Answer:
In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole
Answer:
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
Over a nine-month period, OutdoorGearLab tested hardshell jackets designed for ice climbing, mountaineering, and backpacking. Based on the breathability, durability, ver-satility, features, mobility, and weight of each jacket, an overall rating ranging from 0 (lowest) to 100 (highest) was assigned to each jacket tested. The following data show the results for 20 top-of-the line jackets (OutdoorGearLab website, February 27, 2013).
42 66 67 71 78 62 61 76 71 67
61 64 61 54 83 63 68 69 81 53
a. Compute the mean, median, and mode.
b. Compute the first and third quartiles.
c. Compute and interpret the 90th percentile.
Answer:
(a) The mean is 65.9, the median is, 66.5 and the mode is. 61.
(b) The first and third quartiles are 61 and 71 respectively.
(c) The value of the 90th percentile is, 78.3.
Step-by-step explanation:
The ratings of 20 top-of-the line jackets, arranged in ascending order are as follows:
S = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66 , 67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}
(a)
Compute the mean as follows:
[tex]\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}=\frac{1}{20}\times 1318=65.9[/tex]
Compute the median as follows:
For an even number of values the median is the average of the middle two values.
[tex]M=\frac{10^{th}obs.+11^{th}obs.}{2}=\frac{66+67}{2}=66.5[/tex]
Compute the mode as follows:
The mode of a dataset is the term that occurs most of the time.
[tex]m=61[/tex]
Thus, the mean is 65.9, the median is, 66.5 and the mode is. 61.
(b)
The first quartile is the median of the first half of the data set.
S₁ = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66}
[tex]Q_{1}=\text{Median of }S_{1}=\frac{5^{th}obs.+6^{th}obs.}{2}=\frac{61+61}{2}=61[/tex]
The third quartile is the median of the second half of the data set.
S₂ = {67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}
[tex]Q_{3}=\text{Median of }S_{2}=\frac{15^{th}obs.+16^{th}obs.}{2}=\frac{71+71}{2}=71[/tex]
Thus, the first and third quartiles are 61 and 71 respectively.
(c)
The pth percentile is a data value such that at least p% of the data set is less-than or equal to this data value and at least (100 - p)% of the data-set are more-than or equal to this data value.
Use the Excel formula "=PERCENTILE.INC(array,0.9)" to compute the 90th percentile.
The value of the 90th percentile is, 78.3.
This value implies that 90% of the ratings are less than 78.3.
NEED HELP PLEASEEEEEE
Answer:
The right algebraic expression is 2x - 1
Step-by-step explanation:
Let us change the given phrase from words to mathematics expression
Twice means multiply by 2Less than a number by a given value means the number minus the valueIn our question, the phrase is " One less than twice a number "
To change it to an algebraic expression
→ Assume that the number is x
∵ Twice a number means 2 × x = 2x
∵ One less than twice the number means 2x - 1
∴ The algebraic expression is " 2x - 1 "
→ The error in the given expression is
Translate twice a number to x²x² is square a numberThe right algebraic expression is 2x - 1
A bag contains a collection of distinguishable marbles. The bag has three red marbles, five green ones, one lavender one, two yellows, and six orange marbles.
How many sets of four marbles include exactly two green marbles? (Note that this means there must be two other non-green marbles as well).
Answer:
The total number of sets is 2,640.
Step-by-step explanation:
The number of marbles in the bag are:
S = {3R, 5G, 1L, 2Y and 6O}
There are a total of N = 17 marbles in the bag.
Four marbles are randomly selected.
Assume that the selection was without replacement.
It is provided that two of the marbles are green.
And the remaining two are non-green.
A sample of the selection is as follows:
G, G, _, _
The two green marbles can be selected in 5 × 4 = 20 ways.
So, the remaining two marbles cannot be green.
That leaves us with: 3R, 1L, 2Y and 6O = 12 marbles.
The third marble can be selected in 12 ways.
And the fourth marble can be selected in 11 ways.
So the number of combinations of selecting 4 marbles such that 2 are green and 2 are non-green is:
Total number of sets = 5 × 4 × 12 × 11 = 2640
Thus, the total number of sets is 2,640.
