Answer:
Class A: 87, 93, 96, 88, 92, 90, 100, 93, 91, 96
Mean: 92.6
Median: 92.5
Mode: 93 and 96
Class B: 72, 69, 54, 66, 63, 74, 59, 64, 70, 68
Mean: 65.9
Median: 67
Mode: No mode or 0
Step-by-step explanation:
You're welcome.
(20) The images below show a picture of Ricoffy tin container with no dimensions indicated. The container is 2,5 times smaller than what it is in reality. Diameter of the tin on the picture = ? Height of the tin on the picture = ? Actual weight of coffee = 750 g 1.1 Measure the diameter of the tin in mm and write down the real diameter in mm (3)
The diameter and height in the picture are 2/5D and 2/5H, respectively
How to determine the diameter and height in the pictureFrom the question, we have the following parameters that can be used in our computation:
Container = 2/5 smaller than in reality
This means that
Scale factor = 2/5
So, we have
Diameter = 2/5D where D = diameter in reality
Also, we have
Height = 2/5H where H = height in reality
Hence, the height in picture is 2/5H
Read more about scale factor at
brainly.com/question/15891755
#SPJ1
Determine if it is Exponential growth or decay. Use the information below to plug in the numbers to the formula. f(x)=a(1+or-r)^x
initial value: 2,000
growth rate: 6%
The exponential function is an exponential growth.
Is it an exponential growth or decay?The general exponential function is:
f(x) = a*(b)^x
Where a is the initial value and b is the base, if:
b > 1 then it is a growth.
0 < b < 1 then it is a decay.
In this case, b = 1 + r
Where r is the growth rate, in this case is 6%, writting it as a decimal we get:
b = 1 + 6%/100% = 1.06
It is larger than 1, so this is a growth.
Learn more about exponential functions at:
https://brainly.com/question/11464095
#SPJ1
How many times 9 goes into 22
If 6% of a number is 10, find 3% of that number.
Answer:
1.8
Step-by-step explanation:
6 is 10% of 60, which means 3% of 60 is 1.8.
sebastian is creating a rectangular garden in his backyard. the length is 11 feet. the perimeter of the garden must at least be 56 feet and no more than 76 feet. what is the width of the garden must at least be?
The garden must be at least 17 feet wide.
Let's use w to represent the garden's breadth.
The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width.
Assuming that the length is 11 feet, the expression for the perimeter can be written as follows:
P = 2(11) + 2w = 22 + 2w
The perimeter is stated to be at least 56 feet and not to exceed 76 feet. Hence, we can create the inequality shown below:
56 ≤ 22 + 2w ≤ 76
When we take 22 out of every aspect of the inequality, we get:
34 ≤ 2w ≤ 54
By multiplying every aspect of the inequality by 2, we obtain:
17 ≤ w ≤ 27
Thus, the garden must be at least 17 feet wide.
To know more about Feet visit:
https://brainly.com/question/15658113
#SPJ1
1/8 an integer or not
Answer: no
Step-by-step explanation: an integer is a number that is not a fraction or a decimal
Answer:
nope
Step-by-step explanation:
it's a decimal, so by definition, it's not an integer.
dose anyone know this i have know idea what it is ??
Answer:
212.5ft^2
Step-by-step explanation:
First, go ahead and find the area of the total square. To do this, multiply the length by the height (15*15) to get 225. This is not our final answer, but it will help us solve the problem later.
Next, we need to find the area of the lower-left triangle that is cut off. To do this, we will find the side lengths of just that section. Because the left side of the square and the right side are the same total length, we can just subtract 10 from 15 to get a length of 5.
Now, to find the area of the triangle we will use b*h/2:
5*5/2=12.5
All that's left is to subtract this area from the initial area (225) to get our final answer of 212.5ft^2.
Which graph is the result of reflecting f(x) =1/4 (8)x across the y-axis and then across the x-axis?
Answer:
Answer on pic
Step-by-step explanation:
#CarryOnLearning
Consider that over 3.8 inches of rain fell in Lansing, Michigan on Monday, August 11th, 2016 from 11 AM to 2 PM. News reporters want to know if that sets the record for the city. In 1905, a record 1.2 inches of rain fell each hour for 3 hours. Which is the greater rainfall? please hurry
Answer:
lansing Michigan has more rain
Step-by-step explanation:
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 54 months and a standard deviation of 11 months. Using the 68-95-99.7 rule, what is the approximate percentage of cars that remain in service between 21 and 32 months?
Therefore , the solution of the given problem of percentage comes out to be 11.31% of the vehicles in use are between 21 and 32 months old.
