Answer:
Below!
Step-by-step explanation:
Given data: 1, 3, 5, 8, 10
Determining the median of the data:
The median is the "middle number" of the data in ascending or descending order. In this case, the data is already in ascending form. Since the number of digits in the data is ODD, we will use to formula (n + 1)/2 (where "n" is the number of digits) to determine the median.
⇒ (n + 1)/2⇒ (5 + 1)/2⇒ (6)/2⇒ 3Determining the mean of the data:
The mean of the data is the average number of the data (as said above). To determine the average number (mean), we need to sum the digits in the data and divide it by the total digits in the data. In this case, the sum of the digits in the data is 27 and the total digits in the data is 5.
⇒ Mean = (27)/5⇒ Mean = 5.4Determining the mode of the data:
The mode of the data is the number that has repeated the most.
⇒ "1" has been repeated once⇒ "3" has been repeated once⇒ "5" has been repeated once⇒ "8" has been repeated once⇒ "10" has been repeated onceSince all the digits in the data has repeated once, all the numbers in the data (1, 3, 4, 8, 10) are the mode.
Determining the range of the data:
The range of the data is the difference of the largest and smallest number (As said above).
⇒ Range = Largest number - Smallest number⇒ Range = 10 - 1⇒ Range = 9Answer:
Median: 5
Mean: 5.4
Mode: 1, 3, 5, 8, 10
Range: 9
Step-by-step explanation:
Median: the middle value.
Mean: the average (found by adding up all of the numbers and dividing them by the number of numbers in the data set).
Mode: the number that is most frequent.
Range: the difference between the biggest and smallest values.
First, make sure your data set is in numerical order: 1, 3, 5, 8, 10
Median: 5
1, 3, 5, 8, 10
Mean: 5.4
1 + 3 + 5 + 8 + 10 = 27
27/5 = 5.4
Mode: 1, 3, 5, 8, 10
1, 3, 5, 8, 10
All of them, as they all appear once.
Range: 9
10 - 1 = 9
Hope this helps!
The lengths of the sides of a triangle are 9, 12, and 15. Classify the triangle as acute, right, or obtuse.
Answer:
right angle triangle
Step-by-step explanation:
by applying Pythagoras theorem
[tex] RHS ={9}^{2} + 12 ^{2} = 81 + 144 = 225=√225 =15=LHS[/tex]
hence proved
How much would it cost to tile a room that is 279 square feet If each 6 inch tile cost $0.65?
Answer:
$362.70
Step-by-step explanation:
An unknown number x is at most 10. Which graph best represents all the values of x?
Answer:
It is the last one.
Step-by-step explanation:
I know Math :)
What is the root of 12x=9+5x2
Answer:
Step-by-step explanation:
Answer:
(6 ± 3i)/5
Step-by-step explanation:
12x = 9 + 5x²
5x² - 12x + 9 = 0
Method 1
Factors that add to = b (-12) and multiply to = ac (45): 3 and -15
5x² + 3x - 15x + 9 = 0
5x(x - 3) + 3(x + 3) = 0
(x-3) and (x+3) do not match !!!!
Method 2 - Quadratic Formula
-b ± √(b² - 4ac)/2a
12 ± √((-12)² - 4(5)(9))/2(5)
12 ± √((-12)² - 4(5)(9))/2(5)
12 ± √(144 - 180)/10
12 ± √-36/10
(12 ± 6i)/10
(6 ± 3i)/5
I hope this helps!
Suppose the Federal Reserve set the reserve requirement at 20%. Assume that banks lend all reserves that are not required to be held. Round the answers to two decimal places.
Answer:
whaaaat iisss these. answeeeeeeer??How many terms are there in v/3 + 2 x 5
Answer:1
Step-by-step explanation:
terms are separated by + or - signs
can someone please give me the right answer and please help me asap
Answer:
congruent
Step-by-step explanation:
if r_1=r_2 then, they should be the same... -congruent
Decide if each set might produce one or more gaps when represented by a histogram. 1.The ages of students in a sixth-grade class. 2. The ages of people in a elementary school. 3. The ages of people eating in a family restaurant.