Pls help I will give out points and make u the Brainly
Answer:
x=4
Step-by-step explanation:
thats the answer ^^
Answer:
its the second one
1. What are the opposite and absolute value of:
a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____
Answer:
a) 7.2, -7.2, 7.2
b) -3.5, 3.5, 3.5
c) 5 1/2, -5 1/2, 5 1/2
Step-by-step explanation:
The opposite number of a value is the number that adds to it to make zero. To find the opposite of a number you need to switch the sign, either from positive to negative or vice versa. The absolute value of a number is the distance from zero it is. Since distance cannot be negative you just need to take the number and make it positive.
how to write number 11 in word form
Answer:
Eleven
Step-by-step explanation:
~I hope I helped you! :)~
At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD~=EFGH, find AD
(Diagrams are not to scale)
AD= ? ft
Answer: 300ft
Step-by-step explanation:
6th grade math i mark as brainly
Step-by-step explanation:
i mean I never did that in six grade
the answer is 915 / 7
Answer:
If you want 915/7 simplified, it is 130.714285714.
Step-by-step explanation:
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. How far would she travel in 1 minute?
Answer: She can travel a quarter of a mile in 1 minute.
Step-by-step explanation: In 8 mins she can bike 2 miles and if you split that in half then you can see she can bike 1 mile in 4 min then you can say ok well in 2 mins she can bike half a mile and just split that again and you have a Quarter of a mile in one Minute...
Consider the following simplified algebraic expression.
10x*y+6x - 7y2-6
Which could be the original expression?
8x*y+7x? - 5y?+3x-2+ 2x*y- x - 2y + 3x-4
Bx+y+ 7x? -5y?+3x-2+ 2x*y-x - 2y2 - 3x-4
8x*y+7x? - 5y2 + 3x+2+2xºy- x? - 2y3 - 3x-4
8x+y+7x2 - 5y2 + 3x-2-2x*y-x-2y? - 3x-4
Answer:
the answer is the second option hope this helped
Step-by-step explanation:
Answer:
b :)
Step-by-step explanation:
pleaseee help! This is due in 30 minutes and this is the last question I have
Find the measures of the missing angles
ma._____
mb._____
mc._____
md._____
Answer: a=57
b=64
c=116
d=59
A is 57 because the lines are parallel and alternate interior angles. B is 64 because the lines are parallel and alternate interior angles. C is 116 because of linear pair. 180 - 64(b). D is 59 because of triangle sum theorem. Sum of measures of all angles in a triangle equal 180
Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a seven and then selecting a nine.
The probability of selecting a seven and then selecting a nine is
(Round to three decimal places as needed.)
Answer:
0.006
Step-by-step explanation:
On the first draw, there are 52 cards, 4 of which are sevens.
On the second draw, there are 51 cards, 4 of which are nines.
The probability is:
(4/52) × (4/51)
= 4/663
≈ 0.006
please help ):
thank you
Answer:
A
Step-by-step explanation:
Ya Welcome
Answer:
I think its A
Step-by-step explanation:
hope this helps some
What is the value of a?
Enter your answer in the box. Enter your answer as a simplified fraction.
==========================================
Work Shown:
The scalar (2/5a+6) multiplies with the matrix on the left side to get the matrix on the right side
So this is what your steps could look like
[tex](\frac{2}{5}a+6)\begin{bmatrix}3 \\ -2 \\ 7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\\begin{bmatrix}(\frac{2}{5}a+6)*3 \\ (\frac{2}{5}a+6)*(-2) \\ (\frac{2}{5}a+6)*7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\[/tex]
[tex]\begin{bmatrix}\frac{2}{5}a*3+6*3 \\ \frac{2}{5}a*(-2)+6*(-2) \\ \frac{2}{5}a*7+6*7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\\begin{bmatrix}\frac{6}{5}a+18 \\ -\frac{4}{5}a-12 \\ \frac{14}{5}a+42\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\[/tex]
The last matrix equation leads to this system of equations
[tex]\begin{cases}\frac{6}{5}a+18=15 \\ -\frac{4}{5}a-12=-10 \\ \frac{14}{5}a+42=35\end{cases}\\\\\\[/tex]
If we pick any of those equations, and solve for 'a', then we'll get our answer.
