2*W + 22
2*L = 22
L = 11
So 11 = 3*W - 4
3*W = 15
W = 5
The length is 11 and the width is 5
Check: 3*W - 4 = 11 = Length
Perimeter = 32 = 22 more than 2*5 = 10