4. the ages of people who watch football. 5. The ages of runners in a marathon.
The set of data that might produce one of more gaps on thr histogram are:
the ages of people who watch football; andthe ages of people eating in a family restaurant.What is a Histogram?A histogram is a graphical representation of data such that the data is organized by data points into user-specified ranges.
The categories of people highlighted above will cause gaps because there is an increased likelihood that their ages will vary greatly or be distanced from the mean.
Learn more about Histograms at:
https://brainly.com/question/2962546
having issues with this question
Answer:
[tex]5q^8y^{16}\sqrt{5qy}[/tex]
Step-by-step explanation:
[tex]\sqrt{125q^{17}y^{33}} =\sqrt{5*5^2*q*q^{16}*y*y^{32}}=5q^8y^{16}\sqrt{5qy}[/tex]
The perimeter of an envelope is 30 inches. It is 6 inches tall. How wide is it?
Answer:
The perimeter of an 30 inch wide = 20inches wide bro
Step-by-step explanation:
There are 100 patients in a hospital with a certain disease. Of these, 10 are selected to undergo a drug treatment that increases the percentage cured rate from 50 percent to 75 percent. What is the probability that the patient received a drug treatment if the patient is known to be cured?
Answer:
1/7
Step-by-step explanation:
hope this helps x have a great day
Is the graphed function linear?
Yes, because each input value corresponds to
exactly one output value.
Yes, because the outputs increase as the inputs
increase
O No, because the graph is not continuous.
No, because the curve indicates that the rate of
change is not constant
Answer:
No Because the curve indicates that the rate of change is not constant!
Step-by-step explanation:
Linear functions are straight lines diagonally!
This function shows a rate of growth through time which isn't describing constant growth.
Constant = Linear
f an angle of a regular 18-gon measures 3x-6. Find the value of x.
The value of x in a 18-gon that has an interior angle measurement of 2x - 6 is 55.33
What are polygons?Polygons are 2-dimensional shapes that are made of straight lines.
Therefore,
sum of interior angle of polygon = 180(n - 2)
where
n = number of sidesTherefore,
sum of interior angle of polygon = 180(18 - 2)
sum of interior angle of polygon = 180(16)
sum of interior angle of polygon = 2880
Since, it is a 18-gon, the value of x can be found as follows;
2880 / 18 = 160 degrees
Therefore,
3x - 6 = 160
3x = 160 + 6
3x = 166
x = 166 /3
x = 55.3333333333
learn more on polygon here: https://brainly.com/question/14713498
For each table, determine whether the relationship shows a linear function. If
so, write the function.
X
1
y
b) 1
c)
y
y
1
9
O
3.2
1
O
4.2
2
4
5.2
3
8
6.2
4
16
7.2
5
24
2345
6303
-3
246
2
4
6
8
Step-by-step explanation:
7.2
5
24
2345
6303
-3
2467.2
5
24
2345
6303
-3
246
The linear function is given by table B and the equation y = ( 1/2 )x + 3.2
What are Linear Equations?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.
Given data ,
Let the linear function be represented as A
Now , the value of A is
Let the x values be x = { 0 , 2 , 4 , 6 , 8 }
Let the y values be y = { 3.2 , 4.2 , 5.2 , 6.2 , 7.2 }
Now , the equation of line is y - y₁ = m ( x - x₁ )
where m is the slope
m = ( 4.2 - 3.2 ) / ( 2 - 0 )
m = 1/2
On simplifying , we get
y - 3.2 = ( 1/2 ) ( x - 0 )
Adding 3.2 on both sides , we get
y = ( 1/2 )x + 3.2
Hence , the linear function is y = ( 1/2 )x + 3.2
To learn more about linear equations click :
https://brainly.com/question/10185505
#SPJ7
Simplify the following expression.
6.64 ÷ 8
A.
1.245
B.
0.664
C.