Describe percentages.In statistics, a percentage is a figure or a figure that is expressed as a fraction of 100. Furthermore, "pct.," "pct," as well as "pc," are rarely used. However, it is commonly denoted by the "%" sign. There are no dimensions; the percentage total is flat. Percentages are essentially numbers because their numerator is 100. To indicate that a number is a percentage, the percent sign (%) or the phrase "percent" must appear before the number.
Here,
This rule states that for a normal distribution, which is presumed here because of the bell-shaped curve:
The data is within yet another standard deviation of the median for 68% of the time.
The data is within 2 standard deviations of the median for 95% of the time.
The data is now within three standard deviations of the mean in 99.7% of the cases.
As a result, z1 = (21 - 54) / 11 = 3 and z2 = (32 - 54) / 11 = 2
The numbers -3 and -2 represent the number of standard deviations that each figure is from the mean.
determine what percentage of the data lies in between two values:
P(-3 ≤ Z ≤ -2) = 0.1359 - 0.0228 = 0.1131
According to this, 11.31% of the vehicles in use are between 21 and 32 months old.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
Among 350 randomly selected drivers in the 20−24 age bracket, 3 were in a car crash in the last year. If a driver in that age bracket is randomly selected, what is the approximate probability that he or she will be in a car crash during the next year? Is it unlikely for a driver in that age bracket to be involved in a car crash during a year? Is the resulting value high enough to be of concern to those in the 20−24 age bracket? Consider an event to be "unlikely" if its probability is less than or equal to 0.05.
Question content area bottom
Part 1
The probability that a randomly selected person in the 20−24 age bracket will be in a car crash this year is approximately enter your response here.
(Type an integer or decimal rounded to the nearest thousandth as needed.)
The probability that a randomly selected driver in the 20-24 age bracket will be in a car crash during the next year is 0.86%.
It is unlikely for a driver in that age bracket to be involved in a car crash during a year
The resulting probability of 0.0086 is relatively low.
How to find the probabilityThe approximate probability can be calculated by dividing the number of drivers who were in a car crash in the last year by the total number of drivers in the 20-24 age bracket:
Probability = Number of drivers in a car crash / Total number of drivers in the age bracket
Probability = 3/350
Probability ≈ 0.0086
Part 2
Since the probability is less than 0.05, it is unlikely for a driver in that age bracket to be involved in a car crash during a year.
Part 3
While any car accident can be a concern, the resulting probability of 0.0086 is relatively low.
:Learn more about probability at:
https://brainly.com/question/14323743
#SPJ1
Lily has read 3/4 of her book. Sophie has read 2/6 of her book. Which girl has read more of her book?
Answer: Lily
Step-by-step explanation:
3/4 is larger than 2/6
Answer: Lily
Step-by-step explanation: 3/4 > 2/6
3/4 = 0.75
2/6= 0.33
compare the two decimal places, 0.75 > 0.33
What is the standard deviation for the following dataset?
18 22 39 48 77 89
The standard deviation for the dataset is 28.89.
What is the standard deviation?
When we measure diversity in a data set, it is called standard deviation. We have to calculate the variance first. The square root of variance gives the standard deviation. The formula to calculate standard deviation is:
s= [tex]\sqrt{\frac{(x1-xm)^{2} + (x2-xm)^{2} +........+ (xn-xm)^{2} }{n-1} }[/tex]
First, we will calculate the mean of the data, xm
[tex]xm=\frac{18+22+39+48+77+89}{6}[/tex]
[tex]=48.83[/tex]
Then, we will calculate the following:
[tex](x1-xm)^{2}=(18-48.83)^{2} \\\\(x2-xm)^{2}=(22-48.83)^{2} \\\\(x3-xm)^{2}=(39-48.83)^{2} \\\\(x4-xm)^{2}=(48-48.83)^{2} \\\\(x5-xm)^{2}=(77-48.83)^{2} \\\\(x6-xm)^{2}=(89-48.83)^{2} \\[/tex]
The summation comes out to be 4174.83.
Therefore, the standard deviation becomes = [tex]\sqrt{\frac{4174.83}{5} }[/tex]
=28.89
Learn more about standard deviation here:
https://brainly.com/question/24298037
#SPJ1
Use synthetic division to evaluate for the indicated x value.
--x³-2; f (5)
f (5)
=
We can write the function f(x) = (- x³ - 2) at {x} = 5 as -
f(5) = - 127.
What is expression?An expression is a term made up of both constants and variables.
Given is the function as -
f(x) = - x³ - 2
We can write f(5) as -
f(5) = - (5)³ - 2
f(5) = - 125 - 2
f(5) = - 127
Therefore, we can write the function f(x) = (- x³ - 2) at {x} = 5 as -
f(5) = - 127.
To solve more questions on expressions, visit the link-
https://brainly.com/question/29131910
#SPJ1
If f(x) = 2/3x^2 + 8x, what is the value of f(6)?