---------------------
Let's say we pick the first equation
(6/5)a+18 = 15
(6/5)a = 15-18
(6/5)a = -3
a = -3(5/6)
a = -15/6
a = -5/2
--------------------
If we pick on the second equation, then,
(-4/5)a-12 = -10
(-4/5)a = -10+12
(-4/5)a = 2
a = 2(-5/4)
a = -10/4
a = -5/2
--------------------
Or we could solve the third equation for 'a'
(14/5)a+42 = 35
(14/5)a = 35-42
(14/5)a = -7
a = -7*(5/14)
a = -35/14
a = -5/2
-------------------
You only need to solve one equation to find 'a', though it's good practice to solve all three to see all three rows agreeing with one another.
The multiplication of the matrix by a constant will multiply for each term in the matrix value of the "a" given system of the matrix will be -2.5.
What is a matrix?A matrix is a collection of numbers lined up in rows and columns to produce a rectangular array.
In computer graphics, where they have been used to describe picture transformations and other alterations, matrices have vital applications as well in many sectors.
As per the given system of the matrix.
When we multiply anything in a matrix then it will multiply to each and every term of the matrix.
Therefore the (2/5)a + 6 will be multiplied by 3,-2, and 7 each.
So the first term of the left-hand side matrix becomes,[(2/5)a + 6]3
If we compare two matrices then each corresponding term will be the same.
Therefore, the first term of the left-hand matrix = first term of the right-hand matrix
[(2/5)a + 6]3 = 15
6a/5 + 18 = 15
6a/5 = -3
6a = -15
a = -15/6 = -2.5
Hence "The value of the "a" given system of the matrix will be -2.5".
For more about matrices,
brainly.com/question/11367104
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A recipe calls for 2 1/3 cups of flour, cups of white sugar, and cups of brown sugar. The recipe makes 6 servings.
How many cups of flour are there per serving?
Suppose you modify the recipe to triple the number of servings. How much flour do you need for the modified recipe? [PS]Can you show my how its done too?
Answer:
Lets find how much flour we need for just one serving.
2 2/3 ÷ 6
8/3 ÷ 6
8/3 * 1/6
8/18
4/9 cup of flour per serving
If we triple the recipe (6 * 3 = 18), we will have a total of 18 servings. Multiply the amount of flour we got for one serving to 18 servings.
4/9 * 18/1
72/9
8 cups of flour for 18 servings
Best of Luck!
Step-by-step explanation:
make me as brain liest
Evaluate the given expression at x= -4
-3x + 2x^2 + 2
Answer:
[tex] \huge{ \boxed{ \bold{ \text{46}}}}[/tex]
Step-by-step explanation:
If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.
[tex] \text{ \underline{ Given}} : \text{x = - 4}[/tex]
[tex] \text{ \underline{ To \: find}} : \sf{value \: of \: - 3x + 2 {x}^{2} + 2}[/tex]
[tex] \text{ Plug \: the \: value \: of \: x}[/tex]
[tex]➝ \: \sf{ - 3 * (- 4 )+ 2 * {( - 4)}^{2} + 2}[/tex]
[tex] \text{Remember!} : \text{Multiplying \: a \: negative \: integer \: by \: negative \: integer \: gives \: a \: positive \: integer.}[/tex]
➝[tex] \sf{12 + 2 * {( - 4)}^{2} + 2}[/tex]
[tex] \text{Evaluate \: the \: power}[/tex]
➝[tex] \text{12 + 2 * 16 + 2}[/tex]
[tex] \text{Multiply \: the \: numbers}[/tex]
➝[tex] \text{12 + 32 + 2}[/tex]
[tex] \text{Add \: the \: numbers}[/tex]
[tex]➝ \boxed { \text{46}}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
Answer:
46
Step-by-step explanation:
-3(-4)+2(-4)^2+2
1.634 x 2
show your work for brainliest please!
Answer:
3.268
Step-by-step explanation:
line up the decimals. we know that since 2 is a whole number the decimal will be behind the 2 making it 1.634 x 2.000. you can waste paper multimplying by 0, 3 times. Instead add focus on the 2 and the other numbers.