0.83
D.
0.93
Answer:
[tex]0.83[/tex]
Step-by-step explanation:
[tex]6.64 \div 8[/tex]
[tex]0.83[/tex]
Answer:
The answer should be C.)0.83, hope this helps.
Choose the equation for the graph.
Answer:
B. y = -|x - 2| + 5
Step-by-step explanation:
Here the parent function is |x|. It is flipped and translated upward by 5 units and shifted to the right by 2 units.
y = - |x - 2| + 5
hope this helps!! p.s. i really need brainliest :)
A line that includes the point (10, 0) has a slope of 1/10 slope-intercept form? What is its equation in slope-intercept form?
Step-by-step explanation:
[tex](y - 0) = \frac{1}{10} (x - 10) \\ y = \frac{1}{10} (x - 10)[/tex]
Mrs Silverstein has 14 boys and Il girls in her
class. She must select two students at random to
serve as the class presidents What is the
probability that she will choose a boy followed by a
giri?
Answer:
Step-by-step explanation:
Here, I will instead go through the process for finding the probability of choosing two girls. Then once you understand how it was done, hopefully you will be able to answer the actual question for yourself.
Finding the probability of choosing two girls. Let's make it simpler by starting with the probability of choosing the first girl only.Probability of choosing the first girl. (Note: the letter chosen to represent the event is not important. Pick something that makes sense to you and be consistent)
P(G1) = # of girls / # of total outcomesSo the number of girls we know to be 11. What is the number of total outcomes? Well a boy or a girl can be chosen, and there are 14 boys and 11 girls, for a total of 25 students.
P(G1) = 11/ 25Let's find the probability of choosing the second girl from here.
P(G2) = # of girls / # of total outcomesHowever, this time things have changed. We've already chosen one girl, so the number of girls remaining to choose from is reduced 11 to 10. And the total number of students to choose from is reduced from 25 to 24.
P(G2) = 10 / 24Now we have the probability of choosing the first girl and the probability of choosing the second girl. From here, we just need to combine them to find the probability of both things happening together. To calculate the probability of two different events occurring, you multiply the two probabilities together.
Probability of choosing two girls. Let's use T for Two girls.
P(T) = P(G1) × P(G2) = (11 /25) × (10/24)
From here you can use a calculator to find the answer. This answer can either be written as a fraction, a decimal, or a percentage.
= 0.19 = 19 / 100 = 19%
1. Suppose three companies A, B and C dominate the market for a certain product and are
competing against each other for a large share of the market. Currently company A has 2/9 of the
market, company B has 4/0 of the market and company C has 1/3 of the market. The market
survey indicates that every 6 months Company A retains of its customer and loss 1/6 to
company B and 1/12 to company C. Company B retains 12 of its customers and loss 1/3 to
company A and 1/6 to company C. Company C retains 3/8 of its customers and loss A to
company A and 3/8 to company B. Find the market share of each company in the long run is
about
The market share of the companies is an illustration of fractions.
The market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively
How to determine the market shares in the long runThe current market shares are:
Company A = 2/9Company B = 4/9Company C = 1/3After 6 months, we have:
Company A:
Retains 3/4Losses 1/6 to BLosses 1/12 to CCompany B:
Retains 1/2Losses 1/3 to ALosses 1/6 to CCompany C:
Retains 3/8Losses 1/4 to ALosses 3/8 to BThe amount of customers lost by each company is
Lost = Market share * [Share retained - Share lost to the other two companies].
So, we have:
A = 2/9 * [3/4 - 1/6 - 1/12] = 1/9
B = 4/9 * [1/2 - 1/3 - 1/6] = 0
C = 1/3 * [3/8 - 1/4 - 3/8] = -1/12
The amount of customers gained by each company is
Gain = Market share of company gained from * Share gained
So, we have:
A = 1/3 * 4/9 + 1/4 * 1/3 = 25/108
B = 1/6 * 2/9 + 3/8 * 1/3 = 35/216
C = 1/12 * 2/9 + 1/6 * 4/9 = 5/54
The total gain in 6 months is:
Total Gain = Gain + Loss.