Answer:198
Step-by-step explanation:
15+15+15+!5
f(6)=72
Explanation:
to evaluate f(6) substitute x = 6 into f(x)
f(6)=2/3×(6x6x6x6x6x6)+(8×6)
=2/3×36+48
24+48=72
72 is your answer
Use the percent formula, A=PB, where A is P percent of B, to answer the following question. What is 29% of 10?
The value of 29% of the number 10 will be 2.9.
What is the percentage?The part of any product is given as though it was a ratio of a hundred. The ratio can be represented as a quarter of 100. The phrase % decrypts to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The value of 29% of 10 is calculated as,
⇒ 29% of 10
⇒ 0.29 x 10
⇒ 2.9
The value of 29% of the number 10 will be 2.9.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
Julio wears a blue shirt every 3 days. Larry wears a blue shirt every 4 days.on April 12 ,both Julio and Larry wore blue shirt.what is the next date that they will both wear a blue shirt?
Answer:
Step-by-step explanation:
We need to find the least common multiple (LCM) of 3 and 4, which will give us the number of days after which both Julio and Larry will wear a blue shirt on the same day again.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, ...
We can see that the least common multiple of 3 and 4 is 12, because it is the smallest number that appears in both lists.
This means that Julio and Larry will wear a blue shirt on the same day every 12 days.
Since they both wore blue shirts on April 12, the next date that they will both wear a blue shirt is 12 days later, on April 24.
Answer:
To find the next date that they will both wear a blue shirt, we need to find the least common multiple (LCM) of 3 and 4, which is 12.
So, Julio will wear a blue shirt on April 12, 15, 18, 21, and so on.
Larry will wear a blue shirt on April 12, 16, 20, 24, and so on.
The next date they will both wear a blue shirt is when their dates coincide, which is April 24.
Therefore, Julio and Larry will both wear a blue shirt again on April 24.
Step-by-step explanation:
-4.8y-2(6.35y +4.65)
Answer:
Expanding the expression, we have:
-4.8y - 2(6.35y + 4.65)
= -4.8y - 12.7y - 9.3 (distributing the -2)
= -17.5y - 9.3
Step-by-step explanation:
During an experiment, the temperature of a mixture changes from 12.25°F to 15.6°F.
What is the percent of increase in the temperature of the mixture?
(ROUND TO NEAREST
HUNDREDTH )
Answer:
The percentage increase is 21.4% increase
Given Data
Initial temperature = 12 1/4°F = 49/4 = 12.25°F
Final Temperature = 15 3/5°F = 78/5 = 15.6°F
We know that the expression for percentage increase is given as
Percent Increase = Increase/Final *100
Percent Increase = 15.6-12.25/15.6 *100
Percent Increase = 3.35/15.6 *100
Percent Increase = 0.214 *100
Percent Increase = 21.4%
Hence there is a 21.4% increase
Learn more about Percentage increase here:
brainly.com/question/11360390
Determine the total number of eggs in 7 dozen eggs
Answer:
Seven dozen eggs would equal a total of 84 eggs
Step-by-step explanation:
Answer:
84 eggs
Step-by-step explanation:
1 dozen of eggs = 12 eggs
Then :
1 dozen -------- 12 eggs
7 dozen ------- x eggs
x = (7 x 12) / 1 = 84 eggs
What are the possible values for
From the diagram you know that the triangles have two pairs of congruent corresponding sides, that LM< _, and that m
Please imma give brainlest
Help
Measure of ∠K in triangle KLM by open mouth theorem is ∠K < 90°.
What is open mouth theorem?The open mouth theorem states that if two sides of a triangle are congruent with two sides of another triangle, and the included angle of the first triangle is greater than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.
Given,
two triangles KLM and NOP
KL≅NO and KM≅NP
LM = 7, OP = 9
LM < OP
By open mouth theorem
m∠K < m∠N
m∠N = 90°
m∠K < 90°
Hence, m∠K < 90° is the value of angle K, in triangle KLM
Learn more about open mouth theorem here:
https://brainly.com/question/3941823
#SPJ1
Need. help asap ........................
Answer: 135x
Step-by-step explanation: I did this and got it right
Answer:
The answer is 135
Step-by-step explanation:
Always use PEMDAS when solving so this id what you do
P (parenthesis): 12-2 = 10
E (exponent): [tex]3^{3}[/tex] = 3x3x3 = 27
M (multiply): 10x27= 270
D (divide): 270 divided by 2 = 135
*There is no addition and subtraction in the equation so you dont have to use them*
I hope this helped you!!
Use matrices A, B, C, and D. Find each scalar product, sum, or difference.
A-2B
We can write the equivalent value of the matrix {A - 2B} as -
[9 2]
[2 6]
[3 -10]
What are matrices?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Given are the matrices as given in the equation.