1.634
x 2.000
2x4, 2x3, 2x6, and 2x1
be sure to carrying your numbers and you will get 3268 + 0 + 0 + 0. from here there are 2 numbers behind the decimal so move the decimal left 3 places
3268.0 = 3.268
hope this helps!
PLEASE HELP ILL GIVE BRAINLIEST!! IGNORE THE 6 POINTS THATS JUST HOW MUCH THE QUESTION IS WORTH IN THE GRADEBOOK
Answer:
100 degrees
Step-by-step explanation:
Determine the midpoint of the line segment shown in the figure below
Answer:
.05,.05
Step-by-step explanation:
3 units right and 4 units down
Answer:
(3, 4)
Step-by-step explanation:
The Kroger Company is one of the largest grocery retailers in the United States, over 2000 grocery stores across the country. Kroger uses an online customer questionnaire to obtain performance data about its products and services and about what motivates its customers (Kroger website, April 2012). In the Kroger customers were asked if they would be willing to pay more for had each of the following four characteristics. The four questions were: pay more forproducts that have a brand name?products that are environmentally friendly?products that are organic?products that have been recommended by others?For each question, the customers had the option of responding Yes if they or No if they would not pay more.a. Are the data collected by Kroger in this example categorical orb. What measurement scale is used?
Answer:
A) Categorical
B) Nominal
Step-by-step explanation:
As we can see from the data that the question only had two answers i-e Yes or no so therefore they were categorical rather than quantitative in which he would have asked the user for how much money they were willing to pay more.
It's nominal because he asked in terms of more or less rather than some specific number
If x = 6 and y = 2, how much less is 2x+y^2 than 6x-2y^2
(the "^2" is an exponent of 2)
Answer:
8
Step-by-step explanation:
2x=12 2^2=4 6x=36
12+4=16 2^2=4 2*4=8 36-8=28
28-16=8
Will give brainliest! Which linear equation has a slope of -2 and a y-intercept of -3?
a
y = 3x + 2
b
y = 3x - 2
c
u = - 2x + 3
d
y = -2x - 3
Answer:
D. y = -2x - 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m is slope
b is y-intercept
Step 1: Define variables
m = -2
b = -3
Step 2: Substitute
y = -2x - 3
Answer:
D
y = -2x -3
Step-by-step explanation:
Hey there!
A linear equation starts with y.
y =
The slope is X (-2)
y = -2x
The y-intercept is -3
y = -2x - 3
~I hope I helped you! :)~
find the value of x.
I need to show my work***
THANK YOU
Answer:
29 = x
Step-by-step explanation:
The two angles shown are vertical angles and vertical angles are equal
59 = 2x+1
subtract 1 from each side
59-1 = 2x+1-1
58 = 2x
Divide by 2
58/2 = 2x/2
29 = x
Please help me I’ll natal brainest I need help .
Answer:
B
Step-by-step explanation:
Next time, please show us the question! Luckily I know that the question is asking "which of these is a function" but not a lot of people can assume that. The answer is B because a function can't have repeating x values or more than 1 x value that's the same. None of the x values in B repeat so it's a function! Also, remember that y values CAN repeat, so if the y values repeat, it doesn't mean it isn't a function.
Some softball players hit a softball. Amalia hit the softball 36 inches. Nick hit the softball 6 feet. Lila hit the softball 108 inches. Pablo hit the softball 2 yards. Which two players hit the softball the same distance?
Answer: Nick and Pablo
Step-by-step explanation:
6 feet and 2 yards are the same distance because each yard is 3 feet
Answer:
6 feet 2 yards
Step-by-step explanation:
A basket ball player makes 12 out of 15 free throws. What is his shooting percentage?
Answer:
80%
Step-by-step explanation:
you borrow $5,860 from a bank you will have monthly payments of $205.10 for 3 years what percent will you pay back in interest over the entire period of the loan
Answer:
26%
Step-by-step explanation:
Your 36 monthly payments will total ...
36 × $205.10 = $7383.60
$5860 of that is the amount you borrowed. The remainder is the interest you pay:
$7383.60 -5860 = $1,523.60
As a percentage of the original loan amount this is ...
$1523.60/$5860 × 100% = 26%
You pay back 26% of the original loan amount in interest.
PLEASSSSSSSSEE HELP GIVING OUT BRAINLIEST
Answer:
what type of help do you want?