This gives
A = 25/108 + 1/9 = 37/108
B = 35/216 + 0 = 35/216
C = 5/54 - 1/12 = 1/108
Hence, the market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively
Read more about fractions at:
https://brainly.com/question/1622425
If sodium 24 has a half life of 15 hours if there are 800g of na-24 initially how long will it take for 750g of na-25 to decay so that only 50g remains
It would take about 60 hours to decay so that only 50g of the sodium remains
How to calculate half life?The half life is 15 hours and there are 800 g initially. Let N(t) represent the amount of sodium after t hours. Hence:
[tex]N(t)=800(\frac{1}{2} )^\frac{t}{15} \\\\For\ 50g\ to \ remain:\\\\50 = 800(\frac{1}{2} )^\frac{t}{15}\\\\t=60\ hours[/tex]
It would take about 60 hours to decay so that only 50g of the sodium remains
Find out more on half life at: https://brainly.com/question/2320811
please help me Find M
Find the area of this triangle
Answer:
22
Step-by-step explanation:
22 is the area of the given traingle
Yosef waters a date tree and a lemon tree. The lemon tree is 8 feet tall, The
equation I) 3 x 8 can be used to find the height of the date tree. How do the
heights of the two trees compare?
The lemon tree in 3 feet taller than the date tree.
The lemon tree is 3 times as tall as the date treo,
The date tree is 3 feet taller than the lemon tree.
The date tree is 3 times as tall as the lemon tree,
Done -
My Progress
Che 2023 by Commanches. Al rights reserved. These material, or any portion thereof, may not be reproduced or shared in any manner without express written consent of Cumiculum
The relationship between the heights of the tree is the date tree is 3 times as tall as the lemon tree.
What does division mean?Division is the process of determining the quotient of two or more numbers. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
What is the relationship between the trees?Height of the date tree / height of the lemon tree
3 x 8 /8 = 3
To learn more about division, please check: https://brainly.com/question/13281206
HELPPPPPPPPPP!!!!!!!!!!!!!
A. true
B. false
C. false
D. false
hope it helps
have a good day :)
Find the area of the shaded region.
Find the value of y.
AABC = ADEF
A
17y - 8
B
(11x - 4)
D
23
117
12 + 13y
'C
E
Answer: 5
Step-by-step explanation:
Jackson is organizing textbooks on his bookshelf. He has an English textbook, a math textbook, and a history textbook. How many different ways can he line the textbooks up on his bookshelf?
Answer:
6
Step-by-step explanation:
Since this problem is easier, you can just do counting or you can use 3!
Which is 6
Find the perimeter of the parallelogram with these vertices.
(3.5), (-4. 2), (3.1), (-4. -2)
Give an exact answer (not a decimal approximation).
Simplify your answer as much as possible.
Check the picture below.
so we can say that two sides are "4" each in length, since opposite sides are equal, let's find how long the slanted sides are.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-4)]^2 + [5 - 2]^2}\implies d=\sqrt{(3+4)^2+3^2} \\\\\\ d=\sqrt{49+9}\implies d=\sqrt{58} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{4~~ + ~~4~~ + ~~\sqrt{58}~~ + ~~\sqrt{58}\implies 8+2\sqrt{58}}[/tex]
Which expression is equivalent
Answer:
the answer is 1/27. C :))
BRAINLIEST :D?
Find the length of c. Round your answer to the nearest tenth.
Answer:
c = 12
Step-by-step explanation:
This is a special triangle, also known as the 30-60-90 triangle. See the help image attached for another special triangle known as the 45-45-90 triangle. 30-60-90 triangle has specific rules that we can apply to this problem:
hypotenuse = 2xline opposite of 30° = xline opposite of 60° = x√3With that being said....
c = 2x
6 = x
a = x√3
We know that x = 6, so now solve for a & c:
c = 2(6) = 12
a = 6√3
Hope this helps!