We can write the elements for {A - 2B} as -
A{ 1 } = 3 + 6 = 9
A{ 2 } = 4 - 2 = 2
A{ 3 } = 6 - 4 = 2
A{ 4 } = - 2 + 8 = 6
A{ 5 } = 1 + 2 = 3
A{ 6 } = - 10
So, we can write the matrix as -
A - 2B =
[9 2]
[2 6]
[3 -10]
Therefore, we can write the equivalent value of the matrix {A - 2B} as -
[9 2]
[2 6]
[3 -10]
To solve more questions on matrices, visit the link-
https://brainly.com/question/29131910
#SPJ1
PLEASE HELP ITS DUE TONIGHT I DONT KNOW HOW TO DO IT
Answer:
Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
Tell how many polygons can be formed by each set of points
The number of polygons that can be formed are
(0, 1) and (2, 3): Zero polygon(4, 5), (6, 7), and (8, 9): One polygon (triangle)(3, 5) and the x-axis: One polygon (triangle)How to determine the number of polygonsPoints (0, 1) and (2, 3)
The set of points (0, 1) and (2, 3) cannot form a polygon as they are collinear (i.e., lie on the same straight line) and do not enclose an area.
Points (4, 5), (6, 7), and (8, 9)
These are three different points.
Because a triangle has three sides, one triangle can be formed by the set of points (4,5), (6,7), and (8,9). i.e. One polygon
Points (3, 5) and the x-axis.
One polygon can be formed by the set of points (3,5) and the x-axis: a triangle with vertices at (3,5), (0,0), and (6,0).
How to determine the areas and the perimetersPolygon (4)
This is a rectangle with the dimension:
6 units by 5 units
So, we have
Perimeter = 2 * (6 + 5) = 22 units
Area = 6 * 5 = 30 squared units
Polygon (5)
This is a composite figure with the following dimensions:
Square of 4 units
Rectangle: 6 units by 2 units
So, we have
Perimeter = 4 * 4 + 2 * (6 + 2) = 32 units
Area = 4 * 4 + 6 * 2 = 28 squared units
Read more about areas and perimeters at
https://brainly.com/question/19819849
#SPJ1
For questions 4-6, calculate the simple interest and the amount after the specified period of time.
4. $328.00 invested at 5% for 3 years.
4. Interest:
5. $635.85 invested at 7% for 6 months.
6. $175.01 invested at 8% for 90 days.
Amount:
5. Interest:
Amount:
6. Interest:
Amount:
Step-by-step explanation:
328×5×3÷100
100÷5=20
20÷2=10
328÷2=164
please help me with this question
Answer:
it's C
All the graphs except C crosses the x axis at the roots but C doesn't
Does this represent a function yes no because
We can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.
What is functions ?In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, a function is a rule that assigns a unique output value to each input value. Functions are commonly denoted using functional notation, where the function name is followed by its input, such as f(x) or g(t).
According to given information:To determine if the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} represents a function, we need to check if for every x-coordinate there is only one corresponding y-coordinate.
We can start by graphing the set of points:
From the graph, we can see that for x = -4 and x = 4, there are two different y-coordinates, which means that the set of points does not represent a function.
Therefore, we can conclude that the set of points {(−9,0),(−4,5),(0,9),(4,5),(9,0)} does not represent a function.
To know more about functions visit :
https://brainly.com/question/11624077
#SPJ1
The function f(x) = -x^4 + 3 does not have an absolute maximum. TRUE OR FALSE?
Answer:
False.
Step-by-step explanation:
The equation f(x) = [tex]-x^4[/tex] + 3 has a maximum interval of (0, 3).
First simplify the equation:
f(x) = [tex]-4x^3[/tex]
Then find the intervals:
Increasing -∞<x<0, Decreasing 0>x>∞
Plug x = 0 into [tex]-x^4[/tex]+3: 3
Therefore the maximum interval of [tex]f(x) = -x^4 + 3[/tex] is (0, 3)
What are the relative minimum and relative maximum values over the interval [1, 5] for the function shown in the graph?
Responses
a. relative minimum = −3, relative maximum = −14
b. relative minimum = 1.5, relative maximum = 4.5
c. relative minimum = 1.5, relative maximum = −3
d. relative minimum = −14, relative maximum = −3
Answer:
d
Step-by-step explanation:
As you can tell by the graphs the relative minimum is -14 since that is where the curve ends and -3 is the maximum due to the top curve being at -3
Answer:
d) relative minimum = −14, relative maximum = −3
Step-by-step explanation:
The relative minimum and maximum values are the minimum and maximum y-values of the points in the domain of the function.
From inspection of the given graph, the minimum y-value in the interval [1, 5] is -14 and the maximum y-value in the interval [1, 5] is -3.
Therefore:
Relative minimum = -14Relative maximum = -3